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Yuri [45]
4 years ago
9

Rewrite the quadratic function in vertex form. Y=3x^2-12x+4

Mathematics
1 answer:
Karolina [17]4 years ago
5 0

Answer:

vertex form is y=a(x−h)2+k. To solve this you have to complete the square with the x terms: y= 3x2−12x+4. first isolate the x terms: y−4=3x2−12x. ax2+bx+c to complete the square a=1 and c=(12b)2.

Step-by-step explanation:

vertex form is y=a(x−h)2+k. To solve this you have to complete the square with the x terms: y= 3x2−12x+4. first isolate the x terms: y−4=3x2−12x. ax2+bx+c to complete the square a=1 and c=(12b)2.

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Find the domain of the function algebraically:<br><br> <img src="https://tex.z-dn.net/?f=R%28x%29%3D%5Cfrac%7Bx%7D%7Bx%5E%7B2%7D
BigorU [14]

The domain of the function is all real numbers except 2 and -1

Step-by-step explanation:

Domain is the set of inputs of a function on which the function is defined.

Given function is:

R(x) = \frac{x}{x^2-x-2}

In case of a function involving fraction, the function is undefined if the denominator is zero so in order to find the domain of the function algebraically , we have to find the values on which the function will be undefined

x^2-x-2 = 0\\x^2-2x+x-2 = 0\\x(x-2)+1(x-2) = 0\\(x+1)(x-2) = 0\\x+1 = 0 => x=-1\\x-2=0 = > x=2

The function will be undefined on x=-1 and x=2

So,

The domain of the function is all real numbers except 2 and -1

Keywords: Domain, functions

Learn more about domain and functions at:

  • brainly.com/question/2150928
  • brainly.com/question/2154850

#LearnwithBrainly

7 0
4 years ago
Can you guys help please im so confused
marissa [1.9K]

Answer:

a) see below

b) 40x20 meters

Step-by-step explanation:

Write down what you know:

- The area of the enclosure is length*width, so

A = x \cdot y

- The length of the fencing is 80 meters, so

2y + x = 80

Now we have to combine these two equations above, and get rid of y in the process.

First rewrite the second as:

y = 40 - \frac12 x

Then substitute for y in the first:

A = x (40 - \frac12 x) = 40x - \frac12x^2

b) To maximize A, find the zero of the first derivative:

A'(x) = 40 - x = 0 \implies x=40

So y = (80-40)/2 = 20 meters.

8 0
3 years ago
HELP ME PLZZZZ there are two pics
yulyashka [42]

Answer:

In order of the boxes going down:

14

9

0

14

Step-by-step explanation:

Find the number of people for each games

ie. 8x 4 = 32 people playing cribbage therfore 60-32 = 28 play chess which will be 14 games

8 0
3 years ago
Evaluate the expression with the given variable replacements.<br> 2x3 (if x = 3)
MArishka [77]

Answer:

if the expression is 2x^3 then answer is 54

Step-by-step explanation:

2x^3

substitute in x=3

2* (3)^3

= 2*3*3*3

= 2*27

= 54

please give thanks, hit that heart button :) good luck

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