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2 years ago

PLEASE HELP MEEEEvaluate the function. f(x) = 4x2 + 4x - 4 Find f(3)

Mathematics

1 answer:

babymother [125]2 years ago

8 0

Answer:

Step-by-step explanation:

Evaluate the function. f(x) = 4x2 + 4x - 4 Find f(3)

f(3) = 4 x 2 + 4(3) - 4

After this step conduct PEMDAS

f(3) = 4 x 2 + 12 - 4

f(3) = 8 + 12 - 4

f(3) = 20 - 4

f(3) = 16

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Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+

tekilochka [14]

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

$h(t) = -16t^{2} + 72t + 100$

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

$h(t) = -16t^{2} + 72t + 100$

$-16t^{2} + 72t + 100 = 0$

Multiplying by (-1)

$16t^{2} - 72t - 100 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$16t^{2} - 72t - 100 = 0$

$a = 16, b = -72, c = -100$

$\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584$

$t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61$

$t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11$

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

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3 years ago

How to solve for x and what does x equal in this?

Tanya [424]

Answer:

Step-by-step explanation:

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so these two angles add up to 180 degrees

7x -3 + 12x -7 = 180

7x+12x=180+7+3

19x=190

x=10

to check if this is true we can input 10 for x in each side.

7(10)-3 = 67

12(10)-7 = 113

113+67 = 180

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1 year ago

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olya-2409 [2.1K]

Answer:

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Step-by-step explanation:

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3 years ago

4. A lampshade is in the shape of a cone. The radius iš 7 inches and the height 9

dsp73

Answer:

461.8

Step-by-step explanation:

V=(1/3) πr^2h

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2 years ago

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olga55 [171]

Answer:

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Step-by-step explanation:

1/4x1/3=0.0825

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3 years ago

PLEASE HELP MEEEEvaluate the function. f(x) = 4x2 + 4x - 4 Find f(3)​

PLEASE HELP MEEEEvaluate the function. f(x) = 4x2 + 4x - 4 Find f(3)