To find the answer to A, plug in -2 for x. So your equation will be f(-2)=8-4(-2)
Your answer will be 16, I think.
For B, plug in 8 for f(x). The equation should be 8=8-4(x)
The answer is x=0, I think.
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
Answer:
Carl statement is correct
Step-by-step explanation:
Absolute value is the value of the number without considering the sign of the number.
Absolute value of two integer can be same
example absolute value of -3 and 3
absolute value of |-3| = 3
absolute value of | 3 | = 3
hence, two integer have same absolute value.
so, Carl statement is correct about the absolute value.
Answer:
D. 3:00 p.m.
Step-by-step explanation:
d = Distance = 320 miles
s = Speed = ![60\ \text{mph}=\dfrac{60}{3600}=\dfrac{1}{60}\ \text{miles/s}](https://tex.z-dn.net/?f=60%5C%20%5Ctext%7Bmph%7D%3D%5Cdfrac%7B60%7D%7B3600%7D%3D%5Cdfrac%7B1%7D%7B60%7D%5C%20%5Ctext%7Bmiles%2Fs%7D)
Time taken is given by
![t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{320}{\dfrac{1}{60}}\\\Rightarrow t=19200\ \text{s}](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7Bd%7D%7Bs%7D%5C%5C%5CRightarrow%20t%3D%5Cdfrac%7B320%7D%7B%5Cdfrac%7B1%7D%7B60%7D%7D%5C%5C%5CRightarrow%20t%3D19200%5C%20%5Ctext%7Bs%7D)
40 minutes break is ![40\times 60=2400\ \text{s}](https://tex.z-dn.net/?f=40%5Ctimes%2060%3D2400%5C%20%5Ctext%7Bs%7D)
Total time taken is
.
So, the entire trip took 6 hours. 6 hours after 9 a.m. is 3 p.m.
D. 147 square units is your answer