Answer:
Step-by-step explanation:
<u>Solving by completing square</u>
- -14 + x^2 = 5x
- x^2 - 5x - 14 = 0
- x^2 -2*2.5x + 6.25 - 20.25 = 0
- (x -2.5)^2 = 20.25
- (x - 2.5)^2 = 4.5^2
- x - 2.5 = 4.5 ⇒ x = 7
- x - 2.5 = -4.5 ⇒ x = -2
Answer:
Step-by-step explanation:the answer is 3 ft
To solve, isolate the x. Cross multiply
3/13(13)(5) = x/5(5)(13)
3(5) = (13)x
Simplify
13x = 15
Isolate the x. Divide by 13.
13x/13 = 15/13
x = 15/13
x = 1.2
1.2 is your answer
hope this helps
Answer:
f(g(x)) = -9(sqrt(x + 1) ) + 9
-36
Step-by-step explanation:
This is easier to see if you use the expanded notation.
f(g(x)) = ?
But what that means is that the left most function is f(x) and where every you see an x, you put in a g(x) like so
f(g(x)) = -9(g(x)) + 9 Now substitute the right side of g(x) into the equation for f(x)
f(g(x)) = -9(sqrt(x + 1) ) + 9
Edit to get the numerical answer.
This should be your answer or the expression that will give you the answer.
f(g(24)) = -9(sqrt(24+1) ) + 9
f(g(24)) = -9sqrt(25) +9
f(g(24)) = - 9*5 + 9
f(g(24)) = - 45 + 9
f(g(24)) = - 36