Hello,
f(x)-2x-7
g(x)=-4x+3
(fog)(x)=f(g(x))=f(-4x+3)=-2(-4x+3)-7=8x-6-7=8x-13
(fog)(-5)=8*(-5)-13=-53
Answer:
8
Step-by-step explanation:
Split up the shape into three smaller shapes: a triangle at the top, a 1 by 2 rectangle, and a triangle at the bottom left. The 1 by 2 rectangle has an area of 2. The triangle at the top has an area of (4*2)/2 = 4, and the triangle at the bottom right has an area of (2*2)/2 = 2.
Therefore, the total area of the shape is 2 + 4 + 2 = 8
Hope this helped!
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The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)
<h3>How to interpret Cycle Graphs?</h3>
From the diagram attached, we can say that;
Period = 2π/k
where;
k = 2π/2.25
k = 8π/9
Thus;
h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)
h(t) = -24cos (8π/9)t + 24.5
Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;
41 = -24cos (8π/9)t + 24.5
41 - 24.5 = -24cos (8π/9)t
16.5 = -24cos (8π/9)t
-0.6875 = cos (8π/9)t
cos⁻¹0.6875 = (8π/9)t
t = 0.834 min
Thus, time interval is between;
0.834 < t < (2.25 - 0.834)
⇒ 0.834 < t < 1.416 and
(2.25 + 0.834) < t < (2.25 + 1.416)
⇒ (3.084, 3.666)
Read more about Cycle Graphs at; brainly.com/question/24461724
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3/6 is the answer
3/6is 0.50 and 2/5 is 0.40
Just divide them
Answer:
Step-by-step explanation:
-7x-3=2-7x-5
cancel equal terms
-3=2-5
calculate the difference
-3= -3
This statement is true.