In the function f(x)=(x-2)^2+4, the minimum value occurs when x is

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Answer 1
Answer:
The graph of the function is a parabola. 

The nose comes down as far as y=4 but no farther.

That happens when  (x - 2)² = 0 , and THAT happens when x = 2 .

Answer 2
Answer: f(x) = (x - 2)² + 4
f(x) = (x - 2)(x - 2) + 4
f(x) = (x(x - 2) - 2(x - 2)) + 4
f(x) = (x(x) - x(2) - 2(x) + 2(2)) + 4
f(x) = (x² - 2x - 2x + 4) + 4
f(x) = (x² - 4x + 4) + 4
f(x) = x² - 4x + 4 + 4
f(x) = x² - 4x + 8

x = -(b)/(2a) = -(-4)/(2(1)) = -(-4)/(2) = -(-2) = 2

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Simplify the expression 6√2/√3

Answers

6√2/√3

= (6√2)/√3

= 2√6

I hope that's help

Let f(x)=7x3−2x−12and g(x)=−3x3−8x2+10xWhat is the function rule for (f+g)(x) ?

A. (f+g)(x)=4x6−8x2+12x−12

B. (f+g)(x)=4x6−8x2+8x−12

C. (f+g)(x)=4x3−8x2+8x−12

D. (f+g)(x)=4x3−12x2+8x−12

Answers

You just combine add like terms in the equations so your answer would be C. 

Robert needs to cut four shelves from a board that is 2.5 meters long. The second shelf is 18 centimeters longer than twice the length of the first shelf. The third shelf is 12 centimeters shorter than the first The remaining shelf centimeters longer than the first shelf. If Robert must use the entire 2 5 meter board for the shelves. what is the length of the second shelf, in centimeters?

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114 cm/ 1.14 m this will give you your answer.

A rectangle has a perimeter of 26 cm and one of its sides has a length of 5 cm sketch a rectangle and label all of its sides lengths

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Answer:

Step-by-step explanation:

Perimeter of rectangle given = 26 cm

And measure of a side of the rectangle = 5 cm

Since perimeter of a rectangle = 2(length + width)

By replacing the values of perimeter and length in the formula

26 = 2(5 + width)

5 + width = (26)/(2)=13

width = 13 - 5 = 8 cm

Now we can draw a rectangle of length = 5 cm and width = 8 cm  

im thinking both shorter sides are 5cm, and the 2 longer sides are 8cm each... add them all together and you get 26cm

I need help quick please

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96 ! If you get x on one side and the # on the other you get x=96

How do you solve trigometric ratios?

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Choose which trig ratio to use. - Choose either sin, cos, or tan by determining which side you know and which side you are looking for. - Solve the resulting equation to find the length of the side. Step 1: Choose which trig ratio to use.