Answer:
x = -2/3 and -1
Step-by-step explanation:
3x²+5x+2 = 0
3x²+3x+2x+2=0
3x(x+1) + 2(x+1) =0
(3x + 2) (x + 1) = 0
x = -2/3 and -1
Answer:
Exact form:
x = - 2/3, -1
Decimal Form:
x = -0.6repeated, -1
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
what are product rule
The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.
The scatterplot and trend line show a positive correlation between advertising costs and sales.
Which two points can be used to find the slope of the trend line?
Point 1: ?
Point 2: ?
Answer:
Point 1: (6.4, 117)
Point 2: (6.6, 120)
Step-by-step explanation:
Answer:
Point 1: (6.4, 117)
Point 2: (6.6, 120)
Step-by-step explanation:
Select all of the expressions that are equivalent to 18x+6.
4 points
10 (2x + 1) - 2x - 4
6 (3x + 1)
0 Option 1
D Option 2
10 (2x + 1) + 2x - 4
(1 + 3x) 6
Option 3
Option 4
2 (8x + 3) + 2x
Answer: Option 2
Step-by-step explanation:
6(¹⁸ˣ⁄₆+ ⁶⁄₆)
Simplified: 6(3x+1)
Find the polar coordinates of rectangular coordinates (-√2,1). Limit θ to the interval [0,2pi) and round 2 dceimal places if needed
The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.
To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:
r = √(x² + y²)
θ = tan^⁻1(y/x)
Plugging in the given values of (-√2,1), we get:
r = √((-√2)² + 1²) = √(2 + 1) = √3
θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians
Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:
θ ≈ 2.0344 + π ≈ 5.1779 radians
Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).
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PLEASE PLEASE HELP MEEE :(
Select the correct point on the coordinate plane.
Which point can be used to form a right triangle to derive the distance formula to find the length of the line segment?
(-3, 3) and (4, -1) are the points that can be used to form a right triangle to derive the distance formula to find the length of the line segment
Determining the distance between two points.Given the line on the xy-plane, we are to determine the points on the line that can be used to determine the distance between the two points.
The required points on the line will be the two endpoints on the line. The end points are (-3, 3) and (4, -1). The distance between this points is expressed as:
D = √(-1-3)²+(4+3)²
D = √14 + 49
D = √63
Hence the points that can be used to form a right triangle to derive the distance formula are (-3, 3) and (4, -1)
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Answer: It’s -1,-3
Step-by-step explanation:
got 100 on the test
the length of the house is 1,200 feet and 1,100 feet wide. what is the perimiter
Answer:
4,600
Step-by-step explanation:
1,200+1,200+1,100+1,100
2.414114111 is a rational number true or false
A stack of 4 identical books is 6.28 high. What is the heigh of 30 of these books?
Answer:47.1
Step-by-step explanation:6.28/4=x/30
188.4=4x
47.1=x
Answer:
47.1
Step-by-step explanation:
height of 1 book=6.28÷4=1.57
height of 30 books=1.57×30=47.1
Find the value of x.
x = ___
Find the value of L that Will Maximize the profit Q=L²e^0.01L
The minimum profit occurs at L = 0, where Q = 0.
To find the value of L that maximizes the profit Q = L²\(e^{(0.01L)\).
We need to differentiate Q with respect to L and find the critical points where the derivative equals zero.
Then we can determine whether each critical point is a maximum or a minimum by examining the second derivative.
Testing for critical points:Q = L²\(e^{(0.01L)\)
Q' = \(2Le^{(0.01L)\) + \(0.01 L^2e^{(0.01L)\)
= 0(2L + 0.01L²) \(e^{(0.01L)\)
= 0L (critical point) or 200 \(e^{(0.01L)\)
= 0 (extraneous, ignore)
2L + 0.01L² = 0L(2 + 0.01L) = 0L = 0 or L = -200 (extraneous, ignore)
The only critical point is at L = 0.
Testing for maximum or minimum:Q'' = \(2e^{(0.01L)\) + 0.02Le^(0.01L) + 0.0001L²\(e^{(0.01L)Q''(0)\)
= \(2e^{(0)\) = 2Since Q''(0) > 0,
The critical point at L = 0 is a minimum.
Therefore, there is no value of L that maximizes the profit.
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The values of L that will maximize the profit are 0 and -200
Finding the value of L that will maximize the profitFrom the question, we have the following parameters that can be used in our computation:
\(Q = L\²e^{0.01L\)
Differentiate the function
So, we have
\(Q' = \frac{L \cdot (L + 200) \cdot e^{0.01L}}{100}\)
Set the equation to 0
\(\frac{L \cdot (L + 200) \cdot e^{0.01L}}{100} = 0\)
Cross multiply
\(L \cdot (L + 200) \cdot e^{0.01L} =0\)
When expanded, we have
L = 0, L + 200 = 0 and \(e^{0.01L} =0\)
When solved for L, we have
L = 0 and L = -200
Hence, the values of L are 0 and -200
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Draw the net and calculate the surface area .
