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Radda [10]
3 years ago
13

What is the vertex form of Y = x2 - 6x + 6?

Mathematics
1 answer:
ahrayia [7]3 years ago
7 0

Answer:

\large\boxed{y=(x-3)^2-3}

Step-by-step explanation:

The vertex form of a quadratic equation <em>y = ax² + bx + c:</em>

<em>y = a(x - h)² + k</em>

(h, k) - coordinates of a vertex

We have the equation <em>y = x² - 6x + 6</em>.

Convert to the vertex form:

y=x^2-2(x)(3)+6\\\\y=\underbrace{x^2-2(x)(3)+3^2}_{(*)}-3^2+6\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\qquad(*)\\\\y=(x-3)^2-9+6\\\\y=(x-3)^2-3\to h=3,\ k=-3

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Dean sot a goal to do more than 900 push-ups this month. So far, he has done 230 push-ups, and there are 20 more days remaining
vampirchik [111]

Step-by-step explanation:

he has 900-230 = 670 more push-ups to do in the remaining 20 days.

so, he has to do every day

670/20 = 67/2 = 33.5 push-ups.

fractions of push-ups don't make sense.

we cannot say, he has to do at least 33 per day, because then he might come short in the end (if he sticks to the low limit) .

so, we have to say he has to do more than 33 or at least 34 push-ups per day to be sure he will at least reach his goal.

p > 33

or

p >= 34

both should be correct in the context of using only whole numbers.

bur in case of doubt I would pick p >= 34.

5 0
2 years ago
Solve the initial value problem. 7y′−4y=e−πt2, y(0)=a Let a0 be the value of a for which the transition from one type of long-ru
densk [106]

Answer:

as shown in the attached file

Step-by-step explanation:

The detailed steps and application of differential equation, the use of integrating factor to generate the solution and to solve for the initial value problem is as shown in the attached file.

8 0
3 years ago
The best recruitment source, that is, one which tends to result in attracting employees who experience greater loyalty, tenure,
Anna11 [10]

Answer:

The best recruitment source, that is, one which tends to result in attracting employees who experience greater loyalty, tenure, and job satisfaction than other recruiting sources,is **referrals from current employees**

Step-by-step explanation:

This is an HR question.

Referrals given to potential employees by current employees refer to the glowing references about the firm provided by those current employees to the potential employees.

The best set of people to talk about work conditions, pay, etc., at a workplace are the actual workers of that workplace.

Whenever they provide such privy information to a potential employee, it leaves no massive room for unpleasant surprises when the potential employee takes the job. The referrals basically groin the employee for the the best and the worst of such a workplace, that even qualified personnel, before taking up jobs, like to speak to current employees of that firm.

In HR, there's the popular saying that a firm is as good as the way they treat their employees.

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Hope this Helps!!!

6 0
3 years ago
James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have bud
ddd [48]

Answer: See Below

Step-by-step explanation:

Create the equation:

$34 times the number of people plus the $50 cleaning fee has to be less than or equal to $3500

Or

34p + 50 <= 3500

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7 0
3 years ago
Someone help me out my math grads are bad
agasfer [191]

Answer:

15m^2

Step-by-step explanation:

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<em>Feel free to mark as brainliest :D</em>

7 0
3 years ago
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