Answers
Answer:
(2, -3)
The solution to this type of problem is the point located on both lines or in other words the point at which both lines intersect. If the lines are parralel then theres no solution since they never intersect. If they are on top of one another then there are infinite solutions. FInally, if the 2 lines cross at one point, that point of intersection is the solution
Step-by-step explanation:
Answer:
no idea sorry bro because i am std in 7 ok you ask the goggle ok it is right
Related Questions
a) estimate the area under the graph of f(x) = 5 cos(x) from x = 0 to x = /2 using four approximating rectangles and right endpoints. (round your answers to four decimal places.)
Answers
The estimated area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints is approximately 0.8916.
To estimate the area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints, we can use the right Riemann sum method.
The width of each rectangle, Δx, is given by the interval width divided by the number of rectangles.
In this case, Δx = (π/2 - 0)/4 = π/8.
To calculate the right endpoint values, we evaluate f(x) at the right endpoint of each rectangle.
For the first rectangle, the right endpoint is x = π/8.
For the second rectangle, the right endpoint is x = π/4.
For the third rectangle, the right endpoint is x = 3π/8.
And for the fourth rectangle, the right endpoint is x = π/2.
Now, let's calculate the area for each rectangle by multiplying the width (Δx) by the corresponding height (f(x)):
Rectangle 1: Area = f(π/8) * Δx = 5cos(π/8) * π/8
Rectangle 2: Area = f(π/4) * Δx = 5cos(π/4) * π/8
Rectangle 3: Area = f(3π/8) * Δx = 5cos(3π/8) * π/8
Rectangle 4: Area = f(π/2) * Δx = 5cos(π/2) * π/8
Now, let's calculate the values:
Rectangle 1: Area = 5cos(π/8) * π/8 ≈ 0.2887
Rectangle 2: Area = 5cos(π/4) * π/8 ≈ 0.3142
Rectangle 3: Area = 5cos(3π/8) * π/8 ≈ 0.2887
Rectangle 4: Area = 5cos(π/2) * π/8 ≈ 0
Finally, to estimate the total area, we sum up the areas of all four rectangles:
Total Area ≈ 0.2887 + 0.3142 + 0.2887 + 0 ≈ 0.8916
Therefore, the estimated area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints is approximately 0.8916.
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For 23 years, Janet saved $1,150 at the beginning of every month in a fund that earned 3.25% compounded annually. a. What was the balance in the fund at the end of the period? Round to the nearest cent Round to the nearest cent b. What was the amount of interest earned over the period?
Answers
The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.
a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.
To calculate the balance, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.
In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:
Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683
Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:
A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51
Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.
b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:
Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance
Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49
Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.
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Kristen gathered data from her classmates about the age and contents of their backpacks. She displayed the data in two scatter plots
Answers
Answer:
Step-by-step explanation:
I got only plot B
Calculate the unit rate for Machine A and Machine B. Determine which is the greater rate.
I need help on this, asap‼️
Answers
Answer:
A: 2 1/2 ft^2/h
B: 3 1/3 ft^2/h
B has the greater rate
Step-by-step explanation:
The rate in square feet per hour is found by dividing square feet by hours.
Machine A:
(5/8 ft^2) ÷ (1/4 h) = (5/8)×(4/1) ft^2/h = 5/2 ft^2/h = 2 1/2 ft²/h
Machine B:
(2/3 ft^2) ÷ (1/5 h) = (2/3)×(5/1) ft^2/h = 10/3 ft²/h = 3 1/3 ft²/h
Machine B has the greater rate.
what is the probability of the exact sequence hhth (in that order) .25*.75*.25*.25 .25*.25*.75*.25 .75*.75*.75*.75 .25*.25*.25*.75
Answers
The probability of the exact sequence hhth is 0.01171875.
The probability of the exact sequence hhth (in that order) is 0.25 * 0.25 * 0.75 * 0.25. This is because each coin flip is an independent event, meaning that the outcome of one flip does not affect the outcome of the others.
The probability of getting heads on a single coin flip is 0.25, and the probability of getting tails is 0.75. So, to find the probability of the sequence hhth, we multiply the probabilities of each individual event together:
0.25 (probability of first flip being heads) * 0.25 (probability of second flip being heads) * 0.75 (probability of third flip being tails) * 0.25 (probability of fourth flip being heads) = 0.01171875
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Determine if the statement is true or false.
11 = 4 (mod 7)
Answers
Answer:
false
Step-by-step explanation:
11 ≠ 4
11=11
4=4
Juan used 2 pieces of rope for a project. If the pieces are 9.832 meters and 2.25 meters. How much rope did Juan use?
