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qwelly [4]
3 years ago
14

Complete the square to rewrite the equation in the form (x−h)2=p.

Mathematics
1 answer:
Aloiza [94]3 years ago
7 0

Answer:

The answer to your question is  the last option  (x + 6)² = 13

Step-by-step explanation:

Data

                             x² + 12x + 23 = 0

Process

1.- Subtract 23 in both sides

                           x² + 12x + 23 - 23 = -23

2.- Simplify

                          x² + 12x + (     )   = - 23

3.- Complete the perfect square trinomial

                         x² + 12x + (6)² = -23 + (6)²

4.- Factor

                         (x + 6)² = -23 + (6)²

5.- Simplify

                         (x + 6)² = -23 + 36

6.- Result

                        (x + 6)² = 13                              

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How much money will you have if you started with $1200 and put it in an account that earned 7.3% every year for 10 years?
andrezito [222]
So an exponential equation is gonna be used for this problem. The formula for such is y=ab^x , in which the a variable is the initial value and the b variable is the growth/decay rate.

For this situation, 1200 is gonna be your a variable since you've started out with it. And as for your b variable, its gonna be 107.3%, or 1.073, since it's increasing.

Your equation should look like this: y=1200(1.073)^x and from here just plug in 10 into the x variable and solve.

Multiply (1.073)^10 (don't round answers until the end), and take that answer and multiply it with 1200, your answer should be $2427.61.

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8 0
3 years ago
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Answer:

7 hours

Step-by-step explanation:

We are given that

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