Answer:
y = (-1/2)x + 5
Step-by-step explanation:
As we move from the y-intercept (0, 5) to the x-intercept (10,0), x increases by 10 units while y decreases by 5 units. Thus, the slope of this line is
m = rise / run = -5 / 10 = -1/2.
Since we know both the slope and the y-intercept of this line, let's use the slope-intercept form of the equation of a straight line: y = mx + b.
Substituting -1/2 for m and 5 for b, we get:
y = (-1/2)x + 5
First we write the variables already defined:
m = the number of magazine subscriptions sold
n = the number of newspaper subscriptions sold
We now write the system of inequations based on the following facts:
"he earns $ 23 for each magazine subscription and $ 54 for each newspaper subscription that he sells. his goal is to make more than $ 642 per week"
23m + 54n> 642
"I have expectations to sell at least 10 subscriptions per week"
m + n> = 10
Answer:
A system of inequalities that models the given situation is:
23m + 54n> 642
m + n> = 10
Answer:
- The numbers are 8 and 10.
Step-by-step explanation:
Let the numbers be x and y.
The sum of two numbers is eighteen:
The total of three times the smaller and twice the larger is forty-four:
Solve the system by substitution:
Substitute x and solve for y:
- 3(18 - y) + 2y = 44
- 54- 3y + 2y = 44
- 54 - y = 44
- y = 54 - 44
- y = 10
Find x:
Answer:
x=2.11872822
Step-by-step explanation:
