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solong [7]
3 years ago
14

Determine which of the ordered pairs are a part of the solution set of y + 3 < 2x (0, –4)

Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
6 0

Answer:

(0, –4)

(2, 0)

(2, –2)

Step-by-step explanation:

y + 3 < 2x

Subtract 3 from each side

y + 3-3 < 2x-3

y  < 2x-3

Let x=0

y < 0-3

y <-3

(0,-4)is a solution

Let x = 2

y  < 2(2) -3

 y< 4-3

y<1

(2,0)   is a solution

(2,-2) is a solution

lorasvet [3.4K]3 years ago
5 0

Answer:

(2,0) and (2,-2)

Step-by-step explanation:

y+3<2x

(2,0) is solution because 0+3<2*2, 3<4 and

(2,-2) because - 2+3<2*2, 1<4

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Quadrilateral ABCD is a a square and the length of BE is 6 cm.<br><br>What is the length of AC?
Aloiza [94]

The answer is: 12 centimeters.

The explanation is shown below:

1. By definition, all four sides of the square are equal and the diagonals are equal too.

2. Keeping the information above on mind, you know that AC and BD are equal:

AC=BD

3. Then, the length of BD is twice BE. So, you can calculate it as following:

BD=2BE

BD=2(6cm)\\BD=12cm

4. Therefore, the lenght of AC is:

AC=12cm

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3 years ago
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vekshin1

Chris and Jim must replace a <em>total</em> quantity of 17 tyres.

<h3>What is the minimum number of tyres to be replaced?</h3>

In this problem we must use an inequality of the form f(x) ≥ a, where f(x) is the difference between the number of tyres replaced by Jim and the number of tyres replaced by Chris:

(25/20) · x - x ≥ 3

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x ≥ 12

Then, the <em>minimum</em> number of tyres to be replaced is n = 15 + 12 = 17 tyres.  

To learn more on inequalities: brainly.com/question/20383699

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