g(x) = 2x-6
f(x) = -4x +7
(g•f)(x) = g(f(x))
= 2(f(x)) - 6
= 2 ( -4x+7) -6
= -8x + 14 -6
= -8x +8
now
(g•f)(1) = -8(1) + 8= -8+8
= 0
so option a is answer
Answer:
I need to see the data set and graph to be able to help you more
Step-by-step explanation:
Answer:
In this set of data there is no outlier, as all numbers are relatively close.
10 x 3 x 2 = the volume
10 x 3 = 30
30 x 2 = 60 cm^3
it is cm^3 because all of the numbers you have are in cm
Answer:
(a) 169.1 m
Step-by-step explanation:
The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...
169.1 m
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The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...
cos(6°) = x/(170 m)
x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m
The horizontal distance covered is about 169.1 meters.
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<em>Additional comment</em>
Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.
