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2 years ago

Using F(x) = 5x^2- 3, what is f(-3)? A. 42 B. -3 C.-48 D. -42

Mathematics

1 answer:

Gnom [1K]2 years ago

8 0

Answer: 42

Step-by-step explanation

Switch x out with 3

using Pemdas do the exponent first

3^2 is 9

then multiply

5*9= 45

then subtract

45-3=42

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The roots of the equation f(x) = x^2 - 93987 are x = √93987 and x = -√93987

<h3>What are quadratic equations?</h3>

Quadratic equations are equations that have a second degree and have the standard form of ax^2 + bx + c = 0, where a, b and c are constants and the variable a does not equal 0

<h3>How to determine the other roots of the equation?</h3>

The equation of the function is given as:

f(x) = x^2 - 93987

The above equation is a quadratic equation

Express the equation as a difference of two squares

f(x) = (x - √93987)(x + √93987)

Set the equation of the function to 0

(x - √93987)(x + √93987) = 0

Split the factors of the above function equation as follows

x - √93987 = 0 and x + √93987 = 0

Solve for x in the above equations

x = √93987 and x = -√93987

Hence, the roots of the equation f(x) = x^2 - 93987 are x = √93987 and x = -√93987

Read more about roots of equation at

brainly.com/question/776122

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1 year ago

PLEASE HELP: The mass of a ball is 128 g. It has a density of 0.5 g/cm³. What is the volume of the ball? Show your work and plac

tiny-mole [99]

Answer:

Part 1) The volume of the ball is 256 cm³

Part 2) The radius of the ball is 3.94 cm

Step-by-step explanation:

Part 1) we know that

The density is equal to divide the mass by the volume

D=m/V

Solve for the volume

The volume is equal to divide the mass by the density

V=m/D

In this problem we have

m=128 g

D=0.5 g/cm³

substitute

V=128/0.5=256 cm³

Part 2) what is the radius of the ball?

we know that

The volume of the sphere (ball) is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$V=256\ cm^{3}$

assume

$\pi =3.14$

substitute and solve for r

$256=\frac{4}{3}(3.14)r^{3}$

$768=(12.56)r^{3}$

$r^{3}=768/(12.56)$

$r=3.94\ cm$

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