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:
B. Complementary Angles
Step-by-step explanation:
They both make up 90 degree angle.
Answer:
P(she selects the route of four specific capitals) = 1 in 2,686,320 or 3.72 x 10⁻⁷
Step-by-step explanation:
Assuming that the order at which she visits each of the four cities matters, the number of possible routes is the permutation of choosing 4 out of 42 capitals:
Therefore, the probability that she selects the route of four specific capitals is 1 in 2,686,320 or 3.72 x 10⁻⁷
Answer:
1/5
Step-by-step explanation:
We need to find the fraction of the show will be for the audience to speak. Here, the part of the audience is 20%.
We know that, percent means we need to divide the value by 100 i.e.
So, the required fraction is 1/5.