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Shalnov [3]
3 years ago
13

PLEASE HURRY! I NEED AN ANSWER, THANKS! :)

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
5 0

Answer:  D) Inverse does not exist

<u>Step-by-step explanation:</u>

The top row is 0 0 , which makes the determinant equal to zero.

The reciprocal of 0 is undefined so there cannot be an inverse for this matrix.

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Graph the inverse circular function by hand, given f(x) = 3sin(2x) ;-pi/4 ≤ ≤pi/4
nasty-shy [4]

Part a)

a) The given function is

f(x) = 3 \sin(2x)

We let

y =  3 \sin(2x)

Interchange x and y.

x=  3 \sin(2y)

Solve for y;

\frac{x}{3}  =  \sin(2y)

y =  \frac{1}{2}  { \sin}^{ - 1}( \frac{x}{3} )

{f}^{ - 1}(x)  =  \frac{1}{2}  { \sin}^{ - 1}( \frac{x}{3} )

Part b) The range of f(x) refers to y-values for which f(x) exists.

The range of f(x) is

-  3 \leqslant y \leqslant 3

This is because the function is within y=-3 and y=3.

c) The range of

{f}^{ - 1} (x)

is

-  \frac{ \pi}{4}  \leqslant y \leqslant  \frac{\pi}{4}

The domain is -3≤x≤3

This is because the domain and range of a function and its inverse swaps.

Part d) The graph is shown in the attachment.

3 0
3 years ago
What is the volume of a rectangular prism with a length of 4 a width of 6 and a height of 2?​
pentagon [3]

Answer: Volume = 48

Step-by-step explanation:

V = L * W * H

V = 4 * 6 * 2

V = 48

5 0
3 years ago
What is the linear equation for this table?
MrRa [10]

Answer:

y=-2x-5

Step-by-step explanation:

6 0
3 years ago
14α - (2a + 9) = 3 (12a - 18)
Leona [35]

Answer:

a = 2 5/8

Step-by-step explanation:

14a - (2a + 9) = 3 (12a - 18)

14a - 2a + 9 = 36a - 54

12a + 9 = 36a - 54

12a - 36a = -54 - 9

-24a = -63

a = -63/-24

a = 21/8

a = 2 5/8

3 0
3 years ago
Rewrite the equation below in standard form y=2x+5.
Bingel [31]
Standard Form is Ax + By = C
y=2x+5
-2x+y= -2x+2x +5
-2x + y = 5

Answer -2x + y = 5
7 0
3 years ago
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