I need an answer asap

Snezhnost [94]

Answer:

C

Step-by-step explanation:

Absolute Value is the distance from 0, so when you have -|22| that means its the absolute value of 22 then add the negative sign so that means it's further from 0 than |-22|.

I hope this will help.

5 0

2 years ago

Find the inverse of the function f f (x ) equals 9 x + 7

MrMuchimi

Note: Your question seems a little bit ambiguous. So, I am assuming the given function f(x)=9x+7.

Thus, I am solving based on it. It would still clear your concept.

Answer:

The inverse of f(x)=9x+7

$\frac{x-7}{9}$

Step-by-step explanation:

Given the function

$f(x)=9 x + 7$

A function g is the inverse of function f if for y=f(x), x=g(y)

Replace x with y

$x=9y+7$

solve for y

$9y=x-7$

$y=\:\frac{x-7}{9}$

Therefore,

The inverse of f(x)=9x+7 is:

$\frac{x-7}{9}$

i.e.

$\mathrm{Inverse\:of}\:9x+7:\quad \frac{x-7}{9}$

6 0

3 years ago

Write the complex number in trigonometric form a+bi. 3(cos270+I sin 270)

Darya [45]

Simply get the value of the angle and distribute away.

$\bf 3[cos(270^o)+i~sin(270^o)\implies 3[0+i( -1)]\implies 3-3i$

4 0

3 years ago

A segment XD is drawn in rectangle QUAD as shown

grin007 [14]

Answer:

∠XDQ : 41°

∠UXD: 139 °

Step-by-step explanation:

Allow me to rewrite your answer for a better understanding and please have a look at the attached photo.

A segment XD is drawn in rectangle QUAD as shown below.

What are the measures of ∠XDQ and ∠UXD ?

My answer:

As we can see in the photo, ∠ADX = 49° and ∠ADU =90°

=> ∠XDQ = ∠ADU - ∠ADX

= 90° - 49° = 41°

In the triangle ADX, we can find out the angle of ∠DXA

= 180° - ∠DAX - ∠ADX

= 180° - 90° - 49°

= 41°

=> ∠UXD = 180° - ∠DXA (Because UA is a straight line)

=180° - 41°

= 139 °

5 0

3 years ago

A bin is constructed from sheet metal with a square base and 4 equal rectangular sides. if the bin is constructed from 48 square

kondaur [170]

This is a problem of maxima and minima using derivative.

In the figure shown below we have the representation of this problem, so we know that the base of this bin is square. We also know that there are four square rectangles sides. This bin is a cube, therefore the volume is:

V = length x width x height

That is:

$V = xxy = x^{2}y$

We also know that the bin is constructed from 48 square feet of sheet metal, so:

Surface area of the square base = $x^{2}$

Surface area of the rectangular sides = $4xy$

Therefore, the total area of the cube is:

$A = 48 ft^{2} = x^{2} + 4xy$

Isolating the variable y in terms of x:

$y = \frac{48- x^{2} }{4x}$

Substituting this value in V:

$V = x^{2}( \frac{48- x^{2} }{x}) = 48x- x^{3}$

Getting the derivative and finding the maxima. This happens when the derivative is equal to zero:

$\frac{dv}{dx} = 48-3x^{2} =0$

Solving for x:

$x = \sqrt{\frac{48}{3}} = \sqrt{16} = 4$

Solving for y:

$y = \frac{48- 4^{2} }{(4)(4)} = 2$

Then, the dimensions of the largest volume of such a bin is:

Length = 4 ft
Width = 4 ft
Height = 2 ft

And its volume is:

$V = (4^{2} )(2) = 32 ft^{3}$

8 0

3 years ago