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blsea [12.9K]
1 year ago
11

Which graph shows the solution to this system of inequalities? y<-1/3x+1 y<_2x-3

Mathematics
1 answer:
kari74 [83]1 year ago
8 0

The graph that shows the solution to the system of inequalities is: C (see the image attached below).

<h3>How to Determine the Graph of the Solution to a System of Inequalities?</h3>

Given the following systems of inequalities:

y < -1/3x + 1

y ≤ 2x - 3

Below are the features of the graph that represents a solution to the system of inequalities:

  • The boundary line of y < -1/3x + 1 would be a dashed line and the shaded area would be below it, because of the inequality sign, "<".
  • The boundary lines of y ≤ 2x - 3 would be a solid line and the shaded area would be below it, because of the inequality sign, "≤".
  • The slope of the shaded line that represents  y < -1/3x + 1, would be -1/3, and the line would be a decreasing line which intersects the y-axis at 1.
  • The slope of the line that represents y ≤ 2x - 3, would be 2, and the line would also be an increasing line that intersects the y-axis at -3.

Therefore, the graph that shows the solution to the system of inequalities is: C (see the image attached below).

Learn more about the graph of the system of inequalities on:

brainly.com/question/10694672

#SPJ1

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If you knew that two angles were complementary and were given the measure of one of those angles, would you be able to find the
vladimir1956 [14]

If we knew that two angles were complementary and were given the measure of one of those angles, then we can find the measure of the other angle by subtracting the given measure of one angle from 90

<em><u>Solution:</u></em>

Given that,

If you knew that two angles were complementary and were given the measure of one of those angles, would you be able to find the measure of the other angle

Yes we can find the measure of another angle

<em><u>Complementary angles:</u></em>

Complementary angles are two angles whose sum is 90 degrees

Therefore, if measure of one angle is given, then we can find the measure of another angle

Measure of another angle = 90 - measure of one angle

<em><u>Example:</u></em>

If x and y are complementary angles

Given that measure of angle x is 45 degrees

Then we can say,

According to complementary angles definition

x + y = 90

45 + y = 90

y = 90 - 45

y = 45

Thus measure of other angle y is found to be 45 degrees

3 0
3 years ago
jose earned 50 points in a video game. He lost 40 points, earned 87 points, and then lost 30 more points. Write and evaluate an
barxatty [35]
50+87=137 total earned points
40+30=70 total lost points
137-70= 67 total ending points.
Jose’s final score is 67 points
4 0
3 years ago
4x + 7 + 3y - (1+3y+2x)
GarryVolchara [31]

Answer:

2x+6

Step-by-step explanation:

4 0
3 years ago
PLEASE HELP ASAP
Fittoniya [83]

Answer:

Log(x)

Step-by-step explanation:

8 0
3 years ago
An online retailer is offering a 30% savings on your total order. You decide to purchase a pair of pants for $82, two shirts for
Natali [406]

Answer:

$233.39

Step-by-step explanation:

Pants = $82, 2 Shirts = $53 * 2, Shoes = $120

Add all these values up to find the total cost of your order excluding tax.

82 + 53(2) + 120 = 308

Next find the price w/ tax. Multiply 308 by 8.25%, or 0.0825.

308 * 0.0825 = 25.41

Now you add the tax to the total value.

308 + 25.41 = 333.41

The total value including tax is $333.41. The online retailer is offering a 30% savings (discount), so multiply the total price including tax by 30% (0.30).

333.41 * 0.30 = 100.023

Now you subtract the discount from the total price.

333.41 - 100.023 = 233.38700

The question say the answer rounded to the nearest cent or hundredths, so your final answer is 233.39.

The final price of the clothing including all discounts and taxes is $233.39.

7 0
3 years ago
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