All categories

3 years ago

Solving systems of linear inequalities

Mathematics

1 answer:

PIT_PIT [208]3 years ago

4 0

Answer:

YES. (2, 7) is a solution of the system.

Step-by-step explanation:

System of linear inequalities has been given as,

y ≥ -x + 1 --------(1)

y < 4x + 2 ------(2)

If (2, 7) is a solution of the given system of inequalities, it will satisfy both the inequalities.

By substituting the coordinates of point (2, 7) in inequality (1),

7 ≥ -2 + 1

7 ≥ -1

True.

By substituting the coordinates of point (2, 7) in inequality (2),

7 < 4(2) + 1

7 < 9

True.

Therefore, point (2, 7) lie in the solution area of system of inequalities.

YES. (2, 7) is a solution of the system.

You might be interested in

Robert found jeans on sale for 20%off the jeans were originally 65$ how much did he pay for the jeans

Mademuasel [1]

20% of 65 is $52

Hope this helps

7 0

3 years ago

Read 2 more answers

Complete the sentence below with less than,

Gekata [30.6K]

Answer: The Answer is "less than"

Step-by-step explanation:

To find the sum of a series, you find the difference between the first and last term, multiply that by the number of terms, then divide by 2.

For the even numbers, 2 is the first term and 200 is the 100th term (because 2+(100-1)2 is equal to 200). So, (100(2+202)/2 = 10100.

For the odd numbers, 1 is the first term and 201 is the 101th term (because 1+(101-1)2 is equal to 201). So, (101(1+202))/2 = 10251.5.

10100<10251.5 so the sum of the first 100 even numbers is less than the sum of the first odd 101 numbers.

8 0

4 years ago

Read 2 more answers

joe earns R25 per hour working at a pizza shop. How much will he earn over a weekend of two shifts, each six hours long

NeX [460]

Answer:

R300

Step-by-step explanation:

To solve:

Multiply 25 by 6 to represent the earnings of a shift.
Multiply the shift earnings by 2 to represent how much he earned over the weekend.

Multiply 25 by 6:

$25 \times 6 = 150$

Multiply 150 by 2:

$150 \times 2 = 300$

Joe will earn R300 over the weekend,

6 0

2 years ago

I got 77 for my total answer. I correct? if not can some help

mote1985 [20]

Yes you got it correct.

8 0

3 years ago

Read 2 more answers

Vlad [161]

The single transformation from shape A to B is: dilate A by 1/2, followed by a 180 degrees rotation

<h3>How to determine the transformation?</h3>

From the figure, we have:

Shape A is twice the size of shape B
Both shapes can be rotated by 180 degrees in either direction to map onto the other, after dilation.

This means that:

The scale of dilation from shape A is:

k = 1/2

Hence, the single transformation from shape A to B is: dilate A by 1/2, followed by a 180 degrees rotation