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____ [38]
3 years ago
10

The height (in feet) of punted football is a function of the time the ball is in the air. The function is defined by h(t) = - 7t

^ 2 + 48t . What is the height of the football after 4 seconds?
Mathematics
1 answer:
Kamila [148]3 years ago
8 0

Answer:

The height of the football after 4 seconds is 80 feet.

Step-by-step explanation:

You know that the height (in feet) of punted football is a function of the time the ball is in the air and it is defined by:

h(t) = -7*t²+48*t

To calculate the height of the ball after 4 seconds, you must replace the time t by the time of 4 seconds:

h(4) = -7*4²+48*4

Solving, you get:

h(4) = -7*16+48*4

h(4) = -112+192

h(4)= 80

<u><em>The height of the football after 4 seconds is 80 feet.</em></u>

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Please Help! Will Give A Brainliest!!
Ray Of Light [21]
A) because when they are equal it means that their y has the same value, which means their intersection point.


B) You should take all integers from (-2, 2) which are: -2, -1, 0, 1, 2 and put them one by one in the example:
x = -2    
    y1 = 4^-(-2) = 4^2 = 16 
    y2 = 2^(-(-2) + 1) = 2^(2+1) = 2^3 = 8
y1 ≠ y2      =>      so x=-2 isn't our answer
-------------------------------------------------------
x = -1
    y1 = 4^-(-1) = 4^1 = 4 
    y2 = 2^(-(-1) + 1) = 2^(1+1) = 2^2 = 4
y1 = y2      =>       so our answer will be x = -1
-------------------------------------------------------
x = 0
    y1 = 4^-(0) = 4^0 = 1 
    y2 = 2^(-(0) + 1) = 2^(0+1) = 2^1 = 2
y1 ≠ y2      =>      so x=0 isn't our answer
--------------------------------------------------------------
x = 1 
    y1 = 4^-(1) = 4^(-1) = 1/4 
    y2 = 2^(-(1) + 1) = 2^(-1+1) = 2^0 = 1
y1 ≠ y2      =>      so x=1 isn't our answer
--------------------------------------------------------------
x = 2 
    y1 = 4^-(2) = 4^(-2) = 1/16 
    y2 = 2^(-(2) + 1) = 2^(-2+1) = 2^(-1) = 1/2
y1 ≠ y2      =>      so x=2 isn't our answer

Which means that our final answer is: x=-1


C) You should draw both graphics, and their intersection point (x) will be the answer.


I hope it helped.


6 0
3 years ago
What is the answer for No.22 &amp; 23 please
kondor19780726 [428]
Hello!

<u>Number 22</u>: We'd plot the first point at 0 since there is no stated y-intercept. Next, we'd use our slope to determine where to plot the next point, and that would create our line. According to the problem, our slope is -\frac{1}{2}, which automatically tells us that the slope would be going downwards because it's negative. 

To plot our point, use the slope while going down and across from our y-intercept, which is 0. Go down 1, and over 2.

Your points should be at (0, 0) and (-1, 2)


<u /><u>Number 23:</u> This one will be a bit trickier since the equation is not in slope-intercept form. First, let's convert it to slope-intercept form. 

-2x + 3y = 6&#10;&#10;-2x + 2x + 3y = 6 + 2x&#10;&#10;3y = 6 + 2x&#10;&#10;3y/3y = 6/3y + 2x/3y&#10;&#10;y = 2 + 2/3x

Flip some of those numbers around to get our equation in slope-intercept form:

y =  \frac{2}{3}x  + 2

Now to graph this, we do the same as we did for the last problem. Plot our first point at (0, 2), since 2 is our y-intercept. Afterwards, go up 2 and over 3, then plot the other point.

Your points should be at (0, 2) and (4, 3)
8 0
3 years ago
the sum of three decimal numbers is 6.exactly one of the numbers is less than one.what could those numbers be?
Sergio [31]
.123
.213
.312
.321
.132
.231
5 0
3 years ago
Write 6870628 and 18333206 to the nearest thousand​
Mila [183]

The answers are:

6,871,000

and

18,333,000

5 0
3 years ago
Read 2 more answers
Which answer is a solution to the inequality?
sergey [27]

Answer:

B

Step-by-step explanation:

To determine which ordered pair is a solution, substitute the coordinates of the point into the left side of the inequality and if it satisfies the inequality then it is a solution.

A (- 3, 0 )

- 9 + 0 = - 9 < -8 → (- 3, 0) is not a solution

B (- 2, - 1)

- 6 - 1 = - 7 > - 8 → ( - 2, - 1) is a solution

C (0, - 10)

0 - 10 = - 10 < - 8 → (0, - 10) is not a solution

D (2, - 16)

6 - 16 = - 10 < - 8 → (2, - 16) is not a solution


8 0
3 years ago
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