PLEASE HURRY
Answers
Find the distance between each pair of points.
1. 1-4.6) and (3.-7)
2. (-6,-5) and (2.0)
M=(-12,-1)
M=
4. (0.-8) and (3.2)
3. (-1, 4) and (1-1)
Answers
The distances between each pair of points are as follows:
1. (1, -4.6) and (3, -7): 3.12 (rounded to two decimal places)
2. (-6, -5) and (2, 0): √89 (exact value)
M = (-12, -1) and M = (4, 0): √257 (exact value)
4. (0, -8) and (3, 2): √109 (exact value)
3. (-1, 4) and (1, -1): √29 (exact value)
We may use the distance formula to calculate the separation between each pair of points:
d = √((x₂ - x₁)² + (y₂ - y₁)²),
where the two points' coordinates are represented by (x1, y1) and (x2, y2), respectively.
Let's determine the separation between each pair of points:
1. (1, -4.6) and (3, -7):
d = √((3 - 1)² + (-7 - (-4.6))²)
= √(2² + (-2.4)²)
= √(4 + 5.76)
= √9.76
= 3.12 (rounded to two decimal places)
2. (-6, -5) and (2, 0):
d = √((2 - (-6))² + (0 - (-5))²)
= √(8² + 5²)
= √(64 + 25)
= √89 (exact value)
M = (-12, -1) and M = (4, 0):
d = √((4 - (-12))² + (0 - (-1))²)
= √(16² + 1²)
= √(256 + 1)
= √257 (exact value)
4. (0, -8) and (3, 2):
d = √((3 - 0)² + (2 - (-8))²)
= √(3² + 10²)
= √(9 + 100)
= √109 (exact value)
3. (-1, 4) and (1, -1):
d = √((1 - (-1))² + (-1 - 4)²)
= √(2² + (-5)²)
= √(4 + 25)
= √29 (exact value)
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The snail moved 6 inches in 120 minutes what was the average speed of the snail in inches per minute
Answers
Answer:
20 inches per minute
Step-by-step explanation: You can find the answer by dividing the inches (120) by the minutes (6), 120/6 = 20
Answer:
He moved 2 inches per minute
Step-by-step explanation:
Divide the minutes by the inches.
Which of the following is true with respect to use of the linear regression model to accommodate non-linear relationships? Select all correct answers.
-The linear regression model may be extended to accommodate some forms of non-linear relationships between the response and predictor(s).
-Some forms of non-linear relationships may be accommodated in a linear model if we include transformed versions of the predictor(s).
-Polynomial regression is one method for incorporating non-linear associations in a linear model.
Answers
The linear regression model can be extended to accommodate certain forms of non-linear relationships between the response and predictor(s). Polynomial regression is one specific method for incorporating non-linear associations within the linear regression framework.
It involves understanding the flexibility of the linear regression model and the techniques available to address non-linear relationships. While the linear regression model assumes a linear relationship between the response variable and predictors, it can still be useful in accommodating certain types of non-linear relationships.
By applying appropriate transformations to the predictor variables, such as taking their squares, logarithms, or other non-linear functions, we can introduce non-linear associations into the linear regression model. This allows the model to capture curvature or other non-linear patterns in the data.
Polynomial regression is a specific approach to incorporating non-linear relationships within the linear regression framework. It involves adding polynomial terms of the predictor variables to the model, such as squared or cubed terms. By including these polynomial terms, the model can account for non-linear relationships and capture more complex patterns.
It's important to note that while linear regression can be extended to accommodate some non-linear relationships, there may be cases where more advanced non-linear regression techniques or alternative models are necessary to adequately capture complex non-linear associations. Nonetheless, the inclusion of transformed predictor variables and the use of polynomial regression are valuable approaches to address non-linear relationships within the linear regression framework.
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Which measure of variability is most general, and hence least useful? a). Median b). Range c). s d). Median Deviation.
Answers
As range doesn't reveal anything about the distributive property of the data, it is the least helpful measure of variability because it is the most generic.
1. Sort the data either ascendingly or descendingly.
2. Determine how many items are in the data set.
3. The median is the number in the middle of the list if the number of items is odd.
4. The median is the average of the two middle numbers in the list if the number of items is even.
To figure out the range:
1. Sort the data either ascendingly or descendingly.
2. To determine the range, deduct the smallest number from the largest.
As range does not reveal anything about the distribution of the data, it is the least useful measure of variability because it is the most generic. Range does not indicate where the values fall within the range; rather, it measures the difference between the highest and lowest values in a data collection.
