Mathematics, 26.09.2019 08:30 NikkiZoeller

Misu sheet, owner of the bedspread shop, knows his customers will pay no more than $150 for a comforter. misu sheet wants to advertise the comforter as "percent markup on cost."

a. what is the equivalent rate of percent markup on cost compared to the 20% markup on selling price?

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Answer from: Quest

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function $y=f(x)$ the average rate of change from point $a(a,f(a))$ to point $b(b,f(b))$ can be calculated as

$\text{average rate of change}=\dfrac{f(b)-f(a)}{b-a}.$

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

$\text{average rate of change}=\dfrac{2-8}{10-2}=\dfrac{-6}{8}=-\dfrac{3}{4}.$

The graph below shows the number of houses sold over x days. what is the average rate of change from

Answer from: Quest

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

$4x^2-0x-9$

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

$4x^2-0x-9$

$=4x^2-6x+6x-9\\\\=2x(2x-3)+3(2x-3)\\\\=(2x+3)(2x-3)\\\\=(2x-3)(2x+3)$

therefore, the correct factorization of $4x^2-0x-9$ is (2x-3)(2x+3).

Answer from: Quest

Ok here we go ..there are plenty of ways to solve such math problems but we will go for the smartest and easiest ..5x+2y=7 -2x+6y=9we rearrange them into the following ..by multiplying the 1st equation by 2 it becomes 10x + 4y = 14we rearrange it and so it becomes 10x = 14 - 4yas for the second equation we multiply it by 5 and rearrange it so it becomes as to the following ..-10x + 30y = 45rearranging so 10x = 30y -45now 10x equals both 14 - 4y and 30y -45so 14 - 4y = 30y -4531 = 26yy= 31/26 = 1.19 or around 1.2so by now we can calculate x easily as -2x+6y=9so 2x = 6y -9 = 6 * 31/26 - 9 = -1.84 then x = - 0.92 or around -0.9best luck!

Answer from: Quest

there is only one way to arrange all the eight $b's$ relative to each other because they are not distinct. we have

$\underline{\ \ }b\underline{\ \ }b\underline{\ \ }b\underline{\ \ }b\underline{\ \ }b\underline{\ \ }b\underline{\ \ }b\underline{\ \ }b\underline{\ \ }$

now there are nine places to place an $a$ (and not more than one $a$ in one place). because we have four $a$ symbols, we need to choose four of these nine places to insert an $a$ . order does not matter because the $a$ are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

$1\cdot c(9,4) = \dfrac{9! }{4! (9-4)! } = \dfrac{9\cdot8\cdot7\cdot6\cdot5! }{4! 5! } = \dfrac{9\cdot8\cdot7\cdot6}{4\cdot3\cdot2\cdot1} = 126.$

thus there are 126 ways to form such "words."

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