All categories

3 years ago

Suppose y varies directly with x and y=12 when x=-3 what is the value of y when x=6?

Mathematics

1 answer:

coldgirl [10]3 years ago

7 0

Answer:

A. -24

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a directly or proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In this problem we have

For x=-3, y=12

Find the value of the constant of proportionality k

$k=\frac{y}{x}$

substitute the given values

$k=\frac{12}{-3}=-4$

The linear equation is equal to

$y=-4x$

what is the value of y when x=6?

substitute the value of x in the linear equation and solve for y

$y=-4(6)=-24$

You might be interested in

For carolina's birthday her mom took her and her friends to a water park.Carolina mom paid 42.50 for 5 students tickets. What wa

Sophie [7]

Answer:

8.5 for each student ticket

Step-by-step explanation:

Simply divide the total cost 42.5 by the amount of students 5 to get your answer.

42.5 / 5 = 8.5

7 0

2 years ago

Use linear approximation to approximate √25.3 as follows.

Sophie [7]

The idea is to use the tangent line to $f(x)=\sqrt x$ at $x=25$ in order to approximate $f(25.3)=\sqrt{25.3}$ .

We have

$f(x)=\sqrt x\implies f(25)=\sqrt{25}=5$

$f'(x)=\dfrac1{2\sqrt x}\implies f'(25)=\dfrac1{10}$

so the linear approximation to $f(x)$ is

$L(x)=f(5)+f'(5)(x-5)=5+\dfrac{x-5}{10}=\dfrac x{10}+\dfrac92$

Hence $m=\frac1{10}$ and $b=\frac92$ .

Then

$f(25.3)\approx L(25.3)=\dfrac{25.3}{10}+\dfrac92=\boxed{7.03}$

4 0

3 years ago

A man is standing on top of a 400 ft. tall building. He sees two people approaching the building along a straight road. He sees

Marina CMI [18]

Answer:

Draw a diagram. Then use tan(x) to find the remainder height of the taller building.

Step-by-step explanation:

5 0

3 years ago

A local nursery sells a large number of ornamental trees every year. The owners have determined the cost per tree C for buying a

Karo-lina-s [1.5K]

The minimum cost is achieved when 150 trees are produced giving a minimum cost of $27.5

Polynomial is an expression that involves the <em>operations of addition, subtraction, multiplication of variables.</em>

Let C represent the cost for buying and caring for n trees. Given that:

C = 0.001n² - 0.3n + 50.

The minimum cost is at dC/dn = 0, hence:

dC/dn = 0.002n - 0.3

0.002n - 0.3 = 0

0.002n = 0.3

n = 150

C(150) = 0.001(150)² - 0.3(150) + 50 = 27.5

The minimum cost is achieved when 150 trees are produced giving a minimum cost of $27.5

Find out more at: brainly.com/question/25836610

8 0

2 years ago

Is 9,972 above sea level

Lunna [17]

Yes. but if it has a negative sign in the front of it it is below sea level.

6 0

2 years ago

Read 2 more answers