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Montano1993 [528]
3 years ago
14

Given that f(x) =3x^2 - 6x + 11 ,find the values of a,b and c for which f(x) = a(x - b)^2 + c

Mathematics
1 answer:
V125BC [204]3 years ago
3 0
First you have to complete the square. The first step would be 3x^2-6x=-11. Then you divide -6 by 2 and square the number you get. 3x^2-6x+9=-11+9. 3x^2-6x+9=-2. Factor out the three to get 3(x^2-2x+3)=-2. You can't factor what is in the parenthesis. You should then add two to each side. 3(x^2-2x+3)+2.A = 3B= I don't knowC = 2
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Gnoma [55]

Answer:

They should purchase the snack with the purple box. This is the answer for 23, i don't know what 24 is sorry.

Step-by-step explanation:

24÷3=8

8×5=40

so the first snacks would cost them $40.

then:

24÷4=6

6×6=36

so the second snacks would cost them $36

5 0
3 years ago
If $5,000 is borrowed with an interest of 12.3% compounded semi-annually, what is the total amount of money needed to pay it bac
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Answer:

$7153.03

Step-by-step explanation:

To find the total amount after 3 years, we can use the formula for compound tax:

P = Po * (1+r/n)^(t*n)

where P is the final value, Po is the inicial value, r is the rate, t is the amount of time and n depends on how the tax is compounded (in this case, it is semi-annually, so n = 2)

For our problem, we have that Po = 5000, r = 12.3% = 0.123, t = 3 years and n = 2, then we can calculate P:

P = 5000 * (1 + 0.123/2)^(3*2)

P = 5000 * (1 + 0.0615)^6

P = $7153.029

Rounding to the nearest cent, we have P = $7153.03

3 0
3 years ago
There are 4 times as many used cars in the car dealership lot as there as new cars. There are 120 cars total in the dealership l
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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