Answer:
Step-by-step explanation: This is the quadratic function:
h(x)=ax²+bx+c
We have two points:
(1,58)
(2,112)
Now, we calculate this quadratic funtion.
we assume that h(0)=0
Therefore:
a(0)²+b(0)+c=0
c=0
(1,58)
a(1)²+b(1)=58
a+b=58 (1)
(2,112)
a(2)²+b(2)=112
4a+2b=112
2a+b=56 (1)
With the equations (1) and (2) we make a system of equations:
a+b=58
2a+b=56
we can solve this system of equations by reduction method.
-(a+b=58)
2a+b=56
---------------------
a=-2
-2(a+b=58)
2a+b=56
-------------------
-b=-60 ⇒ b=60
The function is:
h(x)=ax²+bx+c
h(x)=-2x²+60x
Now find the height, in feet, of the rock after 10 seconds in the air.
h(10)=-2(10)²+60(10)
h(10)=-200+600=400
Answer: 400 ft.
Answer:
Each Jean cost $22.99
Step-by-step explanation:
First you would subtract the cost of the shirt from the total.
108.95-16.99=91.96
Then you would divide the 91.96 by 4 to get the cost for each Jean.
91.96/4=22.99
j=$22.99
Answer/Step-by-step explanation:
84 = L x w
84 = 84 x 1
84 = 42 x 2
84 = 28 x 3
84 = 21 x 4
84 = 14 x 6
84 = 12 x 7
6x - 6 - 7x = -13/2
Multiply both sides by 2:
12x - 12 - 14x = -13
Simplify:
-2x - 12 = -13
Add 12 to both sides:
-2x = -1
Divide both sides by 2:
-x = -1
Change to a positive value of x:
x = 1
