Answer:
Option D.
Step-by-step explanation:
The given expression is

It is a polynomial.
(x-c) is a linear factor of polynomial p(x) if p(c)=0.
Substitute x=-1 in the given expression.

It means (x+1) is not a linear factor of given expression.
Substitute x=-2 in the given expression.

It means (x+2) is not a linear factor of given expression.
Substitute x=-4 in the given expression.

It means (x+4) is not a linear factor of given expression.
None of the given options are a linear factor of given expression.
Therefore, the correct option is D.
Answer:
Hello,
Answer C
Step-by-step explanation:
x'=x
y'=y+4
(x-1)²+(y-4)²=16
(x'-1)²+(y'-8)²=16
is the circle of center (1,5) and radius 4
<u>The y-coordinate of the center of the circle increases by 4.</u>
Answer:
The answer is C. 546.
If a population decreases by 11%, that means that 89% (100% - 11% = 89%) of cheetahs remains each number. 89% can be expressed as 0.89, so to calculate the change of the population, we must each year multiply the number of cheetahs by 0.89.
After 1 year: 1750 * 0.89 ≈ 1558
After 2 years: 1558 * 0.89 ≈ 1387
After 3 years: 1387 * 0.89 ≈ 1234
After 4 years: 1234 * 0.89 ≈ 1098
After 5 years: 1098 * 0.89 ≈ 977
After 6 years: 977 * 0.89 ≈ 870
After 7 years: 870 * 0.89 ≈ 774
After 8 years: 774 * 0.89 ≈ 689
After 9 years: 689 * 0.89 ≈ 613
After 10 years: 613 * 0.89 ≈ 546
Step-by-step explanation:
Answer:
He earned $300 all summer
Step-by-step explanation:
We are asked to write an equation and also determine the amount Ali earned all summer if he collected $75 mowing fee from a neighbor and this constitutes 1/4 of the few he had collected all summer.
Now, let the total amount of money he had all summer be $y
He collected a fourth equivalent to $75, this means 1/4 * y = 75 or y/4 = $75
Now we calculate y as y = $75 * 4 = $300