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nasty-shy [4]
3 years ago
14

Subtract: (6m + 12) - (2m – 8)

Mathematics
1 answer:
icang [17]3 years ago
4 0
(6m+12) - (2m-8)= 4 (m+5)
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Plz Help me with this math problem
WITCHER [35]
Because he added them up , instead of trying to find the mean ( average ) of his city's high temperatures.
3 0
3 years ago
Complete the table of values below so that it represents a line with a constant rate of change of `-\frac{3}{4}.`
Nady [450]

To find values of the table, plug in the given corresponding values of x or y, and constant rate of change (m) = -3/4 into y = mx.

<h3>What is the Constant Rate of Change?</h3>

Constant rate of change of any table or function is a comparison of how two variables are changing, which can be determined using the formula, m = change in y/change in x = \frac{y_2 - y_1}{x_2 - x_1}.

Where x and y are the coordinates of a table or functions, and m is the constant rate of change, the equation that models the relationship would be, y = mx.

The image of the table is missing, however, to complete the given table, plug in any of the given values of x or y, and constant rate of change (m) = -3/4 into y = mx.

Learn more about constant rate of change on:

brainly.com/question/10866779

6 0
3 years ago
First derivative of <br>√{cosec2x).show with full step.​
Mice21 [21]

Answer:

- \sf \displaystyle \:   \frac{ \cos(2x) }{ \sin ^{2} (2x)\sqrt{ \csc(2x) } }

Step-by-step explanation:

we are given a derivative

\displaystyle \:  \frac{d}{dx} ( \sqrt{  \csc(2x) } )

and said to figure out the first derivative

to do so

recall chain rule:

\sf\displaystyle \:  \frac{d}{dx} (f(g(x)) =  \frac{d}{dg} (f(g(x)) \times  \frac{d}{dx} (g)

so we get

\displaystyle \: g(x) =  \csc(2x)

rewrite the derivative using the chain rule:

\displaystyle \:  \frac{d}{dg} ( \sqrt{  g } )  \times  \frac{d}{dx} ( \csc(2x) )

use square root derivative rule to simplify:

\displaystyle \:   \frac{1}{ 2\sqrt{g} }  \times  \frac{d}{dx} ( \csc(2x) )

now we need to again use chain rule composite function derivative to simplify

where we'll take a new function n so we won't mess up two g's and we'll take 2x as n

use composite function derivative to simplify:

\sf \displaystyle \:   \frac{1}{ 2\sqrt{g} }  \times  \frac{d}{dn}( \csc(n) ) \times  \frac{d}{dx} (2x)

use derivative formula to simplify derivatives:

\sf \displaystyle \:   \frac{1}{ 2\sqrt{g} }  \times   - \cot(n)   \csc(n)  \times  2

substitute the value of n:

\sf \displaystyle \:   \frac{1}{ 2\sqrt{g} }  \times   - 2\cot(2x)   \csc(2x)

substitute the value of g:

\sf \displaystyle \:   \frac{1}{ 2\sqrt{ \csc(2x) } }  \times   - 2\cot(2x)   \csc(2x)

now we need our trigonometric skills to simplify

rewrite cot and csc:

\sf \displaystyle \:   \frac{1}{ 2\sqrt{ \csc(2x) } }  \times   - 2 \dfrac{ \cos(2x) }{ \sin(2x) }   \dfrac{1}{ \sin(2x) }

simplify multiplication:

\sf \displaystyle \:   \frac{1}{ \cancel{ \:  2}\sqrt{ \csc(2x) } }  \times    \cancel{- 2} \dfrac{ \cos(2x) }{ \sin ^{2} (2x) }

simplify multiplication:

- \sf \displaystyle \:   \frac{ \cos(2x) }{ \sin ^{2} (2x)\sqrt{ \csc(2x) } }

4 0
3 years ago
Read 2 more answers
Solve the system of linear equations by multiplying. Check the answer by graphing the system of equations. –2x + 2y = 10 -4x + 5
kari74 [83]

Answer:

x=2, y=7 (2,7)

Explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

8 0
3 years ago
Find the y-intercept and the x-intercept of the line 2x-4y=10
kompoz [17]
Finding y intercept and x intercept is easy:

X intercept will be of the form (x,0) and y intercept will be of the form (0,y)

● If you put x=0 in the equation, you will get y-intercept.

● If you put y=0 in the equation, you will get x-intercept.
______________________________

Given equation: 2x - 4y = 10

◆ Put x = 0
2×0 - 4y = 10
=> -4y = 10
=> y = 10/(-4)
=> y = -5/2

Thus y intercept is (0, -5/2)

◆Put y = 0
2x - 4×0 = 10
=> 2x = 10
=> x = 10/2
=> x = 5

Thus the x intercept is (5,0)
4 0
3 years ago
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