Answer: 2
-7 - (-9) could be visualized as -7 + 9
-7 + 9 is 2
8x^2-14xy+3y^2 is the answer
Answer:
41 miles per hour
Step-by-step explanation:
This is a fraction equal to
41 miles ÷ 1 gallon
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 1
41 miles ÷ 1
1 gallon ÷ 1
= 41 miles per gallon
I hope this works
First find the secant line. The slope of the secant line through
![(-1,1)](https://tex.z-dn.net/?f=%28-1%2C1%29)
(when
![x=-1](https://tex.z-dn.net/?f=x%3D-1)
) and
![(2,4)](https://tex.z-dn.net/?f=%282%2C4%29)
(when
![x=2](https://tex.z-dn.net/?f=x%3D2)
) is the average rate of change of
![y=x^2](https://tex.z-dn.net/?f=y%3Dx%5E2)
over the interval
![[-1,2]](https://tex.z-dn.net/?f=%5B-1%2C2%5D)
:
![\text{slope}_{\text{secant}}=\dfrac{2^2-(-1)^2}{2-(-1)}=\dfrac33=1](https://tex.z-dn.net/?f=%5Ctext%7Bslope%7D_%7B%5Ctext%7Bsecant%7D%7D%3D%5Cdfrac%7B2%5E2-%28-1%29%5E2%7D%7B2-%28-1%29%7D%3D%5Cdfrac33%3D1)
The tangent line to
![y=x^2](https://tex.z-dn.net/?f=y%3Dx%5E2)
will have a slope determined by the derivative:
![y=x^2\implies y'=2x](https://tex.z-dn.net/?f=y%3Dx%5E2%5Cimplies%20y%27%3D2x)
Both the secant and tangent will have the same slope when
![2x=1](https://tex.z-dn.net/?f=2x%3D1)
, or when
![x=\dfrac12](https://tex.z-dn.net/?f=x%3D%5Cdfrac12)
.
Answer:
3/2 is the quotient
Step-by-step explanation:
-3/8 / -1/4
-3/8 x -4
3x4/8
12/8
3/2