Answer:
- It is a linear equation
- The graph of the equation will show that the <em>y</em> values increase as the <em>x</em> values increase.
Step-by-step explanation:
The pay Michael gets (y) is the amount per paper ($0.40) multiplied by the number of papers (x) and that product added to the daily base pay of $5. Michael's daily pay (in dollars) can be described by ...
y = 5.00 + 0.40x
This is a linear equation with a positive slope (meaning y goes up when x goes up).
Answer:
12 / (-15) goes in the first box.
12 / 15 goes into the second box
15 / -12 goes into the third box
and 15 / 12 goes into the fourth box
Step-by-step explanation:
Answer:

Step-by-step explanation:
Slope-intercept form of a <u>linear equation</u>:

where:
- m is the slope.
- b is the y-intercept (where the line crosses the y-axis).
<u>Slope formula</u>

<u>Equation 1</u>
<u />
Define two points on the line:
<u>Substitute</u> the defined points into the slope formula:

From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.
Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

<u>Equation 2</u>
<u />
Define two points on the line:
<u>Substitute</u> the defined points into the slope formula:

From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.
Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

<u>Conclusion</u>
Therefore, the system of linear equations shown by the graph is:

Learn more about systems of linear equations here:
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brainly.com/question/28093918
Answer:
Step-by-step explanation:
2.
AE=2BD
4x+14=2(4x+5)
4x+14=8x+10
8x-4x=14-10
4x=4
x=1
5.2
AB+ED=2FC
AB+36=2×20
AB=40-36=4
next.
m∠J+m∠N=180
6x+5+9x+20=180
15x=155
3x=31
x=\frac{31}{3}
∠N=9x+20=31×3+20=93+20=113
∠M+∠N=180
∠M+113=180
∠M=180-113=67°