Answer:
When f(n) = 4n and g(n) = n² + 2n, f(g(-6)) = 96.
Step-by-step explanation:
To evaluate f(g(-6)), first find g(-6).
g(n) = n² + 2n
Substitute value.
g(-6) = (-6)² + 2(-6)
Square -6. Remember that (-x)² = x²
g(-6) = 36 + 2(-6)
Multiply 2 and -6.
g(-6) = 36 - 12
Subtract 12 from 36.
g(-6) = 24.
Now knowing this, substitute that value into f(n).
f(g(-6)) = f(24)
f(n) = 4n
Substitute value.
f(24) = 4(24)
Multiply 4 and 24.
f(24) = 96.
If length is 42 inches, then width is 18 inches.
Step-by-step explanation:
We are given ratio of width to the length of a painting i.e 3 to 7. If the painting is 42 inches long, then how wide it is?
Solving:

So, If length is 42 inches, then width is 18 inches.
Keywords: Ratio
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Answer:
- y=0.8x
- See Explanation for others
Step-by-step explanation:
The 3 cans of beans had a total weight of 2.4 Pounds
Therefore:
- 1 can of beans = (2.4 ÷ 3) =0.8 Pounds
The following applies from the options.
- y=0.8x where y is the weight and x is the number of cans.
- A 2-column table with 3 rows. Column 1 is labeled number of cans with entries 5, 15, 20. Column 2 is labeled total weight (in pounds) with entries 4, 12, 16.
Using y=0.8x
When x=5, y=0.8 X 5=4
When x=15, y=0.8 X 15=12
When x=20, y=0.8 X 20=16

- On a coordinate plane, the x-axis is labeled number of cans and the y-axis is labeled total weight (in pounds. A line goes through points (5, 4) and (15, 12). This can be clearly seen from the table above as (5,4) and (15,12) are points on the line.
The answer would be C. ADB:310 degrees.
A major arc includes 3 points. So that eliminates answer choices B and D.
Angle ACB is a central angle and intercepts the arc AB. The measure of the central angle and the arc it intersects have the same measure. Meaning that Arc AB equals to 50 degrees.
A circle is equal to 360 degrees. So subtract the measure of the minor arc to 360 to get the measure of the major arc.
360-50=310.
Making arc ADB equal 310 degrees
Slope: -1 y- intercept: (0,8)