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:
2x+4
Step-by-step explanation:
Distribute:
=(2)(x)+(2)(−6)+(2)(8)
=2x+−12+16
Combine Like Terms:
=2x+−12+16
=(2x)+(−12+16)
=2x+4
The rational numbers will best define- The height of an airplane as it descends to an airport runway.
This is because it includes fractions as well.
Irrational, integers, whole numbers cannot be used in this situation.
Answer:
Hi, there your answer is y=3x+4
Step-by-step explanation:
I did rise over run
Answer: 3
Step-by-step explanation:
Given :
343
We need to write 343 in index form of 7.
343 is the same as 
, replacing 343 with , we have
Recall one on the law of Logarithm :
can be written as c b
So, can be written as ;
3 7
Also from the laws of Logarithms , a = 1
so , Log_{7}[/tex] 7 = 1
The solution then becomes
3 x 1 = 3
Therefore :
343 = 3
