Answer:
![\textsf{Length}=0.8x^2-0.7x+0.7\quad \sf units](https://tex.z-dn.net/?f=%5Ctextsf%7BLength%7D%3D0.8x%5E2-0.7x%2B0.7%5Cquad%20%5Csf%20units)
Step-by-step explanation:
Area of a rectangle = width × length
Therefore, to find the length of the rectangle, we need to divide the area by the width.
Using long division:
![\large\begin{array}{r}0.8x^2-0.7x+0.7\phantom{)} \\x+0.5{\overline{\smash{\big)}\,0.8x^3-0.3x^2+0.35x+0.35\phantom{)}}}\\-~\phantom{(}\underline{(0.8x^3+0.4x^2)\phantom{-b))))))))))))))}}\\0-0.7x^2+0.35x+0.35\phantom{)}\\ \underline{-~\phantom{()}(-0.7x^2-0.35x)\phantom{-b)))))}}\\ 0.7x+0.35\phantom{)}\\\underline{-~\phantom{()}(0.7x-0.35)}\\ 0\phantom{)}\end{array}](https://tex.z-dn.net/?f=%5Clarge%5Cbegin%7Barray%7D%7Br%7D0.8x%5E2-0.7x%2B0.7%5Cphantom%7B%29%7D%20%5C%5Cx%2B0.5%7B%5Coverline%7B%5Csmash%7B%5Cbig%29%7D%5C%2C0.8x%5E3-0.3x%5E2%2B0.35x%2B0.35%5Cphantom%7B%29%7D%7D%7D%5C%5C-~%5Cphantom%7B%28%7D%5Cunderline%7B%280.8x%5E3%2B0.4x%5E2%29%5Cphantom%7B-b%29%29%29%29%29%29%29%29%29%29%29%29%29%29%7D%7D%5C%5C0-0.7x%5E2%2B0.35x%2B0.35%5Cphantom%7B%29%7D%5C%5C%20%5Cunderline%7B-~%5Cphantom%7B%28%29%7D%28-0.7x%5E2-0.35x%29%5Cphantom%7B-b%29%29%29%29%29%7D%7D%5C%5C%200.7x%2B0.35%5Cphantom%7B%29%7D%5C%5C%5Cunderline%7B-~%5Cphantom%7B%28%29%7D%280.7x-0.35%29%7D%5C%5C%200%5Cphantom%7B%29%7D%5Cend%7Barray%7D)
Therefore, the <u>length</u> of the rectangle is:
![0.8x^2-0.7x+0.7](https://tex.z-dn.net/?f=0.8x%5E2-0.7x%2B0.7)
I think B i am not 100 sure
Answer:
(a)The amount of fuel in dollars = $1.62
(b)The rate equivalent to in U.S. dollars per gallon = $ 1.45
Step-by-step explanation:
Reid will be driving through Spain this summer. He did some research and knows that the average price of gas in Spain is approximately 1.12 euros per liter.
1 USD = 0.69 euros
We have to find the money that we should pay in order to get the same amount of fuel.
1 euro = ![\frac{1}{0.69}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B0.69%7D)
1 euro = $1.45
So 1.12 euros = 1.12
1.45 = $1.62
(a)The amount of fuel in dollars = $1.62
(b)The rate equivalent to in U.S. dollars per gallon = $ 1.45
2.1 is already in a decimal form.
Hope I helped!
Answer:
![\boxed{\bold{x>3}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cbold%7Bx%3E3%7D%7D)
Step By Step Explanation:
Subtract 2 From Both Sides
![\bold{7x+2-2](https://tex.z-dn.net/?f=%5Cbold%7B7x%2B2-2%3C9x-4-2%7D)
Simplify
![\bold{7x](https://tex.z-dn.net/?f=%5Cbold%7B7x%3C9x-6%7D)
Subtract 9x From Both Sides
![\bold{7x-9x](https://tex.z-dn.net/?f=%5Cbold%7B7x-9x%3C9x-6-9x%7D)
Simplify
![\bold{-2x](https://tex.z-dn.net/?f=%5Cbold%7B-2x%3C-6%7D)
Multiply Both Sides By -1 (Reverse Inequality)
![\bold{\left(-2x\right)\left(-1\right)>\left(-6\right)\left(-1\right)}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cleft%28-2x%5Cright%29%5Cleft%28-1%5Cright%29%3E%5Cleft%28-6%5Cright%29%5Cleft%28-1%5Cright%29%7D)
Simplify
![\bold{2x>6}](https://tex.z-dn.net/?f=%5Cbold%7B2x%3E6%7D)
Divide Both Sides By 2
![\bold{\frac{2x}{2}>\frac{6}{2}}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cfrac%7B2x%7D%7B2%7D%3E%5Cfrac%7B6%7D%7B2%7D%7D)
Simplify
![\bold{x>3}](https://tex.z-dn.net/?f=%5Cbold%7Bx%3E3%7D)
- Mordancy