We conclude that, if working at the same rate, to make 374 units, she needs to work for 17 hours.
<h3>
At the same rate, how many hours would she have to work to make 374?</h3>
We know that Mary makes 242 units of something in 11 hours of work, then her rate of work is:
R = (242 units)/(11 hours) = 22 units per hour.
Now, if she wants to make 374 units, then she needs to work for a time T, such that:
(22 units per hour)*T = 374 units.
Solving that linear equation for T, we get:
T = (374 units)/(22 units per hour) = 17 hours
We conclude that, if working at the same rate, to make 374 units, she needs to work for 17 hours.
If you want to learn more about linear equations:
brainly.com/question/1884491
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Answer:
8m
Step-by-step explanation:
x = hypotenuse since they want the point of observation to the top of the tree
cos 60 = 4/x
x = 4 / cos 60
x = 8m
Slope of a line passing through two given points
= (y2-y1)/(x2-x1)
For m=3, and substituting coordinates,
3=(1-y)/(4-1)
solve for y
1-y=3*3=9
y=1-9=-8
Answer: y=-8
Answer: c = -5, -8
Step-by-step explanation:
c^2 +13c+40=0
(c+5)(c+8)=40
c = -5, -8
Answer:
![\large\boxed{(f+g)(x)=5x^2+6}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%28f%2Bg%29%28x%29%3D5x%5E2%2B6%7D)
Step-by-step explanation:
![(f+g)(x)=f(x)+g(x)\\\\f(x)=4x^2+1,\ g(x)=x^2-5\\\\\text{Substitute:}\\\\(f+g)(x)=(4x^2+1)+(x^2-5)\\\\=4x^2+1+x^2-5\qquad\text{combine like terms}\\\\=(4x^2+x^2)+(1+5)\\\\=5x^2+6](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3Df%28x%29%2Bg%28x%29%5C%5C%5C%5Cf%28x%29%3D4x%5E2%2B1%2C%5C%20g%28x%29%3Dx%5E2-5%5C%5C%5C%5C%5Ctext%7BSubstitute%3A%7D%5C%5C%5C%5C%28f%2Bg%29%28x%29%3D%284x%5E2%2B1%29%2B%28x%5E2-5%29%5C%5C%5C%5C%3D4x%5E2%2B1%2Bx%5E2-5%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%3D%284x%5E2%2Bx%5E2%29%2B%281%2B5%29%5C%5C%5C%5C%3D5x%5E2%2B6)