Write the equation of the line that passes through the given points. (-4,0) and (0,2)
Answers
Slope:-
\(\\ \sf\longmapsto m=\dfrac{2-0}{0+4}=\dfrac{-2}{4}=\dfrac{-1}{2}\)
Equation of the line in point slope form
\(\\ \sf\longmapsto y-y_1=m(x-x_1)\)
\(\\ \sf\longmapsto y-0=\dfrac{-1}{2}(x+4)\)
\(\\ \sf\longmapsto 2y=x+4\)
\(\\ \sf\longmapsto x-2y+4=0\)
Related Questions
Applesauce recipe for 8 uses 3 quarters of water. How much water for 12 people
Answers
Answer:
4.5 quartsStep-by-step explanation:
We use a proportion to solve this.
8/3 = 12/x
Cross-multiply to get:
8x = 36
x = 4.5
The answer to the question is 4.5
Sigue la secuencia 6,8,12,20
Answers
Answer:
28,38
Step-by-step explanation:
Answer:
6,8,12,20,36,68
esta multiplcando el siemprw por 2
comienza con 2 despues aumenta a 4 despues a 8 y sigues asi
The cost of renting a car is $47 /week plus $0.25 /mile traveled during that week. An equation to represent the cost would be y=47+0.25x , where x is the number of miles traveled.
Answers
Answer:
a. 61.25
b. 70
c. 212
Step-by-step explanation:
a. What is your cost if you travel 57 miles?
The cost is $ .
y=47+0.25x
y=47+0.25(57)
y=47+14.25
answer: 61.25
b. If your cost was $64.50, how many miles were you charged for traveling?
You were charged for traveling miles.
64.50-47=0.25x
17.50=1/4x
17.50*4
answer 70=x
c. Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?
The maximum number of miles you could travel is miles.
100-47
53=1/4x
answer : x= 212
A pension fund manager is considering three mutual funds The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.3%. The probability distributions of the risky funds are:Expected Return Standard DeviationStock fund (S) 14% 43%Bond fund (B) 7% 37%The correlation between the fund returns is .0459What is the reward-to-volatility ratio of the best feasible CAL?
Answers
For the correlation between the fund returns is .0459, the reward-to-volatility ratio of the best feasible CAL is equals to 0.1621 or 16.21%.
A probability distribution is helps to determine the future what frequency distribution is to the past. Standard deviation is used in the concept of risk of portfolio of investment. Risk refer to the dispersion of a probability distribution.
Stock fund (S) Bond fund (B)
Expected Return 14% 7%
Standard Deviation 43% 37%
Risk-free returns , Rf = 5.3%
Correlation coefficient = 0.459
Covariance : 0.459 = COV(s,b)/0.43×0.37
Covariance = 0.073
Stock Fund =( (σB)²− σS× σB× correationco, SandB)/((σS)²(σB)² - 2 × σS× σB× correationco, SandB)
= ((0.37)²− 0.43× 0.37× 0.0459) /((0.43)²(0.37)² −2× 0.43× 0.37× 0.0459)
Weight of S = 42.18%
Weight of B = 1 - 42.18 = 57.82%
Expected Return of the portfolio (Rp) = WS× E(RS) + WB × E(RB) = 42.18 × 14% + 57.82 × 7%
= 5.90 + 4.05 = 9.95
Standard Deviation of the portfolio (SDp)
= (WS²SD² + WB²× lSD²+ 2WS WBCov(S,B))1/2
= 28.68
Reward to volatility = (Expected return - Rf) / SD of Portfolio
= (9.95- 5.3) / 28.68
=0.1621
Hence, the required volatility is 0.1621 or 16.21%.
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1. A probability experiment which outputs a single number is a(n) _______________ ________________.
(two words)
2. A discrete random variable can output either a finite or a(n) ______________(countably, uncountably)
infinite number of values.
3. A continuous random variable has its values in one or more __________________. An example is the __________________ distribution whose density function is the horizontal line from X=a to X=b.
4. The _________________ __________________ (two words) of a discrete random variable lists every possible value that the variable can assume and the corresponding probabilities.
5. For a(n) _________________ random variable, a sample is drawn with replacement, or there is a large population size. Successive trials are independent of each other. There is a categorical variable with 2 possible values. The ________________(population, sample) is of a fixed size n.
