N=-2
Add 42 to both sides to get -6n=12
Divide both sides by -6
Answer:
hmmmmmmmmm
Step-by-step explanation:
$12?
i think
Answer:
![y=2x^2-\frac{4}{3}x-\frac{10}{3}](https://tex.z-dn.net/?f=y%3D2x%5E2-%5Cfrac%7B4%7D%7B3%7Dx-%5Cfrac%7B10%7D%7B3%7D)
Step-by-step explanation:
we know that
The roots of the quadratic function (x-intercepts) are
x=-1 and x=5/3
so
we can write the equation of the parabola as
![y=a(x+1)(x-\frac{5}{3})](https://tex.z-dn.net/?f=y%3Da%28x%2B1%29%28x-%5Cfrac%7B5%7D%7B3%7D%29)
where
a is a coefficient
Remember that
The parabola pass through the point (5,40)
substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a
x=5, y=40
![40=a(5+1)(5-\frac{5}{3})](https://tex.z-dn.net/?f=40%3Da%285%2B1%29%285-%5Cfrac%7B5%7D%7B3%7D%29)
![40=a(6)(\frac{10}{3})](https://tex.z-dn.net/?f=40%3Da%286%29%28%5Cfrac%7B10%7D%7B3%7D%29)
![40=20a\\a=2](https://tex.z-dn.net/?f=40%3D20a%5C%5Ca%3D2)
substitute
![y=2(x+1)(x-\frac{5}{3})](https://tex.z-dn.net/?f=y%3D2%28x%2B1%29%28x-%5Cfrac%7B5%7D%7B3%7D%29)
apply distributive property
![y=2(x^2-\frac{5}{3}x+x-\frac{5}{3})\\\\y=2(x^2-\frac{2}{3}x-\frac{5}{3})\\\\y=2x^2-\frac{4}{3}x-\frac{10}{3}](https://tex.z-dn.net/?f=y%3D2%28x%5E2-%5Cfrac%7B5%7D%7B3%7Dx%2Bx-%5Cfrac%7B5%7D%7B3%7D%29%5C%5C%5C%5Cy%3D2%28x%5E2-%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B5%7D%7B3%7D%29%5C%5C%5C%5Cy%3D2x%5E2-%5Cfrac%7B4%7D%7B3%7Dx-%5Cfrac%7B10%7D%7B3%7D)
see the attached figure to better understand the problem
Two tractor trailers would weigh 160,000 pounds, which is equal to 80 tons. 100-80= 20 tons that are still available.