Think: To write the equation of a line in slope-intercept form y=mx+b, you must have the slope (m) and the y-intercept (b).
g(0)= -6 tells us that the y-intercept is (0, -6). Thus, b= -6.
(0,-6) and (15,-9) are points on the line. Find the slope of the line. It is:
-9-(-6)
m = ------------- = -3/15 = -1/5
15-0
Thus, the equation of the line in question is y=(-1/5)x - 6.
Important that you understand that g(0)=-6 is also represented by (0,-6), and that -6 is the y-intercept.
The expression is: 
The value of expression when x=5 is 3
Further explanation:
We have to translate the given sentence to form an expression.
Given
"The sum of a number x and 4"
This will be equal to:

"all divided by 3"

We will put x=5,

The expression is: 
The value of expression when x=5 is 3
Keywords: Expressions, Algebra
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Answer:
Sturdy's paper plates
Step-by-step explanation:
Let's see how much 8 plates cost:
Sturdy
24/3=8
$3.12/3= $1.04
Tough
32/4=8
$4.32/4=$1.08
$1.04<$1.08
Because Tough's paper plates costs 4 cents more for 8 plates, Sturdy's paper plates are the better buy.
Option B: 36 : 1 is the ratio of the surface area of Solid A to Solid B
Explanation:
Given that the Solid A is similar to Solid B.
The volume of Solid A is 3240 m³
The volume of Solid B is 15 m³
We need to find the ratio of the surface area of Solid A to Solid B.
Thus, we have,
![\frac{SA \ of \ Solid A}{SA \ of \ Solid B}=\sqrt[3]{\frac{3240}{15}}](https://tex.z-dn.net/?f=%5Cfrac%7BSA%20%5C%20of%20%5C%20Solid%20A%7D%7BSA%20%5C%20of%20%5C%20Solid%20B%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3240%7D%7B15%7D%7D)
Dividing the terms, we get,
![\frac{SA \ of \ Solid A}{SA \ of \ Solid B}=\sqrt[3]{\frac{216}{1}}](https://tex.z-dn.net/?f=%5Cfrac%7BSA%20%5C%20of%20%5C%20Solid%20A%7D%7BSA%20%5C%20of%20%5C%20Solid%20B%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B216%7D%7B1%7D%7D)
Taking cube root, we get,

Squaring the ratios, we get,


Thus, the ratio of the surface area of Solid A to Solid B is 36 : 1
Hence, Option B is the correct answer.
Answer:

Step-by-step explanation:
Here we have
Space
in cm Area in square centimeters - 
19
58
78
94
105
117
129
62
40
0
As we can see,
and we need to divide it into 5 subintervals, where

is the length of each interval. Therefore, the subintervals are
![[0,3], [3,6], [6,9], [9,12], [12,15]](https://tex.z-dn.net/?f=%5B0%2C3%5D%2C%20%5B3%2C6%5D%2C%20%5B6%2C9%5D%2C%20%5B9%2C12%5D%2C%20%5B12%2C15%5D)
The midpoint of the first interval is calculated as

Similarly, we obtain that the midpoints of other subintervals are

By the Midpoint rule, we have

From the given data above, we have

Therefore,
