Answer:
32
Step-by-step explanation:
Step 1: Define
f(x) = 3x² - 5x - 4
g(x) = -4x - 12
Step 2: Find f(g(x))
f(g(x)) = 3(-4x - 12)² - 5(-4x - 12) - 4
f(g(x)) = 3(16x² + 96x + 144) + 20x + 60 + 4
f(g(x)) = 48x² + 288x + 432 + 20x + 64
f(g(x)) = 48x² + 308x + 496
Step 3: Find f(g(-4))
f(g(-4)) = 48(-4)² + 308(-4) + 496
f(g(-4)) = 48(16) - 1232 + 496
f(g(-4)) = 768 - 736
f(g(-4)) = 32
Answer:
A = 20.5 sq units
Step-by-step explanation:
you have the height of 5 but need to figure out the base
we can use the Pythagorean Theorem two times to find it
1) a² + 5² = 7²
a² = 49-25
a =
=
·
= 2
2) b² + 5² = 6²
b² = 36-25
b = 
Base = 2
+ 
A = 1/2 x 5· (2
+
)
A = 2.5 · (2
+
)
A = 2.5(8.2)
A = 20.5
8217 I think but I'm not sure
Answer:
Step-by-step explanation:
(a - b)² = a² + 2ab + b²
Area of square frame =side²
= (2b - 1)²
= (2b)² - 2*2b * 1 + 1²
= 4b² - 4b + 1
We want to know how many 1/8's are in 3/4, so we divide.

Flip the 2nd fraction and multiply:

Multiply the numerators and denominators together:

Divide: