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
If f(x)=3x-1 and g(x)=x+5, find (f o g)(x) and (g o f)(x)<br><br> (f o g)(x)=<br><br> (g o f)(x)
Nuetrik [128]

Answer:

(f o g)(x)= 3x + 14

(g o f)(x) = 3x + 4

Step-by-step explanation:

(f o g)(x) = f(g(x)) = f(x + 5) = 3(x + 5) - 1 = 3x + 15 - 1 = 3x + 14

(g o f)(x) = g(f(x)) = g(3x - 1) = 3x - 1 + 5 = 3x + 4

3 0
2 years ago
The Marked price of an article is rupees 5000 .This price is 25% above the cost price. If the article is sold by allowing 10% di
Brilliant_brown [7]

Answer: 13%

Step-by-step explanation:

Step 1:

5000

10% of 5000=500

5% of 5000=250

25%=500+500+250= 1250 rupees

so...

5000-1250= 3750 INR, which is the original price, <u>BEFORE THE 25% WAS ADDED</u>

but..

They only want a 10% discount of the price which is 25% above the cost (5000). So essentially we want to find  15%, because 25%-10%=15%

so if...

10%=500

5%=250

15%=750 INR

this means the price with the 10% discount off 25%= 4250 INR (5000-750)

now we need to find the percentage change. For this we need to subtract the price with the 15% discount with the price BEFORE THE 25% was added

e.g 4250-3750= 500INR

Then.. divide this price with the original price before the 25% was added

e.g 500/3750= 2/15=0.13

So...

Convert 0.13 into a percentage=13%

The PERCENTAGE PROFIT of the owner is 13%

P.S Please could someone double check this answer as I am only 15 years old and may have gotten some working out wrong! Thank you

3 0
2 years ago
A store is having a sale where winter clothes are 60% of the original price. A sweater is on sale for $30. What is the original
Thepotemich [5.8K]

Answer:$50

Step-by-step explanation:

So we have the sweater that’s $30 with a sale of 60% of the original price.

That means $30=60% of the original

So

30=60%start with this

5=10% divide 6 by both sides to get 10%

50=100% times by 10 to get 100%, which is the original price.

So the original price of this sweater is $50

:D

4 0
3 years ago
Read 2 more answers
Micheal is 3 times as old as Brandon. 18 years ago, Micheal was 9 times as old as Brandon.
77julia77 [94]

Step-by-step explanation:

18÷3=6

6×9=54

HOPE THIS HELPS!!

5 0
3 years ago
Please help me with this pre algebra question
Nikolay [14]

Answer: 11

Step-by-step explanation:

The sum of 8 and 3

Sum is the same as addition.

Therefore, the equation is 8+3

Solve 8+3

8+3=11

6 0
3 years ago
Other questions:
  • The volume of a fish tank is 20 cubic feet. If the density is 0.2fish over feet cubed, how many fish are in the tank?
    5·2 answers
  • Alice solved the following equation:
    9·2 answers
  • PLEASE HELP THESE ARE URGENT
    13·1 answer
  • Manuela has two boxes. The larger of the two boxes has dimensions of 15cm by 25cm by 29 cm. The smaller of the two boxes is a cu
    10·1 answer
  • In this problem, we explore the effect on the mean, median, and mode of adding the same number to each data value. Consider the
    13·1 answer
  • Alycia created a personal budget for the upcoming month. She received a salary of $2,700 and had various fixed and variable expe
    13·1 answer
  • Which is bigger 7/10 or 13/16
    13·2 answers
  • NEED HELP ASAP! Question in the photo.
    11·1 answer
  • Given: m =-2/3
    6·1 answer
  • What is the intermediate step in the form (x+a)^2=b as a result of completing the following equation? Please help.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!