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4 years ago

PLZ HELP What is the solution to the system of equations below?

Mathematics

2 answers:

Anarel [89]4 years ago

7 0

Answer:

A. (–8, 2)

Step-by-step explanation:

The given system is

$y=\frac{1}{2}x+6\\ y=-\frac{3}{4}x-4$

Let us equate both of them to get:

$\frac{1}{2}x+6=-\frac{3}{4}x-4$

Multiply through by 4 to get:

$4*\frac{1}{2}x+4*6=4*-\frac{3}{4}x-4*4$

Simplify:

$2x+24=-3x-16$

Group similar terms:

$2x+3x=-16-24\\5x=-40\\x=-8$

Put x=-8 in the first equation:

$y=\frac{1}{2}(-8)+6=-4+6=2$

The correct answer is A

Sergeu [11.5K]4 years ago

5 0

Answer:

A. (–8, 2)

Step-by-step explanation:

You might be interested in

Which statement best describes how to determine whether f(x) = 9 – 4x2 is an odd function?

Elza [17]

For this case we have the following definitions:

A function is even if, for each x in the domain of f, f (- x) = f (x). The even functions have reflective symmetry through the y-axis.

A function is odd if, for each x in the domain of f, f (- x) = - f (x). The odd functions have rotational symmetry of 180º with respect to the origin.

We then have the following function:

$f (x) = 9 - 4x ^ 2$

Applying the definitions we have:

$f (-x) = 9 - 4 (-x) ^ 2\\f (-x) = 9 - 4 (x) ^ 2\\f (-x) = f (x)$

Answer:

The function is not odd because it is fulfilled:

$f (-x) = f (x)$

Therefore, the function is even.

5 0

3 years ago

Read 2 more answers

If you earn $134 in 8 hours, how much do you earn per hour?

White raven [17]

Answer:

1.75

Step-by-step explanation:

because you divided the money you earned by how much time you worked

7 0

3 years ago

Read 2 more answers

28, 45, 12, 34, 36, 45, 19, 20

Alborosie

1) Mean of the set of data: 29.88

2) Mean absolute deviation: 10.13

3) See explanation

Step-by-step explanation:

The mean of a set of data it is calculated as

$\bar x = \frac{1}{N}\sum x_i$

where

N is the number of data in the set

$x_i$ is the value of each point in the dataset

For the set of data in this problem, we have:

$x_i =[28, 45, 12, 34, 36, 45, 19, 20]$

And the number of values is

N = 8

Therefore, we can calculate the mean:

$\bar x = \frac{1}{8}(28+ 45+ 12+ 34+ 36+ 45+ 19+ 20)=\frac{239}{8}=29.88$

The mean absolute deviation of a set of data is given by

$\delta = \frac{1}{N}\sum |x_i-\bar x|$

where

N is the number of values in the dataset

$x_i$ are the single values

$\bar x$ is the mean of the dataset

The dataset here is

$x_i =[28, 45, 12, 34, 36, 45, 19, 20]$

The mean, calculated in part 1), is

$\bar x = 29.88$

And

N = 8

Therefore the mean absolute deviation is

$\delta = \frac{1}{8}(|28-29.88|+|45-29.88|+|12-29.88|+|34-29.88|+|36-29.88|+|45-29.88|+|19-29.88|+|20-29.88|)=\frac{81}{8}=10.13$

The mean of a dataset is the sum of the single values of the dataset divided by the number of values. The mean represents the value $\bar x$ for which, if the dataset would have N values all equal to $\bar x$ , the sum of the values of the dataset would be the same as the sum of the actual values.

The mean absolute deviation for a set of data represents the average of the absolute deviations of the single points from the mean of the dataset. This quantity gives a measure of the "dispersion" of the points around the mean: in fact, the larger the mean absolute deviation is, the more the points are "spread" around the mean of the dataset. Instead, if the mean absolute deviation is small, it means that the points are closer to the mean value.

Learn more about mean and spread of a distribution:

brainly.com/question/6073431

brainly.com/question/8799684

brainly.com/question/4625002

#LearnwithBrainly

7 0

4 years ago

How many candy bars did Aaliyah start with if she sold them at a constant rate

nikklg [1K]

We can’t answer this because we don’t have the numbers

3 0

3 years ago

4/5 x = 8 i need to show my work

Anika [276]

Answer:

x=10

Step-by-step explanation:

I'm assuming you needed to solve for x. Here is how you do it:

first, divide both sides by 4/5 to get x by itself.

this will give you x=8 divided by 4/5.

To solve 8 divided by 4/5 you do keep switch flip.

keep the first number (8), switch the sign (division to multiplication), and flip the other fraction (4/5 to 5/4) then you can just multiply across the top (8/1 *5/4) which equals 40/4. This simplified is 10

4 0

3 years ago