All categories

3 years ago

What is solution to linear system below?

Mathematics

2 answers:

madreJ [45]3 years ago

3 0

Answer:

The answer to your question is (0, 7)

Step-by-step explanation:

Data

Equation l 2x - 2y = -14

Equation ll y = -6x + 7

Process

1.- Solve this system by substitution

- Substitute equation ll in equation l

2x -2(-6x + 7) = -14

- Expand

2x + 12x - 14 = -14

-Simplify

14x = -14 + 14

14x = 0

x = 0/14

x = 0

2.- Substitute x in equation ll to find y

y = -6(0) + 7

y = 0 + 7

y = 7

3.- Solution

(0, 7)

9966 [12]3 years ago

3 0

Answer: option 2(0, 7)

Step-by-step explanation:

The given system of linear equations is expressed as

2x - 2y = - 14- - - - - - - - - - - 1

y = - 6x + 7- - - - - - - - - - 2

We would apply the method of substitution. Substituting y = - 6x + 7 into equation 1, it becomes

2x - 2(- 6x + 7) = - 14

2x + 12x - 14 = - 14

14x - 14 = - 14

Adding 14 to the left hand side and the right hand side of the equation, it becomes

14x - 14 + 14 = - 14 + 14

14x = 0

Dividing the left hand side and the right hand side of the equation by 14, it becomes

x = 0

Substituting x = 0 into equation 2, it becomes

y = - 6 × 0 + 7

y = 7

You might be interested in

A student measured the length of a certain bar as 20 cm, which exceeded the actual length by 10% the actual length of the bar wa

N76 [4]

Answer:

18cm

Step-by-step explanation:

20/10 = 2cm

So since 2x10 is 20 and it exceeded only 10%, we only subtract 2 from 20 which you leave you with 18cm.

6 0

3 years ago

What is the distance between each pair of points (-3,3),(5,0)

Effectus [21]

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have the points (-3, 3) and (5, 0).

Substitute the coordinates of the points to the formula:

$d=\sqrt{(5-(-3))^2+(0-3)^2}=\sqrt{8^2+(-3)^2}=\sqrt{64+9}=\sqrt{73}$

7 0

4 years ago

How to do this question plz answer my question

ahrayia [7]

I gotchuuuu

Ok so angle ABC we’re gonna call it X

Angle BCD is 2X

The trick is the sum of angles of a pentagon is 540 degrees.

90 + 115 + 125 + 2X + X = 540
3X = 540-330
X = 70

SoOoOoOoOooooo

Angle BCD is 140 degrees !!

7 0

3 years ago

Suppose you have two populations: Population Along dashAll students at a state college (Nequals21,000) and Population Blong d

Leno4ka [110]

Answer:

See the explantion below

Step-by-step explanation:

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma)$

We know that the margin of error for a confidence interval is given by:

$Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

If we see the formula (1) at the same confidence level, for example 95% and with the same sample size the margin of error just depends of the deviation. If the population deviation for population A is higher than the population deviation for B then A will have more margin of error than B.

On the other case if the deviation for population A is lower than the deviation for population B, then we will have less margin of error for population A than population B.

And the other possible case if both population have the same deviation, then both have equal margin of error.

6 0

3 years ago

Bill is playing a board game that has a spinner divided into equal sections numbered 1 to 20.

erik [133]

I’m pretty sure it is d

3 0

3 years ago