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Pavel [41]
3 years ago
9

Find the difference. (4m^2 - m+2) - (-3m^2+ 10m + 4) =(

Mathematics
1 answer:
poizon [28]3 years ago
5 0
<h2><u>Answer:</u></h2>

7m^2 - 11m - 2

<h2><u>Step-by-step explanation:</u></h2>

Distribute the negative.

4m^2 - m + 2 + 3m^2 - 10m - 4 = ?

Now, add the like terms.

4m^2 + 3m^2 = 7m^2

-m + (-10m) = -11m

2 + (-4) = -2

7m^2 - 11m - 2

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Using the percentage concept, it is found that 40% of Alberto’s income is used to pay for his rent and groceries.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

P = \frac{a}{b} \times 100\%

In this problem:

  • Alberto’s monthly income is $3,200, hence b = 3200.
  • He spends 896 + 384 = $1280 in rent and groceries, hence a = 1280.

Then, the percentage is given by:

P = \frac{1280}{3200} \times 100\% = 40\%

More can be learned about the percentage concept at brainly.com/question/10491646

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What does this equal?? Order of operations with integers
wolverine [178]
Follow the order of operations. PEMDAS. Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. Let's start with parenthesis. First we so everything inside the parenthesis. So the first thing we do, is exponents, 2 x 2 = 4. Now the top equation is 3 x 4 - 23. Next thing in the order of operations, is Multiplication. So now we do 3 x 4. Which equals 12. Now the top equation is 10 - 12 - 23. Now we do Subtraction in order. First 10 - 12 = negative 2 (-2) Then we do -2 - 23 which equals negative 25 (-25). Now let's work on the bottom equation. Once again follow the order of operations. We do the exponents in the parenthesis first. 10 x 10 = 100. Then do the rest in the parenthesis, 1 + 100 = 101. Now the exponents in the outside of the parenthesis. - 2 x - 2 = 4. And 5 x 5 = 25. Then we do Multiplication, 4 x 25, which equals 100. Then we do 101 - 100 = 1. Then we reduce the fraction. -25/1 = -25. Therefore the answer to your problem is -25. I apologize for taking so long to write this. Hope this helps though!

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3 years ago
A quadtratic equation that has x intercepts of -8,0 and 2,0 and has a vertical stretch of 3
Paladinen [302]

Answer:

f(x) = 3(x + 8)(x - 2)

Step-by-step explanation:

The intercept form of a quadratic function is y = a(x - r)(x - s), where r and s are the x-intercepts and a is the vertical stretch/compression factor.

If the intercepts are at (-8, 0) and (2, 0), and the vertical stretch is 3, just substitute these values into the intercept form formula, and you're done!

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