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omeli [17]
3 years ago
6

Rewrite the following equation x(x)-14x+24=y in vertex form. What is the vertex?

Mathematics
1 answer:
Juliette [100K]3 years ago
8 0

Step-by-step explanation:

y = x² − 14x + 24

To convert to vertex form, complete the square.  Take half of the second coefficient, square it, then add the result to both sides.

(-14/2)² = 49

y + 49 = x² − 14x + 49 + 24

y + 49 = (x − 7)² + 24

y = (x − 7)² − 25

The vertex is (7, -25).

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3. y = -2x + 3

4. y = -2x - 3

Step-by-step explanation:

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16. What statement can be made about the distance between the vertices of a triangle and the circumcenter?
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O the circumcenter is equidistant to all three vertices

Step-by-step explanation:

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2.(08.04 MC)
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Read 2 more answers
Jackson sells toolboxes for farming tools. He plans on selling them during a fair this weekend. Jackson estimates he will sell t
Nataly [62]

The linear equation for the given situation is represented as:

20x + 12y = 1,300

correct answer option: b

<h3>What is a linear equation with two variables?</h3>

A general linear equation in two variables is defined as an equation of the form ax + by + c = 0, where x and y are the two variables and a, b, and c are real numbers and a and b are non-zero (x and y).

Given:

We use variables to represent the cost of the big and the smaller boxes.

According to the question, let x be the selling price of the big boxes.

The selling price of the bigger boxes is y.

The total selling price of the smaller boxes is 20x.

The total selling price of the bigger ones is 12y.

Now we know he is making a profit of $1,300 on the total transaction.

Hence the linear equation in two variables for the given situation is represented as:

20x + 12y = 1,300

To learn more about linear equations in two variables visit:

brainly.com/question/24085666

#SPJ4

I understand that the question you are looking for is:

Jackson sells two types of toolboxes. he plans on selling them during a farming fair this weekend. He estimates he will sell 20 of the smaller boxes (X) and 12 of the larger boxes (Y). if he'd like the profit to be $1300, which of the following best displays the equation that represents this information?

A-  y+12=20(x-1300)

B-  y=- \frac{5}{3}x+ \frac{325}{3}

C-  20x+12y=1300

D-  12y=20x-1300

6 0
1 year ago
Which of the x-values satisfy the following inequality?
Vinil7 [7]

Answer:

c. x=3

Step-by-step explanation:

Given:

7x < 21

Divide both sides by 7

7x / 7 < 21 / 7

x < 21/7

x < 3

x = 3

Check:

7x < 21

7(3) < 21

21 = 21

5 0
2 years ago
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