Answer:
4
Step-by-step explanation:
Start by multiplying both sides by 4.

Next, combine like terms.

Answer: x = 8
Step-by-step explanation:
9 ( x - 3 ) = 45
distribute 9
9x - 27 = 45
combine constants
9x = 45 + 27
compute 45 + 27
9x = 72
divide both by 9
9x/9 = 72/9
final answer
x = 8
Answer: D. 96
Step-by-step explanation:
1/2 (82 + 110)
1/2 (192) = 96
Answer:
see below
Step-by-step explanation:
f(x) = 4x^2 + 8x − 5
To find the x intercepts set y = 0
0 =4x^2 + 8x − 5
Factor
0=(2x-1)(2x+5)
Using the zero product property
2x-1 =0 2x+5 =0
2x=1 2x = -5
x = 1/2 x = -5/2
The x intercepts are ( 1/2 ,0) and ( -5/2,0)
Rewriting in vertex form by completing the square
4 ( x^2 + 2x) -5
4 ( x^2+2x +1) -4*1 -5
4 ( x+1) ^2 -9
Vertex form is
a( x-h) ^2 +k where ( h,k) is the vertex
The vertex is ( -1,-9)
We know it opens upwards since a > 0
Plot the vertex and the x intercepts
The graph is symmetric on based on the vertex
Answer:

Step-by-step explanation:
Research the cons and pros of the sun's powerful radiation waves.
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