The exponential function h whose graph is given below, can be written as h(x)=a*b^x Complete the equation for h(x)

The Exponential Function H Whose Graph Is Given Below, Can Be Written As H(x)=a*b^x Complete The Equation

Answers

Answer 1

Answer:

h(x) = 3*2^x

Step-by-step explanation:

Given

Equation h(x)=a*b^x and its graph

Two points given on the graph:

h(0) = 3 and h(1) = 6

Substitute the coordinates and simplify:

ab^0 = 3 ⇒ a = 3ab^1 = 6 ⇒ ab = 6

Divide the second equation by the first to find the value of b:

b = 6/3 = 2

The equation is:

h(x) = 3*2^x
Answer 2

Answer:

h(x) = 3*2^x

Step-by-step explanation:


Related Questions

At a certain conference the information technology session and the social media session occur at the same time so it is impossible for an attendee to sit in on both sessions. If the probability that an attendee sits in on the information technology session is 0.11, and the probability that an attendee sits in on the social media session is 0.62, what is the probability that an attendee sits in on the information technology session or the social media session?

Answers

Answer:

0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.

Step-by-step explanation:

What is the probability that an attendee sits in on the information technology session or the social media session?

They cant be in both sections simultaneously, so this probability is the sum of each probability.

0.11 = 11% probability that an attendee sits in on the information technology session

0.62 = 62% probability that an attendee sits in on the social media session

0.11 + 0.62 = 0.73

0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.

4) Mitzi is 64 inches tall and casts a 48 inch shadow. Her daughter, who is standing next to her,
casts a 30 inch shadow. How tall is her daughter?
a) 47.5 in.
b) 40 in.
c) 35 in
d) 22.5 in.
I

Answers

Answer:

She is 46 inches tall!

Step-by-step explanation:

9. What is the volume of this cube? (2 pts.) Show your work here.​

Answers

Answer:

Volume = 27 cubic units

Step-by-step explanation:

First, the formula of volume is l x h x w.

Second, the l, h, and w, are all 3, so to get your answer you do 3 x 3 x 3 which equals 27.

Hope this helps!

Three friends drove radio controlled cars around a track. The table below shows the number of laps
completed by each person and the time it took.
Kaitlin
Keiko
Ann
Time (minutes)
9
7
5
Number of laps
54
28
25
Write the number of laps completed per minute for each person. Then determine who drove the fastest.
Number of laps completed per minute by Kaitlin:
Number of laps completed per minute by Keiko:
Number of laps completed per minute by Ann:
Select the person who drove the fastest.
Kaitlin
O keiko
Ann

Answers

kaitlyn:6
keiko: 4
ann: 5
keiko drive the fastest

Normal distribution: Area between two points You might need: Calculator, Z table A set of mathematics exam scores are normally distributed with a mean of 80.2 points and a standard deviation of 4 points What proportion of exam scores are between 82 and 85.6 points? You may round your answer to four decimal places.​

Answers

Answer: .2379

Step-by-step explanation:

Answer: 0.2379

Step-by-step explanation:

0.9115 - 0.6736 = 0.2379

Ryan has 8 kittens. Two are white. What fraction of the kittens are not white? Write in simplest form

Answers

Answer:

3/4

Step-by-step explanation:

If 2 out of 8 of the kittens are white, than 6 aren't white. That fraction would be 6/8 but when you simplify you get 3/4.

The answer is 3/4 of the kittens are not white.

This a simplifed version of 6/8 which is the complement of 2/8, the amount of white kittens.

Hope this helps, if not, comment below please!!!

:L

find the slope of the line through the points (10,6) and (-1,8)​

Answers

Answer:

-2/11

Step-by-step explanation:

On three days, Ben throws darts at a target.

Here are his results.

Number of hits

Number of misses

30

10

Number of throws

Monday

40

Tuesday

30

Wednesday

50

Total

120

18

12

36

14

84

36

(1)

a) Use Tuesday's results to estimate the

probability of Ben hitting the targe.

b) Use the total of the results to estimate the

probability of Ben of hitting the target.

c) Which estimate would give the most reliable probability?

