11 skirts since you can use 3/4 on each yard of 9. Then you get a remander of 2, 3/4! 9 + 2 is 11.
<span>The return for the investment is C, or 15.56%. You add the dividend and the capital gain, $4+$3=$7, and then divide by the initial investment price, or $45. 7/45=.1556, or 15.56%.</span>
1.) The interval of the value of x is from -5 to 1, inclusive. Remember that what is asked is the absolute value, thus the sign does not matter even if you have to subtract x from 5. Thus, the maximum value would be obtained if the x is smaller, which is 1. The minimum value is obtained when x=-5.
Absolute maximum value:
x = - 5f(-5) = ║5 - 7(-5)^2║ = ║-170║=
170Absolute minimum value:
x = 1f(1) = ║5 - 7(1)^2║ = ║-2║=
2
2.) The Mean Value Theorem (MVT) applies to functions that are continuous and differentiable on the closed and open interval of a to b, respectively. Since the function is a quadratic function, MVT can be applied. Then, this means that there is a value of c which is between a and b. This could be determined using this formula according to MVT:

The differentiated form would be f'(x) = -2x. Then,


Thus, x = -1, x = -1/2, and x=0 all lie in the function 4-x^2.
Alex finally had $(x+110) amount of money in his account i.e. He had $100 more then before!
<u>Step-by-step explanation:</u>
Alex wrote checks on Tuesday for $30 and $40. He also made a deposit in his checking account of $180. Let's solve it step by step :
<u>Alex wrote checks on Tuesday for $30 and $40:</u>
Let's suppose Alex initially had x amount of money out of which $30 & $40 is deducted! so left amount of money is $(x-70) .
<u>He also made a deposit in his checking account of $180:</u>
Out of left money $(x-70) , Alex deposited $180 in account so new money = $(x-70) + $180 = $(x+110)
Therefore, Alex finally had $(x+110) amount of money in his account i.e. He had $100 more then before!