Answer:
![\frac{WR}{v^2} =t](https://tex.z-dn.net/?f=%5Cfrac%7BWR%7D%7Bv%5E2%7D%20%3Dt)
Step-by-step explanation:
![W = \frac{v^2t}{R}\\\\W\cdot R = v^2t\\\\\frac{WR}{v^2} =t](https://tex.z-dn.net/?f=W%20%3D%20%5Cfrac%7Bv%5E2t%7D%7BR%7D%5C%5C%5C%5CW%5Ccdot%20R%20%3D%20v%5E2t%5C%5C%5C%5C%5Cfrac%7BWR%7D%7Bv%5E2%7D%20%3Dt)
The rent for one movie is $4.50 and rent for one video game is $5.50
Step-by-step explanation:
Let,
Rent for one movie = x
Rent for one video game = y
According to given statement;
12x+2y=65 Eqn 1
3x+5y=41 Eqn 2
Multiplying Eqn 2 by 4
![4(3x+5y=41)\\12x+20y=164\ \ \ \ Eqn\ 3](https://tex.z-dn.net/?f=4%283x%2B5y%3D41%29%5C%5C12x%2B20y%3D164%5C%20%5C%20%5C%20%5C%20Eqn%5C%203)
Subtracting Eqn 1 from Eqn 3
![(12x+20y)-(12x+2y)=164-65\\12x+20y-12x-2y=99\\18y=99\\](https://tex.z-dn.net/?f=%2812x%2B20y%29-%2812x%2B2y%29%3D164-65%5C%5C12x%2B20y-12x-2y%3D99%5C%5C18y%3D99%5C%5C)
Dividing both sides by 18
![\frac{18y}{18}=\frac{99}{18}\\y=5.50](https://tex.z-dn.net/?f=%5Cfrac%7B18y%7D%7B18%7D%3D%5Cfrac%7B99%7D%7B18%7D%5C%5Cy%3D5.50)
Putting y=5.50 in Eqn 2
![3x+5(5.50)=41\\3x+27.50=41\\3x=41-27.50\\3x=13.50](https://tex.z-dn.net/?f=3x%2B5%285.50%29%3D41%5C%5C3x%2B27.50%3D41%5C%5C3x%3D41-27.50%5C%5C3x%3D13.50)
Dividing both sides by 3
![\frac{3x}{3}=\frac{13.50}{3}\\x=4.50](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7B3%7D%3D%5Cfrac%7B13.50%7D%7B3%7D%5C%5Cx%3D4.50)
The rent for one movie is $4.50 and rent for one video game is $5.50
Keywords: linear equation, elimination method
Learn more about linear equations at:
#LearnwithBrainly
Answer:
I think it is 11
Step-by-step explanation:
Answer:
<u>(1-sinA) * Sin²A</u>
(1+cosA) * Cos²A
<u>(1-sinA) * (1-Cos²A)</u>
(1+cosA) * (1-Sin²A)
<u>(1-sinA) * (1-CosA)(1+CosA)</u>
(1+cosA) * (1-SinA) (1+SinA)
<u>(1-CosA)</u>
(1+SinA)
proved
Answer:
<em>f(x) = 2(x + 2)(x - 3)(x - 4) or</em>
<em>f(x) = 2x^3 - 10x^2 - 4x + 48</em>
Step-by-step explanation:
If a cubic function has zeros a, b, c, then its equation is
f(x) = k(x - a)(x - b)(x c)
f(x) = k(x - (-2))(x - 3)(x - 4)
f(x) = k(x + 2)(x - 3)(x - 4)
f(5) = k(5 + 2)(5 - 3)(5 - 4)
f(5) = k(7)(2)(1)
f(5) = 14k
We are told f(5) = 28, so we set 14 equal to 28 and solve for k.
14k = 28
k = 2
f(x) = 2(x + 2)(x - 3)(x - 4)
f(x) = 2x^3 - 10x^2 - 4x + 48