1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Blababa [14]
3 years ago
7

What is the standard form equation of the line shown below? Graph of a line going through negative 2, 3 and 1, negative 3

Mathematics
1 answer:
V125BC [204]3 years ago
6 0

Answer:

3. 2x + y = −1

Step-by-step explanation:

To find the equation of the line, we write it first in the slope-intercept form:

y=mx+q

where

m is the slope

q is the y-intercept

From the graph, we see that the line crosses the y-axis at y = -1, so the y-intercept is -1:

q=-1

Now we have to find the slope, by calculating the rate of change of the line through 2 points:

m=\frac{y_2-y_1}{x_2-x_1}

Taking the two points at (-2,3) and (1,-3), we find:

m=\frac{-3-3}{1-(-2)}=\frac{-6}{3}=-2

So the equation of the line is

y=-2x-1

Now we have to re-arrange it in the standard form, so in the form

ax+bx=c

where a, b and c are integer numbers.

To do that, we simply add +2x on both sides of the equation of the line in the slope-intercept form, and we get:

y+2x=-1

So, option 3).

You might be interested in
Please someone help me out
hichkok12 [17]

Answer:

Hopefully you can see the image.

Basically what's going on is the shape is being reflected over this line (x = -1) rather than the origin line.

Hope this helps :)

3 0
3 years ago
01:35.0
aksik [14]

Answer:

I Cannot See A Graph, But I Know That It Falls At 48 Feet Per Second So I Hope This Could Help

Step-by-step explanation:

Again, I Cant See Any Graphs So I Cannot Help You, I'm so sorry :/

5 0
3 years ago
PLS_HELP
Sindrei [870]

Answer: x = 3.4

Step-by-step explanation: took the test and got it right. if you need help on this kind of work u can use things like (graphing gens) or math to help you more.

4 0
3 years ago
For the function g(x)=3-8(1/4)^2-x
Reika [66]

Using function concepts, it is found that:

  • a) The y-intercept is y = 2.5.
  • b) The horizontal asymptote is x = 3.
  • c) The function is decreasing.
  • d) The domain is (-\infty,\infty) and the range is (-\infty,3).
  • e) The graph is given at the end of the answer.

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

The given function is:

g(x) = 3 - 8\left(\frac{1}{4}\right)^{2-x}

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

Question a:

The y-intercept is g(0), thus:

g(0) = 3 - 8\left(\frac{1}{4}\right)^{2-0} = 3 - 8\left(\frac{1}{4}\right)^{2} = 3 - \frac{8}{16} = 3 - 0.5 = 2.5

The y-intercept is y = 2.5.

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

Question b:

The horizontal asymptote is the limit of the function when x goes to infinity, if it exists.

\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2+\infty} = 3 - 8\left(\frac{1}{4}\right)^{\infty} = 3 - 8\frac{1^{\infty}}{4^{\infty}} = 3 -0 = 3

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

\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2-\infty} = 3 - 8\left(\frac{1}{4}\right)^{-\infty} = 3 - 8\times 4^{\infty} = 3 - \infty = -\infty

Thus, the horizontal asymptote is x = 3.

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

Question c:

The limit of x going to infinity of the function is negative infinity, which means that the function is decreasing.

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

Question d:

  • Exponential function has no restrictions in the domain, so it is all real values, that is (-\infty,\infty).
  • From the limits in item c, the range is: (-\infty,3)

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

The sketching of the graph is given appended at the end of this answer.

A similar problem is given at brainly.com/question/16533631

8 0
2 years ago
A school plays a series of 6 soccer matches. For each match there are 3 possibilities: a win, a draw or a loss. How
Sphinxa [80]

Answer:

There are 729 possible results are there for the series

Step-by-step explanation:

If we have n trials, each with m possible outcomes, the total number of possible outcomes is:

T = m^{n}

In this question:

6 games(trials), so n = 6.

Each with three possible outcomes, so m = 3

Then:

T = 3^{6} = 729

There are 729 possible results are there for the series

7 0
3 years ago
Other questions:
  • The graph represents function 1, and the equation represents function 2:
    11·1 answer
  • −2⋅f(−6)−7⋅g(−7) = ?
    10·1 answer
  • What's the unit rate $4.80 for 6 cans
    10·1 answer
  • Which of the following is the radical expression 5/a to the 7th power
    6·1 answer
  • List 3values that would mak this inequality true 2n<6
    9·1 answer
  • Calculate the total cost, total depreciation, and annual depreciation for the following assets by using the straight-line method
    10·1 answer
  • Write the equation of the line that passes through the points (0,7)
    6·2 answers
  • What is the value of x in the equation 3x - 1/9y = 18, when y = 27?
    10·2 answers
  • Which of the following expressions give the distance between the endpoints of the segment shown on the number line below? Select
    6·2 answers
  • Hi! are you good at math? well feel free to help!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!