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3 years ago

F(x) = – 2x^2+ 6x + 1 Find f (6)

Mathematics

1 answer:

ankoles [38]3 years ago

4 0

Answer:

f(6) = -2(6)² + 6(6) + 1

f(6) = -72 + 36 +1

f(6) = -35

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The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9

mariarad [96]

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

The height $h(t)$ of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation $h(t) = 3 +90\cdot t -16\cdot t^{2}$ , where $t$ is time in seconds. After how many seconds will the ball be 84 feet above the ground.

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

$3+90\cdot t -16\cdot t^{2} = 84$

$16\cdot t^{2}-90\cdot t +81 = 0$ (1)

By Quadratic Formula:

$t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}$

$t_{1} = 4.5\,s$ , $t_{2} = 1.125\,s$

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

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3 years ago

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umka2103 [35]

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2 years ago

What is the domain of {(1,0),(-5,7),(-4,-7),(-7,-4)}

olasank [31]

D(1,-5,-4,-7) R(0,7,-7,-4) Domain are your x values and range is your y values

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3 years ago

2. What is the interpretation of the constant of proportionality?

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Answer: It would be the first one, 0.001 kilometers per meter.

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Marta_Voda [28]

Hello!

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3 years ago