6. For a ____________________ random variable, a sample is drawn without replacement. Successive trials are dependent on each other. There is a ____________________ (population, sample) of finite size N and a categorical variable with 2 possible values. The sample is of a fixed size _______ (N, n, p, q, r).
7. For each blank, include both the formula and the exact answer; do not use a calculator.
Given a uniform distribution with the sample space [1, 4], the height of its density function is ________________ and it has mean ________________ and standard deviation __________________.
8. The ___________________ ____________________ (two words) distribution has a density function that is bell shaped and symmetric. Its mean is 0 and its standard deviation is 1.
9. The ___________________ is also known as the average, expectation and expected value.
10. The ___________________of a discrete random variable can be found by taking the product of each outcome and its probability and then summing.
11. The ______________________ (one word!) of a discrete random variable can be found by subtracting the square of its mean from the expectation of the square of the random variable.
Answers
2. Countably
3. Intervals, Uniform
4. Probability Distribution
5. Binomial, Population
6. Hypergeometric, Population, N
7. Density function = 1/3, Mean = 2.5, Standard deviation = 0.82
8. Standard Normal
9. Mean
10. Expected value
11. Variance
A = P(1 + nr) for r
Answers
Answer:
r = (An−nP)/P
Step-by-step explanation:
A = P(1 + nr)
Divide P on both sides.
A/P = 1 + nr
Subtract 1 on both sides.
A/P - 1 = nr
Divide n on both sides.
A/P/n - 1/n = r
(An−nP)/P = r
The answer is, r = (An−nP)/P
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
here, we have,
given that,
A = P(1 + nr)
Divide P on both sides.
A/P = 1 + nr
Subtract 1 on both sides.
A/P - 1 = nr
Divide n on both sides.
A/P/n - 1/n = r
(An−nP)/P = r
hence, answer is (An−nP)/P = r.
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eight hundred twenty nine and six tenths as a decimal
Answers
Any other questions ask :)
Question
Felicia has a garden in the shape of a parallelogram as shown.
What is the area of her garden?
Answers
Answer:
Step-by-step explanation:
72ft square 2
if that helps if not sorry !
Three research departments have 9, 7, 10 and members, respectively. Each department is to select a delegate and an alternate to represent the department at a conference. In how many ways can this be done?
Answers
The number of ways that this can be done is given as follows:
272,160.
What is the Fundamental Counting Theorem?The Fundamental Counting Theorem states that if there are n independent trials, each with \(n_1, n_2, \cdots, n_n\) possible results, the total number of outcomes is calculated by the multiplication of the number of outcomes for each trial as presented as follows:
\(N = n_1 \times n_2 \times \cdots \times n_n\)
The number of ways for each department is given as follows:
Department 1: 9 delegates, 8 alternates.Department 2: 7 and 6.Department 3: 10 and 9.Hence the total number of ways is given as follows:
9 x 8 x 7 x 6 x 10 x 9 = 272,160.
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What is the slope of the line that passes through the points (9, 5) and (21, 1)?
Write your answer in simplest form.
Answers
Answer:
\(\displaystyle m = \frac{-1}{3}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: \(\displaystyle m = \frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (9, 5)
Point (21, 1)
Step 2: Solve for slope m
Substitute in points [Slope Formula]: \(\displaystyle m = \frac{1-5}{21-9}\)[Fraction] Subtract: \(\displaystyle m = \frac{-4}{12}\)[Fraction] Simplify: \(\displaystyle m = \frac{-1}{3}\)10 minutes past noon in analog time
Answers
Answer:
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through: ... Angle traced by hour hand in 12 hrs = 360°.Jul 1, 2010
16
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x) - 3?
OA.
OB.
O C
OD.
m. All rights reserved.
It is the graph of f(x) translated 3 units up.
It is the graph of f(x) translated 3 units down.
It is the graph of f(x) where the slope is decreased by 3.
It is the graph of f(x) translated 3 units to the left.
Reset
Next
Answers
Answer:
Graph translated 3 units down
Step-by-step explanation:
Tell whether the given value is a solution of the inequality. (yes or no)
-2 ≤ k/3; k = -9
Answers
Answer: No, it is not a solution
Work Shown:
-2 ≤ k/3
-2 ≤ -9/3
-2 ≤ -3
The last inequality is false because -3 should be smaller than -2 (not the other way around). Use a number line to help see this.
