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Ivanshal [37]
3 years ago
8

Translate the verbal phrase into an algebraic expression. Simplify the expression.

Mathematics
1 answer:
adoni [48]3 years ago
7 0
X(x+6)
hope that helps :)
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A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the
zlopas [31]
1. The function h(t)=-16t^{2}+48t is a parabola of the form ax^{2}+bx. The the formula for the axis of symmetry of a parabola is x= \frac{-b}{2a}. We can infer from our function that a=-16 and b=48, so lets replace those values in our formula:
x= \frac{-b}{2a}
x= \frac{-48}{-2(16)}
x= \frac{-48}{-32}
x= \frac{3}{2}
x=1.5
We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.

2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:
0=-16t^{2}+48t
-16t(t-3)=0
t=0 or t-3=0
t=0 or t=3
From our previous point we know that the ball reaches its maximum time at t=1.5, which means that <span>it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.</span>

7 0
3 years ago
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The total pay for 12 hours of work at a base rate of (p) per hour plus a temporary raise of $2.50 per hour. How would I write th
Naddika [18.5K]
12P+2.50 HOPE THIS HELPS
4 0
3 years ago
Which of the following equations represents the graph shown?
Sonja [21]

Answer:

It's the first one. -x+2

Step-by-step explanation:

The slope is negative and the line intersects the y-intercept at positive 2.

5 0
3 years ago
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Which of the following is an arithmetic sequence?
zimovet [89]

-8~~,~~\stackrel{-8+2}{-6}~~,~~\stackrel{-6+2}{-4}~~,~~\stackrel{-4+2}{-2}\qquad \begin{cases} a_1=-8\\ d = +2 \end{cases}

6 0
2 years ago
Solve for x.<br> 8(x + 1) - 3(x + 4) = 7(2 - x)<br> Ox=11<br> Ox=-11<br> Ox= -1 1 /<br> Ox=11/
inna [77]

Answer:

1.5

Step-by-step explanation:

8(x + 1) - 3(x + 4) = 7(2 - x) \\ 8 x + 8 - 3x - 12 = 14 - 7x \\ 8x - 3x + 7x = 14 - 8 + 12 \\ 12x = 18 \\ x =  \frac{18}{12} \\ x =  \frac{3}{2}  \\  x = 1.5

3 0
3 years ago
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