Answer: 5x + 15
<u>Step-by-step explanation:</u>
Divide (x² + 5) into (x³ + 4x² + 5) to see what is needed to make a remainder of zero.
Let k represent the unknown number.
<u> x + 4 </u>
x² + 5 ) x³ + 4x² + 0x + 5+k
- <u>(x³ + 5x)</u>
4x² - 5x + 5+k
- <u>(4x² + 20)</u>
In order to have a remainder of zero, 4x² -5x + 5 + k must equal 4x² + 20
Solve for k:
4x² -5x + 5 + k = 4x² + 20
-5x + 5 + k = 20 <em>subtracted 4x² from both sides</em>
5 + k = 5x + 20 <em>added 5x to both sides</em>
k = 5x + 15 <em>subtracted 5 from both sides</em>
Answer:
A
Step-by-step explanation:
Jennifer would earn more than $200. She would earn $230.02 over the period.
<h3>What is the simple interest that Jennifer would earn?</h3>
Simple interest is a type of interest paid only on the money invested.
Simple interest = amount invested x interest rate x time
2302 x 5 x 0.021 = $230.20
To learn more about simple interest, please check: brainly.com/question/27328409
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Answer:
- 4 and 3
Step-by-step explanation:
Given
f(n) = 7n - 11
To evaluate f(1) and f(2) substitute n = 1 and n = 2 into f(n), that is
f(1) = 7(1) - 11 = 7 - 11 = - 4
f(2) = 7(2) - 11 = 14 - 11 = 3