Find the equation of the exponential function represented by the table below:
x y
0 5
1 15
2 45
3 135

y=

Answers

Answer 1

Answer:

y=5·3x

Step-by-step explanation:

x=0, y=5:

5=a·b↑0 a=5

x=1, y=15:

15=5·b↑1

b=15/5=3

Answer 2

The equation of the exponential function is y = 5(3)ˣ

What is an exponential function?

An exponential function is a Mathematical function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given,

x: 0, 1, 2, 3

y: 5, 15, 45, 135

We have to find the exponential equation:

The exponential function in the form:

y = a × b ˣ

y value of x as 0 is 5.

This is the a value in the equation.

The ratio of values between x as 1 and x as 0 is 15/5 which is equal to 3. This is the value of b in the equation.

Therefore, the equation will become:

y = 5 × 3 ˣ

Hence the equation of the exponential function is y = 5(3)ˣ

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Related Questions

If you see this can you answer this question.

Answers

Answer:

The last one

Step-by-step explanation:

-4 1/3 is less than -1 3/4 because its farther on the negative side and -1 3/4 is closer to the positive side

A pair of sunglasses is on sale 30% off. if the original cost of the sunglasses are $18, what is the sale price now?

Answers

Answer:

12.60

Step-by-step explanation:

I don't feel like explaining it, since I'm not good at giving detail sorry <3

12.60 I hope this helps …………..

Looking at the equation y=(x+3)^2-4, determine which direction in which the parabola is open.
up
down
left
right

link/random words or letters as answer = report

Answers

Answer:

parabola opens up

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

• If a > 0 then parabola opens up

• If a < 0 then parabola opens down

y = (x + 3)² - 4 ← is in vertex form

with a = 1

Since a > 0 then parabola opens up

What is the meaning of the point shown on this graph?
Mysha’s Height

A: Mysha was 12 inches tall at age 2 1/2 years

B. Mysha was 30 inches tall at age 1 year

C: Mysha was 12 inches tall at the ago 30 months

D: Mysha was 30 inches tall at age 12 years

Answers

It would be B. She is 30 inches in height (y-axis) and she is 1 year old, or 12 months (x-axis). Hope this helped :)

What is .7899 rounded 4 decimal places

Answers

.7899 rounded is .79. But in you want to convert/round it all the way it’s 1. But .79 makes more sense. Or .8. Which ever one works!!


Hope this helped. :)

Help help help help please math math

Answers

Answer:

Answer ️️

Step-by-step explanation:

5.1÷104 = 4.903846154

B. If the point are in line ( vertical) then it is not a functiom

Answers

Answer:

True.

Step-by-step explanation:

If a relation forms a vertical line, then that means a given input has multiple outputs. Because of this, it is not a function.

HELP ME I WILL GIVE POINTS

Answers

Answer:

1. 32

3. -11

Step-by-step explanation:

(To meet character limit)

Answer:

1.) 35

2.) -20

Step-by-step explanation:

Seedless watermelon costs $.99 per pound. Find the cost per kilogram

please help and show the solution and answer thank uou

Answers

Answer:

$2.20/kg

Step-by-step explanation:

First, we must convert pounds to kilograms.

1 lb = 0.45 kg

If 1 lb costs $.99

then 0.45 kg costs $.99

0.45 kg = $.99

dividing both sides by 0.45

1 kg = .99 ÷ 0.45

1 kg = $2.20

Six players compete in a tournament. Each player plays exactly two
games against every other player. In each game, the winning player
earns 2 points and the losing player earns 0 points. If the game results in
a draw (tie), each player earns 1 point. What is the minimum possible
number of points that a player needs to earn in order to guarantee that
he/she will be champion (i.e he/she has more points than every other
player)?

Answers

Step-by-step explanation:

6 players.

every player plays 2 games against every other player.

so, for each player there are 5 "other players" and everybody plays therefore 10 games.

the maximum number of points to get is 10×2 = 20 points.

the question is now not what is the minimum number of points a champion can have.

the question is rather what is the minimum number of points to guarantee the win of the championship no matter how the others played.

so, the study case scenario for the winner is to have only one real competitor for the title.

both players win every game against the other 4 players.

that is already 2×4×2 = 16 points.

and now it all depends on the 2 games against each other. to be sure, the winner needs at least 1 win and 1 tie in these 2 games. that are 3 more points.

so, to be absolutely sure, the champion needs to have at least 16+3 = 19 points.

The minimum possible number of points that a player needs to earn in order to guarantee that he/she will be champion 16+3 = 19 points.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Every player plays 2 games against every other player.

Then there will be 5 players left who will 10 games

So, the maximum number of points = 10*2 = 20

winning player earns 2 points

as, both players win every game against 4 players.

which gives = 2×4×2 = 16 points.

Now, in remaining two game the  winner needs at least 1 win and 1 tie

which needs 3 more points.

Hence, the minimum possible number of points that a player needs to earn in order to guarantee that he/she will be champion 16+3 = 19 points.

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Please answer all these question

Answers

Answer:

it's 10.00 because I used a calculator

25Y^2/5y-4 + 16/4-5y​

Answers

Answer:

5Y2y-5y

Step-by-step explanation:

5

Y

2

y

5

y

Mr. Adam drives a school bus 5 days a week. Each day he travels 48.8 miles. How many miles does he drive per week?

Answers

Answer:

358 steps

Step-by-step explanation:

What is 3/1,000 as a decimal

Answers

Answer: 3/1000 as a decimal is 0.003.