A- the one from Tuesday or B - the one from the Total?

(1)

(1)

Total marks: 3

Answers

Answer:

0.6 ;

0.7

Reaukt in B will give a better estimate because it has a larger sample size (120) than the result on A ,with sample size (30)

Step-by-step explanation:

Probability of hitting the target using Tuesday's result :

P(hitting the target):

Probability = required outcome / Total possible outcomes

Required outcome = number of hits = 18

Total possible outcomes = number of throws =. 30

Hence, Probability of hitting the target using Tuesday's result : 18 / 30 = 0.6

B.)

Probability of hitting the target using Total result:

Required outcome = number of hits = 84

Total possible outcomes = number of throws =. 120

= 84 / 120

= 0.7

The point A(-3,7) is reflected over the origin and its image is point B. What are
the coordinates of point B?

Answers

Answer:

B(3,-7)

Step-by-step explanation:

Basically, you just have to transform the signs to it's opposite and just keep the points.

The eccentricity of the conic
section shown is?

Answers

Answer: The eccentricity of the conic section shown in the given picture = 0

Step-by-step explanation:

The eccentricity of a conic is measure to determine how un-circle a conic section.

In the given picture, we have a circle.

A circle has an eccentricity of zero.

Therefore, the eccentricity of the conic section shown in the given picture = 0

Please help me ASAP

Answers

B, there are two sections that say 1, and there are less sections then the other one with two ones

Graph the line with the given slope that passes through the given point.
(a) slope: 2 point: (1, 3)

Answers

Answer:

y= 2x + 3/2

Step-by-step explanation:

First, place a point on (1,3).

Since slope is rise/run, move your pencil up 2 units and to the right one. Place a point there. Repeat until you reach your desired length.

Explain step by step how to use the horizontal method the multiple the two polynomials

Answers

Answer:

Step-by-step explanation:

Multiply each term of the first polynomial with   the second polynomial. Then combine the like terms.

(3a² + 5a - 2)* (5a² -3a + 4)

= 3a² *(5a² -3a + 4)  + 5a*(5a² -3a + 4)  - 2*(5a² -3a + 4)

=3a²*5a² - 3a*3a² + 4*3a² +  5a*5a² - 3a*5a  + 4*5a + 5a²*(-2) - 3a*(-2) + 4*(-2)

=15a⁴ - 9a³  + 12a² + 25a³ - 15a² + 20a - 10a² + 6a - 8

= 15a⁴ - 9a³ + 25a³   + 12a² - 15a² - 10a²   + 20a +6a - 8

= 15a⁴ + 16a³  - 13a² +26a  - 8

Please please help me ASAP

Answers

Answer:

There are 12 sections on the spinner, and out of the 12 sections, 5 of them are red.

If he spins the spinner 48 times, he should expect 5x4, or 20 of the spins to land on red.

Let me know if this helps!

It’s 20 I think if it’s wrong I’m sorry

I’m getting brainlest

Answers

Answer:

Female

Step-by-step explanation:

...look at those numbers dude

NEEP HELP NOW

Working with vertical and adjacent angles I don’t need the awnsers I need someone to explain how to write it down and Awnser. PLZZ

Answers

,.Answer:

Step-by-step explanation:

PLS HELP QUICK I NEED THIS TO PASS

Answers

Y=3/1x+15
This is what I think it is at least

Find each sum
56 + (-56)

Answers

Answer:

the answer is zero

56 + (-56)

Answer: the answer is 0, 130, -9.9 hope this helps. Can u pls give me brainliest

Step-by-step explanation:

What figure has one endpoint and continues without end on one direction?

