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2 years ago

Find the greatest common factor. 21x + 9xy − 12xy2

Mathematics

1 answer:

Leya [2.2K]2 years ago

6 0

The answer is 3x because 3 can go into all of those numbers as well as x

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Ratio of 2:3 white flour to whole wheat flour to total of 10 cups flour

LenaWriter [7]

White flour makes up 2 / (2+3) of the total 10 cups: 2/5 of the total 10 cups.

2/5 times 10 is 4 cups.

You'll need 4 cups white flour and 6 cups whole wheat flour, making a total of 10 cups of flour.

8 0

3 years ago

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

${f}^{ - 1} (x)$

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

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 solution of the following system of equations ? y- 2x and= 6 , y - 4x =0

Sveta_85 [38]

Answer:

x=3 and y=12

Step-by-step explanation:

$y-2x=6$ equation:1

$y-4x=0$ equation:2

Solving equation:1 for 'y' in terms of x

$y=6+2x$ equation:3

Putting 'y' in equation:2 which will make the equation of the single variable

$y-4x=0$

$6+2x-4x=0\\-2x=-6\\x=3$

Putting value of 'x' in equation:3 to find 'y'

$y=6+2x$

$y=6+2(3)\\y=6+6\\y=12$

6 0

3 years ago

Find the area of this polygon - PLZZZZZ HELP I WILL GIVE 30 points T^T

balu736 [363]

Answer:

82 m should be correct i hope

Step-by-step explanation:

5 0

2 years ago

Plz help me with this

Makovka662 [10]

Answer:

117° I believe.

Step-by-step explanation:

It would make sense. As it would equal the same as the other side

7 0

3 years ago

Read 2 more answers