Answer:
Step-by-step explanation:
f(x) = x^2 + 4x + 4
f(x + a) = (x + a)^2 + 4(x + a) + 4
f(x + a) = x^2 + 2ax + a^2 + 4x + 4a + 4 Now combine like terms and use the distributive property.
f(x + a) = x^2 + (2a + 4)x + a^2 + 4a + 4
We are told that f(x + a) = x^2 - 6x + 9
So that means that
2a + 4 = - 6 Subtract 4 from both sides.
2a = - 6 - 4
2a = - 10 Divide by 2
a = - 10/2
a = - 5.
But you are not finished. You have to check the last part.
a^2 + 4x + 4 = 9
(a + 2)^2 = 9
Take the square root of both sides
sqrt(a+ 2)^2 = +/- 3
a+2 = 3
a = 1.
Does this work or is it extraneous? It is extraneous because it will not work for 2(a) + 4 = - 6
You get 6 = - 6 which is not correct. But you did give the second best answer.
a + 2 = - 3
a = - 3 - 2
a = - 5 which agrees with your previous answer.
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This is an extremely hard or tricky or sneaky problem. It takes a lot of conniving to get the right answer and 1 is not a left field answer. It just does not happen to be correct.
Answer:
4n +28
Step-by-step explanation:
Tommy's purchases add up to ...
4n +10 + 18 = 4n +28
Answer:
x=5
Step-by-step explanation:
2x=10
Divide each side by 2
2x/2 = 10/2
x = 5
This equation forms a linear line so the graph is going to be linear.
this equation in slope intercept form.
Answer:
x= 1/3
y = -8
Step-by-step explanation:
-2y+ y = 8 equation 1
-3x -y =7 equation 2
using equation 1 we have:
-2y+ y = 8
-y = 8
y = -8 equation 3
using equation 3 in equation 2 we have:
-3x -y=7
-3x -(-8)=7
-3x +8 =7
-3x = 7-8
-3x = -1
x= 1/3