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•Exercise #2. Suppose a market with two firms, 1 and 2, facing the inverse demand p()=10− p(Q)=10-Q where =1+2Q=q1+q2. The two firms incur a marginal cost of production c1=c2=2c1=c2=2, produce a homogeneous good, and are Cournot competitors.
•Q4) Draw the firms’ best-response functions with 1q1 on the vertical axis and 2q2 on the horizontal axis.
•Q5) Determine firm 2’s quantity at the Cournot equilibrium.
•Q6) Assume firm 1 adopts a raising rival’s cost strategy at the expense of firm 2. While firm 1’s marginal cost remains at c1=2c1=2, firm 2’s marginal cost increases to c2=4c2=4. On the same graph as the one used to answer Q4, show the effect of the raising rival’s cost strategy on the firms’ best-response functions.
•Q7) Determine firm 2’s quantity at the new Cournot equilibrium.
Q8) Determine the market price at the new Cournot equilibrium.
Answers
firm 2's quantity at the Cournot equilibrium is q2=5/3.the inverse demand function: p=10−Q=10−(q1+q2)=10−(11/5+4/5)=4. firm 2's quantity at the new Cournot equilibrium is q2=4/5.
The best response of firm 1 is given by 1q1=5−0.5q21+q2, and the best response of firm 2 is given by 2q2=5−0.5q12+q1. These best response functions are illustrated in the following diagram:
At the Cournot equilibrium, the two firms' quantities will be such that they are both choosing the best response to the other's quantity, which means that they will be producing where the two functions intersect.
Therefore, solving the two best response functions simultaneously for q1 and q2 gives:
q1=q2=5/3
Therefore, firm 2's quantity at the Cournot equilibrium is q2=5/3.
The new best response function for firm 2 is given by 2q2=5−q1+2q22. This is obtained by replacing c2=2 with c2=4 in firm 2's profit function. The new best response function is illustrated below:
At the new Cournot equilibrium, the two firms' quantities will be such that they are both choosing the best response to the other's quantity, which means that they will be producing where the two functions intersect. Therefore, solving the two best response functions simultaneously for q1 and q2 gives:
q1=11/5
q2=4/5
Therefore, firm 2's quantity at the new Cournot equilibrium is q2=4/5.
To determine the market price at the new Cournot equilibrium, we substitute the new equilibrium quantities into the inverse demand function:
p=10−Q=10−(q1+q2)=10−(11/5+4/5)=4
Therefore, the market price at the new Cournot equilibrium is p=4.
In this exercise, we consider a market with two firms, 1 and 2, facing the inverse demand p()=10− p(Q)=10-Q where =1+2Q=q1+q2.
The two firms incur a marginal cost of production c1=c2=2c1=c2=2, produce a homogeneous good, and are Cournot competitors. The best response of firm 1 is given by 1q1=5−0.5q21+q2, and the best response of firm 2 is given by 2q2=5−0.5q12+q1. These best response functions are illustrated in the diagram below:
At the Cournot equilibrium, the two firms' quantities will be such that they are both choosing the best response to the other's quantity, which means that they will be producing where the two functions intersect
. Therefore, solving the two best response functions simultaneously for q1 and q2 gives q1=q2=5/3. Therefore, firm 2's quantity at the Cournot equilibrium is q2=5/3.The new best response function for firm 2 is given by 2q2=5−q1+2q22. This is obtained by replacing c2=2 with c2=4 in firm 2's profit function.
The new best response function is illustrated in the following diagram:At the new Cournot equilibrium, the two firms' quantities will be such that they are both choosing the best response to the other's quantity, which means that they will be producing where the two functions intersect.
Therefore, solving the two best response functions simultaneously for q1 and q2 gives q1=11/5 and q2=4/5. Therefore, firm 2's quantity at the new Cournot equilibrium is q2=4/5
To determine the market price at the new Cournot equilibrium, we substitute the new equilibrium quantities into the inverse demand function: p=10−Q=10−(q1+q2)=10−(11/5+4/5)=4. Therefore, the market price at the new Cournot equilibrium is p=4.
In conclusion, we have analyzed the effect of a raising rival's cost strategy on a Cournot duopoly. We have shown that the strategy reduces firm 2's quantity and increases the market price, but does not affect firm 1's quantity.
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please help me!!!!!!!!
