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bearhunter [10]
2 years ago
9

Which linear inequality is represented by the graph? Oys=x+2 Oy² 2x+2 Oy≤ x+2 Oy²x+2

Mathematics
1 answer:
Arada [10]2 years ago
4 0

Answer:

y ≤ \frac{1}{2}x + 2

(first option listed)

Step-by-step explanation:

To quickly find what function is graphed, you can test out one point you find on the graph.

Here, a simple x-value to plug in is 0, because we know it must be equal to 2.

We also know, from what part of the graph is shaded, that this inequality is everything <em>less</em> than that point

(meaning that we should see y ≤ in the inequality)

So, knowing that y must be  ≤   eliminates half of the answer options.

If we plug in 0 to either, we get 2.

So, we need to choose another x-value to evaluate.

We can see that when x = -2, y = 1

We can quickly plug this into both equations

(\frac{1}{3}) (-2)= \frac{-2}{3}\\\\ \frac{-2}{3} +2 = \frac{4}{3}

\frac{4}{3} \neq 1

-----------------------------------

(\frac{1}{2})(-2) = -1\\ \\-1+2 = 1

1 =1

This means that this graph represents the linear inequality:

y ≤ \frac{1}{2} x + 2

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The enrollment at Ousley Jr. High School dropped by 60 students over a 5-year period. What is the average yearly drop in enrollm
Snezhnost [94]

Answer:

The average yearly drop in enrollment is 12.

Step-by-step explanation:

The average refers to the central value in a group of numbers and with the information provided, you can find the average by dividing the number of students that dropped out of the school by the number of years over which that ocurred:

number of students= 60

number of years= 5

60/5=12

According to this, the answer is that the average yearly drop in enrollment is 12.

3 0
3 years ago
Calculate the mean number of students per class at watch school. Write your answers in sentences that explain what the means rep
Tpy6a [65]
To find the mean you add all the numbers then divide the sum by how many numbers there are :

1)Ford School
   
21+19+20=60

there are 3 numbers in the equation so you divide 60 by 3 :

60÷3=20

the mean for Ford School is 20

2)Carter School

41+36+37=114

there are 3 numbers in the equation so you divide 114 by 3 :

114÷3=38

the mean for Carter School is 38

hope this helps
6 0
2 years ago
Read 2 more answers
Q and R are independent events. if P(Q)= 1/4 and P (R)= 1/5, find P(Q and R)
Setler79 [48]

Answer:

1/4 * 1/5 = 1/20

3 0
3 years ago
How many sqft is in a rectangle of 360 by 190 feet
monitta

Answer: 68400

Explanation: The question is asking for area so you do base times height. In this case you multiply 360 times 190.

4 0
3 years ago
Geometry question. please help ​
Vinvika [58]

Answer:

The length of PQ is <u>18</u> feet.

The length of PR is <u>18</u> feet.

The length of QR is <u>24</u> feet.

Step-by-step explanation:

A way to set an equation up for this problem is:

\frac{4}{3}x+x+x=60

where x is the three lengths of the isosceles triangle, but the base QR is 4/3 the length of the other two congruent sides, length PQ and PR. The 60 represents the total length of the perimeter.

Then, solve for x from the equation, and you’ll get x=18. But your not done yet. Since the variable x in the equation stands for the sides of the isosceles triangle, so plug 18 into the equation and it should look like this:

\frac{4}{3}(18)+18+18=60

Don’t solve the whole equation, just solve the \frac{4}{3}(18) part of the equation, which is equal to 24. So the final equation is this:

24+18+18=60

Conclusion: 24 is the length of QR, and 18 is the length of PQ and PR. And they all equal 60, which is the perimeter. This is very true because the length of PQ and PR are the same (length 18), since it’s an isosceles triangle, and the length of QR is 4/3 the length of PQ and PR (4/3 of 18= 24).

Sorry for the long explanation.

But hope this helps and answers your question :)

8 0
3 years ago
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