Answer:
A: The x-intercept of k(x) is half the x-intercept of h(x)
Step-by-step explanation:
Answer choices B, C, and D are concerned with slopes and y-intercepts. The coefficients of x in the functions are different and are related by a factor of -2, so the lines are not parallel, and one slope is not twice the other. The y-intercepts (constants) in each function are different, so they graphs do not cross the y-axis at the same place.
Hence answer choices B, C, and D can be eliminated.
The x-intercepts are found by setting y=0 and solving for x:
h(x) = 0 = -2x +4 ⇒ x = 4/2 = 2
k(x) = 0 = 4x -4 ⇒ x = 4/4 = 1
The x-intercept of k(x) is half that of h(x). . . . . . . matches choice A
Hi I would like to help you but please attach a photo thank you
The values of a and b will be -2 and 22 while the other factor in the function is x - 3/2.
<h3>How to illustrate the function?</h3>
The function is given as:
f(x) = ax³ - x² + bx - 24.
Since (x - 2) and (x - 4) are the factors, they will give functions of 8a + 2b = 28 and -16a - b = 10.
This will be solved by elimination method and the values of a and b will be -2 and 22.
Therefore, f(x) = -2x³ - x² + 22x - 24
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(+5) + (-8) = -3
That’s what I got.