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Viefleur [7K]
3 years ago
6

For the given quadratic equation convert into vertex form, find the vertex, and find

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

Answer:x=6 y=-58

Step-by-step explanation:I hope i help you,have a nice day.

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ind the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.
vivado [14]

Answer:

1+√2, 1-√2

Step-by-step explanation:

Since there are 2 factors with an y in the expression, i will assume that there was a mistake in the question and in fact the first term was y³. With that change, we will have that

g(y) = y³-3y²-3y+9

In order to find the critical numbers of g we need to derivate it and equalize the derivate to 0. We can easily derivate g since it is a polynomial:

g'(y) = 3y² - 6y-3

Since g'(y) is a quadratic function, we can obtain the zeros using the quadratic formula, where a = 3, b = -6 and c = -3:

r_1 , r_2 = \frac{6 \, ^+_- \, \sqrt{(-6)^2 - 4 * 3 * (-3)} }{2 * 3} = \frac{6 \, ^+_- \, \sqrt{72}}{6} = 1 \, ^+_- \, \sqrt{2}

Thus

r_1 = 1 + \sqrt 2\\r_2 = 1- \sqrt 2

Therefore, the critical numbers of g are 1+√2 and 1-√2.

I beleive that the problem just ask for that. If you want the critical values, then we need to evaluate those numbers in g. i will do it just in case

g(1 + √2) = (1+√2)³ - 3(1+√2) - 3(1+√2) + 9 = -1.65685

g(1- √2) = (1-√2)³ - 3(1-√2)² -3(1-√2)+9 = 9.6566

5 0
3 years ago
Find a possible formula for the trigonometric function represented by the given table of values. (enter your answer in the form
uranmaximum [27]

A function assigns the values. The function will be 8cos(2x-π)+4.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.


Given the maximum value is 12, while the minimum value is -4, therefore,

A = (Max-Min)/2 = 12-(-4)/2 = 8

D = (Max+Min)/2 = (12-4)/2 = 4

Period=π, but since x =-4 at 0 or π, therefore,

(2π/B) = π

B = 2π/π = 2

C/B = π/2, {∴At π/2 maximum}

C=π

Hence, the function will be 8cos(2x-π)+4.

Learn more about Function:

brainly.com/question/5245372

#SPJ4

8 0
2 years ago
What is the volume of this right rectangular prism enter your answer in the box 3.5ft 2ft 7ft
Sophie [7]

Answer:

49 cubic feet

Step-by-step explanation:

5 0
3 years ago
The two polygons are similar. Find the values of x and y.<br> Please help, i will mark brainliest
Virty [35]

Answer:

X IS 24 AND Y IS 38

Step-by-step explanation:

7 0
3 years ago
If a new jacket sells for $30, find the total cost if you were charged 5% sales tax. Round your answer to the nearest cent.
Nady [450]
We would multiply $30 by 5% to first find 5% 
5% = 0.05 
$30 x 0.05 = $1.50
Now we add that to 30 
$30 + $1.50 = $31.50 

Your answer is $31.50 
6 0
3 years ago
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