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Lyrx [107]
3 years ago
5

Suppose the height of a punt (in feet) after t seconds can be modeled by the function

Mathematics
1 answer:
svetoff [14.1K]3 years ago
7 0

Answer:

a) 51 feet

b) 3.5 seconds

Step-by-step explanation:

The y-coordinate of the vertex of the given parabola is what we are looking for.

We first need to find the t-coordinate of the vertex.

The t-coordinate can be found using -b/(2a).

We need to compare

-16t^2+56t+2

to

at^2+bt+c

to identify a,b, and c.

a=-16

b=56

c=2

We are ready to compute -b/(2a).

-b/(2a)=-56/(2*-16)=-56/-32=7/4.

The vertex occurs at t=7/4.

To find y, we use y=2+56t-16t^2

y=2+56(7/4)-16(7/4)^2

y=51

So the maximum height is 51 feet.

Part b)

Hitting ground means the height between the ball and the ground is 0.

So we need to replace h(t) with 0.

0=2+56t-16t^2

I'm going to use quadratic formula.

a=-16

b=56

c=2

The quadratic formula is:

t=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

t=\frac{-56 \pm \sqrt{56^2-4(-16)(2)}}{2(-16)}

Computing the thing inside the square root and the thing in the denominator using my handy dandy calculator:

t=\frac{-56 \pm \sqrt{3264}}{-32}{/tex]I'm going to do the square root of 3264 now:[tex]t=\frac{-56 \pm 57.131427428}{-32}.

I'm going to compute both

\frac{-56 + 57.131427428}{-32} and -56-57.131427428}{-32} using my handy dandy calculator:

-0.035357 while the other one is 3.535357

The negative value doesn't make sense for our problem so the answer is approximately 3.5 seconds.

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Graph 9x+6y=-12 please
sasho [114]

Answer:

Attached

Step-by-step explanation:

5 0
3 years ago
How do I do this. I don’t understand how to move place values
Drupady [299]

For this case we must indicate the value of the following expression, expressed in scientific notation:

(1.2 * 10^{-3}) * (1.1 * 10^{8}) =

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Answer:

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5 0
3 years ago
Describe the relationship between the temperature and the coffee sales.
Levart [38]

The relationship between temperature and the coffee sales is a negative exponential of temperature

<h3>

What is relation?</h3>

relation is subject of order between to sets or how the connected to each other.

The temperature of liquid is essential in the  process of brewing because its affects the rate of evaporation or extraction. it refers to the test and matters that are dissolved from the coffee beans. The hot is the water, the quick it is to extract. At a high temperature, it’s tougher to control the rate of extraction. This can lead to over-evaporation of liquid, making your coffee taste too bitter since the heat strips away a lot of oxygen.

since the temperature varies over the year, which implies the taste of coffee also vary in a manner that in cold days people love coffees and in hotter days the people love to drink cold drinks instead of coffees
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Thus the relationship between the sales of coffees and temperature is negative exponential of temperature.

Learn more about relation here:
brainly.com/question/15395662

#SPJ1

3 0
2 years ago
Factor 65x^2+212x-133 completely
worty [1.4K]
65x^2 + 212x - 133
you have to use the quadratic formula 
x=( -b +/- √b²-4ac) / 2a
a is 65
b is 212
c is 133
because the first value is squared you will have 2 answers
x= 7/13
x= - 19/5

4 0
3 years ago
What is the distance between points P(8, 5) and Q(2,-3) to the nearest tenth?
Fantom [35]
I will say its the correct answer
4 0
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