Answer:
Step-by-step explanation:
<h3>Garden A</h3>
<u>Rectangle with sides</u>
- Width ⇒ 2x - 3 feet
- Length ⇒ 5(2x - 3) = 10x - 15
<u>Perimeter is</u>
- 2(w + l) = 2( 2x - 3 + 10x - 15) = 24x - 36
<h3>Garden B</h3>
<u>Triangle with sides</u>
<u>Perimeter is</u>
- 5x + 5 + 4x + 2 + 8x - 8 = 17x - 1
<h3>Statement 3</h3>
<u>The difference in perimeters is the difference is fencing:</u>
- 24x - 36 - (17x - 1) = 24x - 17x - 36 + 1 = 7x - 35
Since it is different from 7x - 37 the statement is FALSE
<h3>Statement 4</h3>
Garden A is surrounded by a path of 2.5 ft wide
It will have the perimeter added by 2.5*2*4 = 20 ft as each side is extended by 2*2.5 ft = 5ft
<u>So the perimeter is going to be:</u>
This statement is TRUE
Answer:
A total of 720 elk are likely to be infected
Step-by-step explanation:
we shall be using the proportion by survey to estimate the number of infections
From the survey 8 out of 50 are infected. Thus the likelihood of infection is 8/50
We have 4,500 elk to consider. The number of elk likely to be infected will be 8/50 * 4500 = 720
namely, how many times does 3/4 go into 3½? Let's firstly convert the mixed fraction to improper fraction.
![\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{2}\div \cfrac{3}{4}\implies \cfrac{7}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{\stackrel{2}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{3}\implies \cfrac{14}{3}\implies 4\frac{2}{3}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B3%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B7%7D%7B2%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B7%7D%7B2%7D%5Cdiv%20%5Ccfrac%7B3%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B7%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%5Ccdot%20%5Ccfrac%7B%5Cstackrel%7B2%7D%7B~~%5Cbegin%7Bmatrix%7D%204%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7D%7B3%7D%5Cimplies%20%5Ccfrac%7B14%7D%7B3%7D%5Cimplies%204%5Cfrac%7B2%7D%7B3%7D)
The answer is A. one of the zeros is x = -1