Answers
Answer:
x = 9
Step-by-step explanation:
5x + 6 = 6x - 3
Simplify from there:
6x - 5x = 6 + 3
x = 9
Urgent!!!!
Can someone please give me the correct answer to this question
The answers are in the picture.
I will mark you brainliest for the correct answer.
Please help!!
Answers
Answer:
2x=80°
x=40°
40°+20°=60°
Step-by-step explanation:
all triangles are 180°
A contestant on the Biggest Loser tv show started at 380 lbs. When the show ended, the contestant weighed 225 lbs. What was the contestants percent decrease?
Answers
percent = 115/380 * 100 = 40.8 %
Answer:40.789%
Step-by-step explanation:
380-225=155
155/380=0.40789 or 40.789%
Evaluate the indefinite integral by using the given substitution to reduce the integral to standard form. 121° dr S u=6-14 16-4
Answers
The indefinite integral evaluates to:
\((1/14)(7r^2 + 140r - 20 + C)\)
To evaluate the indefinite integral ∫121° dr, using the given substitution u = 6 - 14r - 4, we need to find the derivative of u with respect to r, and then substitute u and du into the integral.
Given: u = 6 - 14r - 4
Differentiating u with respect to r:
du/dr = -14
Now, we can substitute u and du into the integral:
∫121° dr = ∫(u/du) dr
Substituting u = 6 - 14r - 4 and du = -14 dr:
∫(6 - 14r - 4)/(-14) du
Simplifying the integral:
-1/14 ∫10 - 14r du
Integrating each term:
\(-1/14 [10u - (14/2)r^2 + C]\)
Simplifying further:
\(-1/14 [10(6 - 14r - 4) - (14/2)r^2 + C]\\-1/14 [60 - 140r - 40 - 7r^2 + C]\\-1/14 [-7r^2 - 140r + 20 + C]\\\)
The indefinite integral ∫121° dr, using the given substitution u = 6 - 14r - 4, simplifies to:
\(-1/14 (-7r^2 - 140r + 20 + C)\)
Therefore, the indefinite integral evaluates to:
\((1/14)(7r^2 + 140r - 20 + C)\)
Note: The constant of integration is represented by C.
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cooper 12.1.13 an artery has a circular cross section of radius 5 millimeters. the speed at which blood flows along the artery fluctuates as the heart beats. the speed after t seconds is meters per second. (a)sketch on graph paper a graph of the speed over a 3 second time span. (b)what volume of blood passes along the artery in one second? v
Answers
(a) To sketch a graph of the speed over a 3-second time span, we need to know the equation that describes the relationship between speed and time. Without this information, we cannot create an accurate graph.
(b) To find the volume of blood that passes along the artery in one second, we need to use the formula Q = A * v, where Q is the flow rate, A is the cross-sectional area of the artery, and v is the speed of blood flow. The cross-sectional area of the artery is given by A = pi * r^2, where r is the radius of the artery.
Thus, substituting the given values, we get:
A = pi * (5mm)^2 = 78.54 mm^2
v = 0.2 + 0.1 sin(2pit/0.8) (using the given information)
Q = A * v = 78.54 * (0.2 + 0.1 sin(2pit/0.8))
To find the volume of blood that passes along the artery in one second, we need to evaluate Q at t = 1 second, so we get:
Q = 78.54 * (0.2 + 0.1 sin(2pi1/0.8)) = 31.39 mm^3/s
Therefore, the volume of blood that passes along the artery in one second is approximately 31.39 cubic millimeters.
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Find a Doctor, is a small startup that helps people find a physician that best meets their needs (location, insurance accepted, etc) During a "slow time for them, they have 9 staff members taking calls from customers. On average, one call arrives every 5 minutes (standard deviation of 5 minutes). Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes) Round your answer to 2 decimal places) How long does a customer spend on average waiting on hold before they can start speaking to a representative? Minutes
Answers
On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.
To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.
Given:
9 staff members taking calls.
On average, one call arrives every 5 minutes (standard deviation of 5 minutes).
Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).
To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:
"M" stands for Markovian or memoryless arrival and service times.
"c" represents the number of servers.
In our case, we have an M/M/9 queuing model since we have 9 staff members.
The average waiting time for a customer on hold is given by the following formula:
Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))
Where:
c = number of servers (staff members) = 9
μ = average service rate (1 / average service time)
λ = average arrival rate (1 / average interarrival time)
ρ = λ / (c * μ)
First, let's calculate the average arrival rate (λ):
λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute
Next, calculate the average service rate (μ):
μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute
Now, calculate ρ:
ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407
Finally, calculate the waiting time:
Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))
= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))
≈ 1.16 minutes
Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.
