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alina1380 [7]
3 years ago
11

Consider the equation 1/3x−2=x+2. Write a system of linear equations using each side of the equation. Then solve the original eq

uation by graphing the system of linear equations.
Then graph and solve for x
Mathematics
1 answer:
Ierofanga [76]3 years ago
5 0

Answer:

(-6,4)

Step-by-step explanation:

1/3x − 2 = x + 2 is obtained by equating the following two functions:

y = (⅓)x - 2

y = x + 2

Graph:

Draw two straight lines

1) joining (0,-2) and (6,0)

2) joining (0,2) and (-2,0)

On the graph, you'll see that the above two lines intersect at: (-6,4)

Hence the solution is (-6,4)

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Write the equation 2x-3y=6in slope -intercept form​
Tcecarenko [31]

Answer:

y = 2/3 x -2

Step-by-step explanation:

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

We need to solve for y

2x-3y = 6

Subtract 2x from each side

2x-2x-3y=-2x+6

-3y = -2x+6

Divide  by -3

-3y/-3 = -2/-3x+6 /-3

y = 2/3 x -2

The slope is 2/3 and the y intercept is -2

7 0
3 years ago
What factors of 48 are multiples of 4
docker41 [41]
4, 8, 12, 16, and 24
8 0
3 years ago
Read 2 more answers
-6/7,-3/7,0,3/7 .... create a formula that explains the arithmetic sequence
LenKa [72]

The formula that explain the arithmetic sequence is a_{n}=\frac{3}{7}n-\frac{9}{7}

Step-by-step explanation:

The formula of the nth term in an arithmetic sequence is

a_{n}=a+(n-1)d , where

  • a is the first term
  • d is the common difference between the consecutive terms

∵ \frac{-6}{7} , \frac{-3}{7} , 0 , \frac{3}{7} are some terms of an arithmetic sequence

∵ The difference between two consecutive terms = \frac{-3}{7} - \frac{-6}{7}

∴ The difference between two consecutive terms = \frac{-3}{7} + \frac{6}{7} = \frac{3}{7}

∴ The common difference = \frac{3}{7}

∴ d = \frac{3}{7}

∵ The first term is \frac{-6}{7}

∴ a = \frac{-6}{7}

- Substitute a and d in the formula above

∴ a_{n}=\frac{-6}{7}+(n-1)\frac{3}{7}

- Simplify the right hand side

∴ a_{n}=\frac{-6}{7}+\frac{3}{7}n-\frac{3}{7}

- Add like terms

∴ a_{n}=\frac{3}{7}n-\frac{9}{7}

The formula that explain the arithmetic sequence is a_{n}=\frac{3}{7}n-\frac{9}{7}

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

3 0
3 years ago
Find the solution of the Quadratic Equation 2X^2 + 2x - 12 = 0 note: X^2 means x to the power of 2
allsm [11]

x=3 and x= -2

Step-by-step explanation:

we could simplify it to x*2 + x -6 = 0

then 2 numbers whose sum is 1 and product is -6

the numbers are 3 and -2

3 0
3 years ago
If Josh can run 1.5 miles in 12 minutes how long will it take him to run a mile
yaroslaw [1]

Answer:

9 minutes

Step-by-step explanation:

12 divided by 1.5 is 9.

4 0
3 years ago
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