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.
<h3>
Answer: x + y = 2</h3>
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Work Shown:
y - 6 = -(x + 4)
y - 6 = -x - 4
y = -x - 4 + 6 ..... adding 6 to both sides
y = -x + 2
y + x = 2 .... adding x to both sides
x + y = 2
The equation is in standard form Ax+By = C, with A = 1, B = 1, and C = 2.
Every inch represents 2.5 feet
2.5 × 3 = 7.5
valarie's garden is 7.5 feet in width
2(3+5x) in the distributive form, would be 2(3)+2(5x)
