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:
Step-by-step explanation:
we know that
There are about 125,000 Brine shrimp in 1 pound
1 pound contains 96 teaspoons
so
There are about 125,000 Brine shrimp in 96 teaspoons
Using proportion
Find out how many teaspoons of brine shrimp represent 3000 Brine shrimp
Let
x -----> the number of teaspoons
Simplify
Convert to mixed number
5pi/4 is located in quadrant III.
In Q III, sin and cos are negative, tan is positive.
T-bar for 5pi/4 is pi/4.
sin and cos are - (sqrt 2)/2
Tan is 1
Answer:
$34.83
Step-by-step explanation:
First convert 3/4 to decimal form: 3/4 = 0.75
Create a proportion using similar rates:
$2.75 / 0.75 lb = x / 9.5 lb
where "x" represents the price of the 9.5 lbs of grapes we need to find.
Solve for x by multiplying both sides by 9.5 lb to isolate x completely
2.75 * 9.5 / 0.75 = x
Therefore x = $34.83