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Evaluate the given integral by changing to polar coordinates. integral integral_R sin(x^2 + y^2) dA, where R is the region in the first quadrant between the circles with center the origin and radii 2 and 3
Answers
To evaluate the given integral by changing to polar coordinates, we first need to determine the limits of integration in polar form. The region R is in the first quadrant and is bounded by the circles with the center of the origin and radii 2 and 3. In polar coordinates, the equation of a circle centered at the origin is given by r = a, where a is the radius.
So, the equations of the two circles are:
r = 2 and r = 3
Since the region R is between these two circles, the limits of integration for r are:
2 ≤ r ≤ 3
To determine the limits of integration for θ, we need to consider the quadrant in which the region R lies. Since R is in the first quadrant, we have:
0 ≤ θ ≤ π/2
Now, we can express the integrand sin(x^2 + y^2) in terms of polar coordinates:
sin(x^2 + y^2) = sin(r^2)
Therefore, the integral in polar coordinates is:
∫∫R sin(x^2 + y^2) dA = ∫ from 0 to π/2 ∫ from 2 to 3 sin(r^2) r dr dθ
This integral can be evaluated using standard techniques of integration.
To evaluate the integral using polar coordinates, we first need to express the given region R and the integrand in terms of polar coordinates. In polar coordinates, x = r*cos(θ) and y = r*sin(θ), so x^2 + y^2 = r^2.
The region R is in the first quadrant and is bounded by the circles with radii 2 and 3. In polar coordinates, this translates to 0 ≤ θ ≤ π/2, 2 ≤ r ≤ 3.
Now we can rewrite the integral as:
integral_integral_R sin(x^2 + y^2) dA
= integral (θ=0 to π/2) integral (r=2 to 3) sin(r^2) * r dr dθ
Now we can evaluate the integral step by step:
1. Integrate with respect to r:
integral (θ=0 to π/2) [(-1/2)cos(r^2)] (from r=2 to r=3) dθ
= integral (θ=0 to π/2) [(-1/2)(cos(9) - cos(4))] dθ
2. Integrate with respect to θ:
[(-1/2)(cos(9) - cos(4))]*(θ evaluated from 0 to π/2)
= [(-1/2)(cos(9) - cos(4))] * (π/2)
So the final answer is:
(π/2)(-1/2)(cos(9) - cos(4))
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Y = â€"A system of equations. Y equals negative StartFraction one-half EndFraction x plus 4. X plus 2 y equals negative 8. X 4 x 2y = â€"8 How many solutions does this linear system have? one solution: (8, 0) one solution: (0, 8) no solution infinite number of solutions.
Answers
For the given system of equation there is no solution.
Given-
The given equation are,
\(y=-\dfrac{1}{2} x+4,\)
\(x+2y=8\)
On solving the second equation,
\(x+2y=8\)
\(2y=8-x\)
\(y=-\dfrac{x}{2}+4\)
This is the same equation as equation one with same slope of -1/2.Thus for with the function of y for both equation we get two parallel lines. As parallel lines do not intercept at any point hence we get no solution for the given problem.
Hence, for the given system of equation there is no solution.
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Answer:
c is the one
Step-by-step explanation:
The difference of 5 and twice a number is 37
Answers
Answer:
5 - 2n = 37
Step-by-step explanation:
What is the range of the exponential function y is equals to bx?
Answers
The range of the exponential function y = bx is all real numbers except 0.
The exponential function y = bx is defined as the equation where b is the base and x is the exponent. The range of this equation is all real numbers except 0. This is because when x is negative, the value of y will be a fraction (or a decimal) which is always a real number except for 0. When x is positive, the value of y will be a multiple of b which is also always a real number except for 0.
Therefore, the range of the exponential function y = bx is all real numbers except 0.
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Determine for which polynomial(s) (x + 2) is a factor.
Explain your answer.
P(x) = x² – 3x³ - 16x - 12
Q(x) = x³ 3x² - 16x - 12
Use synthetic division.
Answers
We can conclude that (x + 2) is not a Factor of either P(x) or Q(x) based on the synthetic division results.
To determine if (x + 2) is a factor of a polynomial, we can use synthetic division. Synthetic division allows us to divide a polynomial by a linear factor and check if the remainder is zero. If the remainder is zero, it means that the linear factor is indeed a factor of the polynomial. Let's perform synthetic division for each polynomial:
For P(x) = x² - 3x³ - 16x - 12:
-2 | -3 1 -16 -12
| 6 -14 60
--------------------
-3 7 -30 48
The remainder is 48, which is not zero. Therefore, (x + 2) is not a factor of P(x).
