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
Gwar [14]
3 years ago
15

A line that includes the points ( 1 , g ) and ( - 3 , - 2 ) has a slope of - 1. What is the value of g ?

Mathematics
1 answer:
weqwewe [10]3 years ago
6 0
Steps:
~~~~~~~~
(g-(-2))/(1-(-3))=-1
(g+2)/(1+3)=-1
(g+2)/4=-1
g+2=-4
g=-6


You might be interested in
PLEASE HELP IM BEING TIMED!!! WILL MARK BRAINLIEST FOR CORRECT ANSWER!!! 100PTS!!!
amid [387]

Answer:

B and D.

Step-by-step explanation:

We know that when we added the two functions together, we get:

h(x)=-x+9

However, when we multiplied them together, we get:

j(x)=-9x

Let's first consider what we can determine from this.

If we add them together, we get a linear equation. However, this doesn't mean that our two original functions are linear since if we have, say, -x^2 and x^2-x+9, they will cancel and form a linear equation if we add them together.

<em>However</em>, since we know that if we multiply the two functions together, we get a linear equation, this means that both our original functions must be linear.

<em>But</em>, if we multiplied two linear functions, then we should get a quadratic, since x times x will yield x².

Therefore, this means that one of our linear functions is a horizontal line with no x variable. This is the only way to have a linear equation when multiplied.

Therefore, we have determined that both of our original functions are linear functions, and one (only one of them) is a horizontal line.

Let's go through each of the answer choices.

A) Both functions must be quadratic.

This is false as we determined earlier. If this was true, then the resulting function should be a quartic and not a line. A is false.

B) Both functions must have a constant rate of change.

Remember that all linear equations have a constant rate of change.

Since we determined that both our original functions are linear equation, this means that both our functions will have a constant rate of change.

So, B is true.

C) Both functions must have a y-intercept of 0.

Remember that one of our functions is a horizontal line.

If the y-intercept was 0, then the equation of our horizontal line will be:

y=0

And we know that anything multiplied by 0 will give us 0. However, the product of our function is -9x.

So, C cannot be true.

Rather, only our linear equation (not the horizontal line) may have a y-intercept of 0.

D) The rate of change of either f(x) or g(x) must be 0.

Remember that we determined that one of our lines must a horizontal.

Remember that horizontal lines have a slope of 0. In other words, the rate of change is 0.

So, D is true.

E) The y-intercepts of f(x) and g(x) must be opposites.

Well, since B and D is are true, this must be false since we can only select two options ;D

But, we can think about this. Note that if we multiply the two functions, we have a function <em>without</em> a y-intercept.

Remember that our horizontal line is <em>not</em> 0. So, the y-intercept of the horizontal line is a number.

So, the opposite of a number is another number.

So, if we multiply two non-zero numbers, we <em>must</em> get another number.

However, from our product, j(x)=-9x, we don't have another number. The y-intercept from this is 0.

Therefore, the two y-intercepts <em>cannot</em> be opposites of each other. If it was so, then we should have a y-intercept. So, E must be false.

In fact, this means that the y-intercept of our line (not the horizontal one) <em>must </em>be 0.

So, our answers are B and D.

And we're done!

Edit: Some (minor) errors in reasoning. Sorry!

4 0
3 years ago
Read 2 more answers
What is 3.75 as a mixed number in its simplest form
Dahasolnce [82]
3\frac{3}{4}
7 0
2 years ago
What is the greatest common factor for the list below?<br> 39, 52, 26
Zanzabum

Answer:

13

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the inverse of the function below?
vodomira [7]

Answer: C

Step-by-step explanation: With inverse equations, you switch y and x (y=f(x)) and undo/reverse the steps towards x.

1. Multiply by 3

2. Add 2

Equation by itself

0. x

1. 3(x)

2. 3(x+2)

8 0
3 years ago
Read 2 more answers
PLEASE HELP!!!Design a chart, flow chart, mind map, or some other visual to help you organize the information that can easily be
Semenov [28]

Answer:

I can't post a picture, so I'll just type it out.

Standard form: ax^2+bx+c

Quadratic Formula: -b + or - Square root of b^2-4ac/2a

Vertex form: a(x-h)+k

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • 1384792 round each number to the place of underline digit is 8
    15·1 answer
  • What is 4/9÷2/3 show work please!
    10·2 answers
  • In the past you paid $800$800 per month to rent your apartment. You now pay $900$900 per month for your rent. What is the percen
    12·2 answers
  • Solve the proportions, round your answers to 1 decimal digit. <br> 24/66 = 9/x
    15·1 answer
  • The common ratio in a geometric series is 444 and the first term is 333.
    13·1 answer
  • In a sale, all normal prices are reduced by 15%
    15·1 answer
  • Pls help this was due 3 minutes ago!!!!
    11·2 answers
  • A line passes through the origin and has a slope of 2/3​
    15·1 answer
  • The baseball coach bought 6 new baseballs for $1.20 each. The basketball coach bought 5 new basketballs for $9.10 each. How much
    14·2 answers
  • Find the length of a photograph whose width is 10 inches and whole proportions are the same as a 5-inch by 8-inch photograph.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!