Answer:
y=-30x+450
if she reads 30 pages every day it will take 15 days
Answer:
<u><em>y = -190 cos(π t / 120) + 195</em></u>
Step-by-step explanation:
<em>General form of a sinusoidal function: y = A cos(Bt - C) + D
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<em>Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.
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<em>A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.
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2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.
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C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.
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D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.
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Your final function will be:</em>
<u><em>y = -190 cos(π t / 120) + 195</em></u>
Let length of the hypotenuse = 3x and length of given leg be x feet.
then (3x)^2 = x^2 + 648
8x^2 = 648
x^2 = 81
so x = 9 and 3x = 27
Hypotenuse is 27 feet and the leg equals 9 feet.
X=5, should be right correct me if i’m wrong.
Answer:f(g(0))= 1/5
g(f(0))= 7
Step-by-step explanation:
for f(g(0))=you solve for g(x) but you plug in 0 for x so g(0)= 8(0)+3
=3
so now you plug in the answer of the function of g(x) witch is 3 and plug it in as the x for F(x) so f(3)= 1/(3)+2
= 1/5
so f(g(0)) is equal to 1/5
Now for G(f(0)) you solve for f(x) by pluging 0 for x so F(0)= 1/(0)+2
=1/2
now you plug in 1/2 for the x of g(x) so g(1/2)= 8(1/2)+3
= 4+3
=7
so g(f(0)) is equal to 7
Hope this helps:)
