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Ugo [173]
3 years ago
8

What is the vertex of the graph of the function below?

Mathematics
1 answer:
inna [77]3 years ago
8 0

Answer:

D. (4, -4)

Step-by-step explanation:

Convert to vertex form by completing the square.

For a polynomial y = x² + bx + c, first add and subtract (b/2)² to the polynomial.  Then factor.

Here, b = -8.  So (b/2)² = (-8/2)² = 16.

y = x² − 8x + 12

y = x²− 8x + 16 − 16 + 12

y = (x − 4)² − 16 + 12

y = (x − 4)² − 4

The vertex is (4, -4).

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\frac{x+7}{5}

Step-by-step explanation:

Add 7 to x gives x + 7 then divide this by 5, that is

\frac{x+7}{5}

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Question 2: You want to donate 30% of the $400 earned at your yard sale to
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Answer:

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Step-by-step explanation:

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3 years ago
Latanya and George
tekilochka [14]

Question is Incomplete, Complete question is given below.

Latanya and George are saving up money because they both want to buy new bicycles. Latanya opened a savings account with $50. She just got a job and is determined to save an additional $30 a week. George started a savings account with $75. He is able to save $25 a week. Find the time (in weeks) when Latanya and George will have the same amount of money in their savings accounts.

Answer:

Latanya and George will have same amount after 5 weeks.

Step-by-step explanation:

Given:

Opening Amount in account of Latanya = $50

Amount deposited every week = $30

Let number of week be 'w'.

Total Amount in Latanya  savings account will be equal to Opening Amount plus Amount deposited every week multiplied by number of week.

framing in equation form we get;

Total Amount in Latanya  savings account = 50+30w

Also Given:

Opening Amount in account of George = $75

Amount deposited every week = $25

Let number of week be 'w'.

Total Amount in George  savings account will be equal to Opening Amount plus Amount deposited every week multiplied by number of week.

framing in equation form we get;

Total Amount in George savings account = 75+25w

Now we need to number of week when both will have same amount.

Now to find number of week when both will have same amount we need to make both the equation same we get;

50+30w = 75+25w\\\\30w-25w = 75-50\\\\5w=25\\\\w=\frac{25}{5}=5

Hence Latanya and George will have same amount after 5 weeks.

8 0
2 years ago
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