What is 5×20+2raised to the power 2
1 answer:
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Answer:
x = 5
Step-by-step explanation:
<u>Step 1: Multiply out the brackets</u>
48x - 80 - 40x + 80 = 40 → <em>negative + negative = positive [-10 x -8]</em>
<u>Step 2: Simplify</u>
8x = 40 →<em> collect like terms</em>
<u>Step 3: Solve</u>
x =
x = 5
Answer:
see below
Step-by-step explanation:
f(x) = −16x^2 + 24x + 16
Set equal to zero to find the x intercepts
0 = −16x^2 + 24x + 16
Factor out -8
0 = -8(2x^2 -3x-2)
Factor
0 = -8(2x +1) (x-2)
Using the zero product property
2x+1 =0 x-2 =0
x = -1/2 x=2
The x intercepts are -1/2 ,2
Since the coefficient of x^2 is negative the graph will open down and the vertex will be a maximum
The x value of the maximum is 1/2 way between the zeros
(-1/2+2) /2 = 1.5/2 =.75
To find the y value substitute into the function
f(.75) = -8(2x +1) (x-2)
=-8(2*.75+1) (.75-2)
= -8(2.5)(-1.25)
=25
The vertex is at (.75, 25)
We have the zeros, and the vertex. We know the graph is symmetrical about the vertex
