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Naya [18.7K]
3 years ago
9

Y=3x-7; (4,5) How do I work this equation to determine if it is a solution

Mathematics
1 answer:
marishachu [46]3 years ago
7 0

Answer: Yes, it is a solution

Step-by-step explanation:

So in the parenthesis, 4 is x and 5 is y, since x comes before the y. Plug the 4 in where the x is, and the 5 where the y is, and you should get 5= 12-7. 12-7 does equal 5, therefore it is a solution :)

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Order the decimals from least to greatest 48.6, 1.6, 0.13, 153.7, 2.2, 49.2
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0.13, 1.6, 2.2, 48.6, 49.2, 153.7

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What is 1/3 of 9/16?
mariarad [96]

of means times so you multiply the fractions

1 x 9 = 9

3 x 16 = 48 (we multiplied numerators and denominators)

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Which ordered pairs are solutions to the inequality 2x+y>−4?
hichkok12 [17]

we will proceed to resolve each case to determine the solution

we have

2x+y>-4

y>-2x-4

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

<u>case a)</u> (5,-12)

Substitute the value of x and y in the inequality

-12>-2*5-4

-12>-14 ------> is True

therefore

the ordered pair (5,-12) is a solution of the inequality

<u>case b)</u> (-3,0)

Substitute the value of x and y in the inequality

0>-2*-3-4

0>2 ------> is False

therefore

the ordered pair (-3,0) is not a solution of the inequality

<u>case c)</u> (-1,-1)

Substitute the value of x and y in the inequality

-1>-2*-1-4

-1>-2 ------> is True

therefore

the ordered pair(-1,-1) is a solution of the inequality

<u>case d)</u> (0,1)

Substitute the value of x and y in the inequality

1>-2*0-4

1>-4 ------> is True

therefore

the ordered pair (0,1) is a solution of the inequality

<u>case e)</u> (4,-12)

Substitute the value of x and y in the inequality

-12>-2*4-4

-12>-12 ------> is False

therefore

the ordered pair (4,-12) is not a solution of the inequality

<u>Verify</u>

using a graphing tool

see the attached figure

the solution is the shaded  area above the line

The points A,C, and D lies on the shaded area, therefore the ordered pairs A,C, and D are solution of the inequality


7 0
4 years ago
Read 2 more answers
2/8×7<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B8%7D%20%20%5Ctimes%207" id="TexFormula1" title=" \frac{2}{8} \ti
trasher [3.6K]

Answer:

1 3/4

Step-by-step explanation:

2/8 * 7

2/8 will simplify

Divide the top and bottom by 2

12/8 = 1/4

1/4*7

7/4

We need to change this from an improper fraction to a mixed number

4 goes into 7  once with 3 left over

1 3/4

7 0
3 years ago
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