Determine whether the formula describes y as a function of x. Explain your reasoning. Y=9x+1

Mathematics

1 answer:

jek_recluse [69]3 years ago

8 0

Yes becuase every input of x gives an output of y and vice versa

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Esther drove to work in the morning at an average speed of 45 miles per hour. She returned home in the evening along the same ro

nydimaria [60]

The key is Esther travelled the same distance - x - in both her morning and evening commute.

45(time she took in the morning, or p) = x
30(time she took in the evening, or q) = x

Therefore 45(p) = 30(q), or divide both sides by 5 and get 9(p) = 6(q). I know you can divide it further, but these numbers are small enough and it's not worth the time.

Since the whole trip took an hour, (p + q) = 60min, and so, p = 60-q.

Therefore 9(60-q) = 6q or 540-9q = 6q. So 540 = 15q, which makes q = 36. If q = 36, then by (p+q)=60, p (the time she took in the morning) must equal 24.

45 miles per hour, her speed in the morning, times (24/60) hours, her time, makes 18 miles travelled in the morning. If you check, 30 miles per hour times (36/60) hours also makes 18 miles in the evening.

<span>Hope that makes a little sense. And I also hope it's right</span>

7 0

3 years ago

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Consider the function f (x) = x2.

klio [65]

Answer: The graph is shifted 2 units to the right.

Step-by-step explanation:

Given a function f(x), we know that one transformation rule is:

If $f(x-k)$ then the function is shifted "k" units to the right.

Therefore, for the function $f(x)=x^{2}$ , when we subtract 2 from the input, then we get the function g(x) in the form:

$g(x)=(x-2)^{2}$

We can conclude that subtracting 2 from the input of the function $f(x)=x^{2}$ , then the graph is shifted 2 units to the right.

5 0

3 years ago

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Can you help me image is here which 2 Should I drag

labwork [276]

The answers you should drag are 3 and 4

4 0

3 years ago

W<br><img src="https://tex.z-dn.net/?f=41%20%5Cdiv%20646%20%3D%20" id="TexFormula1" title="41 \div 646 = " alt="41 \div 646 = "

krek1111 [17]

This is your answer and for the multiplication I gave it to you step by step

3 0

2 years ago

Which of the following pairs of functions are inverses of each other

Ghella [55]

Option (A) represents the function and its inverse of a function option (A) is correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function and inverse of a function shown in the picture.

Checking for option (A):

$\rm f(x) = \dfrac{x}{4}+10 \ \ \ and \ \ \ g(x) = 4x -10$