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2 years ago

Which coordinate is a solution to the inequality

Mathematics

1 answer:

Virty [35]2 years ago

4 0

Answer:

C) (3 , 2)

Step-by-step explanation:

y is greater than 2x - 7.

Note the point values (x , y). y, in this case, must be greater than x after it is simplified.

(3 , -2)

Plug in 3 for x, and -2 for y:

(-2) > 2(3) - 7

-2 > 6 - 7

-2 > -1

(False).

(4 , 1)

Plug in 4 for x, and 1 for y:

(1) > 2(4) - 7

1 > 8 - 7

1 > 1

(False).

(3 , 2)

Plug in 3 for x, and 2 for y:

(2) > 2(3) - 7

(2) > 6 - 7

2 > 1

(True).

∴ C) (3 , 2) is your answer.

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3 years ago

In 1995, the federal government paid off one-third

SSSSS [86.1K]

The expression that represents the amount that was not paid off is $\text { Debt amount that was not paid off }=\text { original amount of debt }- \frac{1}{3}\text { of original amount of debt }$

<u>Solution:</u>

Given, In 1995, the federal government paid off one-third of its debt. If the original amount of the debt was $ 4.920,000,000,000

We have to find which expression represents the amount that was not paid off

Now, we know that, amount that is not paid off = total debt – paid amount

$\text { Debt amount that is not paid off }=\text { original amount of debt }-\frac{1}{3}\text { of original amount of debt }$

$\begin{array}{l}{=\text { original amount of debt }\left(1-\frac{1}{3}\right)} \\\\ {=\text { original amount of debt } \times \frac{3-1}{3}} \\\\ {=4,920,000,000,000 \times \frac{2}{3}} \\\\ {=1,640,000,000,000 \times 2=3,280,000,000,000}\end{array}$

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3 years ago

The sum of the first and third of three consecutive even integers is 154. Find the three even integers.

topjm [15]

X + (x+2) = 154
combine like terms
2x + 2 = 154
subtract 2
2x = 154
divide by 2
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so the two numbers are 76 and 78

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3 years ago

Triangle PQR has vertices at the following coordinates: P(0, 1), Q(3, 2), and R(5, -4). Determine whether or not triangle PQR is

sweet-ann [11.9K]

The answer is yes, and I will give you the calculation soon

PQ= $\sqrt{3^{2} +1^{2} }$ = $\sqrt{10}$
QR= $\sqrt{ 2^{2} + 6^{2} } =2 \sqrt{10}$
PR= $\sqrt{ 5^{2} + 5^{2} } =5 \sqrt{2}$

$\sqrt{10} ^{2} + (2\sqrt{10}) ^{2} =(5 \sqrt{2} )^{2}$

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3 years ago

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Which coordinate is a solution to the inequality​

Which coordinate is a solution to the inequality