Answer:
a.) 10 months
b.) Kool Karate
c.) Karate Klub
Step-by-step explanation:
Karate Klub : y=25x+200
Kool Karate : y=35x+100
A.) First, set the equations equal to each other then solve for x. ![A.) 25x+200=35x+100\\\\](https://tex.z-dn.net/?f=A.%29%2025x%2B200%3D35x%2B100%5C%5C%5C%5C)
take away 100 from both sides
![25x+100=35x](https://tex.z-dn.net/?f=25x%2B100%3D35x)
take away 25x from both sides
![100=10x](https://tex.z-dn.net/?f=100%3D10x)
divide 10 from both sides so x can be by itself and equal to 1
![10=x](https://tex.z-dn.net/?f=10%3Dx)
This means that at 10 months, the cost is the same for both.
B.) Substitute 6 for x in both equations
Karate Klub : ![y=25(6)+200\\y=350](https://tex.z-dn.net/?f=y%3D25%286%29%2B200%5C%5Cy%3D350)
Kool Karate :![y=35(6)+100\\y=310](https://tex.z-dn.net/?f=y%3D35%286%29%2B100%5C%5Cy%3D310)
The cost for Kool Karate is cheaper, so that is what he should join.
C.) Substitute 12 for x in both equations.
x=12 because there are 12 months in a year.
Karate Klub:![y= 25(12)+200\\y=500](https://tex.z-dn.net/?f=y%3D%2025%2812%29%2B200%5C%5Cy%3D500)
Kool Karate:![y=35(12)+100\\y=520](https://tex.z-dn.net/?f=y%3D35%2812%29%2B100%5C%5Cy%3D520)
The cost for Karate Klub is cheaper, so that is what he should join.
Answer:
3x−6=x+4
Step 1: Subtract x from both sides.
3x−6−x=x+4−x
2x−6=4
Step 2: Add 6 to both sides.
2x−6+6=4+6
2x=10
Step 3: Divide both sides by 2.
2x2=102
x=5
Answer:
The initial height of the base ball based on the equation for the height of the base ball,
is 3 ft
Step-by-step explanation:
For clarity, if we put the equation of the height of the base ball as
![h = -16t^2 + 32t + 3](https://tex.z-dn.net/?f=h%20%3D%20-16t%5E2%20%2B%2032t%20%2B%203)
Then the initial height of the base ball will be at the point t = 0
That is
or
h = 3 ft
The initial height of the base ball based on the equation for the height of the base ball,
is then = 3 ft.
Answer:
H(t) = -4.9t^2 + 25t + 2
Step-by-step explanation:
Height is a function of time
plug in 0, 1,2,3,4, and 5 to find the height at 0, 1,2,3,4, and 5 seconds.
at t = 0
H(0) = -4.9(0)^2+25(0) + 2 = 2 meters
Repeat for T=1,2,3,4 and 5
Notice the ball peaks around t = 3 seconds and starts to descend.
H(1) = (-4.9)(1^2) + 25(1) + 2 = 22.1 meters
H(2) = (-4.9)(2^2)+25(2)+2=32.4 meters
H(3) = 32.9 meters
H(4) = 23.6 meters
H(5) = 4.5 meters
Step-by-step explanation:
standard form is given by Ax × By = C
hence the answer would be
5x + 8y = 24
comment if you still have any doubts :)