Answer:
1. y = (⅔)x - 3
2. y = 3x + c
3. 1) non-proportional
2) can be proportional if c = 0
Step-by-step explanation:
1. What is the equation of a line that has a slope of ⅔ and a y-intercept of -3?
y = (⅔)x - 3
2. What is the equation of a line that has a slope of 3?
y = 3x + c
3. Lable the 2 equations as proportional or non-proportional and why.
A proportional relation should pass through the origin, i.e the y-intercept should be 0
Answer:
2
Step-by-step explanation:
This depends on what type of graph, like quadratic, linear, etc. For linear it would be 2 points.
Answer: No solution
Step-by-step explanation:
Perimeter= 2(length) + 2(width)
If they have the same perimeter than we can write their values as an equation like this:
2(10) + 2x = 2(6) + 2(x + 3)
20 + 2x = 12 + 2(x+3)
DISTRIBUTE THE 2 TO THE X AND THE 3
20 + 2x = 12 + 2x + 6
COMBINE LIKE TERMS
20 + 2x = 18 + 2x
SUBTRACT 2X FROM BOTH SIDES
20 = 18
<u>THE EQUATION HAS NO SOLUTION, AND YOU ARE CORRECT</u>
Answer:

Step-by-step explanation:
You can use these Cramer's formulas to solve for x and y:

where

So,

Answer:
40 ounces of coffee
Step-by-step explanation:
we know that
To make caffe mocha, LaVelle uses one ounce of chocolate syrup,and five ounces of coffee
so
To make 6 ounces of caffe mocha (one ounce of chocolate syrup plus 5 ounces of coffe), LaVelle uses one ounce of chocolate syrup,and five ounces of coffee
using proportion
Find out how many ounces of coffee does she need to make 48 ounces of caffe mocha
Let
x ---> ounces of coffee needed to make 48 ounces of caffe mocha
