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
Anuta_ua [19.1K]
3 years ago
14

PLEASE HELP IM BEING TIMED!!! WILL MARK BRAINLIEST FOR CORRECT ANSWER!!! 100PTS!!!

Mathematics
2 answers:
Oliga [24]3 years ago
7 0

Answer:

Both functions must have a constant rate of change.

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

From the first equation we know that both f (x) and g (x) must be of order 1 or of order 0, since the maximum exponent of X is 1. This indicates that both functions must have a constant rate of change , since the derivative of a function of order 0 or of order 1 is a constant.

From equation 2 we know that both f (x) and g (x) are composed of a single term, since the multiplication of both results in a single term (-9x). In addition, we verify that one of the functions is of order 0 and the other is of order 1, since the result of the product is of order 1.

If f (x) or g (x) are of order 0, which means that they are composed of only one constant, the rate of change of any of the 2  functions is 0.

Step-by-step explanation:

amid [387]3 years ago
4 0

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!

You might be interested in
Robert found a game spinner that was not completely labeled. The spinner is shown at right. Help Robert figure out what fraction
Paul [167]

Step-by-step explanation:

Where is the image of the spinner shown?

5 0
2 years ago
Please HELP <br><br> Examine the diagram
trapecia [35]

Step-by-step explanation:

A+80+15=180

A+95=180

A=180-95

A=85

B+85=180

B=180-85

B=95

6 0
2 years ago
What is the median of these numbers :<br> 6,7,7,8,8,4,7,6,4,6,8,7
jenyasd209 [6]

Answer:

7

Step-by-step explanation:

4,4,6,6,6,7,7,7,7,8,8

4,6,6,6,7,7,7,7,8

6,6,6,7,7,7,7

6,6,7,7,7

6,7,7

7

4 0
2 years ago
Read 2 more answers
Bicycle rental on the seawall at the beach cost a mandatory minimum of $5 for the first hour and then $4 for each additional hou
zzz [600]
Cost = fix cost + hourly cost - discount

Cost = 4* [5 + 4x - 4x(20/100)] = 4*[5 + 4x - 0.8x] = 4*[5 + 3.2x] = 20 + 12.8x

Answer: option B) 12.8x + 20
7 0
3 years ago
Read 2 more answers
6(z+9) I need help figuring this out
NNADVOKAT [17]
The answer should be 6z + 54 but I’m not completely positive.
8 0
2 years ago
Other questions:
  • Need help one step equations multiplication and Division
    9·1 answer
  • Music lessons cost $20 per week how much do 6weeks of lessons cost
    14·2 answers
  • How do you evaluate 9 p 7?
    7·1 answer
  • Find the axis of symmetry for each parabola.<br><br> a) y = -16x^2 + 64x - 25
    10·2 answers
  • MAJORR HELP!
    6·1 answer
  • Angie baked 100 cookies and 20 brownies.She wants to switch them into equal groups in the bank so each group must have the same
    6·1 answer
  • 2(x+4) - (y•8)<br><br> when x=1/8 and y=3/16<br><br> A 11/4<br> B 65/2<br> C 21/4<br> D 27/5
    7·1 answer
  • HELP PLEASEEEEE, I'LL GIVE BRAINLEST​
    7·1 answer
  • f f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))? On a coordinate plane, a
    11·1 answer
  • 12c : 48c simplest form
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!