All categories

3 years ago

To which graph does the point (−1, 4) belong? y ≤ −x + 4 y ≤ −x − 5 y ≤ 2x − 3 y ≤ 5x + 1

2 answers:

6 0

By replacing the point (-1, 4) into the first inequality y<= -(x)+4
4<= - (-1)+4
4<=1+4
4<=5 (this implies that this is the answer).

victus00 [196]3 years ago

4 0

Answer:

Option A is correct.

Step-by-step explanation:

Given coordinates of the point ( -1 , 4 )

Option A

y ≤ -x + 4

LHS = y = 4

RHS = -x + 4 = -(-1) + 4 = 5

LHS ≤ RHS

So, Given point belong to this graph.

Option B

y ≤ -x - 5

LHS = y = 4

RHS = -x - 5 = -(-1) - 5 = -4

LHS ≥ RHS

So, Given point does not belong to this graph.

Option C

y ≤ 2x - 3

LHS = y = 4

RHS = 2x - 3 = 2(-1) - 3 = -5

LHS ≥ RHS

So, Given point does not belong to this graph.

Option D

y ≤ 5x + 1

LHS = y = 4

RHS = 5x + 1 = 5(-1) + 1 = -4

LHS ≥ RHS

So, Given point does not belong to this graph.

Therefore, Option A is correct.

You might be interested in

What is the diffrence in llace value between the 2 in 324 in 0.324

gogolik [260]

The three place values in 324 are as follows:

3 = hundreds (100)
2 = tens (10)
4 = ones (1)

The four place values in 0.324 are as follows:

0 = ones (1)
3 = tenths (1/10)
2 = hundredths (1/100)
4 = thousandths (1/1000)

With this knowledge, we can see that the 2 in 324 is in the “tens” place. Meanwhile, the 2 in 0.324 is in the “hundredths” place.

I hope this answers your question!

5 0

4 years ago

The front of a garage needs to be painted. The total area except for the door will be painted. The door is 1.5 m high and 2 m wi

Sever21 [200]

Answer:

The answer for A is $7.85m^{2}$ .

The answer for B is 4 cans.

The answer of C is $98.

Step-by-step explanation:

A-

Multiply 2.5 by 3.5 and you'll get 8.75 Multiply 3.5 by 1.2 and you'll get 4.2; divide and your answer will be 2.1 Add to 8.75 Get 10.85 Subtract from area of door ( 3m because 1.5 times 2 is 3) and you'll get 7.85

B-

Divide 7.85 by 2.5 and you'll get 3.104; round that and you'll get 4 cans.

C-

Multiply the amount of cans (4) by 24.5. Do this and you'll get $98.

Hope this was helpful!!!

8 0

3 years ago

(-20, -16), (7, 20) Find the slope of the line through each pair of points.

lianna [129]

Hope this will help u....:)

3 0

3 years ago

Read 2 more answers

you are a school photographer taking individual and class pictures for 2 classes of 21 students each on average each individual

uysha [10]

Answer: Approximately 146 minutes (or if you need the simplified version the answer is 2 hours and 26 minutes). Step-by-step explanation: Step 1. Two classes of 21 students. To calculate that you would multiply 21 by 2. 21*2=42 Step 2. So now we know you need 42 individual pictures. If they each take 3 minutes to take you need to multiply 42 by 3. 42*3=126. So now you know it’ll take 126 minutes to take all the individual pictures. Step 3. Now, there are 2 classes of people and it takes 10 minutes to take each class picture. So do calculate that you need to multiply 10 by 2. 10*2=20. So it’ll take 20 minutes to take both class pictures. Step 4. Now we know it’ll take 126 minutes to take all the individual photos and 20 minutes to take the class photos. Now to calculate the total amount of time it’ll take to take all the photos you need to add 20 to 126. 126+20=146. So, it’ll take 146 minutes to take all the photos. Step 5. (You can skip this step if no simplification is needed in your problem) So, we all know there is 60 minutes in an hour so we’ll divide 146 by 60. 146/60=2.43. So, now we know it’ll take 2.43 hours to take all the photos. 2.43 hours is 2 hours and 26 minutes. I hope this helps!

4 0

3 years ago

A red ball has a mass that is less then 1 killogram.A blue ball has 1 killogram.is the mass of blue ball more then or less then

kifflom [539]

The blue ball is more than the red ball because there isn't anything smaller than kilograms

7 0

3 years ago

Read 2 more answers