Answer:
Evaluating Polynomials:
a. f(1) = -10
b. f(-3) = -239
c. f(2)² = 3125
Factoring Polynomials:
a. (x + 1)(x² - 5x + 6) = (x + 1)(x - 3)(x - 2)
b. (x² - x - 6)(x² + 6x + 9) = (x - 3)(x + 2)(x + 3)(x + 3)
c. x³ + 3x² - 4x - 12 = (x + 3)(x - 2)(x + 2)(x - 2)(x + 2)
Answer for problem 1: slope = 2, y intercept = 3
Answer for problem 2: slope = 3/4, y intercept = -2
Explanation:
Both equations are in the form y = mx+b. This is known as slope intercept form. This is because we can read off the values of the slope and y intercept very quickly. We have y = 2x+3 match up with y = mx+b. The m is the slope and b is the y intercept. So m = 2 and b = 3 for this equation. A similar situation happens with the other equation as well. It might help to rewrite the second equation into y = (3/4)x + (-2).
Step-by-step explanation:
In the recursive formula an = an−1 + 5

Suppose if a_5 is the nth term then previous term is a_4
To get the previous term we need to subtract 1 from the n
So a_n is the nth term
is the previous term
Here 5 represents the common difference between two terms
So value of previous term is represented by

Answer : 
The median for city A is 4 because the bracket is 2, 3.5, 4, 4, 5, 5.5. The middle numbers are 4 which add to eight and divide by two to make 4. The median for city B is 5. 25 because the bracket is 3.5, 4, 5, 5.5, 6, and 6. The middle numbers are 5 and 5.5 which add to 10.5 and divide by two to make 5.25.
Answer:
<h3>D. 12</h3>
Step-by-step explanation:
Which number could be the missing number?
Given the inequality expression, 1/10 > 1/ ?
We are to fine the missing number that will make the inequality true;
Cross multiply:
1 * x > 1*10
x > 10
Hence the value of x greater than 10 is the answer. From the options, the only value greater than 10 is 12. Hence 12 is the correct answer.