Group of answer choices

A. line

B. line segment

C. ray

D. point

Answers

Answer:

Step-by-step explanation:

b line segment

B. line Statement is the awnser

"The director of special events for Sun City believed that the amount of money spent on fireworks displays for the Fourth of July was predictive of attendance at the Fall Festival held in October. She gathered the following data to test her suspicion.
4th of July ($000) Fall Festival (000) 4th of July ($000) Fall Festival (000)
8.0 6.8 12.0 9.5
6.0 6.4 7.5 10.4
12.0 11.6 9.0 6.6
10.5 10.2 10.6 10.1
8.5 6.0 10.0 6.1
12.5 11.1 7.5 9.0
9.0 7.5 10.0 12.6
5.5 8.4
a-1. Compute and report the regression equation that predicts "fall festival attendance" with "amount spent on Fourth of July fireworks". (Round your answers to 2 decimal places.)
a-2. Report the coefficient of determination. (Round your answer to 2 decimal places.) %
a-3. Interpret the regression coefficient. (Round your answer to 4 decimal places.)
b. Evaluate the regression assumptions based on an analysis of the residuals .
The regression assumptions based on an analysis of the residuals is_______.

Answers

Answer:

ŷ = 0.52X + 3.99 ;

0.26 ;

0.5123

Step-by-step explanation:

4th of July :

8.0

6.0

12.0

10.5

8.5

12.5

9.0

5.5

12.0

7.5

9.0

10.6

10.0

7.5

10.0

Fall festival :

6.8

6.4

11.6

10.2

6.0

11.1

7.5

8.4

9.5

10.4

6.6

10.1

6.1

9.0

12.6

Using technology, the regression equation which predicts fall festival attendance with amount spent on 4th of July fireworks is ;

ŷ = 0.52X + 3.99

Coefficient of determination ; R² is 0.26

This means that about 26% of variation in the fall festival attendance is explained by the regression line.

The regression Coefficient, R = sqrt(R²) = sqrt(0.2625) = 0.5123

This depicts that a faiy strong positive correlation exists between the amount spent on 4th July fireworks and the fall festival attendance.

In 2013 number of students in a small school is 284.it is estimated that student population will increase by 4 percent
Write form for student population
Estimate population in 2020

Answers

The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.

Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get

{P}_{n} =284\cdot {1.04}^{n}P

n

=284⋅1.04

n

We can find the number of years since 2013 by subtracting.

\displaystyle 2020 - 2013=72020−2013=7

We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.

\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P

7

=284⋅1.04

7

≈374

The student population will be about 374 in 2020.

plz help me due today

Answers

Answer:

2976 in³

Step-by-step explanation:

Stool volume = upper smaller prism + Lower bigger prism

Stool volume = 8 x 6 x 12 + 20 x 12 x 10 = 576 + 2400 = 2976

check: volume = 20 x 12 x 16 - 12 x 12 x 6 = 2976

Please help my daughter has been stuck on this for the pass hour now

Answers

Answer:

algebraic expression: 3x + 2b

coefficients: 3 and 2

variables: w and b

# of terms: 2

constant: 0

algebraic expression: 6xy - 2c + 4

coefficients: 6 and -2

variables: x, y, and c

# of terms: 3

constant: 4

algebraic expression: 2/3 y - 3p

coefficients: 2/3 and -3

variables: y and p

# of terms: 2

constant: 0

Answer:

Problem 1:

Coefficients are : 3 & 2

Variables are: w & b

Number of terms: 2

Constant: none

Problem 2:

Coefficients are : 6 & -2

Variables are: xy & c

Number of terms: 3

Constant: 4

Problem 3:

Coefficients are : [tex]\frac{2}{3}[/tex] & -3

Variables are: y & p

Number of terms: 2

Constant: none

Step-by-step explanation:

Okay, lets break this down.

An Algebraic expression is not meant to be solved, but rather used to determine the various components inside of it to better understand how to solve equations later on. Although for now lets look at these problems. :

A Coefficient in terms of algebra, is the number before a variable. In other terms, a coeffiecient is the number before the letter such as 3w. Looking at 3w we see that there are two parts: 3, and w.

The number 3 is the coefficient while the variable is the letter w. Variables are always the letters.

