4 Find a formula for the exponential function passing through the points (-2, 4/9) and (3, 108)​

Answers

Answer 1

9514 1404 393

Answer:

  f(x) = 4·3^x

Step-by-step explanation:

We assume the function will be of the form ...

  f(x) = a·b^x

Substituting the given values, we can find 'a' and 'b'.

  4/9 = a·b^(-2)

  108 = a·b^3

Dividing the second equation by the first gives ...

  108/(4/9) = b^(3 -(-2))

  243 = b^5

  b = 3 . . . . . . 5th root

Using the second equation, we can find 'a':

  108 = a·3^3 = 27a

  a = 108/27 = 4

The formula for the exponential function is ...

  f(x) = 4·3^x


Related Questions

which two ratios represent quantities that are proportional? A. 18/15 and 24/20 B. 33/18 and 66/26 C. 4/6 and 9/12 D. 9/14 and 45/56

Answers

Answer:

Option A is correct.

Step-by-step explanation:

What's the sum of 14,12,8,and 6

Answers

Answer:

40

Step-by-step explanation:

14 + 12 + 8 + 6 = ?

20 + 20 = ?

20 + 20 = 40

which is the equation of a line that has a slope of -2/3 and passes through point (-3, -1)?

Answers

Answer: y = (-2/3)x - 3

Step-by-step explanation:

We'll be using y = mx + b

m = slope

b = y-intercept

Because we know this line will pass through -3, -1, we can input that.

y = mx + b

-1 = (-2/3)(-3) + b

-1 = 2 + b

b = -3

We can input that now to get the equation

y = (-2/3)x - 3

Luna is competing in a 200 m race.
She runs at a constant speed of 5.4 m/s for the first 50 m, then 4.4 m/s for 10 seconds.
The remainder of the race takes her 29 seconds to complete.
What is Luna's average speed for the entire race to 1 dp?

Answers

Answer:

24

Step-by-step explanation:

Answer:

24 in the answer

Step-by-step explanation:


Application 1-a

PROBLEM 1- Completing the cycle.

Requirements:

a. Provide journal entries.

b. Post the entries to the ledger.
c. Prepare the unadjusted trial balance.

d. Provide the adjusting entries.

e. Complete the worksheet up to post-closing trial balance.

f. Prepare the closing entries.

g. Prepare the balance sheet and income statement.


Entity Backspace started operations in 20x1. The following were the transactions for the year ended

December 31, 20x1:


1. The owner invested P 300, 000 cash in the business.

2. The business obtained a 12%, one-year, bank loan of P200, 000 on October 1, 20x1. Principal and

interest are due at maturity date.

3. Purchased office supplies worth P80, 000 for cash (Entity Backspace uses the Asset method).

4. Purchased equipment on November 1, 20x1 for P360, 000 cash. (5 years useful life)

5. Rendered services worth P180, 000 for cash.

6. Rendered services worth P420, 000 on account.

7. Collected P370, 000 accounts receivable.

8. Paid utilities expense of P16, 000.

9. Paid salaries expense of P140, 000.

10. The owner withdrew P100, 000 cash from the business.


Application b

Instruction: For each of the sales terms, determine the following:

1. the amount recorded as a sale.

2. the amount of cash received.

On July 1, 2019, Savery Lace & Boxes sold merchandise with a P 150, 000 list price.

•Trade Discount •Credit Terms •Date Paid

a. 30% 2/10, n/30 July 8

b. 40% 1/10, n/30. July 15

c. - 2/10, n/30. July 11

d. 20% 1/15,n/30 July 14

e. 40% n/30. July 28


Application C

1. On January 1, 20x1, Mr. A and Ms. B formed a partnership. Mr. A contributed cash of ₱500,000
while Ms. B contributed a building with carrying amount of ₱400,000 and fair value of ₱800,000. The
building has an unpaid mortgage of ₱200,000 which is not assumed by the partnership.

Requirement: Provide the journal entry to record the contributions of the partners.​

Answers

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g(x)=x^2-6/3x+10 g(4)=?

