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3 years ago

Suppose y varies directly with x. Write an equation relating x and y.

Mathematics

1 answer:

jolli1 [7]3 years ago

4 0

9514 1404 393

Answer:

a. y = -5x

Step-by-step explanation:

The different signs of x and y tell you the constant of proportionality will be negative (eliminating choices b and d).

A quick trial of the given values shows that choice c is incorrect, and that choice a is correct.

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Can someone Please answer some of these questions Please ASAP Thank you:)) (20 points)

Kryger [21]

Answer:

for #1 it's 1, 4, 5, 6

for #2 it's both lines have the same slope

for #3 it's both lines have a different y-intercept

Step-by-step explanation:

#1 explanation: all of them have the y-intercept of -8

ex. y = 3x (- 8) y = 5x (-8) y = 2x (-8) y = (1/3)x (-8)

#2 explanation: both have a slope of (1/4)

#3 explanation: y = (1/4)x there is not y-intercept that we know of and y = (1/4)x - 5 the y-intercept is at -5 therefore the y-intercepts are different

5 0

3 years ago

Find the value of d 2d - 5 = 17

tester [92]

Simplifying 2d + -5 = 17 Reorder the terms: -5 + 2d = 17 Solving -5 + 2d = 17 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2d = 17 + 5 Combine like terms: -5 + 5 = 0 0 + 2d = 17 + 5 2d = 17 + 5 Combine like terms: 17 + 5 = 22 2d = 22 Divide each side by '2'. d = 11 Simplifying d = 11

7 0

4 years ago

Read 2 more answers

Tom and Becky can paint Jim's fence together in 12 hours. If all people paint at the same rate, how many hours would it take to

Delvig [45]

Answer: 8 hours

Step-by-step explanation:

Let x be the time taken by each person to paint the fence.

Given: Tom and Becky can paint Jim's fence together in 12 hours.

Since all people paint at the same rate, then we have the following equation ;-

$\dfrac{1}{x}+\dfrac{1}{x}=\dfrac{1}{12}\\\\\Rightarrow\ \dfrac{2}{x}=\dfrac{1}{12}\\\\\Rightarrow\ x=24$

Thus, the time taken by each person to paint the fence alone = 24 hours

Now, the time taken by all three paint together:-

$\dfrac{1}{t}=\dfrac{1}{24}+\dfrac{1}{24}+\dfrac{1}{24}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3}{24}\\\\\Rightarrow\ t=\dfrac{24}{3}=8\text{ hours}$

Hence, it would take 8 hours if all three paint together.

3 0

3 years ago

Using place value strategy to divide 3,600÷9?

Crazy boy [7]

Answer:

The answer is 400 :)

Step-by-step explanation:

hope that helped a little

5 0

3 years ago

Learning Task 3:

padilas [110]

Answer:

$Area = x^2- 25$

$Area =9x^2 +24x + 16$

$Length = (3x -2)$

$Speed = \left(y^2-3y+1\right)$

$Product = 3m^3 + 6m^2 - 6m$

Step-by-step explanation:

Solving (1):

$Length = (x + 5)$

$Width = (x - 5)$

Required

Calculate Area

$Area = Length * Width$

$Area = (x + 5) * (x - 5)$

$Area = x^2 + 5x - 5x - 25$

$Area = x^2- 25$

Solving (2):

Given

$Length = (3x + 4)$

Required: Calculate Area

$Area =Length * Length$

$Area =(3x + 4) * (3x + 4)$

$Area =9x^2 + 12x + 12x + 16$

$Area =9x^2 +24x + 16$

Solving (3):

$Area = 3x^2 + 7x - 6$

$Width = x + 3$

Required: Calculate Length

$Area = Length * Width$

$Length = \frac{Area}{Width}$

$Length = \frac{3x^2 + 7x - 6}{x + 3}$

Factorize the numerator

$Length = \frac{3x^2 + 9x -2x - 6}{x + 3}$

$Length = \frac{3x(x + 3) -2(x + 3)}{x + 3}$

$Length = \frac{(3x -2) (x + 3)}{x + 3}$

Divide by x + 3

$Length = (3x -2)$

Solving (4):

$Distance = (2y^3 - 7y^2 + 5y -1)$

$Time = 2y - 1$

Required: Determine the average speed

This is calculated as:

$Speed = \frac{Distance}{Time}$

$Speed = \frac{2y^3 - 7y^2 + 5y -1}{2y - 1}$

Factorize the numerator

$Speed = \frac{\left(2y-1\right)\left(y^2-3y+1\right)}{2y - 1}$

$Speed = \left(y^2-3y+1\right)$

Solving (5):

Multiply $(m^2 + 2m - 2)$ by sum of $(m + 3)$ and $(2m - 3)$

First, calculate the sum:

$Sum = m + 3 + 2m - 3$

$Sum = m + 2m+3 - 3$

$Sum = 3m$

Then, the product

$Product = (m^2 + 2m - 2)(3m)$

$Product = 3m^3 + 6m^2 - 6m$

6 0

3 years ago

Read 2 more answers