Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 18)(0,18) and (2, 288)(2,288).

Answers

Answer 1

Answer:

[tex]y = 18*4^x[/tex]

Step-by-step explanation:

We want an exponential equation in the following format:

[tex]y = ab^x[/tex]

Point (0,18):

This means that when [tex]x = 0, y = 0[/tex]. So

[tex]y = ab^x[/tex]

[tex]18 = ab^0[/tex]

[tex]a = 18[/tex]

So

[tex]y = 18b^x[/tex]

Point (2,288):

This means that when [tex]x = 2, y = 288[/tex]. So

[tex]y = 18b^x[/tex]

[tex]18b^2 = 288[/tex]

[tex]b^2 = \frac{288}{18}[/tex]

[tex]b^2 = 16[/tex]

[tex]b = 4[/tex].

So

[tex]y = 18*4^x[/tex]


Related Questions

What is the area please help

Answers

Answer:

I think (b.)154.5cm²is the answer

PLEASE HELP,I WIL GIVE BRAINLIEST.
A rectangular garden has a width of 20 ft and an area of 300 ft. What is the perimeter of the figure?

Answers

Answer:

70 ft

Step-by-step explanation:

300/20 = 15

20x2=40

15x2=30

40+30=70

Answer:

70 ft

Step-by-step explanation:

20 + 20 + 15 + 15

peter weighs is 105 kg he wants to lose 500 g per week how many weeks will it take for him to have a mass of 90 kg ?

Answers

Answer:

it will take him 30 weeks

Step-by-step explanation:

2 weeks = 1 kilogram lost

105-90=15

1 x 15 = 15

2 x 15 = 30

Simplify this expression:

5xy-x^t+2xy+3x^t

Answers

I wish I could help
Hopes this helps:

Answer: x(2xt + 7y)

Have a great day.

A circle has a diameter of 6 inches.
Show your work to find the following (use
3.14 for pi):
A) Area of the circle
B) Circumference of the circle

Answers

Step-by-step explanation:

to find area

A=Pi x r^2

r = d/2 = 6/2 = 5

to find circumference

u=2 pi r

r=5

Plz help me well mark brainliest if correct!....

Answers

Its B! They have to multiply to get 96 and b is the only one that also adds to get 40

23/100 converted to a decimal

Answers

23/100 as a decimal is 0.23

Please help I don’t understand this

Answers

The closed circle means the inequality is greater than or equal to (≥) or less than or equal to (≤)
An open circle means the inequality is greater than (>) or less than (<)

Since the arrow is pointing to the left towards increasingly lesser numbers, any “x” value will be at the beginning number of 2 or some value less than 2.
Answer: x≤2

The product of a number and 16 is equal to the sum of the number and 14​

Answers

Step-by-step explanation:

let number be x

16x = 14 + x

16x - x = 14

15x = 14

x = 14 ÷ 15

x = 0.9

4. Find Percent Change:
Original Price $50
New Price $60

Answers

Answer:

20% change

Step-by-step explanation:

20 percent of 50 is 10. 50+10=60.

  Brainliest please?

                                          XxRoadToAcexX

The volume of a cylinder is 1800cm. if the height of the cylinder is 40cm then the diameter of cylinder is?​

Answers

Answer:

Step-by-step explanation:

The water level of a certain lake is at 35 feet. Due to recent storms, the water level is rising
at a rate of 3 inches per day. How many days will it take the lake to reach a level of 40 feet? helpppp!!

Answers

Answer:

20 days

Step-by-step explanation:

40 feet - 35 feet is 5 feet needed to rise

5 x 12 (inches per foot) =60 inches

60 divided by 3 = 20 days

Twenty times the square of a non-zero number is equal to 20 times the number. ​

Answers

Answer:

the number could be 0 or 1

Step-by-step explanation:

20x² - 20x = 0

20x(x - 1) = 0

20x = 0

x = 0

x-1 = 0

x = 1

135°
Solve for <2.
62 = [?]
45°
&2
86°
Enter

Answers

Answer:

[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]

Step-by-step explanation:

remember that,

if a side of a triangle is extended then exterior angle so formed equal to the sum of the two opposite interior angles

thus our equation is

[tex] \displaystyle \angle2 + {86}^{ \circ} = {135}^{ \circ} [/tex]

cancel out 86° from both sides:

[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]

hence,

the measure of the missing angle is 49°

Answer:

Solution given'

<2+45+86=180°[sum of interior angle of a triangle]

<2=180-131

<2=49°

24427 correct to the nearest 1000

Answers

2400 I think that’s what the questions asking

Answer:

24427 correct to the nearest 1000? 24000.

Step-by-step explanation:

So 24000 is your answer.

Plz stop deleting my questions! This is a urgent!!plz help meee!,

Answers

Answer:

B

Step-by-step explanation:

Its really not hard. Just look at the chart. Find the 96 in the chart. What is it under? Flowers ordered. Which flower? Petunias. So its B. I'm sure you could have figured that out on your own. Not being rude, just telling you.

What is the volume of this?

Answers

1832.18, sorry if im wrong

Answer:

1,832.4

Step-by-step explanation:

To find the base you multiply the radius by itself to pi. Then you multiply that by the height. The next step would be to divide that by 3.

