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disa [49]
1 year ago
13

Is the point (3 , 2) a solution to the following system of equations?

Mathematics
1 answer:
maw [93]1 year ago
8 0

ANSWER

It is not a solution.

EXPLANATION

To find if the point is a solution to the system of equations, we have to replace the values of x and y with 3 and 2 respectively in both equations.

If the solution satisfies both equations, then, it is a solution of the system of equations.

We have:

2 = 4(3) - 10

2 = 12 - 10

2 = 2

Since both sides are equal, it is a solution of the equation.

2 = 3(3) - 6

2 = 9 - 6

2 = 3

Since both sides are not equal, it is not a solution of the equation.

Therefore, the point (3, 2) is not a solution to the system of equations because it is not a solution of both equations.

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8. Use the information below about an example company to calculate the financial ratios below.
11Alexandr11 [23.1K]
<span>Given:
Net profit before tax = $208,000
Total equity = $500,000
Total assets = $330,000
Total liabilities = $150,000
Current assets = $64,000
Current liabilities= $45,000

Return on Equity = Net Income / Shareholder's equity = 208,000 / 500,000 = 0.416 or 41.6%.

Return on Assets = Net Income / Total Assets = 208,000 / 330,000 = 0.63 or 63%

Debt ratio = Total Liabilities / Total Assets = 150,000 / 330,000 = 0.4545 or 45.45%

Debt to equity ratio = Total liabilities / Total Equity = 150,000 / 500,000 = 0.30 or 30%

Current ratio = Current Assets / Current Liabilities = 64,000 / 45,000 = 1.42</span>
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3 years ago
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Answer:

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What is the rule for finding the coordinates of an image reflected over the line y=-x
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What you do is you, put in the letter x and then put what y is equal to in the second box. You plug in any number for x and you solve in order to find the y coordinate. Once you do, for example for plugging in -1 into x you get 1. So your coordinate would be (-1,1).

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How many cups of flour are needed if we increase the recipe by 50%?
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Find the value of x and y. Show all your work neat and<br> in order.
Mazyrski [523]

Answer:

x = 21°

y = 29°

Step-by-step explanation:

a) Solving for x

Note that:

(3x - 3)° and 60° are Alternate interior angles, and alternate interior angles are equal to each other, hence:

3x - 3 = 60° (Alternate interior angles)

Add 3 to both sides

3x - 3 +3 = 60 + 3

3x = 63°

x = 63°/3

x = 21°

b) Solving for y

Notes that:

(3x - 3)° and (4y + 4)° are Consecutive interior angles and the sum consecutive interior angles is 180°

3x - 3 + 4y + 4 = 180°

3x + 4y - 3 + 4 = 180°

3x + 4y + 1 = 180°

Note that x = 21

Hence

3(21) + 4y + 1 = 180°

63 + 1 + 4y = 180°

64 + 4y = 180°

Subtract 64 from both sides

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4y = 116°

y = 116/4

y => 29°

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