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Natali [406]
3 years ago
5

Find the original price of a fitness watch that is $105 after a 30% discount

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
3 0

Answer:

$73.5

Step-by-step explanation:

$105=100%

To get 10% divide by 10

$10.5=10%

To get thirty percentage multiply by 3

$10.5 x 3=$31.5

%31.5= 30%

$105-$31.5=$73.5

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If f(x) = 4x^3 + Ax^2 + 7x - 1 and f(2) = 3, what is the value of A?<br> (^ = powers)
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Answer:

A = -10.5

Step-by-step explanation:

To find the value of "A", you can plug x = 2 and f(x) = 3 into the equation. This will allow you to simplify and find the value of "A".

f(x) = 4x³ + Ax² + 7x - 1                     <---- Original equation

3 = 4(2)³ + A(2)² + 7(2) - 1                 <---- Plug x = 2 and f(x) = 3 into equation

3 = 4(8) + A(4) + 14 - 1                      <---- Solve 2³ and 2²

3 = 32 + A(4) + 14 - 1                        <---- Multiply 4 and 8

3 = 45 + A(4)                                    <---- Combine like terms

-42 = A(4)                                         <---- Subtract 45 from both sides

-10.5 = A                                         <---- Divide by 4

If A = -10.5, the final equation would look like this:

f(x) = 4x³ - 10.5x² + 7x - 1

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