Answer:
C
Step-by-step explanation:
Part 1
<h3>Answer: 13</h3>
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Explanation:
We'll replace every copy of x with -3. Then use PEMDAS to simplify.
f(x) = -2x+7
f(-3) = -2(-3)+7
f(-3) = 6+7
f(-3) = 13
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Part 2
<h3>Answer: -11</h3>
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Explanation:
We work backwards in a sense compared to what part 1 did. Instead of finding f(x) based on x, we determine what x must be for a given f(x).
We'll replace f(x) with 29 and solve for x like so
f(x) = -2x+7
29 = -2x+7
-2x+7 = 29
-2x = 29-7
-2x = 22
x = 22/(-2)
x = -11
Note how if you replaced x with -11, we'd get,
f(x) = -2x+7
f(-11) = -2(-11)+7
f(-11) = 22+7
f(-11) = 29
which helps confirm we have the correct answer.
Answer:
64
Step-by-step explanation:
If you measure the cubes inside for the length, width and height, you get:
Length - 5 cubes
Width -5 cubes
Height - 3 cubes
The volume of the prism is 5 * 5 * 3 = 75. This means the prism can hold a total of 75 cubes
The amount of cubes already in there is 11
so 75 - 11= 64
