Answer:
9x² -5
Step-by-step explanation:
(f○g)(x) means f(g(x))
Put the definition of g(x) in place of x in the definition of f(x):
f(g(x)) = f(x²) = 9(x²) - 5
(f○g)(x) = 9x² - 5
Step-by-step explanation:
y = -3x² + mx + 10
dy/dx = -6x + m.
When dy/dx = 0, -6x + m = 0. => x = m/6.
We have y = -3(m/6)² + m(m/6) + 10 = 37.
=> -m²/12 + m²/6 = 27
=> -m² + 2m² = 324
=> m² = 324
=> m = 18 or m = -18.
45²
This says "forty five squared"
Try saying it aloud, it may help to hear it :)
This basically just means to multiply 45 by itself twice.
So, what's 45 times 45?
Its 2025!
Hope I helped! :)
Answer:
Step-by-step explanation:
The goal to solving any equation is to have x = {something}. That means we need to get the x out from underneath that radical. It's a square root, so we can "undo" it by squaring. Square both sides because this is an equation. Squaring both sides gives you

Get everything on one side of the equals sign and set the quadratic equal to 0:

Throw this into the quadratic formula to get that the solutions are x = 5 and -8. We need to see if only one works, both work, or neither work in the original equation.
Does
?
and

and 5 = 5. So 5 works. Let's try -8 now:
and
so

-8 = 8? No it doesn't. So only 5 works. Your choice is the third one down.
If xy=0 we assume x and y equal 0
so
the zeros are wehre f(x)=0
0=5(2x-5)(5x+4)
set each to zero
5 is not equal 0 so we don't do that
0=2x-5
5=2x
5/2=x
0=5x+4
-4=5x
-4/5=x
zeroes at x=5/2 and -4/5