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Delicious77 [7]
2 years ago
5

Which of these systems of linear equations has no solution?

Mathematics
1 answer:
liubo4ka [24]2 years ago
7 0

Answer:

D)4 x -3 y = 16. 8 x -6 y = 34.

Step-by-step explanation:

A system of linear equations is a set of (linear) equations that have more than one unknown. The unknowns appear in several of the equations and these equations relate the unknowns or variables to each other.

When you solve a system of two equations with two unknowns, what you are really doing is finding the cut-off point of the two lines, if any. But if the graphs of the equations do not intersect, then there is no solution to the equations. In this case the lines are parallel and the system is incompatible. The lines are parallel when they have the same slope, but different ordinate. The way to represent a line is

y= mx+n Equation (A)

where m is the slope and n is the ordinate.

In this case, subsection D) is a system without solution. To observe this, you first express as equation (A) the lines:

4x - 3y=16     ⇒     -3y=16 -4x     ⇒ y= -16/3+4/3 x

8 x -6 y = 34    ⇒    -6y=34-8x    ⇒    y=-17/3 +4/3 x

 You can see that the lines are parallel because they have the same slope. Then it will be a system without solution. You can also see it in the attached graph, where the green line belongs to the line 4x -3y=16 and the red line to the line 8x -6y=34

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Debora [2.8K]

Answer:

3120

Step-by-step explanation:

step 1:multiply 8 with 0 and 7 with 0

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3 0
2 years ago
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A 16-ounce package of frozen vegetables costs $2.10. How much would you expect a 12-ounce package to cost?
statuscvo [17]
Hi!

We need to find the cost per ounce. 
2.10/16 = 0.13125

It costs 0.13125 per ounce. 

Now find the cost of 12 ounces. 
12 * 0.13125 = $1.58

The answer is $1.58

Hope this helps! :)
-Peredhel
8 0
3 years ago
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Which line(s) intersect the parabola y = x^2 − 3x + 4 at two points? Select all that apply. A. y = –3x + 2 B. y = –3x + 3 C. y =
TEA [102]

Answer:

C and D

Step-by-step explanation:

Equating the line A and the parabola, we get

-3x + 2 = x² - 3x + 4

0 = x² - 3x + 4 +3x - 2

0 = x² + 2

-2 = x²

which has no real solutions. Then, the line A and the parabola don't intersect each other.

Equating the line B and the parabola, we get

-3x + 3 = x² - 3x + 4

0 = x² - 3x + 4 + 3x - 3

0 = x² + 1

-1 = x²

which has no real solutions. Then, the line B and the parabola don't intersect each other.

Equating the line C and the parabola, we get

-3x + 5 = x² - 3x + 4

0 = x² - 3x + 4  + 3x - 5

0 = x² - 1

1 = x²

√1 = x

which has 2 solutions, x = 1 and x = -1. Then, the line C and the parabola intersect each other.

Equating the line D and the parabola, we get

-3x + 6 = x² - 3x + 4

0 = x² - 3x + 4  + 3x - 6

0 = x² - 2

2 = x²

√2 = x

which has 2 solutions, x ≈ 1.41 and x ≈ -1.41. Then, the line D and the parabola intersect each other.

4 0
3 years ago
PLEASE HELP!!! PRE CAL!!!
kipiarov [429]
Please help my latest question

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3 years ago
The bird population on an island is declining at a rate of 2.2% per year. If the population was 3500 in the year 2009, which is
andreyandreev [35.5K]
In the year 2009 there were 3500 birds on an island. If the bird population is declining 2.2% per year it means that in the year 2014 we will have 3500*(1-0.022^{5})=3500*0.978 x^{5}= 3131.57 birds. 
The best prediction is that in the year 2014 the bird population will be 3132.
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3 years ago
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