Answer:
14 and 7 or 14 and 2
Step-by-step explanation:
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The <em>expanded</em> expressions are shown below:
- (x + 1)² = x² + 2 · x + 1
- (x - 3)² = x² - 6 · x + 9
- (x + 4)² = x² + 8 · x + 16
- (x - 1/2)² = x² - x + 1/4
- 3 · (x - 5)² = 3 · (x² - 10 · x + 25) = 3 · x² - 30 · x + 75
- (1/2) · (x - 2)² = (1/2) · (x² - 4 · x + 4) = (1/2) · x² - 2 · x + 2
<h3>How to expand perfect square trinomials</h3>
<em>Perfect square</em> trinomials are polynomials of grade 2 with the form (a + b)² = a² + 2 · a · b + b². In this case, we have to expand six perfect square trinomials:
a) (x + 1)² = x² + 2 · x + 1
b) (x - 3)² = x² - 6 · x + 9
c) (x + 4)² = x² + 8 · x + 16
d) (x - 1/2)² = x² - x + 1/4
e) 3 · (x - 5)² = 3 · (x² - 10 · x + 25) = 3 · x² - 30 · x + 75
f) (1/2) · (x - 2)² = (1/2) · (x² - 4 · x + 4) = (1/2) · x² - 2 · x + 2
To learn more on perfect square trinomials: brainly.com/question/385286
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Answer:
I believe she paid $57.50
Step-by-step explanation:
I turned the percent into a decimal (.15) then I multiplied the decimal by 50 and got 57.50.
Answer:
f (g(2)) − g(f (−1)) = -5
Step-by-step explanation:
Find the value for each term:
1. f (g(2)): g(2) is 4, so we get f(4), which is = -3
2. g(f (−1)): f(-1) is -1, so we get g(-1), which is = -2
Now we can write:
f (g(2)) − g(f (−1))
-3 -2
= - 5
Answer:
the tenths place
Step-by-step explanation:
