Answer:
Step-by-step explanation:
1) In the first equation, - 4x was added to both sides of the equation. This is expressed as
6x - 4x + 9 = 4x - 4x - 3
2x + 9 = - 3
2) In the second equation, both sides of the equation was multiplied by - 1/4. This is expressed as
- 4 × - 1/4(5x - 7) = - 18 × - 1/4
5x - 7 = 4.5
3) In the third equation, - 4 was added to both sides of the equation. This is expressed as
8 - 10x = 7 + 5x
8 + (- 4) - 10x = 7 + (-4) + 5x
8 - 4 - 10x = 7 - 4 + 5x
4 - 10x = 5 + 5x
4) In the fourth equation, both sides of the equation was multiplied by - 4. This is expressed as
- 5x/4 × - 4 = 4 × - 4
5x = - 16
5) In the fourth equation, both sides of the equation was multiplied by 1/4x and 1/4. This is expressed as
12x × 1/4x + 4 × 1/4 = 20x × 1/4x + 24 × 1/4
3x + 1 = 5x + 6
She would save $9.12 by using the better sale! I hope this helped!:)
Answer:
Step-by-step explanation:
<u>Equation of a Line</u>
We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.
We are given a line
And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y
The coefficient of the x is the slope
The slope of the perpendicular line is the negative reciprocal of m, thus
We know the second line passes through (2,3). That is enough information to find the second equation:
Operating
Simplifying
That is the equation in slope-intercept form. Intercept: y=4
Is simply their difference,
Answer:
15
Step-by-step explanation:
Regina: 6.5h
Phil: 3(2.5h+5)
When you plug in the number of hours, you get the weekly pay. In order to get the same weekly pay, set the equations equal to each other.
6.5h=3(2.5h+5), This is an equation to find the number of hours it will take for them to get equal pay. Now, simplify.
6.5h=7.5h+15
-h=15
h=-15, -15 hours is your answer. You can't work negative hours though which means that Regina and Phil will never be able to make the same amount.
Phil has a higher rate and starting value, this means that Regina will never make the same amount working the same hours.
