(1 point)
8. The ordered pairs (1, 2), (2, 4), (3, 8), (4,16), and (5,32) represent a function. What is a rule
that represents this function?
O y=x^2
O y=2x
O y=2^x
O y=x+2

Answers

Answer 1

9514 1404 393

Answer:

  (c)  y=2^x

Step-by-step explanation:

You can check each of the offered functions to see which one fits. It is often informative to check the last of the offered points.

  5^2 ≠ 32

  2×5 ≠ 32

  2^5 = 32 . . . . . a good candidate

  5 +2 ≠ 32

Only the third choice matches the given ordered pairs.

__

If you're trying to figure out the function, it is often useful to look at the differences between given values. The x-values differ by 1. The y-values differ by 2, 4, 8, 16. These are not constant, so the function is not linear (eliminates B and D). These differences don't have a common difference, so the function is not quadratic (eliminates A).

Both the y-values and their differences have a common ratio of 2, a strong indicator this is an exponential function with a base of 2 (matches C).


Related Questions

Suppose Set A contains 19 elements and Set B contains 69 elements. If the total number elements
in either Set A or Set B is 75, how many elements do Sets A and B have in common?

Answers

B u A = 48

B = 45

The part of set B not included in A is B - A∩B  = 45 - 7 = 38

Since B u A = 48,  A must have 48-38 = 10 elements (3 exclusive of B, 7 shared with B).

------

Alternatively, the inclusion-exclusion principle may be used:   A  +  B  - (A ∩ B) = A u B  

  A + 45 - 7 = 48

  A  = 48 - 45 + 7  

   A = 10

NOTE that I'm using A and B  to indicate the number of elements in each set, respectively.

More formally, one would write |A|  and |B| to indicate the cardinality (number of elements) of the set.

PLEASE HELP ⁉️ POR FAVOR SOMEONE IM DESPERATE tHIS IS DUE IN THE mORiNG!

Answers

Answer:

Just in case you want me to answer all the questions, I will

Step-by-step explanation:

Question 1): answer is 25

Question 2): answer is 24

Question 3): answer is 100%

24/25 = 96/100

Box Question 1): 21/25 = 84/100

Box Question 2): 15/20 = 75/100

Box Question 3): 47/50 = 94/100

Box Question 4): 28/30 = 93.3/100

Box Question 5): 19/45 = 42.2/100

Box Question 6): 3/4 = 75/100

If a digit is underlined, put a line ONLY over the underlined digit, it is repeating

I'm not completely sure if this is correct, but I really think it is..

I hope this helps!

tisha and her academic team are working

Answers

Answer:b equals T minus a minus c minus d all over 3 ⇒ 3rd answer

Step-by-step explanation:

- Tisha and her academic team have had three local matches

# Assume that the points of the local matches are a , c , d

- They will attend a district match

- District match points count for three times the number of points

 than local matches do

# Assume that the points of the district match is b

- T is the total points they will earned in the four matches

∵ The points in the local matches are a , c , d

∵ The point in district mach is 3b

∴ T = a + c + d + 3b

* Lets find b in terms of a , c , d , T

∵ T = a + c + d + 3b

- Subtract a from both sides

∴ T - a = c + d + 3b

- Subtract c from both sides

∴ T - a - c = d + 3b

- Subtract d from both sides

∴ T - a - c - d = 3b

- Divide both sides by 3

∴  

∴ b equals T minus a minus c minus d all over 3

Jane Rose’s semimonthly salary is $750. Her yearly salary is A.$9000 B. $12,500 C. $18,000 D. $19,500 E. $21,000

Answers

A because 750 times 12 because there is 12 months in a year. You get 9000

Answer:

C. $18,000

Step-by-step explanation:

Given that her semimonthly salary is $750, find her yearly salary.

Semimonthly means twice a month, meaning that she will receive 24 paychecks every year.

750x24=18,000

=$18,000

Hope this helps :)

What is the prime factorization of 144?
2
O 2x62
O 22 x 34
x
O 23 x 32
х
0 24 x 32
Х
Help pls thx

Answers

Answer:

2

Step-by-step explanation:

Hi do you have a photo? i’m confused with the listing

I REALLY NEED HELP CAN SOMEBODY PLZZZ HELP MEEEE

Answers

The mystery divisor is 18. I figured it out by dividing 4050 by 225.

1. Michael serves 1.5 quarts of juice for eight people if he’s going to serve 128 people how much juice does he need?


2. five out of nine people at Hawaiian Falls have a season pass if there are 360 people at the pool how many have a season pass?

Answers

Answer:

1. 24 qt

2. 200 people

Step-by-step explanation:

1. Use a proportion.

1.5 qt to 8 people = x qt to 128 people

1.5/8 = x/128

Cross multiply.

