All categories

3 years ago

Match each statement with its corresponding value for the system below:

Mathematics

1 answer:

Mandarinka [93]3 years ago

8 0

Answer:

1. 1 point

2. The x-coordinate of the solution = 2/17

3. The y-coordinate of the solution = -16/17

Step-by-step explanation:

Given that the equation is of the form;

y = -2³×x and y = 9·x - 2, we have;

y = -8·x and y = 9·x - 2

1. Given that the two lines are straight lines, the number of points of intersection is one.

2. The x-coordinate of the solution

To find a solution to the system of equations, we equate both expression of the functions and solve for the independent variable x as follows;

-8·x = 9·x - 2

-8·x - 9·x= - 2

-17·x = -2

x = 2/17

The x-coordinate of the solution = 2/17

3. The y-coordinate of the solution

y = 9·x - 2 = 9×2/17 - 2 = -16/17

y = -16/17

The y-coordinate of the solution = -16/17.

You might be interested in

A realtor collects the data set given in DS 12.2.4 concerning the sizes of a random selection of newly constructed houses in a c

Yuliya22 [10]

The table is missing in the question. The table is attached below.

Solution :

Let X = appraised value

Y = area (square feet)

The regression line is given by :

$\hat y = b_0+b_1X$

$b_1=\frac{n\sum XY-\sum X \sum Y}{n \sum X^2-(\sum X)^2}$

$=\frac{15(5964990)-(2157)(33370)}{15(404799)-(2157)^2}$

$=12.3267$

$b_0=\frac{\sum Y}{n}-b_1\frac{\sum X}{n}$

$=\frac{33370}{15}-\left(12.3267 \times \frac{2157}{15}\right)$

$b_0=452.0841$

The regression line is :

$\hat Y = 452.0841+12.3267 X$

To estimate the error variance, we have:

Error variance, $\sigma =\sqrt{\frac{\sum (Y-\hat Y)^2}n-2{}}$

$=\sqrt{\frac{587682.3}{15-2}}$

$=212.6178$

8 0

3 years ago

Mike wants to make meatloaf. His recipe uses a total of 7 pounds of meat. If he uses a 3 to 1 ratio of beef to pork, how much po

SSSSS [86.1K]

Total meat in the recipe he wants to use = 7 pounds

Beef : pork = 3 : 1

Total pork that he will use = $\frac{1}{3+1}$ x 7 pounds

= 7/4 pounds

hope this helps

6 0

3 years ago

Personal Statement

leonid [27]

Well, as it says, your first statement needs to explain what interests you about the program.

If you feel you need multiple paragraphs, let the first be an introduction, around 4 or 5 sentences. Include, possibly what pushed you to apply for this program, what you're looking forward to, and a reason for them to hire you. You can add a thesis statement of sorts if that helps (a short statement, usually one sentence, that summarizes the main point or claim of a paper). The first paragraph can be short, it doesn't need to be too in-depth. You can talk more about that later in your statement.

The body paragraphs must include your goals and extracurricular interests (what courses would you like to take and why?).

As it states, you must list your GPA, what interests you about the Major and/or Minor/Workshop courses, and what you can contribute (you can build off of what you said in your first paragraph here).

It is very important to share additional details you think are important, such as accomplishments you are proud of, for example.

A conclusion would be nice, a short and sweet wrap-up of your overall statement (not too long).

Remember, the name of the game is to sound confident and prove to them that you are in fact a good fit for the program! Good luck! Stay focused ^^

7 0

3 years ago

Can someone help me with this

mylen [45]

Answer:

y= 3x+ 1

Step-by-step explanation:

-3x + 2y =2

+3x +3x

---------------------

2y = 3x +2

----- --------

2 2

y = 3x + 1

5 0

3 years ago

What are some effects that can occur in a country if large numbers of people are out of work?

krok68 [10]

Answer:

It increases national debt. This happens because the unemployed don't participate in doing taxes because they do not have a job. It also effects other businesses because people with less money won't buy as many things which leads to other companies losing money.

7 0

3 years ago