Answer:
The first golf ball went higher.
Step-by-step explanation:
The equation representing the height (in feet) of a golf ball t seconds after it is hit is:
![h(t)=-16t^{2}+96t](https://tex.z-dn.net/?f=h%28t%29%3D-16t%5E%7B2%7D%2B96t)
And the graph represents the height of a second golf ball t seconds after it is hit.
From the graph it can be seen that the second ball reaches its maximum height, i.e. 100 feet, after 2.5 seconds.
Compute the height of the first ball after 2.5 seconds as follows:
![h(t)=-16t^{2}+96t\\=(-16\times 2.5^{2})+(96\times 2.5)\\=-100+240\\=140](https://tex.z-dn.net/?f=h%28t%29%3D-16t%5E%7B2%7D%2B96t%5C%5C%3D%28-16%5Ctimes%202.5%5E%7B2%7D%29%2B%2896%5Ctimes%202.5%29%5C%5C%3D-100%2B240%5C%5C%3D140)
After 2.5 seconds the first ball reaches a height of 140 feet.
This height may or may not be the maximum height.
But for the same time, the first ball goes higher that the second ball.
Thus, the first golf ball went higher.
Answer:
1. x= 9
2. x= −2
3. 51 inches
4. $213.11 each month
Step-by-step explanation:
1. Simplify both sides of the equation.
x + 7 + 7x= 25 + 6x
Combine Like Terms
(x + 7x) + (7)=6x + 25
8x + 7= 6x + 25
8x + 7= 6x + 25
Subtract 6x from both sides.
8x + 7 − 6x= 6x + 25 − 6x
2x + 7= 25
Subtract 7 from both sides.
2x + 7 − 7= 25 − 7
2x= 18
Divide both sides by 2.
2x/2= 18/2
2. Subtract 5x from both sides.
x − 5x= 5x + 8 − 5x
−4x= 8
Divide both sides by -4.
−4x/−4= 8/−4
3. First find the perimeter of the trapezoid
4 + 3 + 4 + 8= 19
A square has all equal sides
8 * 4= 32
Add them together
19 + 32 = 51 inches
4. Subtract the amount she put for finance from the total
1598.66 - 320 = 1278.66
Then divide that amount by the 6 months
1278.66 divided by 6 = 213.11
$213.11 each month
Write out the information in the vertex form;
y=a(x-h)²+k
y=a(x+3)²+7 <-- substitute the other coordinates to find the value of a
11=a(-2+3)²+7
11=a(1)²+7
11-7=a
4=a
Therefore, this equation is;
y=4(x+3)²+7
Hope I helped :)
6(3x+8)+32+12x
6•3x+6•8+32+12x
18x+48+32+12x
30x+48+32
30x/80
0.375
The function is B, you can tell using the vertical line test through each point