Find the code word by completing the maze below. To complete the maze you must determine what type of triangle is formed by the given set of dimensions. There are letters in each box that will form the code word you need to unlock puzzle one. The letters will go in order to form the word. MI 4,7,9 Obtusa 5,5,5 obtusa 9.12,15 Acute 12, 16,20 BEGIN Right Acute Right Obtuse N S Acute Right 7, 12, 18 P Acute 15,20,25 1,3,5 6,8,10 Acute Jobtuse Obtuse Right Right 21,28,35 Right P 30, 40, 50 Acute 6, 12,18 12,18,31 Obtuse Obtuse Obtuse Obtuse 3,4,5 Right 2,2,2 Acute 12, 16,20 Right FINISH Code:​

Answers

Answer:

Inspiring

I hope this helps

what is the x intercept of the graph of y=4x-36

Answers

Answer:

36

Step-by-step explanation:

My explanation to this is that if you look at the problem it will show you 36.

Answer:

9

Step-by-step explanation:

To find the x-intercept, set y = 0

0 = 4x-36

Add 36 to both sides:

0+36 = 4x-36+36

36 = 4x

Divide by 4 on both sides:

36/4 = 4x/4

9 = x

The x-intercept is 9

What is the area of a circle with a radius of 13 millimeters? (use 3.14 for pi)

Answers

Answer: Approximately 530.66 square millimeters

===============================================

Work Shown:

A = pi*r^2

A = 3.14*13^2

A = 3.14*169

A = 530.66 square millimeters

We can abbreviate "square millimeters" into "square mm" or into "mm^2".

This value is approximate because pi = 3.14 is approximate.

Please I need help for this..


Kelly works in a grocery store stocking shelves. The graph below shows the money Kelly earns stocking shelves.




Write an equation to represent the money Kelly earns in relationship to the hours she works. Let m represent the money she earns, and let h represent the number of hours she works.

Answers

Answer: m=1/8h

Step-by-step explanation:

When writing a linear equation, the slope is always rise over run. When it rises (goes up) 1, it runs (goes to the side 8. So the slope is 1/8. There is no y intercept because the line passes through (0, 0). The equation is m= because the amount of money earned equals 1/8h.

If Jamie had 12 pencils and she lost 9 what's the fraction left

Answers

Answer:

3/12

Step-by-step explanation:

Hope it helps plz give brainliest! :D

I will be giving brainliest whoever answers these

Answers

Answer:

3, 5, 1, -1, 5, -1, -1, 5

Step-by-step explanation:

Because it is I am tired sorry

Which temperature is lower
a)-9°C or -10°C​

Answers

-10°C is lower than -9°C

Step-by-step explanation:

-10°C is lower than -9°C

The more the temperature increase the more heat increases

Thus, -10°C is lower than -9°C

-TheUnknownScientist

Answer:

Step-by-step explana

-10

Suppose that a population parameter is 0.7 and many samples are taken from the population. If the size of each sample is 100, what is the standard error of the distribution of sample proportions?

Answers

Answer: .046

Step-by-step explanation: I just had this question

The statement : "for a sample size of n = 26 and a population parameter of  p = 0.6, a normal curve can be used to approximate the sampling distribution" is true.

What is normal curve?

Normal curve is used to represent the class shapes in the statistical probability. Mathematically, we can describe the normal curve as -

[tex]$f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}[/tex]

where -

f(x) = probability density function

σ = standard deviation

μ = mean

Given is that for a sample size of n = 26 and a population parameter of

p = 0.6, a normal curve can be used to approximate the sampling

distribution.

It is asked to identify whether the given statement regarding the normal curve is true or false. The given statement is - "for a sample size of n = 26 and a population parameter of  p = 0.6, a normal curve can be used to approximate the sampling distribution". The given statement is true.

Therefore, the statement : "for a sample size of n = 26 and a population parameter of  p = 0.6, a normal curve can be used to approximate the sampling distribution" is true.

To solve more questions on normal curves, visit the link below-

https://brainly.com/question/24201610

#SPJ7

Can someone help me please because I really don’t understand

Answers

Answer:

All skelts have at least one right angle.

Step-by-step explanation:

All skelts have 5 sides. (false, one have 6 sides)

All skelts are convex figures = outline curved like the exterior of a circle (false, none of them have curvy outline like a circle)

All skelts have an odd number of sides. (false, one have 6 sides, which is an even number)

Find the volume of each prism in page 428

Answers

Question is missing , please send again

Answer:

Umm why don't you write the question properly first?

8 Mangoes = 30 bananas
5 banana= 2 oranges
15 oranges=? mangoes​

Answers

Answer:

it would only be 8, unless you need to go down to the decimal point then it would be 8.25

Step-by-step explanation:

it would be 8 because if you need to find how many bananas you have, to do this you would divide 15 by 2 and get 7.5 then you multiply those by 5 to get the number of bananas which would be 37.5, and then if 8 mangos = 30 bananas you only have 8 mangos.

(sorry if this is very jumbled and hard to understand, also getting brainliest would help, thank you)

Who’s can help me with this, it is to hard

Answers

Answer:

x = 10

MB = 16

CM = 16

CB = 32

Step-by-step explanation:

Since it's the mispoint

2x - 4 = x + 6

Subtract x from both sides

x - 4 = 6

Add 4 to both sides

x = 10

MB = 2x - 4

MB = 20 - 4

MB = 16

CM = x + 6

CM = 16

CB = 16 + 16

CB = 32

What is the multiplicative rate of change of the function???

Answers

answer:
i think its 2/3

The multiplicative rate of change of the function will be 2/3. Then the correct option is B.

What is an exponent?

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as,

y = a(b)ˣ

At (1, 6), then we have

6 = a(b)¹

6 = ab             ...1

At (2, 4), then we have

4 = a(b)²

4 = ab             ...2

Divide equation 2 by equation 1, then we have

ab² / ab = 4 / 6

b = 2 / 3

The multiplicative rate of change of the function will be 2/3. Then the correct option is B.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ7

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