When you write that equation, you get 3x^2+6=81.
Solving for x:
Subtract by 6 on both sides of the equation to get 3x^2=75.
Then, divide by 3 on both sides of the equation to get x^2=25.
Finally, do the square root on both sides of the equation to get x=5.
The number is 5.
Answer:
1/2x
Step-by-step explanation:
You find the slope by looking at two points close to each other on the line, then counting how many units up and over it is to the second point. in this case, I picked the point (-2, 0) and (1, 0). From one point to the other, it's up one, over 2.
<h3>
Answer: 36</h3>
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Explanation:
f(x) = -x+9
f(0) = -0+9 .... replace x with 0
f(0) = 9
We will replace f(0) with 9 in the g(x) function. In other words, we plug in x = 9 into the g(x) function
This is because g( f(0) ) = g( 9 )
g(x) = x^2 - 6x + 9
g(9) = 9^2 - 6*9 + 9 ... replace x with 9
g(9) = 81 - 54 + 9
g(9) = 36
Therefore, g(f(0)) = g(9) = 36 or simply g(f(0)) = 36
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Another method is to compute g(f(x)) algebraically first
g(x) = x^2 - 6x + 9
g(f(x)) = ( f(x) )^2 - 6*( f(x) ) + 9 .... replace every x with f(x)
g(f(x)) = ( -x+9 )^2 - 6*( -x+9 ) + 9 .... replace f(x) with -x+9
g(f(x)) = x^2 - 18x + 81 + 6x - 54 + 9
g(f(x)) = x^2 - 12x + 36
then we plug in x = 0
g(f(x)) = x^2 - 12x + 36
g(f(0)) = 0^2 - 12*0 + 36 ... replace x with 0
g(f(0)) = 36
