Answer:
They are (6, 1) or (3, 2).
Step-by-step explanation:
The factor pairs of 6 are 1×6 and 2×3
So the parallelogram (height by length) could be:
1 by 6
2 by 3
3 by 2
6 by 1.
Answer:
The costs of the plan are $0.15 per minute and a monthly fee of $39
Step-by-step explanation:
Let
x ----> the number of minutes used
y ----> is the total cost
step 1
Find the slope of the linear equation
The formula to calculate the slope between two points is equal to
![m=\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
we have the ordered pairs
(100,54) and (660, 138)
substitute
![m=\frac{138-54}{660-100}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B138-54%7D%7B660-100%7D)
![m=\frac{84}{560}=\$0.15\ per\ minute](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B84%7D%7B560%7D%3D%5C%240.15%5C%20per%5C%20minute)
step 2
Find the equation of the line in point slope form
![y-y1=m(x-x1)](https://tex.z-dn.net/?f=y-y1%3Dm%28x-x1%29)
we have
![m=0.15\\point\ (100,54)](https://tex.z-dn.net/?f=m%3D0.15%5C%5Cpoint%5C%20%28100%2C54%29)
substitute
![y-54=0.15(x-100)](https://tex.z-dn.net/?f=y-54%3D0.15%28x-100%29)
step 3
Convert to slope intercept form
Isolate the variable y
![y-54=0.15x-15\\y=0.15x-15+54\\y=0.15x+39](https://tex.z-dn.net/?f=y-54%3D0.15x-15%5C%5Cy%3D0.15x-15%2B54%5C%5Cy%3D0.15x%2B39)
therefore
The costs of the plan are $0.15 per minute and a monthly fee of $39
Answer:
![-2x^2+11](https://tex.z-dn.net/?f=-2x%5E2%2B11)
Step-by-step explanation:
![-2x^2+11](https://tex.z-dn.net/?f=-2x%5E2%2B11)
Since there aren't any like terms, the answer would be:
![-2x^2+11](https://tex.z-dn.net/?f=-2x%5E2%2B11)
Hope this helps!