Answer:
the gcf of those two numbers is 5
Step-by-step explanation:
25/5
40/5
Answer: Each candy costs
and each drink costs ![\$4](https://tex.z-dn.net/?f=%5C%244)
Step-by-step explanation:
We are told Dominic bought 2 drinks and 5 candies, costing a total of
:
(1)
Then, we are told Colton bought 8 drinks and 7 candies, costing a total of
:
(2)
Now we have a system with two equations ans two unknowns. Let's solve it:
Multiplying (1) by -4:
(3)
Summing (2) and (3):
(4)
Isolating
:
(5) This is the cost of each candy
Substituting (5) in (1):
(6)
Isolating
:
(7) This is the cost of each drink
It is the cube root of 756
^3 and cube root are inverse functions
To find the slope of this line, we must use the equation:
![slope=\frac{x_{2}-x_{1}}{y_{2}-y_{1}}](https://tex.z-dn.net/?f=%20slope%3D%5Cfrac%7Bx_%7B2%7D-x_%7B1%7D%7D%7By_%7B2%7D-y_%7B1%7D%7D%20%20)
Where
and
can be assigned to either point.
Let's use (-6, -13) as the point "1" and (3, -1) as the point "2":
![slope=\frac{3-(-6)}{-1-(-13)}](https://tex.z-dn.net/?f=%20slope%3D%5Cfrac%7B3-%28-6%29%7D%7B-1-%28-13%29%7D%20%20)
![slope=\frac{9}{12} =\frac{3}{4}](https://tex.z-dn.net/?f=%20slope%3D%5Cfrac%7B9%7D%7B12%7D%20%3D%5Cfrac%7B3%7D%7B4%7D%20%20)
So now we know that the slope between these two points is
.