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ValentinkaMS [17]
2 years ago
9

Graph each inequality.

Mathematics
1 answer:
GalinKa [24]2 years ago
6 0
Where are the numbers/inequality’s?
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Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his
evablogger [386]

Answer/Step-by-step explanation:

a. Using a point on the graph, (6, 12), and the slope of the line, we can first generate an equation in the point-slope form, given as y - b = m(x - a), where,

m = slope, and (a, b) is a point on the line.

Using two points, (6, 12) and (3, 21), let's find slope, m.

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{21 - 12}{3 - 6} = \frac{9}{-3} = -3

Using a point (6, 12) and slope, m = -3, generate an equation in the point-slope form by substituting a = 6, b = 12, and m = -3 in y - b = m(x - a).

✅Equation in point-slope form would be:

y - 12 = -3(x - 6)

Rewrite this to make it be in the slope-intercept form, y = mx + b.

y - 12 = -3(x - 6)

y - 12 = -3x + 18

Add 12 to both sides

y = -3x + 18 + 12

y = -3x + 30

✅The equation in slope-intercept form is y = -3x + 30

b. ✍️Based on the linear model, y = -3x + 30, the 30 represents b = y-intercept.

✅Therefore, it took Peter 30 mins long initially to deliver his package.

✍️Based on the linear model, y = -3x + 30, "-3" represents the slope.

✅Therefore,  Peter's delivery time decreased 3 mins per day.

6 0
3 years ago
Solve the equation. Check your solution. (1/2 is a fraction for one half <br> s-1/2=1/2
Alchen [17]

Answer:

s = 1

Step-by-step explanation:

Given

s - \frac{1}{2} = \frac{1}{2}

Required

Solve for s

s - \frac{1}{2} = \frac{1}{2}

Add \frac{1}{2} to both sides

s - \frac{1}{2} + \frac{1}{2} = \frac{1}{2} + \frac{1}{2}

Take LCM

s + \frac{-1+1}{2}  = \frac{1+1}{2}

s + \frac{0}{2}  = \frac{2}{2}

s +0  = 1

s = 1

4 0
2 years ago
Solve triangle ABC<br>B=56 degrees, a=14<br>​
aliya0001 [1]
I believe B - 56 and the other two would be 17? but I’m not completely sure
7 0
3 years ago
Forget how to do this please someone help
tangare [24]

Answer:

9.830

Step-by-step explanation:

I'm not sure if it's right but hope this helps you

6 0
3 years ago
Find the volume 2.4m 6m 8m
Svetach [21]
The answer is 115.2 because you only multiply 
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3 years ago
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