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vredina [299]
3 years ago
11

3x - 2(6 - x) = 7x + 2(5 + x) - 6 What is the answer

Mathematics
2 answers:
mafiozo [28]3 years ago
6 0

Answer:

x= -4

Step-by-step explanation:

vovikov84 [41]3 years ago
6 0

Answer: x = -4

Step-by-step explanation:

first, we remove the parentheses.

3x - 12 + 2x = 7x + 10 + 2x - 6

then, we cancel equal terms.

3x - 12 = 7x + 10 - 6

then, we calculate.

3x - 12 = 7x + 4

next, we move the terms.

3x - 7x = 4 + 12

then, we collect like terms and calculate.

-4x = 16

finally, we divide both sides.

x = -4

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Is y = 6x direct, inverse or neither?
Morgarella [4.7K]
Direct variation always has the relationship y=kx.  Indirect inverse variation always has the relationship y=k/x.

In this case y=kx, where k=6, so this is a direct variation.


7 0
3 years ago
(f×g) (x) <br>(4x+8)×(2x-12)​
RoseWind [281]

Answer:

= (4x + 8)(2x - 12) \\  = ( {8x}^{2}  - 48x + 16x - 96) \\  = (8 {x}^{2}  - 32x - 96) \\  = 8( {x}^{2}  - 4x + 12)

6 0
3 years ago
Read 2 more answers
I NEED HELP PLEASE! THANKS :)
Marianna [84]

Answer:

<em>y = 2 \: cos \:  (\frac{1}{3} x)</em>

<em>option</em><em> </em><em>C</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>right</em><em> </em><em>option</em><em>.</em>

<em>Expla</em><em>nation</em><em>:</em>

<em>General</em><em> </em><em>expression</em><em> </em><em>of</em><em> </em><em>a</em><em> </em><em>cosine</em><em> </em><em>function</em><em> </em><em>is</em><em>:</em>

<em>y</em><em>=</em><em>A</em><em> </em><em>cos</em><em> </em><em>k</em><em> </em><em>X</em>

<em>where</em><em> </em><em>A</em><em> </em><em>is</em><em> </em><em>amplitude </em><em>and</em><em> </em><em>2</em><em> </em><em>pi</em><em>/</em><em>k</em><em> </em><em>is</em><em> </em><em>its </em><em>period.</em>

<em>In</em><em> </em><em>our</em><em> </em><em>case</em><em>,</em>

<em>- y = 2 \: cos \:  (\frac{1}{3} x) \:</em>

<em>has</em><em> </em><em>:</em>

<em>amplitude = 2 \\ period = 2\pi \times 3 = 6\pi</em>

<em>hence,</em><em> </em><em>the</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em> </em><em>of</em><em> </em><em>option</em><em> </em><em>C</em>

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>

7 0
3 years ago
Read 2 more answers
What is the pattern of 1/16, 1/8, 3/16, 1/4, write the next three fractions?
hammer [34]
First we will find the difference between the first two fractions
1/8-1/16=
here the common dinominator is 16 so we will get the following out of the subtraction
1/8-1/16=1/16
D=1/16
to get the next three, we will just add the difference to the previous fraction to get  the next fraction.
so our pattern will be 1/16, 1/8, 3/16, 1/4, 5/16, 3/8, 7/16




 
6 0
3 years ago
Find the equation of the line passing through the coordinates ( 1 , 8) and ( 3, 18).
SOVA2 [1]

Answer:

y = 5x + 3

Step-by-step explanation:

First we need to find the slope.

The equation to find the slope is m = y2 - y1/x2 - x1  -----> (x1 and x2 just mean the x coordinate for the 2 points, so basically in this case, x1 would be 1 and x2 would be 3. Same for y1 and y2, just the y coordination of each point. y1 = 8 and y2 = 18)

m = 18 - 8/ 3 - 1

m = 10/2

m = 5

The slope would be 2 or 2/1. If you have a fraction that does not divide evenly, such as 3/5, DO NOT simplify unless specified.

Now that we have the slope, we can put this into point-slope form. The formula for this form is:

y - y1 = m(x - x1)

For this you would have to choose one of your points.

I'm going to choose the first one.

y - 8 = 5(x - 1) ----> Always remember in this formula the "m" is the slope, and we previously found out that it was 2, so plug 2 into m

From here just do basic multiplication and addition/subtraction.

y - 8 = 5x - 5

  +8          +8

y = 5x + 3

To test to see if these go through your points, plug the 2 points and equation into a website called desmos. (Very good site, and if your teacher has not recommend it, I highly advise using it. )

4 0
3 years ago
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