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Lesechka [4]
3 years ago
12

Write the quadratic equation y= x^2 -6x = 7 in vertex form.

Mathematics
1 answer:
lapo4ka [179]3 years ago
7 0

Answer:

(x - 3)² - 16 = 0

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Subtract 7 from both sides

x² - 6x + 7 = 0 ← in standard form

with a = 1, b = - 6

Given a quadratic in standard form then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a} = - \frac{-6}{2} = 3

Substitute x = 3 into the equation for y

y = 3² - 6(3) - 7 = 9 - 18 - 7 = - 16 ⇒ (h, k) = (3, - 16)

y = (x - 3)² - 16 = 0

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I need help with this plz
Ksju [112]

Answer:

The correct answer is D. 10.

Step-by-step explanation:

If Brandy earns 2 stars for every goal, and she scored 8 goals, then we need to multiply 8 by 2.

8 x 2 = 16

She looses 1/2 a star for every miss, and she missed the goal 12 times. Therefore, we need to multiply 1/2 by 12.

12 x 1/2 = 6

Therefore, Brandy lost 6 stars.

Now, we need to subtract the amount of stars Brandy earned by the amount that she lost.

16 - 6 = 10

Therefore, the correct answer is D. 10.

Hope this helps! :D

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3 years ago
Jules wants to put a fence around his backyard. What is the perimeter of his backyard?​
lions [1.4K]
I need more information to solve.
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3 years ago
Divide. PLEASE HELP ME 312÷37
seraphim [82]

Answer:

since, hcf(312, 37) = 1

therefore, the answer will come in decimal form.

i.e., 8.4324324324

5 0
4 years ago
If your playing a game and get 15 coins 30 minutes. How many coins will you get in 1 hour and 40 minutes?
Arisa [49]

Answer:

You would get 50 coins in that time.

Step-by-step explanation:

To find this, we first need to find the unit rate. We can get that by dividing the amount of coins by the amount of time.

15 coins/ 30 mins = .5 coins per minute.

Now, we have 100 minutes in the second part of the problem, so we multiply the rate by that amount of time.

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aleksley [76]

Answer:

20 percent

Step-by-step explanation:

Total number of pieces in a puzzle = 500

No. of pieces in first container = 220

No. of pieces in second container = 180

Let no. of pieces in the third container  be x.

We get,

220+180+x=500

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400+x=500

On transposing 400 to RHS, we get

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4 years ago
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