8x = 1.5 × 128

8x = 192

x = 24

Answer: 24 qt

2.

5/9 of number of people have a season pass.

number of people at pool = 360

5/9 × 360 = 200

Answer: 200 people

2.(04.05)
Kelsey painted 1/4
of her bedroom in 3/7
of an hour. At this rate, how long would it take her to paint the entire room?
A.3/28 of a hour
B.28/3 of an hour
C.12/7 of an hour
D.7/17 of an hour

Answers

Answer:

1/4 in 3/7th of an hour

1/4 = 3/7

multiply by 4

1 (whole room) = 12/7 (of an hour)

Answer:

12/7 of an hour

Step-by-step explanation:

I couldnt do the asnwer earlier but here it is the person above gave the answer worked out

solve pls brainliest

Answers

Answer:

Mixed Number = 2 9/10

Improper Fraction = 29/10

Step-by-step explanation:

Mixed Number = 29/10 = 2 9/10

Improper Fraction = 29/10

describe the domain and range of function D

pls help <3

Answers

Answer:

Domain- [0,7], Range- [0,20]

Step-by-step explanation:

The function f(x) = In(x) has a domain of all real numbers greater than zero and a range of all real numbers. The
inverse of this function is f^-1(x) = e^x

Which conclusion can be drawn by comparing the two functions?

The domain of f^-1(x) is all real numbers and the range is all real numbers.

The domain of f^-1(x) is all real numbers greater than 0 and the range is all real numbers.


The domain of f^-1(x) is all real numbers and the range is all real numbers greater than 0.


The domain of f^-1(x) is all real numbers greater than 0 and the range is all real numbers greater than 0.

Answers

Answer:

The domain of f–1(x) is all real numbers and the range is all real numbers greater than 0.

Step-by-step explanation:

(-x+ 4) (3х^2 + 3х + 5)

Answers

Answer:

-3x^3 + 9x^2 + 7x + 20

Step-by-step explanation:

this is the expression simplified

no link no bot right answer

Answers

the answer is 4 inches

Simplify the algebraic
expression
4(x + 1) + 7(x + 3).
a. 11x + 4
b. 2x + 215
C. 11x + 25
d. 5x + 11
Someone help pleaseeee

Answers

Answer:

C.

Step-by-step explanation:

4(x + 1) + 7(x + 3)= 4*x+4*1 + 7*x+7*3 = 4x+4 +7x +21 = 11x + 25

C

Step-by-step explanation:

4x+4+7x+21

11x+25

you have to combine like terms

please hurry this is timed and I only have 20 mins left!!!

Answers

Answer:

x = 6 2/3     The supplementary pair of angle is 78 degree and z = 112degree  = 180 degree  First step is where we can also see z its opposite angle is vertical opposite angle to 112 degree given and label as vertical angle - where we see a line through the 180 degree line at any angle we can call the pair supplementary-   Pairs OR sets of angles an only be called consecutive when they are grouped with a set of parallel line across a straight line and it is only because they add up to 180 they could be either terms so as there isn't parallel shown ; we know we an call a pair of angles upon a straight line supplementary.angles.

Step-by-step explanation:

6 x +38 (+112) = 180 degree as angles on a straight line add up to 180   6 x +38 (+112) = 180    6 x +140 = 180  6 x + 140- 140 = 180-140      6 x  = 40   x = 40/6  x = 6.66666667    x = 6 2/3   Proof  (6( 6 2/3)) + 38 + 112 = 180     = (40+38)+112 = 180 = 78 +112 = 180   Proves the supplementary angle is 78 degree.

Last year at a certain high school, there were 100 boys on the honor roll and 60 girls on the honor roll. This year, the number of boys on the honor roll decreased by 11% and the number of girls on the honor roll decreased by 10%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).​

Answers

Answer:

-11 boys -6 girls

Step-by-step explanation:

Find the distance from point $A\left(15,-21\right)$ to the line $5x+2y\ =\ 4$ . Round your answer to the nearest tenth.

Answers

The distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units

Given the coordinate (15, -21) and the line 5x + 2y = 4

In order to get the point on the line 5x + 2y =4, we can a point on the line

Let x = 0

5(0) + 2y = 4

2y = 4

y = 2

The point (0, 2) is on the line.

