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Vitek1552 [10]
3 years ago
15

Slope -2 passes through (-3,14)

Mathematics
1 answer:
dimulka [17.4K]3 years ago
8 0

Answer:

y  =  − 2 x  +  8

Step-by-step explanation:

Find the value of  b  using the formula for the equation of a line.

    Use the formula for the equation of a line to find  b .

    y = m x + b

    Substitute the value of  m  into the equation.

    y = ( − 2 ) ⋅ x + b

    Substitute the value of  x  into the equation.

    y = ( − 2 ) ⋅ ( − 3 ) + b

    Substitute the value of  y  into the equation.

    14 = ( − 2 ) ⋅ ( − 3 ) + b

    Find the value of  b .

    Rewrite the equation

    ( − 2 ) ⋅ ( − 3 ) + b = 14 .

    Multiply  − 2  by  − 3

    6 + b = 14

    Subtract  6  from both sides of the equation.

    b = 14 − 6

    Subtract  6  from  14 .

     b  =  8

Now that the values of  

m  (slope) and  b  (y-intercept) are known, substitute them into  y = m x + b  to find the equation of the line.

y = − 2 x + 8

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Mr.Jenkins has 48 paintbrushes and 60 tubes of paint to put into cups.The greatest common factor for the number of paint brushes
Flauer [41]

Answer:

Mr. Jenkins has 12 cups.

Step-by-step explanation:

Consider the provided information.

Mr.Jenkins has 48 paintbrushes and 60 tubes of paint to put into cups.

It is given that The greatest common factor for the number of paint brushes and the number of tubes of paint is equal to the number of cups Mr.Jenkins has.

First find the greatest common factor of 48 and 60.

48 = 2×2×2×2×3

60 = 2×2×3×5

Hence, the greatest common factor is 2×2×3=12

Therefore, Mr. Jenkins has 12 cups.

5 0
4 years ago
QUICK WHATS THIS ANSWER?!?
Mars2501 [29]

Answer:

C. -x-6>-3.5

Step-by-step explanation:

One is asked to find which inequality has (x=-3) in its solution set. Remember that an inequality is another way to represent a set of solutions. In essence, it states that all numbers less than; less than or equal to; greater than; or greater than or equal to, are a part of the solution. One simplifies an inequality in a similar manner to how one simplifies an equation, by using inverse operations and simplification. Just note that when multiplying or dividing the inequality by a negative number, one has to flip the inequality sign to ensure the expression remains true.

Simplify each of the inequalities, then evaluate to see which one has (x=-3) as a part of its solution set.

A. -x -6

-x

x>-2.5

B. -x-6>3.5

-x>9.5

x

C. -x-6>-3.5

-x>2.5

x

D. x-6>-3.5

x>2.5

As can be seen, option (C -x-6>-3.5) is the only one that fits this requirement. Since option (C) simplifies down to (x) or in words, (x) is less than (-2.5). This option is the only one that fits the solution since (-3) is less than (-2.5).

7 0
3 years ago
What is 2x + 4x + 4 = 4(x + 4) and step by step and Highlight / circle the error
mario62 [17]

Answer:

x = 6 and the +4x is wrong

Step-by-step explanation:

2x + 4x + 4 = 4(x + 4)

6x + 4 = 4x + 16

+4x +4x  <--( <u>This part is wrong</u> )

10x + 4 = 16

-4 -4

10x = 12

10 10

x = 1.2

Correct steps

2x + 4x + 4 = 4(x + 4)

6x + 4 = 4x + 16

-4x        -4x

2x + 4  = 16

      -4     -4

2x = 12

2       2

x = 6

6 0
3 years ago
An employee has been stealing funds from the company for years. Which of the following control methods would have most likely un
nasty-shy [4]

Answer:

Complete a bank reconciliation

Step-by-step explanation:

A bank reconciliation is the process where the financial records of the bank is compared with the firm's financial record. If an employee has been stealing funds from the company, there would be a discrepancy between the figures provided by the record.

In a bid to know the reason for the discrepancy, the theft would be detected

8 0
3 years ago
I’m confused please help me ‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍
Anna71 [15]

Answer:

A Subtract 6 from 27 then divide by 3

Step-by-step explanation:

3B + 6 = 27

3B = 21

B = 7

so you subtract 6 from 27, then divide by 3

3 0
3 years ago
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