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Karo-lina-s [1.5K]

3 years ago

14

What is the solution for the system of equations 2x-y=7 y=2x + 3

2 answers:

Klio2033 [76]3 years ago

5 0

Solving the second equation for y..

2x-y=7 divide both sides by -1

y-2x=-7 add 2x to both sides

y=2x-7

When a solution exists, y=y, so we can say:

2x-7=2x+3 subtract 2x from both sides

-7=3

-1 != 3

Since the above is never true, there are no solutions to this system of equations.

Intuitively, this is because both lines have the same slope, they are parallel, and have an different y-intercept, thus they will never cross each other...

Advocard [28]3 years ago

5 0

Answer:

b

Step-by-step explanation:

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(-5,8) and (-10,3) what is the slope

ale4655 [162]

Answer:

The slope is 1.

Step-by-step explanation: when you graph them you do the rise/run you get 1 which is the slope.

4 0

3 years ago

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Elect the correct answer. What are the solutions of this quadratic equation?

zvonat [6]

Answer:

Rewrite equation as:

x^2 + 2x +2 =0

a = 1 b = 2 c = 2

x = (-b +- sqr root (b^2 -4ac)) / 2a

x = (-2 +- sqr root (2^2 - 4*1*2) ) / 2

x = (-2 +- sqr root (4 - 8) ) / 2

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x = -1 +- i

Step-by-step explanation:

6 0

3 years ago

HELP, thanks, If a triangle has a side length of 8 inches, and another side length of 5 inches, which of the

Anna71 [15]

Answer:

a. 7

Step-by-step explanation:

So a triangle a two sides that will always sum up to be greater than the third side.

Meaning:

a + b > c

a + c > b

b + c > a

So here, we're given a and b:

8 + 5 > c

8 + c > 5

5 + c > 8

Plug in the values:

13 > 7

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12 > 8

These are all true, so it's probably 7.

13 > 2

10 > 5

7 > 8 This one is not true, so not 2.

13 > 13 This is not true, so not 13.

If not 13, we can't go any higher and so it can't be 15.

4 0

3 years ago

The students in your class are going on a field trip. The ratio of teachers to students must be 1 to 7.

andrew-mc [135]

Answer:

4 teachers for 28 students

Step-by-step explanation:

28/7 = 4

8 0

3 years ago

You're at a clothing store that dyes your clothes while you wait. You get to pick from

Art [367]

Answer:

The probability that you'll end up with socks that aren't blue is $\frac{1}{6}$ .

Step-by-step explanation:

The pieces of clothing available:

X = {shirt, pants, socks and hat}

The color options:

Y = {purple, blue and orange}

So, if a person picks a shirt he/she has 3 color options.

Similarly for pants, socks and hat there are 3 color options each.

That makes 12 possible pieces of clothing.

That is, there are 12 total options available.

Now, compute the probability of selecting a socks as follows:

$P(Socks)=\frac{1}{4}$

Compute the probability of selecting the color blue as follows:

$P(Blue)=\frac{1}{3}$

Compute the probability of selecting a socks that are not blue as follows:

$P(Socks\cap not\ Blue)=P(Socks)\times [1-P(Blue)]$

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Thus, the probability that you'll end up with socks that aren't blue is $\frac{1}{6}$ .

6 0

4 years ago

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