Use the formula
x
=
−
b
2
a
x
=
-
b
2
a
to find the maximum and minimum.
(
−
3
4
,
41
8
)
Answer:
B
Step-by-step explanation:
The answer is b because the domain of anything is always x or on the x axis .
Answer: 200cm
Step-by-step explanation:
The center Planck is a square of length 8cm.
The 4 next planks are of 16 cm each
And the next 4 Planks are of 32 cm each.
8 + 4(8×2) + 4(8×4)
8 + 4(16) + 4(32)
8 + 64 + 128
200 cm
Length of the original plank is 200cm
Ew. Composition of functions. Ok, f(g(x)) is what that fancy notation means. So, you would take g(x) & substitute that into wherever x is in f(x).
So we get something crazy like
f(x)= 4 - (.5x - 2)^2
Now, we foil out the squared quantity:
f(x)= 4 - (.25x^2 - x - x + 4)
Can you believe they call that simplification?
f(x)= 4 - .25x^2 + 2x -4
Almost there...
f(x)= -.25x^2 + 2x
Hope this helps!
You can multiply the second equation by -2
-5x + y = 15 everything by -2
10x - 2y = -30
now you can solve them
2x + 2y = -6
10x - 2y = -30
y cancels
2x= -6
10x = -30
12x = -36
/12. /12
x = -3
now to solve for y you substitute x for -3
-5(-3) + y = 15
15 + y = 15
-15 -15
y= 0