Answer:
true
Step-by-step explanation:
The appropriate choice is ...
<span>C. Calculate the number of adventure books Jackson reads each month. Add the number of adventure books to the number of science fiction and mystery books.
_____
The problem simply asks for the total number of books, so calculating differences (how many more ...) is not required. </span>
Answer:
$80
Step-by-step explanation:
If we took 40% off that means that it now costs 60% of the original cost. So we are asking 60% of what number is 48?
Let x = the original cost
.6x = 48 Divide both sides by .6
x = 80.
Let's check.
What is 40% of 80?
.4 x 80 = 32. Subtract the discount from 80
80 - 32 = 48 The discounted price.
The difference of 32 · x² / (x² + 8 · x + 15) - 14 · x² / (x² - 9) is equal to [18 · x³ - 166 · x²] / [(x + 3) · (x + 5) · (x - 3)]. (Correct choice: B)
<h3>What is the result of the subtraction between two algebraic rational functions?</h3>
In this question we have a subtraction between two <em>rational</em> functions, which have to be simplified by <em>algebra</em> properties. The complete procedure is presented below:
32 · x² / (x² + 8 · x + 15) - 14 · x² / (x² - 9) Given
32 · x² / [(x + 3) · (x + 5)] - 14 · x² / [(x + 3) · (x - 3)] Factorization
[x² / (x + 3)] · [32 / (x + 5) - 14 / (x - 3)] Distributive and associative properties
[x² / (x + 3)] · [32 · (x - 3) - 14 · (x + 5)] / [(x + 5) · (x - 3)] Subtraction of rational numbers with distinct denominators
[x² / (x + 3)] · [32 · x - 96 - 14 · x - 70] / [(x + 5) · (x - 3)] Distributive property / (- 1) · a = - a
[x² / (x + 3)] · (18 · x - 166) / [(x + 5) · (x - 3)] Distributive property / Definitions of addition and subtraction
[18 · x³ - 166 · x²] / [(x + 3) · (x + 5) · (x - 3)] Mutiplication between rational numbers / Multiplication between powers / Distributive property
The difference of 32 · x² / (x² + 8 · x + 15) - 14 · x² / (x² - 9) is equal to [18 · x³ - 166 · x²] / [(x + 3) · (x + 5) · (x - 3)]. (Correct choice: B)
To learn more on rational functions: brainly.com/question/27914791
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