Answer:
see below the first three problems
Step-by-step explanation:
f(g(-2))
First, find g(-2) using function g(x). Then use that value as input for function f(x).
g(x) = -2x + 1
g(-2) = -2(-2) + 1
g(-2) = 5
f(x) = 5x
f(5) = 5(5)
f(5) = 25
f(g(-2)) = 25
g(h(3))
First, find h(3) using function h(x). Then use that value as input for function g(x).
h(x) = x^2 + 6x + 8
h(3) = 3^2 + 6(3) + 8 = 9 + 18 + 8
h(3) = 35
g(x) = -2x + 1
g(35) = -2(35) + 1 = -70 + 1
g(35) = -69
g(h(3)) = -69
f(g(3a))
First, find g(3a) using function g(x). Then use that value as input for function f(x).
g(x) = -2x + 1
g(3a) = -2(3a) + 1
g(3a) = -6a + 1
f(x) = 5x
f(-6a + 1) = 5(-6a + 1)
f(-6a + 1) = -30a + 5
f(g(3a)) = -30a + 5
Answer:
1.4375
Step-by-step explanation:
= 
<span>A) 3x+4y=17
B) -4x-3y=-18 Multiplying B) by .75
</span><span>B) -3x -2.25y= -13.5 then adding this to A
</span><span><span>A) 3x + 4y = 17</span>
1.75y = 3.5
y = 2
</span><span>
A) 3x + 4*2 = 17</span>
3x + 8 = 17
3x = 9
x = 3
(3,2)
Answer:
They will work together and print 200 T-shirts in 37.5 minutes.
Step-by-step explanation:
One machine can print 200 T-shirts in 50 minutes.
So, in one minute that machine can print 
T-shirts.
Again, the other machine can print 200 T-shirts in 150 minutes.
So, in one minute the other machine can print 
T-shirts.
Therefore, working together for one minute both the machines will print (4 + 1.33) = 5.33 number of T-shirts.
Hence, they will work together and print 200 T-shirts in 
minutes. (Answer)
