Answer:
which agrees with option A in the list of possible answers
Step-by-step explanation:
A vertical compression by a factor 9 is represented by the transformation:
Therefore the answer to the problem is:
The derivative of f(x) at x=3 is 2x=6 approaching from the left side (apply power rule to y=x^2). The derivative of f(x) at x=3 is m approaching from the right side. In order for the function to be differentiable, the limit of derivative at x=3 must be the same approaching from both sides, so m=6. Then, x^2=mx+b at x=3, plug in m=6, 9=18+b, so b=-9.
Step-by-step explanation:
Length = L
Width = W
L=8 more than 2W
L = 8 * 2W
L = 16W
Perimeter = 96
perimeter is the lengths of all sides added together
so
2L + 2W = 96
we have
L = 16W
2L + 2W = 96
let's do substitution
put what L = into 2L + 2W = 96
so
2(16W) + 2W = 96
can you rearrange that to get w
put answer in comment
Taking into account the definition of percentage, the correct option is: 21 percent of her net pay is left for savings.
First of all, the percentage represents a given quantity that establishes relationships between two quantities, using the number 100 as a reference.
That is, the percentage indicates what part of a total represents a quantity.
To obtain the percentage, the division must be made between the portion of the total and the total amount that belongs to the set, whose result is multiplied by 100.
In this case, if Lillie's current monthly net pay and her monthly expenses are $ 387.10, and I assume that the rest of the money is saved by Lillie, then the amount of money saved is $ 490 - $ 387.10 = $ 102.9.
Then:
- portion of the total= amount of money saved= $102.9
- total amount= Lillie's current monthly net pay= $490
So, the percentage is calculated as:
percentage= (102.9÷490) ×100
percentage= 0.21×100
percentage= 21%
The correct option is: 21 percent of her net pay is left for savings.
Learn more about percentage with this examples:
