Answer:
The product results in:
, which agrees with answer A of the given choices.
Step-by-step explanation:
We need to apply distributive property for the product of two expressions each consisting of two terms, and also use the properties of products of radicals of the same root:

and now, we extract as many factors we can from the roots to reduce them:

Answer:
see below
Step-by-step explanation:
f(x) = –(x + 6)(x + 2)
The function is increasing until it reaches the vertex, so it will increase until x=-4. The function will decrease after the vertex, so after x = -4
increasing: -∞ < x < -4
decreasing : -4 < x < ∞
We are given to understand as per the problem that one must save 10% of their take home pay.
Reggie's take home pay is $2,340 per month
As per the rule Reggie must save 10% of 2,340 per month = 0.10*2,340 = $234 per month
Since we need to know the savings in a year, we have to multiply the monthly savings by 12 since there are 12 months a year
Minimum amount per year that he should save = $234 *12 = $2,808
Minimum amount per year that he should save = $2,808
so he's losing 4/10 of a Kg daily, how many times will that equal 3.2 Kgs? namely how many times does 4/10 go into 3.2?
well, let's firstly convert 3.2 to a fraction, and then divide.
![\bf \stackrel{\textit{1 decimal}}{3.\underline{2}}\implies \cfrac{32}{\underset{\textit{1 zero}}{1\underline{0}}}\implies \cfrac{16}{5} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7B1%20decimal%7D%7D%7B3.%5Cunderline%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B32%7D%7B%5Cunderset%7B%5Ctextit%7B1%20zero%7D%7D%7B1%5Cunderline%7B0%7D%7D%7D%5Cimplies%20%5Ccfrac%7B16%7D%7B5%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
![\bf \cfrac{16}{5}\div \cfrac{4}{10}\implies \cfrac{16}{5}\div \cfrac{2}{5}\implies \cfrac{\stackrel{8}{~~\begin{matrix} 16 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 8](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B16%7D%7B5%7D%5Cdiv%20%5Ccfrac%7B4%7D%7B10%7D%5Cimplies%20%5Ccfrac%7B16%7D%7B5%7D%5Cdiv%20%5Ccfrac%7B2%7D%7B5%7D%5Cimplies%20%5Ccfrac%7B%5Cstackrel%7B8%7D%7B~~%5Cbegin%7Bmatrix%7D%2016%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7D%7B~~%5Cbegin%7Bmatrix%7D%205%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%5Ccdot%20%5Ccfrac%7B~~%5Cbegin%7Bmatrix%7D%205%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7B~~%5Cbegin%7Bmatrix%7D%202%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%5Cimplies%208)