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:
x = 0 and x = 1
Step-by-step explanation:
From the table of values
f(x) = g(x) = 1 when x = 0 , and
f(x) = g(x) = 0.25 when x = 1
The solution to f(x) = g(x) are x = 0 and x = 1
Answer:
Use the property of condensation of logarithmic function
Given,
4 pound of oats twice a day= 8 pounds of oats each day per horse. He has 4 horses so 4 horses times 8 pounds of oats is 32. You multiply 32 pounds times the three days he has to feed which is 96 pounds.
The formula for volume is V=LWH
So in this example we have 10.4*5*8
So 8*5=40
40*10.4=416
So the volume is 416 cubic mm
Hope that helped
