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just olya [345]
3 years ago
8

Use the drawing tools to graph the solution to this system of inequalities on the coordinate plane. y > 2x + 4 x + y ≤ 6

Mathematics
2 answers:
VMariaS [17]3 years ago
7 0

Answer:  It will help to rewrite the second inequality in slope-intercept form.  y ≤ -x + 6

Make a chart. Make a list of x values , like  -1, 0,3 and put them in the inequalities and solve each to get y values.  Plot the points.  Using 0 as one of the x-values gives you the y-intercept.

For the first inequality, select the dashed line and connect the points. Select the Shaded Region and shade above the dashed line.

For the second inequality, select the line and connect the points. Shade below the solid line

Step-by-step explanation:

your chart for the first inequality y > 2x + 4  

x .  y

-1 .  2

0 .  4

3 .  10

x + y ≤ 6

-1 .  7

0 . 4

3 .  3    

The finished graph should look something like the attachment

Eduardwww [97]3 years ago
4 0

Answer:

Graph is attached.

Step-by-step explanation:

We are to graph the following inequalities:

y > 2x + 4 ... (i)

x + y ≤ 6 ... (ii)

We can graph these inequalities on an online graphing calculator but its recommended that you graph them on your physical graph book.

Your graph is attached below. The shaded region is the required part.

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jenyasd209 [6]

Answer: 336g.

Step-by-step explanation:

the formula for density is mass divided by volume (m/v). In this problem, you mus first find the volume of the square block. The formula for volume is length multiplied by width multiplied by height (LxWxH). To solve for volume you plug in the values to the equation: 6x4x2 = 48.

Now, you have the volume, and you have the density. Now you need to solve for mass. Plug in the values you have into the density equation (d=m/v):

7=m/48

to isolate M, multiply each side by 48. this leaves you with 7x48 = m. now all thats left is to solve. 7x48 = 336g. You can double check by plugging the values back into the equation. 336/48 = 7.

5 0
3 years ago
Qaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Kipish [7]

Answer:

32.8 miles

Step-by-step explanation:

Amy is driving to Seattle. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.95. See the figure below. Amy has 48 miles remaining after 31 minutes of driving. How many miles will be remaining after 47 minutes of driving?

Answer: The general equation of a line is given as y = mx + c, where m is the slope of the line and c is the intercept on the y axis. Given that the slope is -0.95, substituting in the general equation :

y = -0.95x + c

Amy has 48 miles remaining after 31 minutes of driving, to find c, we substitute y = 48 and x = 31. Therefore:

48 = -0.95(31) + c

c = 48 + 0.95(31)

c = 48 + 29.45

c = 77.45

The equation of the line is

y = -0.95x + 77.45

After 47 minutes of driving, the miles remaining can be gotten by substituting x = 47 and finding y.

y = -0.95(47) + 77.45

y = -44.65 + 77.45

y = 32.8 miles

3 0
3 years ago
Lisa and Marie are both on the track team. During practice, Lisa ran 10 laps around
Zigmanuir [339]

Answer:

Marie ran at a faster rate. It takes 27 minutes for Lisa to run 15 laps while it takes Marie 26.25 minutes to run 15 laps.

Step-by-step explanation:

18 ÷ 10 = 1.8 (Lisa's rate)

14 ÷ 8 = 1.75 (Marie's rate)

1.8 x 15 = 27 minutes (How long it takes for Lisa to run 15 laps)

1.75 x 15 = 26.25 (How long it takes for Marie to run 15 laps)

8 0
3 years ago
Look at the pic and help if you can thxxxx
givi [52]

Answer:

The 1,3,and 4.

Step-by-step explanation:

6 0
3 years ago
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OleMash [197]
5.8 km - 2.79 km = 3.01 km

3.01 km = 3010 m
6 0
3 years ago
Read 2 more answers
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