Write "P (x) = -36x^2 + 900x - 1584" in standard vertex form, help please!

Answers

Answer 1

Answer: y = a(x – h)2 + k, where (h, k) is the vertex;

in our case, P(x) = a $(x + b/2a)^(2) -$ Δ/4a ;

a = -36; b = 900; c = -1584;

b/2a = 900/-72 = -12.5;

Δ = $b^(2) -$ 4ac = 810000 - 144*1584 = 581904 => -Δ/4a = 4041;

P(x) = (-36)(x - 12.5)^2 + 4041, where (12.5 , 4041) is the vertex;

Answer 2

Answer:

Answer:

y = a(x – h)2 + k, where (h, k) is the vertex;

in our case, P(x) = a Δ/4a ;

a = -36; b = 900; c = -1584;

b/2a = 900/-72 = -12.5;

Δ = 4ac = 810000 - 144*1584 = 581904 => -Δ/4a = 4041;

P(x) = (-36)(x - 12.5)^2 + 4041, where (12.5 , 4041) is the vertex;

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Find the volume of the cylinder shown below.12 cm the radius
13 cm the height

Use 3.14 or the calculator value for pi and provide an answer accurate
to the nearest tenth.

Answers

The volume of a cylinder is calculated using the following formula:

```

Volume = π * radius^2 * height

```

π (pi) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is approximately equal to 3.14.

In this case, the radius of the cylinder is 12 cm and the height of the cylinder is 13 cm. Substituting these values into the formula, we get:

```

Volume = 3.14 * 12^2 * 13

```

Volume = 5881.1 cubic centimeters

```

**Answer:**

The volume of the cylinder is **5881.1 cubic centimeters**.

What is 4x plus 12y equal 48

Answers

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Find the value of x that makes this a true statement (1/27)^x=3

Answers

Answer:

x = -1/3

Step-by-step explanation:

Given

(1/27)^x=3

Solving for x

(1/27)^x=3
(1/3)^3x = 3
3^-3x = 3^1
-3x = 1
x = -1/3

Which department of a company manages functions such as recruitment, promotions, payroll, and performance appraisals?The
__________ department of a company manages functions such as recruitment, promotions, payroll, and performance appraisals.

Answers

Answer:

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Step-by-step explanation:

One root of the quadratic equation x^2 − 2x + m = 0 is 9. If the other root is n, what is n−m?

Answers

$9^2-2*9+m=0\n \n 81-18+m=0\n \n m=-63$

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A social worker earns $760 gross pay. If he is married and claims 1 dependent, his state tax rate is 7%, and FICA is 7.65%, what is his net
pay?

Answers

I believe the net pay is $648.66.
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$760×0.0765 for FICA= 58.14
(7.65÷100=0.0765)
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