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zubka84 [21]
2 years ago
9

Use Completing the Square to convert from Standard Form to Vertex Form y=x2 – 8x + 14

Mathematics
1 answer:
Leno4ka [110]2 years ago
8 0

Answer:

(x - 4)^2 - 2

Step-by-step explanation:

Step 1: Make sure the coefficient of x^2 is 1

1 [x^2 - 8x + 14]

Step 2: Express the coefficient 8x as (8x multiplied by 1/2) the express the answer as two half's positive and negative squared

1 [x^2 - 8x + (-4)^2 - (-4)^2 + 14]

Step 3: Separate the function into two parts from the negative of the coefficient of 8x (4) solve the part then factorise the other part

1 [ ( x - 4 )^2 - 2 ]

Step 4: Distribute the factor (1)

(x + 4)^2 - 2

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The difference between the most hours of sleep and the least of these students was 2.5 hours. True or false?​
SashulF [63]

The correct anwer is False

Explanation

According to the graph, it can be seen that a student has four hours of sleep as the minimum number of hours of sleep; two students have six hours of sleep, four students have six and a half hours of sleep, four have seven hours of sleep, three have seven and a half hours of sleep, five have eight hours of sleep, and one has eight and a half hours of sleep as maximum hours of sleep. Therefore, it can be affirmed that the statement that the difference between the maximum amount and the minimum number of hours is two and a half hours is false because between four hours and eight and a half hours there are four and a half hours of difference. So, the correct answer is False.

8 0
3 years ago
An investor obtains a balloon mortgage with the terms shown below.
Flauer [41]

9514 1404 393

Answer:

  a.  $3,455.20

Step-by-step explanation:

The monthly payment is given by the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

for loan amount P at annual rate r for t years.

For this mortgage, we use P = $530,000, r = 0.068, t = 30.

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The monthly payment is $3,455.20.

_____

<em>Additional comment</em>

In 7 years, the balloon payment will be $481,559.91.

6 0
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Hope This Helps!!!

8 0
3 years ago
Read 2 more answers
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