Answer:
12
Step-by-step explanation:
Simplify \frac{4}{5}G
5
4
G to \frac{4G}{5}
5
4G
.
\frac{4G}{5}+42=2.8G+18
5
4G
+42=2.8G+18
Multiply both sides by 5.
4g + 210 = 14g + 90
Simplify
14G + 90 - 4G to 10G + 90
Subtract 90 from both sides.
210-90=10G210−90=10G
Simplify 210-90210−90 to 120120.
120=10G120=10G
Divide both sides by 1010.
\frac{120}{10}=G
10
120
=G
Simplify \frac{120}{10}
10
120
to 1212.
12=G12=G
Switch sides.
G=12G=12
SORRY ABOUT ALL THIS WORK...
Answer:
the circumference is 31.4159 (or 31.42)
<em><u>Option A</u></em>
<em><u>The solution is:</u></em>
![x = \pm 2i \sqrt{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cpm%202i%20%5Csqrt%7B2%7D)
<em><u>Solution:</u></em>
![f(x) = 19x^2+152](https://tex.z-dn.net/?f=f%28x%29%20%3D%2019x%5E2%2B152)
We have to solve the equation f(x) = 0
Let f(x) = 0
![0=19x^2+152](https://tex.z-dn.net/?f=0%3D19x%5E2%2B152)
Solve the above equation
![19x^2 + 152 = 0](https://tex.z-dn.net/?f=19x%5E2%20%2B%20152%20%3D%200)
![\mathrm{Subtract\:}152\mathrm{\:from\:both\:sides}\\\\19x^2+152-152=0-152\\\\Simplify\ the\ above\ equation\\\\19x^2 = -152\\\\\mathrm{Divide\:both\:sides\:by\:}19\\\\\frac{19x^2}{19} = \frac{-152}{19}\\\\x^2 = -8](https://tex.z-dn.net/?f=%5Cmathrm%7BSubtract%5C%3A%7D152%5Cmathrm%7B%5C%3Afrom%5C%3Aboth%5C%3Asides%7D%5C%5C%5C%5C19x%5E2%2B152-152%3D0-152%5C%5C%5C%5CSimplify%5C%20the%5C%20above%5C%20equation%5C%5C%5C%5C19x%5E2%20%3D%20-152%5C%5C%5C%5C%5Cmathrm%7BDivide%5C%3Aboth%5C%3Asides%5C%3Aby%5C%3A%7D19%5C%5C%5C%5C%5Cfrac%7B19x%5E2%7D%7B19%7D%20%3D%20%5Cfrac%7B-152%7D%7B19%7D%5C%5C%5C%5Cx%5E2%20%3D%20-8)
Take square root on both sides
![x = \pm \sqrt{-8}\\\\x = \pm \sqrt{-1}\sqrt{8}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\x = \pm i\sqrt{8}\\\\x = \pm i \sqrt{2 \times 2 \times 2}\\\\x = \pm 2i\sqrt{2}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cpm%20%5Csqrt%7B-8%7D%5C%5C%5C%5Cx%20%3D%20%5Cpm%20%5Csqrt%7B-1%7D%5Csqrt%7B8%7D%5C%5C%5C%5C%5Cmathrm%7BApply%5C%3Aimaginary%5C%3Anumber%5C%3Arule%7D%3A%5Cquad%20%5Csqrt%7B-1%7D%3Di%5C%5C%5C%5Cx%20%3D%20%5Cpm%20i%5Csqrt%7B8%7D%5C%5C%5C%5Cx%20%3D%20%5Cpm%20i%20%5Csqrt%7B2%20%5Ctimes%202%20%5Ctimes%202%7D%5C%5C%5C%5Cx%20%3D%20%5Cpm%202i%5Csqrt%7B2%7D)
Thus the solution is found
9514 1404 393
Answer:
- slope: cost per mile
- y-intercept: fixed base cost
Step-by-step explanation:
The y-intercept is the value of y when x=0. The problem statement tells you that x is the number of miles driven, and y is the rental cost.
When the number of miles driven is zero, the rental cost is ...
y = 2.25×0 +70
y = 70
The cost of renting the truck is $70 when it isn't driven anywhere. The y-intercept ($70) is the basic, fixed cost of truck rental.
__
If x=1 (1 mile driven), then 2.25 is added to the cost of the truck rental. The slope (2.25) is the cost per mile driven. (That mileage cost is added to the basic rental cost.)
My best guess is the third one. Really sorry if I’m wrong.