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3 years ago

Which graph represents the following system of inequalities? y > 2x - 5 y <-3x

Mathematics

1 answer:

NARA [144]3 years ago

8 0

Answer:

The graph i the attached figure

Step-by-step explanation:

we have

$y > 2x-5$ ----> inequality A

The solution of the inequality A is the shaded area above the dotted line $y=2x-5$

The slope of the dotted line is positive

The x- intercept of the dotted line is the point (2.5,0)

The y- intercept of the dotted line is the point (0,-5)

$y < -3x$ -----> inequality B

The solution of the inequality B is the shaded area below the dotted line $y=-3x$

The slope of the dotted line is negative

The x- intercept of the dotted line is the point (0,0)

The y- intercept of the dotted line is the point (0,0)

The solution of the system of inequalities is the shaded area between the two dotted lines

see the attached figure

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What is 1000 k = to but it has to be a gram .any get it cause I don't help me

denpristay [2]

You need to convert 1000kg to grams? There are 1000g $\frac{1000g}{kg}$
Now what you need to do is multiply the number of kg you have by your conversion fractions, making sure that grams is on top so you end up with grams in your answer: $\frac{1000kg}{g}$ * $\frac{1000g}{kg}$

Kg cancel, and you are left with 1,000,000g
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5 0

3 years ago

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x-y=

Bond [772]

Answer:

The system of linear equations has infinitely many solutions

Step-by-step explanation:

Let's modified the equations and find the answer.

Using the first equation:

$2x-y=5$ we can multiply by 2 in both sides, obtaining:

$2*(2x-y)=2*5$ which can by simplified as:

$4x-2y=10$ which is equal to:

$4x=2y+10$

Considering the second equation:

$=4x+ky=2$

Taking into account that from the first equation we know that: $4x=2y+10$ , we can express the second equation as:

$2y+10+ky=2$ , which can be simplified as:

$(2+k)y=2-10$

$(2+k)y=-8$

$y=-8/(2+k)$

Because (-8) is being divided by (2+k), then (2+k) can't be equal to 0, so:

$2+k=0$ if $k=-2$

This means that k can be any number different than -2, and for each of these solutions, there is a different solution for y, allowing also, different solutions for x.

For example, if k=0 then

$y=-8/(2+0)$ which give us y=-4, and, because: