Use the data in the table to complete the sentence. x y –2 7 –1 6 0 5 1 4 The function has an average rate of change of ________
1 answer:
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To convert degrees to radians, divide by 180 and multiply by pi.
Answer:
D
Step-by-step explanation:
When a polynomial f(x) is divided by (x - a) then remainder is f(a)
A
divided by (x + 4 ), then a = - 4
- 8(- 4)² + 16 = 256 - 128 + 16 = 144 ≠ 20
B
divided by (x - 2), then a = 2
3(2)³ + 7(2)² + 5(2) + 2
= 3(8) + 7(4) + 10 + 2
= 24 + 28 + 12 = = 64 ≠ 20
C
divided by (x + 5) , then a = - 5
(- 5)³ + 5(- 5)² - 4(- 5) + 6
= - 125 + 125 + 20 + 6 = 26 ≠ 20
D
divided by (x - 2), then a = 2
3 - 5(2)³ + 5(2) + 2
= 3(16) - 5(8) + 10 + 2
= 48 - 40 + 12 = 20 ← Remainder of 20
The expression that is equivalent to the given expression is -4x^-5
<h3>How to determine which expression is equivalent to the given expression?</h3>The expression is given as:
Rewrite properly as
-4x^-5x^0
Express as products
-4x^-5 * x^0
The value of x^0 is 1
So, we have:
-4x^-5 * 1
Evaluate the product
-4x^-5
Hence, the expression that is equivalent to the given expression is -4x^-5
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