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Serjik [45]
2 years ago
11

Please help! f(x)=x^2. What is g(x)

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
4 0

Answer:

D

Step-by-step explanation:

The standard form for a parabola is ax^2+bx+c. In this equation, b=0 and c=0. For g(x), you would plug in your y-value that was given (which is 4) and you would plug in your x-value that that given (which is 1). Use PEMDAS. The correct answer is the one that is true.

A. g(x) = (4x)^2

4 = (4(1))^2

4 = 16. (not true)

B. g(x) = 1/4 x^2

4 = 1/4 (1)^2

4 = 1/4 (not true)

C. g(x) = 16x^2

4 = 16(1)^2

4 = 16 (not true)

D. g(x) = 4x^2

4 = 4(1)^2

4 = 4. (true --> correct answer)

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We know the following:
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Ball (sphere) volume:V₂ = \frac{4}{3} π r³
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h - height of cylinder.

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a) Since balls touch all sides of cylinder (as shown in image), it can be concluded that height of cylinder is equal to sum of diameters of 3 balls and that radius of base of cylinder is equal to radius of ball:
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b. The total volume of three balls is the sum of volumes of each ball:
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V = \frac{ V_{1}}{ V_{a} } ×100 
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