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Luden [163]
1 year ago
13

14 What are the solutions to the equation 3(x − 4)² = 27?

Mathematics
1 answer:
Marat540 [252]1 year ago
4 0

Answer:

(1) 1 and 7

Step-by-step explanation:

Hello!

We can solve by isolating the variable.

<h3>Solve</h3>
  • 3(x - 4)² = 27
  • (x - 4)² = 9
  • √(x - 4)² = √9
  • (x - 4) = ± 3
  • x = 4 ± 3

There are two solutions, 1 and 7.

The answer is option 1: x = 7, x = 1.

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1. Ted found out that the rebate is not given until after he has
nadezda [96]

9514 1404 393

Answer:

  maybe not

Step-by-step explanation:

Consider a couple of scenarios for a $20,000 car purchase and a $2000 rebate, with sales tax at 10%.

1) The rebate is applied directly to the purchase price.

  Taxable amount: $20,000 -2,000 = $18,000.

  Price with tax: $18,000 × 1.10 = $19,800

  Amount financed: $19,800.

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2) The rebate is given after the sale is complete.

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  Amount financed: $22,000

  Remaining loan balance if $2000 rebate is immediately applied to the loan: $22,000 -$2000 = $20,000

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If the loan is for 5 years at 3%, the payments and total costs are ...

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     total cost of loan: 60×355.78 = 21,346.80

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We have assumed certain tax and payment scenarios. If tax is not an issue, and if the loan terms are such that the rebate can be applied immediately to the loan amount, then <em>there may be no difference in total cost</em>, or the delayed rebate may result in a <em>lower</em> total cost due to the higher monthly payment.

7 0
2 years ago
How do I solve 2x+3y=7, x-y=1
Fittoniya [83]
<span>2x+3y=7
x-y=1

</span>2x+3y=7
x=1+y

2*(1+y)+3y=7
x=1+y

2+2y+3y=7
x=1+y

5y=5       |(:5)
x=1+y

y=1
x=2

CHECK:
2x+3y=7
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2*2 + 3*1 = 7     

x-y = 1
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5 0
3 years ago
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yanalaym [24]

Answer:

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In the options given, there is just one equation that have 15 multipling x, so that must be the answer

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