Hello!
We'll start by simplifying the required formula. (f – g)(x) can be rewritten as the following:
f(x) – g(x)
Now insert any known values into the simplified formula above:
(-5x – 4) – (-3x – 2)
Eliminate the parentheses by simplifying:
-5x – 4 + 3x + 2
Combine like terms:
-2x – 2
We have now proven that (f – g)(x) is equal to (-2x – 2).
The correct answer is C.
I hope this helps!
Answer:0
Step-by-step explanation:
(8 - 2) - 6
6-6
6-6
0
The probability that you will wait for at most 5 seconds is 6.7%
<h3>How to determine the probability?</h3>
The given parameters are:
Green = 40
Yellow = 5
Red = 30
When you spend a maximum of 5 seconds, it means that you get to the traffic light at the yellow cycle.
The probability is then calculated as:
P(Yellow) = 5/(40 + 5 + 30)
Evaluate
P(Yellow) = 6.7%
Hence, the probability that you will wait for at most 5 seconds is 6.7%
Read more about probability at:
brainly.com/question/15246027
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In this case we have an ARM fixed for 6 years and adjust after the initial first 6 years every 2 years after. The basic idea behind a ARM is that the interest changes periodically, but since our ARM is fixed for 6 years, our going to calculate the monthly payment during the initial period using the formula:

where

is the monthly payment

is the amount

is the interest rate in decimal form

is the number years
First we need to convert our interest rate of 4% to decimal form by dividing it by 100%:

We also know from our question that

and

, so lets replace those values into our formula to find the monthly payment:


We can conclude that the monthly payment during the initial period is $1071.58<span />
In this item, it is unfortunate that a figure, drawing, or illustration is not given. To be able to answer this, it is assumed that these segments are collinear. Points L, M, and N are collinear, and that L lies between MN.
The length of the whole segment MN is the sum of the length of the subsegments, LN and LM. This can be mathematically expressed,
LN + LM = MN
We are given with the lengths of the smalller segments and substituting the known values,
MN = 54 + 31
MN = 85
<em>ANSWER: MN = 85</em>