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Lisa [10]
3 years ago
9

I need help with this graph.

Mathematics
1 answer:
tatuchka [14]3 years ago
3 0
Two parallel lines never intersect, therefore they will never have a solution.

One line could be x=6 and the other could be x=2

Hope this helps :)
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PLEASE HELP!!! 100 POINTS!
arlik [135]

Answer:

  x = 0; y = -6; z = 1

Step-by-step explanation:

You want to find the solution to the system of equations ...

  • 9x+y-3z=-9
  • 10x-y+2z=8
  • -10x-y+4z=10

<h3>Solution</h3>

This set of equations is conveniently solved using the matrix row-reduction features of a scientific or graphing calculator, spreadsheet, or any of a number of apps or on-line calculators.

The attachment shows the solution to be ...

  (x, y, z) = (0, -6, 1)

__

<em>Additional comment</em>

Solving a system of three or more equations "by hand" often can be done by an ad hoc process. It can be done in systematic fashion using Gauss-Jordan reduction techniques, but that often gets messy. Similarly, Cramer's Rule can be used, but that math tends to involve more arithmetic operations than are really necessary.

Adding the first equation to the other two eliminates the y-variable and reduces the system to two equations in two unknowns.

  (9x +y -3z) +(10x -y +2z) = (-9) +(8) . . . . adding [1] and [2]

  19x -z = -1 . . . . simplified

  (9x +y -3z) +(-10x -y +4z) = (-9) +(10) . . . . adding [1] and [3]

  -x +z = 1 . . . . simplified

At this point, we could graph the two equations, or we can proceed algebraically.

Adding these two equations gives ...

  (19x -z) +(-x +z) = (-1) +(1)

  18x = 0   ⇒   x = 0

Using the second of the reduced equations, we find ...

 -x +z = 1

  0 +z = 1   ⇒   z = 1

And using the second of the original equations, gives us ...

  10(0) -y +2(1) = 8

  -y = 6 . . . . . subtract 2

  y = -6 . . . . multiply by -1

Then the solution is (x, y, z) = (0, -6, 1), as above.

6 0
1 year ago
Last year Lira earned $12,000 less than her husband Todd. Together they earned $75,000. How much did Lira earn last year?
nexus9112 [7]

Given:

Last year Lira earned $12,000 less than her husband Todd.

Together they earned $75,000.

To find:

The amount earned by Lira in last year.

Solution:

Let x be the amount earned by Lira's husband inn last year.

Last year Lira earned $12,000 less than her husband Todd.

Amount earned by Lira = x-12000

Total amount earned by Lira and her husband = x+(x-12000)

                                                                             = 2x-12000

Together they earned $75,000.

2x-12000=75000

2x=75000+12000

2x=87000

x=\dfrac{87000}{2}

x=43500

Now,

Amount earned by Lira = x-12000

                                       = 43500-12000

                                       = 31500

Therefore, the amount earned by Lira in last year is $31500.

6 0
3 years ago
Write the formula for the area of a triangle, A, where b is the base and h is the height of the triangle. Don’t include parenthe
Mkey [24]

Answer:

A = 1/2 × b × h

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Can anyone answer this for me?
Sunny_sXe [5.5K]

Answer:

y = 2 - x^{2}

Step-by-step explanation:

x^{2} results in a parabola (U-shape). Adding a negative in front of it flips the parabola to look like an upside-down U.

The 2 makes it shift up two decimal spots to (0,2).

8 0
2 years ago
Exact value of the function for the given x-value f(x) = 5x for x = -1
fgiga [73]
-5, because when plugging the -1 in for x then multiplying it by 5, you get -5
3 0
3 years ago
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