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saul85 [17]
3 years ago
12

Which expression is the simplest form of 3(2x + y) + 4(x - 4y) + x2?

Mathematics
2 answers:
g100num [7]3 years ago
7 0

Answer:

x^2 +  10x - 13y.

Step-by-step explanation:

3(2x + y) + 4(x - 4y) + x^2   First apply the Distributive law to the parentheses:

= 6x + 3y + 4x - 16y + x^2  Now add like terms:

= 10x - 13y + x^2.

Elan Coil [88]3 years ago
7 0

Which expression is the simplest form of 3(2x+y)+4(x-4y)+x^{2}?

Answer:

x^{2}-13y+10x

Step-by-step explanation:

3(2x+y)+4(x-4y)+x^{2}

6x+3y+4x-16y+x^{2}

x^{2}-13y+10x

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8.75

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Pls help me with this question. Thank you!
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Jan plans on running 2,340 miles this year. She plans to run the same number of miles each week. There are 52 weeks in a year.Ho
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How would I do the steps to solve this?
allsm [11]

Answer:

The maximum revenue is 16000 dollars (at p = 40)

Step-by-step explanation:

One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.

Given function is:

R(p) = -10p^2+800p

Taking derivative wrt p

\frac{d}{dp} (R(p) = \frac{d}{dp} (-10p^2+800p)\\R'(p) = -10 \frac{d}{dp} (p^2) +800 \ frac{d}{dp}(p)\\R'(p) = -10 (2p) +800(1)\\R'(p) = -20p+800\\

Now putting R'(p) = 0

-20p+800 = 0\\-20p = -800\\\frac{-20p}{-20} = \frac{-800}{-20}\\p = 40

As p is is positive and the second derivative is -20, the function will have maximum value at p = 40

Putting p=40 in function

R(40) = -10(40)^2 +800(40)\\= -10(1600) + 32000\\=-16000+32000\\=16000

The maximum revenue is 16000 dollars (at p = 40)

3 0
2 years ago
Erwin earns $ 2 , 100 per month. Her deductions amount to 26 % of her paycheck. How much does Erwin take home each month?
Sergeu [11.5K]

Answer:

Credit ⇒ 45

Debit ⇒ $30

Step-by-step explanation:

Credit = $45

Debit = $30

When an account balance increases it means that it has been credited and when it decreases, it has been debited.

The beginning balance here is $0 and the closing balance is $15.

There were 2 transactions, one credit and one debit.

For the closing balance to be $15, the Credit amount must have been $15 more than the Debit amount.

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