The first step in solving for f(g(x)) when x=3, is solve for g(x). The answer of g(x) when x is equal to 3 is -(5) multiplied by 3 add by 2. Therefore, g(x) is -13. Then substitute the value of g(x) to f(x). The answer of f(-13) is 2 multiplied by -13, then add 1. So, the final answer is, f(x)=-25.
Answer:
weeks or
weeks
Step-by-step explanation:
To do this we can set up a proportion

This will tell us how many weeks are in 2/5 of a year
Let's evaluate this
We cannot simplifiy this anymore, so we will leave it as an improper fraction, or a mixed number as shown below
weeks
Answer:
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Step-by-step explanation:
Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (2, 1)
m =
=
= - 1
Answer:
See explanation
Step-by-step explanation:
Assuming the given inequality is 
Then the corresponding linear equation is 
When x=0, we have 

When y=0, we have 

The T-table is:
<u>x | y</u>
0 | 4
6 | 12
We plot this points and draw a solid straight line as shown in the attachment.
Now let us test the origin: (0,0) by plugging x=0 and y=0 into the inequality.

....This is true so we shade the lower half plane as shown in the attachment.