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2 years ago

Write each equation in slope-intercept form 2x-2y-12=0

Mathematics

1 answer:

Gnom [1K]2 years ago

5 0

Answer: y=x-6

Step-by-step explanation:

2x-2y-12=0

1. Add 2y to both sides:

2x-12=2y

2. Divide both sides by 2

x-6=y

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What is the answer ?

kari74 [83]

Answer:

Step-by-step explanation:

x is alternate exterior angles and y is 180 - x

7 0

3 years ago

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Find the value of Q in the following system so that the solution to the system is {(x,y) : x-3y=4}

Assoli18 [71]

Answer:

Q=2

Step-by-step explanation:

hello :

the solution to the system is

{(x,y) : x-3y=4} means infinty solution

X-3y=4 ....(*)

Qx-6y=8....(**)

multiply (*) by -2

-2x+6y = -8 (***)

add (*) and (***) : (Q-2)x =0

this ie true for reals x when Q=2

3 0

2 years ago

1. What is the value of the y variable in the solution to the following system of equations?

ollegr [7]

Part 1)

we have

$3x-6y=3$ ------> equation A

$7x-5y=-11$ ------> equation B

Multiply by $-7$ the equation A

$-7(3x-6y)=-7*3$

$-21x+42y=-21$ ------> equation C

Multiply by $3$ the equation B

$3*(7x-5y)=-11*3$

$21x-15y=-33$ -------> equation D

Adds equation C and equation D

$-21x+42y=-21 \\21x-15y=-33\\---------- \\ 42y-15y=-21-33\\27y=-54 \\ y=-2$

therefore

the answer Part 1) is the option A

$y=-2$

Part 2)

we have

$3x+y=6$

$y=-3x+6$ ------> equation A

$6x+2y=8$

Simplify Divide by $2$ both sides

$3x+y=4$

$y=-3x+4$ ------> equation B

the lines A and B are parallel lines, because the slope m is equal

The system has no solution

therefore

the answer Part 2) is the option D

There is no x value as there is no solution to the system.

Part 3)

we have

$4x+2y=6$ ------> equation A

$x-y=3$

$y=x-3$ ------> equation B

substitute equation B in equation A

$4x+2[x-3]=6$

$6x-6=6$

$6x=12$

$x=2$

therefore

the answer part 3) is the option D

$x=2$

Part 4)

Let

x---------> The number of one-step equations

y---------> The number of two-step equations

we know that

$x+y=1,120$

$x=1,120-y$ -------> equation A

$3x-2y=1,300$ ------> equation B

substitute equation A in equation B

$3[1,120-y]-2y=1,300$

$3,360-5y=1,300$

$5y=3,360-1,300$

$5y=2,060$

$y=412$

therefore

the answer part 4) is the option D

$y=412$

8 0

2 years ago

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How many minutes did Todd use in October

Natalija [7]

Answer:

100 minutes cost Todd $24. He had extra bill of 26.38 - 24 = $2.38

$2.38 = 238 cents

7 cents billed for 1 extra minute

1 cents billed for 1/7 extra minute

238 cents billed for 238/7 = 34 extra minutes

total minutes = 134 minutes

4 0

2 years ago

Rashida owns a bike rental company. She charges an initial fee of $10 for each rental and an hourly rate of $4. A customer paid

NeX [460]

Options were not present in the question we are Stating below;

Rashida owns a bike rental company. She charges an initial fee of $10 for each rental and an hourly rate of $4. A customer paid $34 for a bike rental. Which of the equations below could be used to find how many hours, x, the customer rented the bike?

$34 = 10 - 4x\\\\34 = 4 + 10x\\\\34 = 10 + 4x\\$

Answer:

$34 = 10 + 4x$

Step-by-step explanation:

Given:

Amount customer paid = $34

Initial fee = $10

Hourly rate = $4

We need to write the equation used to find how many hours, x, the customer rented the bike.

Solution:

Let the number of hours customer rented the bike be 'x'.

Now we can say that;

Amount customer paid is equal to sum of Initial fee plus Hourly rate multiplied by number of hours customer rented the bike.

framing in equation form we get;

$34 =10+4x$

Hence The equation used to find number of hours customer rented the bike is $34 =10+4x$ .

6 0

3 years ago