Find the distance between the point (15, -21) and (0, 2) using the distance formula

[tex]D=\sqrt{(2+21)^2+(0-15)^2} \\D=\sqrt{23^2+15^2}\\D=\sqrt{754}\\D= 27.46units[/tex]

Hence the distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units

Learn more here: https://brainly.com/question/22624745


My dinner at San Felipe cost $8.20 before tax and $9.96 after tax. What was the sales tax rate?
*Round to the nearest whole percent.
Show Your WorK

Answers

Answer:

Sale tax rate = 21.46%

Step-by-step explanation:

Sale Tax % = ( Amount after sale tax - Original  cost) ÷ original × 100

Sale Tax % = ( $9.96 - $8.20) ÷ $8.20 × 100

Sale Tax % = $1.76 ÷ $8.20 × 100

Sale Tax % = .2146341463 × 100

 Sale Tax % = 21.46

dur rn help pls ))))))))))

Answers

Answer:

A is correct good luck bud

Step-by-step explanation:

The sum of 13 and 3 times a number is 31. What is the number?

Answers

Answer:

6

Step-by-step explanation:

yeah-ya ............... right?

Answer: 6

Step-by-step explanation:

13 + 3 × n = 31

n represents unknown number

13 + 3n = 31

-13           -13

3n = 18

/3      /3

n=6

Find the geometric mean between 18 and 7. Write your answer in radical form.



• 3 square root of 14


• 126



• 9 square root of 7



• 128

Answers

Answer: Choice A

Work Shown:

[tex]m = \text{geometric mean of x and y}\\\\m = \sqrt{x*y}\\\\m = \sqrt{18*7}\\\\m = \sqrt{9*2*7}\\\\m = \sqrt{9}*\sqrt{2*7}\\\\m = 3\sqrt{14}\\\\[/tex]

day!
Altea is making pumpkin spice cupcakes.
She needs 15 ounces of pureed pumpkin
for each batch. If she makes 16 batches of
the cupcakes, how many ounces of the
pureed pumpkin will she need?
o

Answers

Answer:

240oz.

Step-by-step explanation:

15oz=1batch

She needs 16 batches.

15oz. x 16batches = 240oz.

Hope this helps :)

240oz
The other dud explained it

Forty minutes of hot yoga and 10 minutes of jumping jacks burns 510 calories. Thirty minutes at hot yoga and 20 minutes of jumping jacks burns 470 calories. How many calories are burned per minute of yoga? How many calories are burned per minute of jumping jacks

Answers

Answer:

Step-by-step explanation:

ur answer I have the link

Show this situation on a vertical number line

Answers

what is the situation to your question

Answer:

What is the situation?

Step-by-step explanation:

Proxima Centauri, our nearest star except for the sun, is about 4·1013 km from Earth. Find to one decimal place its distance in parsecs.

Answers

Step-by-step explanation:

The conversion for parsecs into meters is

1 parsec (pc) = [tex]3.09×10^{16}\:\text {m}[/tex]

So if Proxima Centauri is [tex]4×10^{13}\:\text{m}[/tex] away, then in terms of parsecs, this distance is

[tex]4×10^{13}\:\text{m}×\left(\dfrac{1\:\text{parsec}}{3.09×10^{16}\:\text{m}}\right)[/tex]

[tex]\;\;\;\;\;= 1.2×10^{-3}\:\text{parsec}[/tex]

The GDP per capita of ten arab countries is given in US Dollars. Find the median: 22865, 37749, 3046, 5738, 69687, 3980, 29266, 3345, 17791, 1249 (1 Point 12057 O None of these 0 11764.5 O 17791​

Answers

Answer:

11764.5

Step-by-step explanation:

Given numbers:

22865, 37749, 3046, 5738, 69687, 3980, 29266, 3345, 17791, 1249

Put the numbers in ascending order:

1249, 3046, 3345, 3980, 5738, 17791, 22865, 29266, 37749, 69687

Since the set is even, the median is the average of the middle numbers:

(5738 + 17791)/2 = 11764.5

What are 5 rules to follow in a science lab?

Answers

Answer:

Step-by-step explanation:

1. Wear safety glasses

2. Be accompanied by an adult

3. Wear proper lab clothing

4. Alert Lab instructor if an accident were to happen

5. Follow all instructions given by lab instructor

What are the slope and y-intercept on the graph of the linear equation on the grid?​

Answers

Answer:

simple look at y intercept then look at slope or you can solve two points by using the formula y2-y1/x2-x1

but your formula is

y =1/2 +5 so b would be your answer

0.9627281873+783,840,183=??!!
plzzz help​

Answers

ANSWER: 783,840,183.9627281873

EXPLANATION:
Just use your calculator lol

what integer does 378 need to be divided by to equal -21

Answers

Answer:

-18

Step-by-step explanation:

just divide 378 by 21 to get the missing integer:18

since multiplying 2 negatives makes a positive, the same applies for division, so it would be -18

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