What are some things you know about linear functions?

9514 1404 393

Answer:

  Each term in the pattern will be odd.

Step-by-step explanation:

The first differences are ...

  7 -3 = 4

  15 -7 = 8

These differ by 4, and the second is double the first.

These relationships between the first differences give rise to two possible sequences: a) an exponential sequence; b) a quadratic sequence. We can use a graphing calculator to find the coefficients of each of the patterns.

Exponential Sequence

  a[n] = 2·2^n -1

  The sequence is 3, 7, 15, 31, 63, 127, 255, 511, 1023, 2047.

  The 10th term is 2047.

Quadratic Sequence

  a[n] = 2n^2 -2n +3

  The sequence is 3, 7, 15, 27, 43, 63, 87, 115, 147, 183.

  The 10th term is 183.

__

Based on the above, the only thing we can say about these sequences is that they are all odd numbers.

Clearly, the 10th term is not 30. 7 is not a multiple of 3, so that observation fails immediately. 15 is not prime, so that observation also fails immediately.

_____

Additional comment

The differences of first differences are called "second differences". The differences of those are "third differences". and so on. If you keep taking differences of a sequence described by a polynomial, the n-th differences being constant means the sequence is described by an n-th degree polynomial.

Here, if we assume the 2nd differences are constant at 4, then the sequence is described by a 2nd-degree polynomial. (Similarly, constant first-differences are described by a 1st-degree polynomial--a linear function.)

If sequential levels of differences are all exponential sequences, then the sequence itself is an exponential sequence. As here, it may have a vertical offset. The base of the exponential will be the common ratio of the differences. (Here, the first differences have a ratio of 8/4 = 2, so the sequence could be exponential with a base of 2.)

Answer:

2^-1

Step-by-step explanation:

2^2 *2 / 2^4

We know that 2^2 * 2 = 2^2 *2^1

a^b*a*c = a^(b+c)  so 2^2*2*1 = 2^(2+1)+ 2^3

2^3 / 2^4

We know that a^b / a^c = a^(b-c)

2^3 /2^4 = 2^(3-4) =2^-1

The equivalent of the given expression 2² × (2/2⁴) when simplified is; 2⁻¹

We are given the exponents expression;

2² × (2/2⁴)

Let us first multiply out the numerator to get;

2² × 2 = 2³

Thus, our overall expression is;

2³/2⁴

According to laws of exponents;

a^(b)/a^(c) = a^(b-c)

Thus;

2³/2⁴ = 2³⁻⁴

⇒ 2⁻¹

Read more about Exponents at; https://brainly.com/question/11761858

Divide y by x:

32/4 = 8

40/5 = 8

56/7 = 8

72/9 = 8

The constant of proportionality is 8

Answer:

Divide y by x:

32/4 = 8

40/5 = 8

56/7 = 8

72/9 = 8

The constant of proportionality is 8

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

difference means subtract

-3 - -12

Subtracting a negative is like adding

-3 + 12

9

Answer:

9

Step-by-step explanation:

Difference = -3 - (-12)

= -3 + 12

= 9

Answer:possible

Step-by-step explanation:

Answer:

Divide the number of contestants by 4 and when there is 120 contestants there is 30 winners

Step-by-step explanation:

Looking back at past sequences we can see that when we had 8 contestants we had 2 winners 8/4=2 and we also saw 16/4=4 so that was the formula now we just had to do it on 120 contestants and now we get 30 winners....Hope this helps! :)

Answer:

Step-by-step explanation:

The ratio of contestants to winners is 4 : 1 so to find the number of winners you must divide by 4, so you must divide 120 by 4, which is 30.

Answer:

58 and 11

Step-by-step explanation:

f-1(f(x))=x, so f-1(f(58))=58

f(f(5))=f(9)=11; (because f(5)=9)

The answer should be 58 and 11

Must click thanks and mark brainliest

Answer:

$116.06

Step-by-step explanation:

48.97 + 67.09 = 116.06

Answer:

$116,06

Step-by-step explanation:

48,97 + 67,09

Answer:

p=12

Step-by-step explanation:

Answer:

(2 + 3/7) + 4/7

Step-by-step explanation:

(2 + 3/7) + 4/7

Regrouping

2 +(3/7+4/7)

2 +(7/7)

2+(1)

3

Answer:

$26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

3 raffle tickets = $2 certificate

39 raffle tickets = ?

