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swat32
3 years ago
7

Need help with this dont understand it at all

Mathematics
1 answer:
vfiekz [6]3 years ago
6 0
To raise a function up by k units, add k to the whole function
f(x) is 2 units lower than g(x)
so -2 was added

k=-2
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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

<u>the answer Part 1) is the option A </u>

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

so

The system has no solution

therefore

<u>the answer Part 2) is the option D</u>

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

<u>the answer part 3) is the option D</u>

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

<u>the answer part 4) is  the option D</u>

y=412

8 0
2 years ago
Read 2 more answers
What is a​ population?. a population is the set containing all the people or objects whose properties are to be described and an
yarga [219]
I think that is the letter (a)
7 0
3 years ago
Tracy needs to find the length and width of the equipment room where she works. The room is 2 meters longer than it is wide. The
Alekssandra [29.7K]

Answer:

The answer to your question is: width = 3 meters

Step-by-step explanation:

Data

Perimeter = 16 meters

The room is 2 meters longer than its width, then   length = width + 2

Perimeter = 2 length + 2 width

   16 =  2(width + 2) + 2 width

    16 = 2 width + 4 + 2 width

   16 = 4 width +4

   16 - 4 = 4 width

    12 = 4 width

    12/4 = width

     3 = width  

length = 3 + 2 = 5 meters

8 0
2 years ago
Please help. I’ll mark you as brainliest if correct
pashok25 [27]

Answer:

1,-1,3,4

1,6,-2,-4

-4,6,-6,6

Step-by-step explanation:

I believe you just put in the values into the box. Watch the video to see how they did it to make sure it looks like how I did it.

7 0
3 years ago
Describe the transformations from the parent function f(x)=x^2 to the function g(x+2)^2+5
Yanka [14]

Answer: 2 units to the right, 5 units up

Step-by-step explanation:

7 0
2 years ago
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