Answer:
Please check the explanatio.
Step-by-step explanation:
Solving Part b)
We know that the slope-intercept form of the equation line is

where m is the slope and b is the y-intercept
Given the equation

Re-writing the equation in the slope-intercept form


Here, m=-2 and b=8
Thus, the equation in the slope-intercept form will be:

Solving Part c)
As you sold two pounds of cheddar cheese.
i.e. y=2
substituting y=2 in the slope-intercept form of the line equation


Subtract 8 from both sides


Divide both sides by -2


You sold 3 pounds of swiss cheese.
Solving Part d)

putting x=2.5 in the equation



The sides are not equal
<em>FALSE</em>
Thus, x=2.5 does not make any sense in the context of the problem.
Answer:
slope = m = 7/5
y-intercept = b = -3
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
y = 7/5 x - 3
slope = m = 7/5
y-intercept = b = -3
Answer:
(x, y) = (4, 9)
Step-by-step explanation:
You can use the second equation to write an expression for y.
y = 10 - 1/4x . . . . subtract 1/4x from the given 2nd equation
Now, substitute that for y in the first equation:
1/2x + 1/3(10 -1/4x) = 5
1/2x + 10/3 -1/12x = 5 . . . . eliminate parentheses
You can work this a couple of ways from here. One is to multiply by 12 to eliminate fractions. Another is to work with the numbers as they are. We'll do that, because we don't get enough practice doing arithmetic with fractions.
5/12x = 5/3 . . . . . subtract 10/3
x = (5/3)/(5/12) = 12/3 = 4
From above, we can use our expression for y:
y = 10 - 1/4·4 = 9
The solution is (x, y) = (4, 9).
Answer:
x=0
Step-by-step explanation:
7 + 12 + 17 + 22 + 27 = ( 7 + 27 ) + ( 12 + 22 ) + ( 34 / 2 ) = ( 34 / 1 ) + ( 34 / 1 ) + ( 34 / 2 ) = ( 68 / 2 ) + ( 68 / 2 ) + ( 34 / 2 ) = 170 / 2 = 85 .