39 divide 3 = 13

13 * 2 = 26

39 raffle tickets = $26 certificate

Answer:

135%

Step-by-step explanation:

To represent a decimal to percentage, multiply by 100

1.35 x 100 = 135

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

h(3)=20

Step-by-step explanation:

h(3)=h(3-2)*h(3-1)=h(1)*h(2)=-10*-2=20

Answer:

20

Step-by-step explanation:

h(1) = -10

h(2) = -2

h(n) = h(n-2) * h(n-1)

Let n=3

h(3) = h(3-2) * h(3-1)

      = h(1) * h(2)

       = -10 * -2

       = 20

Answer:

I think the answer is 21

Step-by-step explanation:

The answer is 21 because we can simple reduce 26/39 = 2/3. And now that you have done that all we need to do is find what 14/w = 2/3 this is quite simple as we just have to mutiply the 3*7 to get 21 as your answer. I don't know if this is correct or not but this is my best answer.

Answer:

21

Step-by-step explanation:

14 : w = 26 : 39

w = 14 * 39 : 26

w = 21

Answer:

g

Step-by-step explanation:

Answer:

I think its A

Answer: 12

Step-by-step explanation:

Find the difference between the first and second points.

Since the x-coordinates are the ones changing, find the difference between them.

2 - (-3)

= 5

Then find the distance between the second and the third points.

Here, the y coordinates are the only ones changing, so we subtract them/or find the distance between them.

2-(-5)

=7

Now add the distances (5+7) and you get 12.

hope this helps!!:)

Answer: 45 units

Step-by-step explanation:

Find the coordinates of R and S

R = -25

S = 20

Then just subtract them to find the distance between them.

20 - (-25) = 45.

Answer:

45

Step-by-step explanation:

First, find out the specific locations of R and S: for R, it is-25, and for S, it is 20 (use the tick marks on the x-axis).

Next, to find out the distance between R and S, be sure to add the absolute value, rather than the actual numbers.

So, ∣R∣ + ∣S∣ = 25 + 20 = 45

Hope this helps and let me know if you have any more questions!

Answer:

Two ways to solve is to just do column addition or split 200+50+7 and add it to 400+30+8 first add 200+400 = 600, 50+30=80, 7+8 = 15. Add 600+80+15= 695.

Step-by-step explanation:

Answer:

695

Step-by-step explanation:

1.) 2a - 4b + 3ab -5a + 2b

= 3ab -3a -2b

2.) 4(2x+1)-3x

= 8x+4 -3x

= 5x + 4

3.) 4(p-5) +3(p+1)

= 4p-20 + 3p+3

= 7p -17

4.) 6(p+3q) - (7 + 4q)

= 6p+18q -7 -4q

= 6p + 14q -7

5.) 4rs -2s -3(rs +1) -2s

= 4rs -4s -3rs -3

= rs -4s - 3

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Answer:

The last answer or Distance a number is from zero

Step-by-step explanation:

It's this answer because absolute value is just how far a number is from zero for example | -1 | is equal to 1 because -1 is 1 away from zero. Hope this helps :)

Answer:

The last answer or Distance a number is from zero i think i dont know

Step-by-step explanation:

Answer:

Go to Slader.com and select the grade lvl and click the page number

Step-by-step explanation:

hope this helps

Slader.com

Step-by-step explanation:

Answer:

D. 2^7

Step-by-step explanation:

2^3 x 2^4 would equal 128. So, if you do the math for all of them:

A isn't correct because it equals 16.

B isn't correct because it equals 4096.

C isn't correct because it equals 16384.

D is correct because 2^7 is 128.

Hope this helped!

Answer:

The answer is A

Step-by-step explanation:

(I'm not 100% sure though, hope this helps.)

Answer:

-25 feet

Step-by-step explanation:

We know that the change in altitude for the air balloon is -1500 feet, all within a span of 60 minutes, which then we are asked what is the rate of change.

To find the rate of change, we have to be able to divide a number by both sides that will not give us a decimal or very odd number. To avoid getting a decimal, divide both sides by 60.

-1500/60 = -25

60/60 = 1

So the rate of change would be -25 feet

Answer: A

Step-by-step explanation: It is showing that the temp Atari is raising by 15 ( +15) then dropping by 15 (-15)

Hope this Helps :))

Answer:

3x6, (3)(6), 6+6+6

Step-by-step explanation:

The are asking which equation matches the situation,...

3 tables, 6 chairs per table = 3 x 6chairs = 18 chairs

3x6

(3)(6)

6+6+6

What they want you to do is put that equation 3x6 in the "Represent the Situation" box and the rest in the "Do not represent Situation" one

Answer:

b and d

Step-by-step explanation: