MATHEMATICS COLLEGE

What is the slope of the line?

Answers

Answer 1

Answer:

Answer:

-2

this eq. can be simplified to -

y = 5 - 2x

we know that the coefficient of x is the slope

therefore , -2 is the slope

Answer 2

Answer:

Answer:

A. -2

Step-by-step explanation:

Arrange to y-intercept form:

-4x + 7 = 2y - 3

7 = 4x + 2y - 3

7 + 3 = 4x + 2y

10 = 4x + 2y

10 - 2y = 4x

-2y = 4x - 10

y = -2x + 5

As you can see, -2 is the slope of the equation.

Related Questions

Sam wants to meet his friend Beth at a restaurant before they go to the theater.The restaurant is 9km south of the theater.
(2x - y + 3) (2x - y - 3)using identities
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Which type of graph would allow us to Quickly see how many months between 100 and 200 student were treated
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle. Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle) Step 2: m∠p − m∠o = 90 degrees (alternate interior angles) Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p Step 4: So, m∠m + m∠n = m∠p In which step did the student first make a mistake and how can it be corrected? 1.) Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles) 2.) Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles) 3.) Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles) 4.) Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)

Over the last 100 business days, harry had 20 customers on 30 of those days, 25 customers on 20 days, 35 customers on 30 days, 40 customers on 10 days, and 45 customers on 10 days. what is the variance of the number of harry's customers?

Answers

Variance = sum of all x terms (x1 - mean of x)^2 / n
the mean is the average: 20 + 25 + 35 + 40 + 45 /5 = 165/5 = 33
v = (20-33)^2 / 5 + (25-33)^2 / 5 + (35-33)^2 / 5 + (40-33)^2 / 5 + (45-33)^2 / 5
v = 33.8 + 12.8 + 0.8 + 9.8 + 28.8
v = 86

Use Gauss-Jordan elimination to nd the general solution for the following system of linear equations: z2 + 3z3 ???? z4 = 0 ????z1 ???? z2 ???? z3 + z4 = 0 ????2z1 ???? 4z2 + 4z3 ???? 2z4 = 0 (b) Give an example of a non-zero solution to the previous system of linear equations. (c) The points (1; 0; 3), (1; 1; 1), and (????2;????1; 2) lie on a unique plane a1x1 + a2x2 + a3x3 = b. Using your previous answers, nd an equation for this plane. (Hint: think about the relationship between the previous system and the one you would need to solve in this question.)

Answers

Answer:

Step-by-step explanation:

Solution is attached below

A right triangle has side 9 and hypotenuse 15. Use the Pythagorean Theorem to find the length of the third side.Provide your answer below:

Answers

Answer:

Step-by-step explanation:

Pythogorean Theorem:

a squared + b squared = c squared

9 squared or 81 + ? squared = 15 squared or 225

Inverse Pythagorean Theorem:

c squared - a squared = b squared

225 - 81 = 144

sqrt (144) = 12

12 = b

Hope this helps! Good luck!

Firm A and Firm B have debt-total assets ratios of 65 percent and 45 percent, respectively, and returns on total assets of 5% and 7%, respectively. Which firm has a greater return on equity

Answers

Answer:

Firm A

Step-by-step explanation:

D = Debt

A= Asset

E = Equity

ROA = Return on assets

ROE = Return on equity

For Firm A:

$(D)/(A)=0.65\n(E)/(A)=1-0.65=0.35\nROA = 0.05\nROE=(ROE)/((E)/(A))=(0.05)/(0.35) \nROE=0.1429=14.29\%$

For Firm B:

$(D)/(A)=0.45\n(E)/(A)=1-0.45=0.55\nROA = 0.07\nROE=(ROE)/((E)/(A))=(0.07)/(0.55) \nROE=0.1273=12.73\%$

Therefore, Firm A has a greater return on equity.

Find the first partial derivatives of the function. f(x, t) = e−9t cos(πx)

Answers

Answer:

$f_(x)(x,t) = -\pi e^(-9t) sin((\pi x))$

$f_(t)(x,t) = -9cos((\pi x)) e^(-9t)$

Step-by-step explanation:

We are given the following function:

$f(x,t) = e^(-9t) cos((\pi x))$

First derivatives:

We find the first derivatives in function of x and of t.

Function of x:

The exponential is only a function of t, so it is treated as a constant.

$f_(x)(x,t) = e^(-9t) \frac{d}{dx](cos((\pi x))) = -e^(-9t) sin((\pi x)) (d)/(dx)(\pi x) = -\pi e^(-9t) sin((\pi x))$

Function of t:

Same logic as above, the cosine as treated as a constant.

$f_(t)(x,t) = cos((\pi x)) (d)/(dt)(e^(-9t)) = cos((\pi x)) e^(-9t) (d)/(dt)(-9t) = -9cos((\pi x)) e^(-9t)$

Final answer:

To find the first partial derivatives of the function e^(-9t) cos(πx), we differentiate the function with respect to x and t separately, treating the other variable as a constant. The partial derivative with respect to x is 9t sin(πx), while the partial derivative with respect to t is -e^(-9t) cos(πx).

Explanation:

To find the first partial derivatives of the function, we will differentiate the function with respect to each variable separately while treating the other variable as a constant.

For the partial derivative with respect to x, we can treat t as a constant. Differentiating e-9t cos(πx) with respect to x gives us -9t * (-sin(πx)) = 9t sin(πx).

For the partial derivative with respect to t, we can treat x as a constant. Differentiating e-9t cos(πx) with respect to t gives us -(e-9t) * cos(πx) = -e-9t cos(πx).

Learn more about partial derivatives here:

brainly.com/question/33940949

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A zoo has 400 animals. If 40% of the animals are sick, how many animals is
that

Answers

160 animals are sick

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Which equation represents the solution of the linear equation - 4x + 5 = 9? A. x = 4 B. x = 1 C. x = -1 D. x = -4