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Flura [38]
3 years ago
11

Show work, and find the product. −4x5(11x3+2x2+9x+1)

Mathematics
1 answer:
Dvinal [7]3 years ago
6 0

Answer:

-44x⁸–8x⁷–36x⁶–4x⁵

Step-by-step explanation:

  • when you expand problems like these you need to multiple the number in front of the variable the the other numbers in front of the variables and add the exponents
  • like this
  • -4•11= -44 | 5+3=8 I -44x⁸
  • -4•2= -8 | 2+5=7 | -8x⁷
  • -4•9= -36 | 1+5=6 | -36x⁶
  • -4•1= -4 | 0+5=5 | -4x⁵
  • put it all together and you get -44x⁸–8x⁷–36x⁶–4x⁵

if my explanation is confusing I'm sorry feel free to ask questions

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<em><u>Question:</u></em>

At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $43.00. Tori bought two pairs of gloves and two hats for $30.00. What were the prices for the gloves and hats?

<em><u>Answer:</u></em>

Price of one pair of gloves is $ 8.5 and price of 1 hat is $ 6.5

<em><u>Solution:</u></em>

Let "g" be the price of one pair of gloves

Let "h" be the price of 1 hat

<em><u>Cody bought 2 pair of gloves and 4 hats for $43</u></em>

Therefore, we frame a equation as:

2 x price of one pair of gloves + 4 x price of 1 hat = 43

2 \times g + 4 \times h = 43

2g + 4h = 43 ----------- eqn 1

<em><u>Tori bought two pairs of gloves and two hats for $30.00</u></em>

Therefore, we frame a equation as:

2 x price of one pair of gloves + 2 x price of 1 hat = 30

2 \times g + 2 \times h = 30

2g + 2h = 30

Divide by 2

g + h = 15

g = 15 - h ----------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Substitute eqn 2 in eqn 1</u></em>

2(15 - h) + 4h = 43

30 - 2h + 4h = 43

2h = 43 - 30

2h = 13

<h3>h = 6.5</h3>

<em><u>Substitute h = 6.5 in eqn 2</u></em>

g = 15 - 6.5

<h3>g = 8.5</h3>

Thus price of one pair of gloves is $ 8.5 and price of 1 hat is $ 6.5

6 0
3 years ago
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