Hello!
surface area
= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)
= 160cm²
what is the difference between the absolute value of -8 and the absolute value of 6
Answer:
2
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
Levi had 5 feet of wrapping paper. He then used 1 ¾ feet to wrap a box. How much wrapping paper does Levi have left?
HELP!!
6.1 - 5.4 - ( 7.7)
help
Answer:
-7
Step-by-step explanation:
i used a calculator
2.26-30 3x+y=6
(0,_)
(_,0)
(3,_)
(6,_)
(5,_)
Answer:
Step-by-step explanation:
In ordered pairs (a,b) a is the x value and b is a y value.
if we have 3x+y=6
if x=0, y=6 --> (0,6)
if y=0, x=2 -->(2,0)
if x=3, y=-3--> (3, -3)
if x=6, y= -12 --->(6, -12)
if x=6, y= -9 ---> (5, -9)
Ian took out a $19,000 personal loan to pay for his home renovations. He will not make a payment for 5 years and there is a 15% interest rate. How much will be owed in 5 years with monthly compounding?
Round your answer to the nearest cent.
Do NOT round until your final answer.
The amount owed in 5 years with monthly compounding, considering a $19,000 personal loan with a 15% interest rate, will be $34,558.52.
1. Convert the interest rate to a decimal: 15% = 0.15.
2. Determine the number of compounding periods: Since the loan compounds monthly, multiply the number of years by 12. In this case, 5 years * 12 months/year = 60 months.
3. Calculate the monthly interest rate: Divide the annual interest rate by 12. In this case, 0.15 / 12 = 0.0125.
4. Use the compound interest formula to calculate the future value:
Future Value = Principal * (1 + Monthly Interest Rate)^(Number of Compounding Periods)
Future Value = $19,000 * (1 + 0.0\(125)^{(60\))
5. Evaluate the expression inside the parentheses: (1 + 0.0\(125)^{(60\)) ≈ 1.954503.
6. Multiply the principal by the evaluated expression: $19,000 * 1.954503 = $37,133.57 (unrounded).
7. Round the final answer to the nearest cent: $34,558.52.
Therefore, in 5 years with monthly compounding, the amount owed on the $19,000 personal loan will be approximately $34,558.52.
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Sora paid $26.46 for 8.4 gallons of gasoline how much was each gasoline?
You bought a car for $16,800. You got a
loan a 3.75% interest. After all of your
payments you paid $19,950 for the car. How
long was your loan?
Answer:
less then a month
Step-by-step explanation:
3.75% of 16800 is 6300 wich + 16800 = 23100
Answer:
less then a month
Step-by-step explanation:
3.75% of 16800 is 6300 wich + 16800 = 23100
0.088 is more than 0.78, right?
Hi there!
»»————- ★ ————-««
I believe your answer is:
No.
\(0.088 < 0.78\)
»»————- ★ ————-««
Here’s why:
0.088 can be described as "eighty-eight thousandths". 0.78 can be described as "seventy-eight hundredths."Thousandths has a lesser value than hundredths. 0.088 is less than 0.78, not greater than.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Solve for X:
4/9 = x/22.5
Answer:
x = 10
Step-by-step explanation:
...................
Solve this inequality 15n<8n-21
The solution of the inequality 15n>8n-21 is given by, n<-3.
Inequality is a relation between two or more mathematical expression or quantities via unequal signs i.e. greater, less, greater or equal, less or equal, not equal.
Given that the inequality is 15n<8n-21
Solving the inequality we have,
15n<8n-21
15n-8n<8n-21-8n, subtracting from both sides
7n<-21
n<-3, dividing 7 from both sides
So the solution of the given inequality is, n<-3.
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A runner ran of a 5 kilometer race in 21 minutes. They ran the entire race at a constant speed.
How long did it take to run the entire race?
How many minutes did it take to run 1 kilometer?
the answer is 6 minutes and 46 seconds
Help, please I need the answer
Answer: -22
Good Luck!
Find the expected payback for a game in which you bet $10 on any number from 0 to 999. If your number comes up, you get $2000
The expected payback is mathematically given as
$10
This is further explained below.
What is the expected payback?Generally, The formula for calculating the anticipated payback is the product of the likelihood times the value.
E(x) = p(x_1)*x_1 + p(x_2)*x_2 + .....
In this particular scenario, we have two distinct options for repayment.
winning
The payback is $2000-$10 = $1990
x_1 = 1990
The probability of winning is one out of 100 (since the choices are 0 to 99)
p(x_1) = 1/100
Losing
The payback is negative $8 since the individual did not win anything, which makes them lose.
x_2 = -10
Because there is only one number that can win, the other 99 numbers are considered to be losing numbers.
p(x_2) = 99/100
Therefore expected payback is
E(x) = p(x_1)*x_1 + p(x_2)*x_2
= (1/100)* 1990+ (99/100)*(-10)
= $10
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CQ
Find the expected payback for a game in which you bet $10 on any number from 0 to 999. If your number comes up, you get $2000
The expected payback is
Choose the definition for the function.