Now let's perform synthetic division for Q(x) = x³ + 3x² - 16x - 12:
-2 | 1 3 -16 -12
| -2 -2 36
------------------
1 1 -18 24
The remainder is 24, which is also not zero. Thus, (x + 2) is not a factor of Q(x) either.
In both cases, the remainder obtained after synthetic division is non-zero, indicating that (x + 2) is not a factor of either polynomial P(x) or Q(x).
Therefore, we can conclude that (x + 2) is not a factor of either P(x) or Q(x) based on the synthetic division results.
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Savannah and Shea both collect stamps. Savannah has
5 more stamps in her collection than Shea has. Write an
expression to represent the total number of stamps
they have.
Answers
Answer:
Step-by-step explanation:
t=s+(s+5)
t=s+s+5
t=2s+5
म.स. निकाल्नुहोस् (Find the HCF of):
x4+4and 3x2 -6x+6
सरल गर्नुहोस् (Simplify):
(Ans: x2-2x+2)
Answers
Answer:
hahahhahah yes hahahhaa
Step-by-step explanation:
nope
What's the definition of a ratio
Answers
Answer:
the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
Step-by-step explanation:
Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. lim [In(x9 - 1) - In(x5- 1)]
Answers
The limit of the given expression as x approaches 1 from the right is 1.8.
To evaluate the limit of the given expression:
\(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)
We can start by directly substituting x = 1 into the expression:
[ln(1⁹ - 1) - ln(1⁵ - 1)]
= [ln(0) - ln(0)]
However, ln(0) is undefined, so this approach doesn't provide a meaningful answer.
To apply L'Hôpital's Rule, we need to rewrite the expression as a fraction and differentiate the numerator and denominator separately. Let's proceed with this approach:
\(lim_{x - > 1}\)+ [ln(x⁹ - 1) - ln(x⁵ - 1)]
= \(lim_{x - > 1}\)+ [ln((x⁹ - 1)/(x⁵ - 1))]
Now, we can differentiate the numerator and denominator with respect to x:
Numerator:
d/dx[(x⁹ - 1)] = 9x⁸
Denominator:
d/dx[(x⁵ - 1)] = 5x⁴
Taking the limit again:
\(lim_{x - > 1}\)+ [9x⁸ / 5x⁴]
= \(lim_{x - > 1}\)+ (9/5) * (x⁸ / x⁴)
= (9/5) * \(lim_{x - > 1}\)+ (x⁸ / x⁴)
Now, we can substitute x = 1 into the expression:
(9/5) * \(lim_{x - > 1}\)+ (1⁸ / 1⁴)
= (9/5) * \(lim_{x - > 1}\)+ 1
= (9/5) * 1
= 9/5
= 1.8
The complete question is:
Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. \(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)
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when multiplying matrices, multiply the elements in each of the first matrix times the corresponding elements in each. is it true?
Answers
False, every component of the matrix is multiplied by the same amount when you multiply a matrix by a number. A new matrix is created by this operation; it is known as a scalar multiple.
A rectangular matrix is a grouping of numbers in rows and columns. A matrix element/entry is the term used to describe each number in the matrix. The combination of a real number and a matrix is referred to as scalar multiplication.
Each entry/element of the matrix is multiplied by the specified scalar in scalar multiplication. Comparatively, matrix multiplication describes the result of two matrices. This operation is totally different. We can't just multiply the corresponding entries in two matrices to multiply them.
The first matrix must have exactly as many columns as the second matrix has rows in order to perform matrix multiplication. The resulting matrix has the same number of columns and rows as the second matrix, and its number of columns matches the number of rows in the first matrix.
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Please answer my question quickly.
Answers
Answer:
b=sqrt7
Step-by-step explanation:
16=9+b^2
the diameter of a car tire is 27 in what is it area
Answers
Answer: ≈ 572.55526
Step-by-step explanation:
A = πr2 = π(13.52) ≈ 572.55526
The area of the tire is 572.27 sq meters having a radius of 27 inches.
What are the circumference and diameter of a circle?The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
If the diameter of the circle is 27 meters then the radius of the circle is
(27/2) = 13.5 meters.
So, the area of a tire with a radius of 13.5 meters is,
= π(13.5)² sq meters.
= 3.14×182.25 sq meters.
= 572.27 sq meters.
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