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denpristay [2]
3 years ago
10

Which statement best describes the graph of 2x−5y=−252x-5y=-25 and the graph of y=52x+5y=52x+5?

Mathematics
1 answer:
miv72 [106K]3 years ago
6 0
To easily compare the two linear equations just by looking at the equation, let's rearrange this into the slope-intercept formula: y = mx + b, where m is the slope and b is the y-intercept.

2x - 5y = -25
(-5y = -25x - 2x)-1
5y = 25/5 +2x/5
y = (2/5)x + 5
Thus, the slope is 2/5 and the y-intercept is 5.

y=52x + 5
The slope is 52 and the y-intercept is 5.

Thus, we can say that the two linear equations have the same y-intercept. This is the point in the y=-axis in which the two lines intersect. They must intersect at (0,5).
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(-3,-2)

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4 0
3 years ago
Find the federal income tax of a married couple with two children, who have a combined income of $100,000.
Galina-37 [17]

Answer:

 $9,937.50

Step-by-step explanation:

Given

Total income of a married couple = $100,000

Number of children the couple has = 2

The taxable income of the family can be calculated by

Taxable income = total income - exemption deduction - standard deduction

We know that the exemption deduction for a married couple with two children as fixed by the U.S. government is $15,600.

And the standard deduction for a married couple with two children as fixed by the U.S. government is $12,200.

Thus the taxable income can be calculated by

Taxable income = total income - exemption deduction - standard deduction

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So the taxable income is $72,200.

Now if the taxable income is in the range between

$17,850 to $72,500, the tax is $1,785 plus the marginal rate of 15% of the amount of $72,200 that is over $17,850.

Now in order to calculate tax ---

add $1,785 plus the marginal rate of 15% of the amount of $72,200 that is over $17,850.

Now deducting $17,850 from $72,200 will give $54,350.

So 15% of $54,350 is $8152.50

Therefore add $1,785 and $8,152.50 = $9,937.50

Therefore the tax payed by the couple is $9,937.50

7 0
4 years ago
Use the binomial squares pattern to multiply (6u3−v)2.
katrin2010 [14]

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 36u^6-12u^3v + v^2

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

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