Since the last inequality is false, the original inequality must also be false for that particular k value. Therefore, k = -9 is not a solution.
Which number line shows the solution to 1/4x + 1 < 5?
Answers
Answer:
x < 16, the third option.
Step-by-step explanation:
1/4x + 1 < 5
1/4x < 4
x < 16
Answer: If you didn't understand the other answer its the number line that has 16 and back or as you can say number 1 Hope this helps!!
Step-by-step explanation:
The scale factor of the dimensions of two similar pieces of windows glass is 3 : 5 . The smaller piece costs $ 2.5 . How much should the larger piece cost ?
Answers
Answer:
$4 I believe
Step-by-step explanation:
hope this helps please mark brainliest if correct
What is the equation of a line that is parallel to y=4 that passes through (1, -5)
Answers
Answer:
y = - 5
Step-by-step explanation:
y = 4 is a horizontal line parallel to the x- axis
A parallel line must therefore be a horizontal line with equation
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (1, - 5) with y- coordinate - 5, thus
y = - 5 ← equation of parallel line
200z + 50 = 8000 solve this problem
Answers
Answer:
39.75
Step-by-step explanation:
First, subtract 50 from both sides
200z + 50 - 50 = 8000 - 50
200z = 7950
Then isolate the variable by dividing both sides by 200
200z/200 = 7950/200
z=39.75
If the soccer field is 60 yards by 100 yards and the team has to run around it twice how many yards will they run?
Answers
Answer:
640 yards
Step-by-step explanation:
60(4)+100(4)=640
they will run each length 4 times to create 2 laps
(60+100+60+100)+(60+100+60+100)
lap 1 + lap 2
What is the slope for y=4x+5
Answers
Answer:
4
Step-by-step explanation:
The slope for the given equation is 4.
Answer:
4
Step-by-step explanation:
Since the equation is written in y=mx+b form, we know that M is the value of the slope.
Since y=4x+5 is in slope intercept form, 5 would be (0,5) for y-Intercept
evaluate 103 × 97 without directly multiplying
Answers
Answer:
9991
Step-by-step explanation:
103 × 97
(100 +3) (50+47)
get two number which you can add to get the value in the question
n then expand
100(50+47) +3(50+47)
5000+4700+150+141
9991
What is the value of y?
Answers
please give me points
Corey deposits $3500 a bank which pays 3%
interest per year. How much money will John have in
his account after 10 years?
Answers
Answer:
35,000
Step-by-step explanation:
Answer:
Corey will have $4550.00 in is account after 10 years.
Step-by-step explanation:
This is simple interest. Here is the formula for simple interest.
\(A=P(1+r*t)\)
A = Final Amount
P = Principal Amount
R = Interest Rate
T = Time
We are given values for P, r, and t. Lets solve for A.
To get 3 percent as a decimal divide it by 100. We get 0.03.
\(P=3500\)
\(r=0.03\)
\(t=10\)
\(A=3500(1+0.03*10)\)
\(A=3500(1+0.30)\)
\(A=3500(1.30)\)
\(A=4550\)
Math math help ASAP
Answers
Answer:
103.67 in³
Step-by-step explanation:
given Volume of cone is 1/3 * π * r² * h
here given r = 6/2 = 3 , height = 11 inch
using the formula = 1/3 * π * 3² * 11
=103.67 in³ or 33π in³
What angles are adjacent to angle 4
Answers
Answer:
2,3
Step-by-step explanation:
They are the closest angles to 4.
food concession owner in a mall sold 120 beef, vegetable and pork sliders in 7 days. 20% of the sliders sold were beef and 15% were vegetable. How many pork sliders were sold?
Answers
The number of pork sliders sold is given as follows:
24 pork sliders.
How to obtain the number of pork sliders sold?The number of pork sliders sold is obtained applying the proportions in the context of the problem.
The total number of pork sliders is given as follows:
120 pork sliders.
The percentage of pork sliders sold is given as follows:
20%. (proportion of 0.2).
Hence the amount sold is given as follows:
0.2 x 120 = 24 pork sliders.
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A zip wire runs between two posts, 25m apart. The zip wire is at an angle of 10 degrees to the horizontal. Calculate the length of the zip wire.
