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2 answers:
Answer:
3
Step-by-step explanation:
The linear function
One of the points is (0,5), so
f(0) = 5
The y-intercept is at (0,5).
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The exponential function
The general formula for an exponential function is .
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Calculate the <em>value of b </em>
y₃/y₂ = [a(b)³]/[a(b)²]
250/50 = b
b = 5
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Calculate the <em>value of a </em>
250 = a(5)³
250 = a × 125
a = 2
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g(0) = 2(5)⁰
g(0) = 2 × 1
g(0) = 2
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|f(0) – g(0)| = |5 – 2|
|f(0) – g(0)| = 3
The positive difference in the y-intercepts of f(x) and g(x) is 3.
You can see the two y-intercepts on the graph below.
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The surface area of the tent is 21.4 m²
Step-by-step explanation:
To find the surface area of a prism you must calculate:
1. The perimeter of the base
2. The area of the base
3. The height of the prism
We have a triangular prism:
Its base is an equilateral triangle of side length 2 m and height 1.7 m
The height of the prism is 3 m
∵ The surface are of the prism is:
S.A = perimeter of the base × height + 2 × area of the base
∵ The perimeter of the equilateral triangle = 3 × length of a side
∵ The length of the side = 2 m
∴ The perimeter of the base = 3 × 2 = 6 m
∵ The area of the triangle = × base × height
∵ The length of the base of the triangle = 2 m
∵ The height of the triangle = 1.7 m
∴ The area of the base = × 2 × 1.7 = 1.7 m²
∵ S.A = perimeter of the base × height + 2 × area of the base
∵ The perimeter of the base = 6 m
∵ The area of the base = 1.7 m²
∵ The height of the prism = 3 m
∴ S.A = 6 × 3 + 2 × 1.7
∴ S.A = 18 + 3.4
∴ S.A = 21.4 m²
The surface area of the tent is 21.4 m²
Learn more:
You can learn more about surface area of a solid in brainly.com/question/12613605
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