Answer:
He is being paid $180 on Monday.
Step-by-step explanation:
Since it asks for function notation, I'll relate the variables accordingly. So, x, the independent variable, is the one that is being adjusted. That would be the amount of miles that he is assigned so x = miles assigned. Next, the dependent variable, f(x), is the amount of cash he is paid, so f(x) = total amount paid.
Here is the function that can be used to represent the situation:
f(x) = 3.50x + 75
Now, plug in 30 to find out how much he earns after completing a 30 mile route:
f(30) = 3.50(30) + 75
f(30) = 105 + 75
f(30) = 180
Also, the $75 is a fixed amount. No variable association.
Well, Aml says they're congruent. I don't think they CAN be ... There's no way
you can slide one around and make it fit exactly on top of the other one. They
appear to be mirror-images of each other ... maybe.
But AML says they're congruent. So let's assume that the longest sides of both
triangles have the same length. Then the length of FE in the standing-up triangle
is the same as the distance between points 'A' and 'C' in the lying-down triangle.
Point A . . . . . (0, 1)
Point C . . . . . (3, 2) .
The distance between them is
square root of (square of difference in 'x' + square of difference in 'y').
Difference in 'x' . . . . . 3
Difference in 'y' . . . . . 1
Distance = √(3² + 1²)
= √(9 + 1)
= √10 = 3.1622776...
Rounded to the nearest tenth: 3.2
Should be about 6870.66 maybe
Answer: Ron take approximately 4.2 hours to make 100 crusts alone.
Step-by-step explanation:
Since we have given that
Number of hours taken by Ron before Harold = 1.2 hours
Number of hours taken by Ron and Harold together = 1.8 hours
We need to find the number of hours taken by Ron alone i.e. 'x'.
Let number of hours taken by Harold alone be '1.2-x'.
Let work done by Ron alone = ![\dfrac{1}{x}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bx%7D)
Work done by Harold = ![\dfrac{1}{x-1.2}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bx-1.2%7D)
According to question, we get that
![\dfrac{1}{x}+\dfrac{1}{x-1.2}=\dfrac{1}{1.8}\\\\\dfrac{x-1.2+x}{x(x-1.2)}=\dfrac{1}{1.8}\\\\\dfrac{2x-1.2}{x^2-1.2x}=\dfrac{1}{1.8}\\\\3.6x-2.16=x^2-1.2x\\\\x^2-1.2x-3.6x+2.16=0\\\\x^2-4.8x+2.16=0\\\\x=0.5,4.2](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bx%7D%2B%5Cdfrac%7B1%7D%7Bx-1.2%7D%3D%5Cdfrac%7B1%7D%7B1.8%7D%5C%5C%5C%5C%5Cdfrac%7Bx-1.2%2Bx%7D%7Bx%28x-1.2%29%7D%3D%5Cdfrac%7B1%7D%7B1.8%7D%5C%5C%5C%5C%5Cdfrac%7B2x-1.2%7D%7Bx%5E2-1.2x%7D%3D%5Cdfrac%7B1%7D%7B1.8%7D%5C%5C%5C%5C3.6x-2.16%3Dx%5E2-1.2x%5C%5C%5C%5Cx%5E2-1.2x-3.6x%2B2.16%3D0%5C%5C%5C%5Cx%5E2-4.8x%2B2.16%3D0%5C%5C%5C%5Cx%3D0.5%2C4.2)
x-1.2 does not satisfied with x = 0.5 so, x = 4.2
Hence, Ron take approximately 4.2 hours to make 100 crusts alone.