A.
C.
4x
2x + 2
-
43 2
73
2x - 2
-x-4
if x < 0
if x ≥ 0
if x < 0
if x > 0
B.
D.
2x + 2
-x+4
-x + 4
2x + 2
if x ≤ 0
if x > 0
if x < 0
if x > 0
Enter
The piecewise function for this problem is defined as follows:
B.
y = 2x + 2, x ≤ 0.y = -4/3x + 4, x > 0.How to define the function?The function is a piecewise function, as the function has different definitions based on the input of the function.
The different definitions for the graph are given as follows:
Left of x = 0. (closed). Right of x = 0. (open).To the left of x = 0, we have a linear function with intercept of 2 and slope of 2, hence it is given as follows:
y = 2x + 2, x ≤ 0.
To the right of x = 0, we have a linear function with intercept of 4 and slope of -4/3, hence it is given as follows:
y = -4/3x + 4, x > 0.
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A nine-month old baby drank an average of 7 1/4 oz during each of four feedings. If the baby drank 7 1/2oz, 7 3/8oz, & 6 3/8oz in the first three feedings, how many ounces were taken during the fourth feeding?
A) 7 3/8
B) 6 3/8
C) 6 3/4
D) 7 3/4
Show work please
Answer: D) 7 3/4
Step-by-step explanation:
With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4
Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses
29 = 21 1/4 + x
Now we can isolate x by subtracting 29-21 1/4
so
x = 7 3/4 thus the answer is D
Answer:
D) 7 3/4
Step-by-step explanation:
Let x = amount of last feeding.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4
4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x
28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x
29 = 20 10/8 + x
(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)
29 = 21 2/8 + x
29 = 21 1/4 + x
x = 29 - 21 1/4
x = 28 4/4 - 21 1/4
x = 7 3/4
Answer: 7 3/4
Help asap
in each of the following replace the * with the smallest digit to make it divisble by 11
7,01,69,30*
The smallest number that will make it divisible by 11 is n = 2 and the number is A = 7,01,69,302
Given data ,
Let the missing number be represented as n
Now , the value of the original number is A = 7,01,69,30*
where * represents = n
To make a number divisible by 11, the difference between the sum of the digits in the odd-numbered positions and the sum of the digits in the even-numbered positions must be a multiple of 11.
On simplifying the equation , we get
To make the difference between the sums a multiple of 11, we need to add the smallest digit to the end. The smallest digit is 8
Hence , the number that is divisible by 11 is 7,01,69,302
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Solve for xRequired to answer. Single choice.Immersive Reader
(5 Points)
6(+2)−20=6
6
(
x
+
2
)
−
20
=
6
x
No Solution
=−1
x
=
−
1
=0
x
=
0
all real numbers
Answer:
the answer is no solution.
Step-by-step explanation:
Which two numbers are exactly 10 units away from 5?
A digital timer counts down from 5 minutes (5:00) one second at a time. For how many seconds does at least one of the three digits show a 2?
Answer:
8
Step-by-step explanation:
8 seconds after the timer start counting, the timer will show 4:52, so there you have
Time passes until the second bus catches up with the first bus = 2 hours
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
One bus leaves the terminal at 4:00 p.m. and travels at 40 miles per hour.
Speed of Bus 1 = 40 miles per hour
Time of leaving of Bus 1 = 4:00 p.m
The second bus leaves the terminal at 5:00 p.m. and travels at 60 miles per hour.
Speed of Bus 2= 60 miles per hour
Time of leaving of Bus 2 = 5:00 p.m
We need to find when they catch up
That is the distance traveled by them are same,
Let the time of travel for bus 1 be t, so time of travel for bus 2 is t -1
We have
Distance = time x Speed
Distance traveled buy bus 1 = Distance traveled buy bus 2
40 x t = 60 x (t -1 )
40 t = 60 t - 60
20t = 60
t = 3 hours,
So after 3 hours of starting of bus 1 they catch up,
Time passes until the second bus catches up with the first bus = t- 1 = 2 hours
Time passes until the second bus catches up with the first bus = 2 hours.
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complete question:
Two buses are traveling to a state park. One bus leaves the terminal at 4:00 p.m. and travels at 40 miles per hour. The second bus leaves the terminal at 5:00 p.m. and travels at 60 miles per hour. How much time passes until the second bus catches up with the first bus?Assessment timer and count Assessment items Two buses are traveling to a state park. One bus leaves the terminal at 4:00 p.m. and travels at 40 miles per hour. The second bus leaves the terminal at 5:00 p.m. and travels at 60 miles per hour. How much time passes until the second bus catches up with the first bus?