Answer:
<u>Step-by-step explanation:</u>
Move all of the x's to one side and everything else on the other.
ax = bx + c
ax - bx = c <em>subtracted bx from both sides</em>
x(a - b) = c <em>factored out the like term of "x" on left side</em>
<em>divided both sides by (a- b)</em>
2x = x + 7 → a = 2, b = 1, c = 7
x = 7
<u>Check:</u>
2x = x + 7
<u>-x </u> <u>-x </u>
x = 7
I’m sorry but I’m confused if we ignore the answers circled then there is only one answer left but also explain what is wrong?
The answer is A because all the other answers don’t use the cooperative denominators
Answer:
f(g(9)) = 945/16
Step-by-step explanation:
To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).
g(x) = x + 3/4
f(x) = x² - 4x - 3
f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3
f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3
f(g(x)) = x² - 5/2x + 9/16 + 3 - 3
f(g(x)) = x² - 5/2x + 9/16
Now, put a 9 wherever there is an x in f(g(x)).
f(g(9)) = (9)² - 5/2(9) + 9/16
f(g(9)) = 81 - 5/2(9) + 9/16
f(g(9)) = 81 - 45/2 + 9/16
f(g(9)) = 117/2 + 9/16
f(g(9)) = 945/16