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<u>Answer:</u>
The correct answer option is D. 
<u>Step-by-step-explanation:</u>
We are given the following two functions:
and

We are to find
so we will subtract the function g from function f, arrange the like terms together and combine them like shown below to get:



Therefore,
is equal to
so the correct answer option is D.
.
Answer: The required result is 15.
Step-by-step explanation: We are given to evaluate the following :
"6 choose 4".
Since we are to choose 4 from 6, so we have to use the combination of 6 different things chosen 4 at a time.
We know that
the formula for the combination of n different things chosen r at a time is given by

For the given situation, n = 6 and r = 4.
Therefore, we get

Thus, the required result is 15.
Answer:
Step-by-step explanation:
Given the expression
3x + 2 = 4x + 5
1. The smaller coefficient of x is 3
to remove the smaller coefficient
we need to add - 3x to both sides
3x +2 + (-3x) = 4x +5 (-3x)
3x + 2 - 3x = 4x + 5 - 3x
Collecting like terms we have
3x-3x+2= 4x-3x+5
2 = x+ 5
2. The constant on the right side is
5,to remove the constant from the right side of the equation we need to add - 5 to both sides
3x + 2+ (- 5) = 4x + 5 +(-5)
3x+ 2-5 =4x +5-5
3x-3 = 4x
Step-by-step explanation:
Given,
width = 9cm
so a/q length of the rectangle will be 19 - ( 9×3) = 19 - 27 = 8 cm
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