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2 years ago

Which ordered pair makes both inequalities true?

Mathematics

1 answer:

kvasek [131]2 years ago

6 0

Answer:

(3, 0)

Step-by-step explanation:

Given the inequality y > -2x + 3 and y ≤ x - 2

The graph of the inequalities are plotted using the geogebra graphing online calculator.

The portion of the graph that is shaded with dark blue, represents the portion that supports the equation.

All the ordered pair points given in the question are also labelled in the graph.

From the graph we can see that only point (3, 0) falls in the area that supports the equation. Hence (3, 0) makes both inequalities true.

You might be interested in

Decrease 248 by 30%

Snowcat [4.5K]

Okay this equation really says is what is 30% of 248.

So, lets convert 30% to a fraction, 3/10 which is easier to work with.

All you have to do now is get out a calculator and do 248 *3/10 (or .3) and get 74.4

So subtract 74.4 and get

173.6

8 0

2 years ago

-1 + 4x=3x +3<br> Solve for x ?

docker41 [41]

Answer:

$x = 4$

Step-by-step explanation:

1. Regroup terms.

$4x - 1 = 3x + 3$

2. Add 1 to both sides.

$4x = 3x + 3 + 1$

3. Simplify 3x + 3 + 1 to 3x + 4.

$4x = 3x + 4$

4. Subtrect 3x from both sides.

$4x - 3x = 4$

5. Simplify 4x - 3x to x.

$x = 4$

Therefor, the answer is, x = 4.

5 0

2 years ago

Latoya drives 8 miles to work in 13 minutes. What is her average rate, in miles per hour, when rounded to the nearest wholes num

Mama L [17]

Answer:

37 miles per hour

Step-by-step explanation:

To find the average rate (average speed) of Latoya in miles per hour, you would divide the distance traveled (in miles) by the time taken to travel (in hours).

So we know that Latoya traveled 8 miles in 13 minutes. We cannot divide 8 by 13, because 13 is in minutes, not hours. We must convert 13 minutes to hours before dividing.

There are 60 minutes in one hour, so to covert minutes into hours, we would divide the minutes (13) by 60. Doing this would give you 13/60. You cannot simplify the fraction 13/60, because 13 is a prime number. It would be best to just leave it as it is for now. So Latoya traveled for 13/60 hours.

Now, to find her average rate in miles per hour, you divide the distance traveled in miles (8 miles) by the time it took to travel in hours (13/60):

8 ÷ 13/60

Remember, a ÷ b/c = a × c/b. Using this:

8 ÷ 13/60 = 8 × 60/13 = 480/13 ≈ 37 rounded to the nearest whole number.

Latoya had an average rate of about 37 miles per hour.

I hope this helps. :)

6 0

2 years ago

could someone explain to me how to multiple/divide equations in scientific notation im super confused :(

Gemiola [76]

Hi you can change the scientific notation to standard notation. Then go from there

3 0

1 year ago

Pre algebra help ( will give brainliest ) sorry if it's hard to see

valentinak56 [21]

It would have changed by 1/3 is ur answer

4 0

2 years ago

Read 2 more answers