Variable: A letter used to determine an unknown value such as x

Now a term is a single mathematical expression. It may be a single number (positive or negative), or a single variable ( a letter). (Can also be a coeffient with a variable multiplied or divided by one another as such :

[tex]3w = 3*w\\\frac{3}{w} = 3 / w[/tex]

 Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.

Now with that said, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.

With all of that said, lets look at the problems given:

Problem 1:

Coefficients are : 3 & 2

Variables are: w & b

Number of terms: 2

Constant: none

Problem 2:

Coefficients are : 6 & -2

Variables are: xy & c

Number of terms: 3

Constant: 4

Problem 3:

Coefficients are : [tex]\frac{2}{3}[/tex] & -3

Variables are: y & p

Number of terms: 2

Constant: none

I would be happy to help you again in the future, and hope that this provide you with some clarification. Have a nice day!

pls HELP ASAP PLS HELP

Answers

distributive property, the 2nd one on the bottom
commutative property, the one top
combining like terms, the 1st one on the bottom

3x + 2 + 11x
It must be simplified

Answers

Answer:

14x+2

Step-by-step explanation:

3x+11x = 14x then +2 is left over so it's 14x+2

2)Kendra is 3 times her daughter's age plus 7 years, Kendra is 49 years old. Write an equation to find her daughter's age. (2)​

Answers

Answer:

Equation: 49 = 3x + 7

Answer: x = 14

Step-by-step explanation:

Let Kendra's daughter's age be denoted by the variable, x.

Set the equation. Note that:

Kendra is 49 years old.

Kendra is 3 times her daughter's age (x) plus 7 years.

Equation: 49 = 3x + 7

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 7 from both sides of the equation:

49 (-7) = 3x + 7 (-7)

49 - 7 = 3x

42 = 3x

Next, divide 3 from both sides of the equation:

(42)/3 = (3x)/3

x = 42/3

x = 14

14 is your answer.

~

What is the product of (3+square root of 7)(3-square root of 7)

Answers

( 3 + √ 7 ) ( 3 − √ 7 ) = 2 Explanation: You can simplify this expression by using the formula for the difference of squares a 2 − b 2 = ( a − b ) ( a + b ) In your case, you ca say that a = 3 and b = √ 7 . This means that you have ( 3 + √ 7 ) ( 3 − √ 7 ) = 3 2 − ( √ 7 ) 2 = 9 − 7 = 2 Alternatively, if you don't know the formula for the difference of squares, you can rewrite this expression by expanding the parantheses ( 3 + √ 7 ) ( 3 − √ 7 ) = 3 ⋅ 3 − 3 ⋅ √ 7 + 3 ⋅ √ 7 − √ 7 ⋅ √ 7 Once again, the result will be 3 ⋅ 3 − √ 7 ⋅ √ 7 = 3 2 − 7 = 2

Please help and fill out please

Look at picture

Find the circumference of a circle and round your answer to the ness test tenth

Answers

Answer:

9) 56.5

10) 43.98, so rounds to 44.0

11) 71.6

12) 23.9

13) 69.1

14) 50.3

Step-by-step explanation:

Circumference is 2[tex]\pi[/tex]r.

9) 56.5

10) 43.98, so rounds to 44.0

11) 71.6

12) 23.9

13) 69.1

14) 50.3

at what rate per annum a sum of Rs 25000 amount to Rs 26250 in 6 months.​

Answers

Answer:

Rate = 10%

Step-by-step explanation:

Given:

Amount deposit = 25,000

Amount get = 26,250

Time = 6 month = 6 / 12 = 0.5 year

Find:

Rate

Computation:

Interest = Amount get - Amount deposit

Interest = 26,250 - 25,000

Interest = 1,250

Interest = P x R% x T

1,250 = 25,000 x R% x 0.5

Rate = 10%

Some potatoes are split equally between 5 bags. If there
are 22 pounds of potatoes, how many pounds are in each
bag?

Answers

Answer:

4.4 pounds in each bag

Step-by-step explanation:

divide 22 by 5 and that is how many pounds are in each bag

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