Answer:
Answer is: A(Linear)
Step-by-step explanation:
A linear function is a function whose graph is a straight line.
It is given that Mary plotted a graph and she found out that the difference in the y values is the same. So such a thing could happen when a function is a linear function.
since, a linear equation is given as:
where a and b are real numbers.
so for distinct values of x say
we get the y-values as ![y_{1},y_{2}](https://tex.z-dn.net/?f=y_%7B1%7D%2Cy_%7B2%7D)
now,
![y_{1}-y_{2}=a(x_{1}-x_{2})](https://tex.z-dn.net/?f=y_%7B1%7D-y_%7B2%7D%3Da%28x_%7B1%7D-x_%7B2%7D%29)
so for equally spaced
we get the difference in y-value to be equal.
Hence, the function is Linear.
Answer:
San francisco
Step-by-step explanation:
once you divide the distance by time then multiply the answer by the longest amount of time (aka 4)
San francisco = 2556
Minot = 1826
Phoenix = 2252
Answer:
![\frac{13}{20}](https://tex.z-dn.net/?f=%20%5Cfrac%7B13%7D%7B20%7D%20)
Step-by-step explanation:
![\frac{1}{4} + \frac{2}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20%20%2B%20%20%5Cfrac%7B2%7D%7B5%7D%20)
First, we need to make the demoninators the same so we times 4 by 5 and whatever we do to the bottom, we do to the top, and 5 by 4.
![\frac{ 1 \times 5}{4 \times 5} + \frac{2 \times 4}{5 \times 4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%201%20%5Ctimes%205%7D%7B4%20%5Ctimes%205%7D%20%20%2B%20%20%5Cfrac%7B2%20%5Ctimes%204%7D%7B5%20%5Ctimes%204%7D%20)
![\frac{5}{20} + \frac{8}{20}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B20%7D%20%20%2B%20%20%5Cfrac%7B8%7D%7B20%7D%20)
![= \frac{13}{20}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B13%7D%7B20%7D%20)
demoninator now doesn't change unless you're multiplying or dividing.
For this case we have a factored expression, of a second degree equation:
(![(x-3) (x + 8) = 0](https://tex.z-dn.net/?f=%28x-3%29%20%28x%20%2B%208%29%20%3D%200)
To find the solutions:
we add 3 to both sides of the equation:
![x=3](https://tex.z-dn.net/?f=x%3D3)
We subtract 8 on both sides of the equation:
![x = -8](https://tex.z-dn.net/?f=x%20%3D%20-8)
Thus, the solutions of the equation are:
![x_ {1} = 3\\x_ {2} = - 8](https://tex.z-dn.net/?f=x_%20%7B1%7D%20%3D%203%5C%5Cx_%20%7B2%7D%20%3D%20-%208)
Answer:
![x_ {1} = 3\\x_ {2} = - 8](https://tex.z-dn.net/?f=x_%20%7B1%7D%20%3D%203%5C%5Cx_%20%7B2%7D%20%3D%20-%208)
Answer: With approximately a half-ounce of aluminum per can, or 32 cans per pound, that makes each one worth about 1.7 cents.
Step-by-step explanation: What is 5 pounds of aluminum cans worth?