What is the domain of the function represented by the graph?

Write out the following proportions in words. a. 7 :28 = 2 : 8 b. 3⁄1 = 18⁄6 c. 9 : 72 = 2 : 16 d. 81⁄9 = 45⁄5

Lerok [7]

1) Proportion a.

7 : 28 = 2 : 8

That means that the ratio 7 / 28 is equal to the ratio 2 : 8.

You can verify the equality by simplifying to the simplest form:

 7 : 28 = 1 / 4 simplest form
 2 : 8 = 1 / 4 simplest form, then the proportion is right.

In words that is 7 is to 28 as 1 is to 4 ← answer

2) Proportion b.. 3⁄1 = 18⁄6


In words: 3 is to q as 18 is to 6 ← answer


You can verify the proportion by simplifiying the second fraction:


 18 / 6 = [18 / 6] / [ 6 / 6] = 3 / 1


3) Proportion c. 9 : 72 = 2 : 16


In words: 9 is to 72 as 2 is to 16 ← answer


Proove the proportion:


 9 / 72 = 1 / 8


 2 / 16 = 1 / 8


4) Proportion d. 81⁄9 = 45⁄5

In words: 81 is to 9 as 45 is to 5 ← answer

Proove it:
 81 / 9 = 9
 45 / 9 = 9

8 0

3 years ago

Read 2 more answers

What are the dimensions of the poster at 1/3 it’s current size?

Nimfa-mama [501]

Answer:

a

Step-by-step explanation:

divide 9 and 6 each by 3 and bam you got a 2x3 poster

7 0

2 years ago

Refer to example 4. Predict how many out of 1,370 students have a television in their bedroom. (Glenco p. 795)

klio [65]

Answer:

990

Step-by-step explanation:

7 0

3 years ago

Line segment GT contains the point G(−3, 5) and a midpoint at A(1, −4). What is the location of endpoint T?

algol [13]

Imagine you're moving along the segment. Since the midpoint is in the middle of the segment (obviously), it means that when you've traveled from G to A, you're halfway through your journey, along both x and y directions. So, let's break the problem in two and analyze both directions.

Along the x axis, you've moved from -3 to 1, so you moved 4 units forward. This means that you have 4 units still to go, and your journey will end at coordinate 5.

Similarly, along the y axis, you've moved from 5 to -4, so you moved 9 units downward. This means that you have 9 units still to go, and your journey will end at coordinate -13.

So, the coordinates of the endpoint are $T = (5,-13)$

If you prefer a more analyitical approach, simply write the definition of the midpoint and solve it for the coordinates of T.

We have $G = (-3, 5)$ and $T = (x_T,y_T)$ . The midpoint is computed as

$A = \left( \frac{-3+x_T}{2},\frac{5+y_T}{2} \right) = (1, -4)$

So, you have the equations

$\frac{-3+x_T}{2} = 1,\qquad \frac{5+y_T}{2} = -4$

Multply both equations by 2 to get

$-3+x_T = 2,\qquad 5+y_T = -8$

Move the constants to the right hand sides to get

$x_T = 5,\qquad y_T = -13$

8 0

3 years ago

If the revenue for the week is $2000 and the labor cost consists of two workers earning eight dollars per hour who work 40 hours

arsen [322]

To find the cost of labor for one worker, you multiply the wage by the number of hours worked.

40 * 8 = 320

Because there are two workers, now you double it.

320 * 2 = 640

To find the percentage of the revenue that this is, you do the labor cost divided by the revenue.

640 / 2000 = 0.32

Move the decimal two places to the right to get the percentage.

0.32 = 32%

The labor cost is 32% of the revenue.

8 0

3 years ago