∘
to the horizontal. Calculate the length of the zip wire
Answers
The length of the zip wire, with a 10-degree angle to the horizontal and a distance of 25 meters between the posts, is approximately 25.35 meters.
To calculate the length of the zip wire, we can use trigonometry. Let's consider the triangle formed by the zip wire, where the horizontal distance between the two posts is 25 meters and the angle between the zip wire and the horizontal is 10 degrees.
Using trigonometric functions, we can determine the length of the zip wire. In this case, we'll use the sine function because we have the opposite side (the vertical distance) and we want to find the hypotenuse (the length of the zip wire).
The formula for sine is:
sin(angle) = opposite / hypotenuse
Rearranging the formula, we have:
hypotenuse = opposite / sin(angle)
In this case, the opposite side is the vertical distance, which is h.
So, the formula becomes:
hypotenuse = h / sin(angle)
To find h, we can use the formula for the length of the zip wire:
h = 25 * tan(angle)
Substituting this into the previous formula, we get:
hypotenuse = (25 * tan(angle)) / sin(angle)
Calculating the value, we have:
hypotenuse = (25 * tan(10°)) / sin(10°)
Using a calculator, we find:
tan(10°) ≈ 0.1763
sin(10°) ≈ 0.1736
Substituting these values, we can calculate the length of the zip wire:
hypotenuse ≈ (25 * 0.1763) / 0.1736 ≈ 25.35 meters
Therefore, the length of the zip wire is approximately 25.35 meters.
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find the equation of the line through point (4,-7) and parallel to y = -2/3x + 3/2.
Answers
Answer:
y = -2/3 x - 13/3
Step-by-step explanation:
y = -2/3 x + 3/2
y = mx + b
m = -2/3
The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.
m = -2/3
y = mx + b
y = -2/3 x + b
Substitute the given point for x and y and solve for b.
-7 = -2/3 (4) + b
-21/3 = -8/3 + b
b = -13/3
Answer: y = -2/3 x - 13/3
The product of two irrational numbers is
rational. (Sometimes,Never,always)?
Answers
The product of two irrational numbers can be either rational or irrational, depending on the specific irrational numbers being multiplied. It is not always rational, nor is it never rational.
The product of two irrational numbers can be either rational or irrational, depending on the specific irrational numbers being multiplied. It is not always rational, nor is it never rational.
Consider the square root of 2 (√2) and the square root of 3 (√3), both of which are irrational numbers. When you multiply √2 and √3, you get √6, which is also an irrational number. In this case, the product of two irrational numbers is irrational.
However, there are cases where the product of two irrational numbers can be rational. For example, consider √2 and its reciprocal (1/√2), both of which are irrational. When you multiply these two numbers, you get 1, which is a rational number. So, in this case, the product of two irrational numbers is rational.
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Jules goes on a hike that will last five hours total she brings 12 cups of water after an hour she has drunk 3 cups of water at that rate. How many cups would use need for all 5 hours
Answers
Answer:
15
Step-by-step explanation:
If she drinks 3 per hour and she will be there for 5 hours (3 x 5 = 15) than he will need 15 cups of water and not 12.
Type the correct answer in each box.
Consider the expressions shown below.
A B C
Complete each of the following statements with the letter that represents the expression.
is equivalent to expression
.
is equivalent to expression
.
is equivalent to expression
.
Answers
Answer:
BAC
Step-by-step explanation:
The expression (3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to the expression A, expression (-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent to the expression C, and expression (12x² + 6x - 5) - (5x² + 8x - 12) is equivalent to the expression B.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
\(\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n\)
We have a polynomial shown in the picture.
A = -7x² - 2x + 5
B = 7x² - 2x + 7
C = 7x² + 2x - 5
The expression is:
= (3x² - 6x + 11) - (10x² - 4x + 6)
= -7x² - 2x + 5
= A
= (-3x² - 5x - 3) - (-10x² - 7x + 2)
= 7x² + 2x - 5
= C
= (12x² + 6x - 5) - (5x² + 8x - 12)
= 7x² - 2x + 7
= B
Thus, the expression (3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to the expression A, expression (-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent to the expression C, and expression (12x² + 6x - 5) - (5x² + 8x - 12) is equivalent to the expression B.
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