Answer:
A
Step-by-step explanation:
Given
2k² - k - 3
Consider the factors of the product of the k² term and the constant term which sum to give the coefficient of the k- term.
product = 2 × - 3 = - 6 and sum = - 1
The factors are + 2 and - 3
Use these factors to split the k- term
2k² + 2k - 3k - 3 ( factor the first/second and third/fourth terms )
= 2k(k + 1) - 3(k + 1) ← factor out (k + 1) from each term
= (2k - 3)(k + 1) → A
Are you asking to factor it? if so, the answer is (x-6)(x^2+6x+36)
By analyzing when the piecewise function increases and when it decreases, we can conclude that the true statement is:
"The function is increasing over the interval −8≤x≤−2."
<h3>Which statements are true?</h3>
We know that our function is made of straight lines that connect:
- Point (-8, 3) with (-2, 8) {This is an increasing line}
- Point (-2, 8) with (2, 8) {This is a horizontal line}
- Point (3, 0), and (7, -7) {This is a decreasing line}
(to see if it increases or decreases, compare the y-value of the second and first point. If the second is larger, then the line increases).
Then the statement that is true is:
3) "The function is increasing over the interval −8≤x≤−2."
If you want to learn more about piecewise functions, you can read:
brainly.com/question/3628123
3/4 x -18 = 1/4 x -4
subtract 1/4 x from each side
3/4 x -1/4 x -18 = 1/4 x- 1/4 x -4
2/4 x - 18 = -4
add 18 to each side
1/2 x -18 + 18 = -4 + 18
1/2 x =14
multiply by 2 on each side
2* 1/2 x = 14 * 2
x =28
The coordinates of r is ( 4, -1 )
