State the inverse operation divide be 8

Given that f(x)= <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B2%7D-3%20%7D%7B2%7D" id="TexFormula1" title="\frac{x^{2}-3 }

torisob [31]

Answer:

$x=5,-5$

Step-by-step explanation:

$\\ y=\frac{x^2-3}{2}\\\\ x=\frac{y^2-3}{2}\\\\ 2x=y^2-3\\\\ y^2=2x+3\\\\ f^{-1}(x)=\pm\sqrt{2x+3}\\\\ f^{-1}(x)=\pm\sqrt{2(11)+3}\\=\pm\sqrt{25}=\pm 5$

5 0

3 years ago

How do I show the identity of cos(6x) = 2cos^2(3x)-1

notsponge [240]

You are given the function of identity of cos(6x) = 2cos^2(3x)-1. <span>A sine and cosine function is one of the basic functions encountered in Trigonometry. Sine is equal to the opposite side over hypotenuse whereas the cosine function is equal to the adjacent side over the hypotenuse.</span>

4 0

3 years ago

MATH AID PLEASE HELP?

satela [25.4K]

The area of a trapezoid is

$\cfrac{(B+b)h}{2}$

where B and b are the two bases, and h is the height. The two bases have to be parallel, and the height must be perpendicular to both bases.

Even though we are used to have horizontal bases and vertical height, it's not mandatory, since a simple rotation doesn't affect the dimensions or the area of the trapezoid.

So, in this case, the two vertical segments are actually the bases of the trapezoid, and the horizontal segment is the height. So, the formula for the area yields

$A = \cfrac{(12.2+10.2)\cdot 12.6}{2} = \cfrac{22.4\cdot 12.6}{2} = 11.2\cdot 12.6 = 141.12$

5 0

3 years ago

Please helpppppppp:(((((((((((((((((((

Alja [10]

Answer:

The area is 243 square feet

Step-by-step explanation:

The perimeter of a rectangle is the sum of all four sides.

Two of the sides represent the length and two represent the width.

Given what we know and using l to represent the length and w to represent the width.

l + l + w + w = 72ft

or more concisely

2l + 2w = 72ft

The four sides all add together to equal 72ft

We also know that

l = 3w

This says the length is equal to 3 times the width

we have two unknowns, l and w, and now we have two related equations so we can solve for l and w.

The first thing we will do is replace l with 3w in the first equation because the second equation tells us that l is the same as 3w. Making the replacement gives us

2(3w) + 2w = 72ft

2 times 3w is 6w

6w + 2w = 72ft

6w plus 2w is 8w

8w = 72ft

Now if we divide both sides by 8 we maintain the equality since we are making the same change to both sides

8w / 8 = 72ft / 8

8w divided by 8 is 1w or just w and 72ft divided by 8 is 9ft

w = 9ft

So now we know the width is 9ft

if we now replace w with 9 in one of our original equations we can solve for l, let's use l = 3w

l = 3(9ft)

3 times 9 is 27 so

l = 27ft

So the length is 27ft which is 3 times the width of 9ft

The area of a rectangle is length times width or l x w, so

area = 27ft x 9ft

area = 243sqft

ft means feet and sqft means square feet

4 0

3 years ago

Find the value of x. PLEASE explain how you got your answer thanks!

Mnenie [13.5K]

Answer:

x = 96

Step-by-step explanation:

x + x - 5 + x - 11 + x - 8 = 360

4x - 24 = 360

4x = 360 + 24

4x = 384

x = 96

8 0

3 years ago