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vagabundo [1.1K]
3 years ago
12

1. Which of the following relations are functions?

Mathematics
1 answer:
klasskru [66]3 years ago
8 0

Answer:

R1 = {(1, 7) (2, 7) (4, 7) (6, 7)}

R3 = {(x, y) (y, z) (z, t) (t, v)}

R1 and R3 are functions because first element in the ordered pair is not repeating, i.e they have unique images

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Scott is reading two books at the same time to prepare for a report he is writing. So far, he has read 407 of the total number o
Hitman42 [59]

Answer:

The system of equations are

x+y=557

\frac35x+\frac56 y=407

The total pages in shorter book is 245

The total pages in longer book is 312

Step-by-step explanation:

Given that,

Scott has read 407 of the total number of 557 pages, which \frac35 of the shorter book and \frac56 of longer book.

Total number of pages of shorter book be x and longer book be y.

Then,

\frac35 page of the shorter book  =\frac35 x

\frac56 pages of the longer book = \frac56y

So, he has read =\frac35x+\frac 56y

Total number of pages of both book is = x+y

According to the problem,

x+y=557.........(1)

\frac35x+\frac56 y=407.......(2)

We can write equation (2) as

\frac35x+\frac56 y=407

\Rightarrow \frac{18x+25y}{30}=407

\Rightarrow {18x+25y}=407\times 30

\Rightarrow {18x+25y}=12,210......(3)

Now 18 times of equation (1) subtract from equation (3)

   18x+25y=12210

   18x+18y=10026

-        -        -

_______________

        25y-18y=12,210-10,026

     ⇒7y=2,184

     \Rightarrow y=\frac{2184}{7}

     ⇒y= 312

Plug y=312 in equation (1)

x+312=557

⇒x=557-312

⇒x=245

The total pages in shorter book is 245

The total pages in longer book is 312

5 0
3 years ago
I NEED THE ANSWER QUICK (find the distance between the man and the top of the tree)
JulijaS [17]

Answer:

The distance would be about 32 (31.62) feet.

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
I'm trying to find the answer to this please help!
timofeeve [1]
Ion know bro you tryna help me
5 0
3 years ago
hallie is trying to win the grand prize on a game show. Should she try her luck by spinning a wheel with 6 equal sections labele
Valentin [98]
I would say she should spin the wheel because, if she rolled the dice it would take a long time to get 2 5's on both dice at one time.
Hope this helps!
5 0
3 years ago
Read 2 more answers
The first four terms of a sequence are shown below: 9, 5, 1, â’3 Which of the following functions best defines this sequence? f(
matrenka [14]

The function that best defines this arithmetic sequence is:

  • f(n) = f(n - 1) - 4, f(1) = 9

<h3>What is an arithmetic sequence?</h3>
  • In an <em>arithmetic sequence,</em> the <u>difference between consecutive terms is always the same</u>, called common difference d.

The recursive function that defines the sequence is:

f(n) = f(n - 1) + d

f(1) = f_0

  • In which f_0 is the first term.

In this problem, the sequence is: {9, 5, 1, -3}

  • Each term is the previous term subtracted by 4, hence d = -4.
  • The first term is 9, hence f_0 = 9.

Hence, the function is:

  • f(n) = f(n - 1) - 4, f(1) = 9

You can learn more about arithmetic sequences at brainly.com/question/6561461

5 0
3 years ago
Read 2 more answers
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