Explanation;

3/10 = 0.3

0.3/10 = 0.03

0.03/10 = 0.003

The correct answer to this question is 0.003.

Leonard conducts a study to see if the number of hawks in a park affects the number
of squirrels. What is the response variable in this study?
A.The number of hawks in the park
B.The number of squirrels in the park

Answers

In the experiment, the response variable is the dependent variable, or the measured variable.

The response variable in the study is; B. The number of squirrels in the park

Reasons:

The study Leonard conducts is a study to determine if the number of

hawks located in the park affects the number of squirrels in the park.

The response variable is the variable of the experimental result, which is

the dependent or output variable obtained by manipulating the input

variable.

In the experiment conducted by Leonard, the variable that is being

manipulated, which is the input variable is the number of hawks in the park

The variable that is being measured, which is the output variable or the

response variable, is; B. the number squirrels in the park.

Learn more here:

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math models help PLEASE!

(20x5+10)-(8x8-4)



a . 58

b. 50

c. 40

Answers

Answer:

Answer is C, 40

Step-by-step explanation:

(100)-(60)

Multiple-Choice Questions
U
T
1.
?
50°
120°
V
R
Find the measure of the indicated angle in the
drawing above.
(A) 190°
(B) 60°
(C) 70°
(D) 120°
(E) 140°

Answers

Answer:

Mention the drawing if you want an answer !!! How are we supposed to answer this question without the drawing the question is referring to ?????


Use the quadratic formula to find the solution to the quadratic equation given
below.
x2-x* 1-0
D A
1+
14
2
1-IS
X =
D
B. x-
= -2
O c. x = 3
-
-1+
D.x =2 1-O
E.1 4x=
.
OF.x
2

Answers

Answer:

x=-1/2

Step-by-step explanation:

using almighty formula

x= -b+or-√b²-4ac/2a

x=-1+ or -√-1+4(1)(1/4) divided by 2(1)

x=-1+ or -√-1+1 divided 2

x=-1+0 divided by 2

x=-1/2

A standard elevator in a midrise building can hold a maximum weight of about 1 3/4 tons. Assuming an average adult weight of 124 pounds, what is the maximum number of adults who can safely ride the elevator?

Answers

Answer: 28 adults

Step-by-step explanation: 1 3/4 tons is 3500 pounds which I divided by 124 pounds which gave me the answer 28

subtract (6x^2+5) - (4x-3)

Answers

2(3x^2+4-2x) is ur answer i think

Find the value of x
(6x-5) (6x+5)

Answers

Answer:

-5/6 or 5/6

Step-by-step explanation:

Im assuming you want this equation equal to 0, so (6x-5)(6x+5) would reduce to 36x²-25=0. I would then add 25 to the other since and get

36x²=25, divide the whole thing by 36 to single out x

x²=25/36, which would reduce to x²=5/6.

thus x could be either -5/6 or 5/6

Solve the equation 3x/3x-1 + 2/x = 1

Answers

Answer:

2/7=0.285714

Step-by-step explanation:

3x/3x-1+2/x=13x2+2(3x-1)/xx(3x-1)=13x2+6x-2/xx(3x-1)=13x2+6x-2=xx(3x-1)3x2+6x-2=3x2-x6x-2=-x6x=-x+26x+x=27x=2x=2/7=0.285714

From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing scores. Based on this sample, find a confidence interval for the proportion of all scores that are passing. Then find the lower limit and upper limit of the confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.

Answers

Supposing 60 out of 100 scores are passing scores, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

The lower limit is 0.5.The upper limit is 0.7.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

60 out of 100 scores are passing scores, hence [tex]n = 100, \pi = \frac{60}{100} = 0.6[/tex]

95% confidence level

So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7[/tex]

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

The lower limit is 0.5.The upper limit is 0.7.

A similar problem is given at https://brainly.com/question/16807970

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

3/8 + 1/8 + 2/3 - 1/2 =

Answers

Answer: 2/3 (answer in decimal form = 0.6)

Step-by-step explanation: The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly. Then do the rest of the operations.

You measure 43 randomly selected textbooks' weights, and find they have a mean weight of 75 ounces. Assume the population standard deviation is 12.4 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight.

Answers

Answer:

by the empirical rule, 95% of the population is within 2 standard deviations of the mean

55 + or - 2(9.2) = 55+ or - 18.4 = (36.6,73.4)

95% of the population falls between 36.6 and 73.4 ounces

Step-by-step explanation:

what is -2(x+1) simplified

Answers

Answer:

-2x - 2

Step-by-step explanation:

-2(x + 1)

[tex](-2)(x+1)[/tex] [tex](-2)(x)+(-2)(1)[/tex] [tex]-2x - 2[/tex]

Therefore, the answer is -2x - 2.

Answer:

-2x - 2

Step-by-step explanation:

Simplify:

-2(x+1)-2(x) + -2(1)-2x - 2

-Chetan K

Abcd is a parallelogram determine the length of BE
A)51 units
B)102 units
C)96 units
D) -11 units

Answers

Answer:

  B)  102 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. This means ...

  BE = ED

  3 -9x = -8x +14

  -11 = x . . . . . . . . . . . . add 9x -14

  BE = 3 -9x = 3 -9(-11) = 3 +99

  BE = 102 units

6,600,000,000 exponential notation

Answers

Answer:

6.6 x 10^9

Step-by-step explanation:

In a survey, 13 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $50 and standard deviation of $14. Construct a confidence interval at a 98% confidence level.

Answers

Answer:

21

Step-by-step explanation:

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