The unit price is : 65.25/9 = 7,25 $
Product of factors8=2*2*26=2*3LCM of denominators=2*2*2*3=24
It will cost Bradley $7,500 for him to cover up his T.V. screen. Honestly, I don't think that he should cover up his T.V. screen because it is useless and a waste of money.
Answer:
5.76 seconds
Step-by-step explanation:
We are given;
Position of rock from ground level; h(t) = 9 m
Height of cliff;h_0 = 45 m
Velocity;v_0 = 22 m/s
To solve for the time, we will use the gravity formula which is;
h(t) = (-1/2)gt² + (v_0)t + h_0
Plugging in the relevant values to get;
9 = (-1/2)(9.81)t² + 22t + 45
Subtract 9 from both sides to get;
-4.905t² + 22t + 45 - 9 = 0
-4.905t² + 22t + 36 = 0
Finding the roots of the equation through quadratic formula gives;
t = 5.76 or -1.27
t cannot be negative, so we will use the positive value to get;
t = 5.76 s
Thus, the rock will be 9m from the ground level after 5.76 seconds
![3x^2 -42x + 9 = -5](https://tex.z-dn.net/?f=3x%5E2%20-42x%20%2B%209%20%3D%20-5)
Subtract 9 from both sides
![3x^2 -42x = -5 - 9](https://tex.z-dn.net/?f=3x%5E2%20-42x%20%20%3D%20-5%20-%209)
![3x^2 -42x = -14](https://tex.z-dn.net/?f=3x%5E2%20-42x%20%20%3D%20-14)
Divide by 3 through
![x^2 -14x = - \dfrac{14}{3}](https://tex.z-dn.net/?f=x%5E2%20-14x%20%20%3D%20-%20%5Cdfrac%7B14%7D%7B3%7D%20)
Add (b/2)^2 to form perfect square
![x^2 -14x + (\dfrac{14}{2})^2 = - \dfrac{14}{3} + (\dfrac{14}{2})^2](https://tex.z-dn.net/?f=x%5E2%20-14x%20%2B%20%20%28%5Cdfrac%7B14%7D%7B2%7D%29%5E2%20%20%3D%20-%20%5Cdfrac%7B14%7D%7B3%7D%20%2B%20%20%28%5Cdfrac%7B14%7D%7B2%7D%29%5E2%20%20)
Form perfect square
![(x -7)^2 = \dfrac{7}{3}](https://tex.z-dn.net/?f=%28x%20-7%29%5E2%20%20%3D%20%20%5Cdfrac%7B7%7D%7B3%7D)
square root both sides
![(x -7) = \pm \sqrt{\dfrac{7}{3}}](https://tex.z-dn.net/?f=%28x%20-7%29%20%3D%20%5Cpm%20%5Csqrt%7B%5Cdfrac%7B7%7D%7B3%7D%7D%20%20)
Add 7 to both sides
![x = \pm \sqrt{\dfrac{7}{3}} + 7](https://tex.z-dn.net/?f=x%20%20%3D%20%20%20%5Cpm%20%5Csqrt%7B%5Cdfrac%7B7%7D%7B3%7D%7D%20%20%2B%207)
Rewrite the answer into 2 different answers
![x = 7 + \sqrt{\dfrac{7}{3}} \ or \ 7 - \sqrt{\dfrac{7}{3}}](https://tex.z-dn.net/?f=x%20%20%3D%20%20%207%20%2B%20%20%5Csqrt%7B%5Cdfrac%7B7%7D%7B3%7D%7D%20%20%5C%20or%20%5C%20%207%20-%20%5Csqrt%7B%5Cdfrac%7B7%7D%7B3%7D%7D)
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