Answers

Answer:

g(4) = [tex]\frac{5}{11}[/tex]

Step-by-step explanation:

Substitute x = 4 into g(x) , that is

g(4) = [tex]\frac{4^2-6}{3(4)+10}[/tex] = [tex]\frac{16-6}{12+10}[/tex] = [tex]\frac{10}{22}[/tex] = [tex]\frac{5}{11}[/tex]

>> Answer

_______

[tex] \: [/tex]

[tex] \sf{g(x) = \frac{ {x}^{2} - 6 }{3x + 10} }[/tex]

[tex] \sf{g(4) = \frac{ {4}^{2} - 6 }{3(4) + 10}} [/tex]

[tex] \sf{g(4) = \frac{16 - 6}{12 + 10}} [/tex]

[tex] \sf{g(4) = \frac{10}{22}} [/tex]

[tex] \sf{g(4) = \bold{\frac{5}{11}} }[/tex]

The pumps will turn off when the volume in the tank hits 10,000 gallons. To the nearest minutes after how long does this happen

Answers

Answer:

150 minutes

Step-by-step explanation:

Edward run 1/3 of a mile in 5 minutes. If he runs 3/4 of an hour, how far does he go?

Answers

Answer:

He goes 4 miles

Step-by-step explanation:

What is 2(5-3x)+(x-10)

Answers

Answer:

-5x

Step-by-step explanation:

-5x

step to step explaination:

2(5-3x)+(x-10)

=10-6x+x-10

=10-10-6x+x

= -5x

PLEASE MARK MY ANSWER AS BRAINLIEST.

If 49600 dollars is invested at an interest rate of 8 percent per year, find the value of the investment at the end of 5 years for the following compounding methods.

Monthly:

Daily:

Answers

Answer:

Monthly = 31000     Daily = 10950000

Step-by-step explanation:

49,600/6=31000

1825 days in 5 years

1825 x 6000

Hope that helps :)

Aaliyah has a loyalty card good for a discount at her local hardware store. The item she wants to buy is priced at $39, before discount and tax. After the discount, and before tax, the price is $33.54. Find the percent discount.

Answers

Answer:

16.13

Step-by-step explanation:

Find the differential of the function.
u = 3x4 + 4

Answers

Answer:

U(x)= 3+4

Step-by-step explanation:

I simplified this equation into function notation form, then simplified the 12 and 4 with the common factor of 4.

Hope this helped and have a great day,

Ginny

Answer:

14

Step-by-step explanation:

you could solve this three different ways

1. 4*3 is 12  so add 4 = 16

2. 4 squared because 4*4 = 16

3. draw 4 groups of four to get 16

Lindsey went to best buy and bought an MP3 Player. If the MP3 Player costs $78.99 and the sales tax was 6.5%, what was her total bill?

Answers

Answer:

$84.12

Step-by-step explanation:

78.99 x 0.065 = 5.13

78.99 + 5.13 = 84.12

Please help me with this

Answers

Answer:

13, 25, 37

Step-by-step explanation:

We can take the last two, they are 12 numbers apart. 25-12=13. That’s one of the numbers given. And voila! This is a arithmetic Progression with the rule add 12:

13, 25, 37

Hope this helps! :)

Anybody know the answer?

Answers

Answer:

Step-by-step explanation:

The sum of 3 times a number and 14 is equal to 41

Answers

Answer: The number is 9.

Step-by-step explanation:

The words of the question are in essence 3x + 14 = 41.

Subtract

3x = 27

Divide

x = 9

Hope it helps :) and let me know if you want me to elaborate.

solve for x, −3x + 8 < 15

Answers

Answer:

x>-7/3

Step-by-step explanation:

Subtract 8 on both sides:

-3x<7

Divide by -3 on both sides

(You will need to switch the signs when you divide or multiply by a negative)

x>-7/3

Thus, x>-7/3

Hope this helps!

Answer:

7/3

Step-by-step explanation:

-3x+8; Greater than 15:-3x; greater than 15-8=7:_xGreaterthan;7÷3;x Greater than 7/3

What is the quotient of 8×10 to the 20/4÷2×10 to the 18th in scientific notation

Answers

Step-by-step explanation:

[tex] = \frac{8 \times {10}^{24} }{ 2\times {10}^{18} } [/tex]

[tex] = \frac{8}{2} \times {10}^{24 - 18} [/tex]

[tex] = 4 \times {10}^{6} [/tex]

[tex] \: [/tex]

[tex] \frac{8 \times {10}^{24} }{2 \times {10}^{18} } = 4 \times {10}^{6} [/tex]

Answer:

[tex] \sf \frac{8 \times {10}^{24} }{2 \times {10}^{18} } = ... \times {10}^{?} [/tex]

[tex] \sf (8 \div 2) \times {10}^{(24 - 18)} =... \times {10}^{?} [/tex]

[tex] \sf4 \times {10}^{6} = ... \times {10}^{?} [/tex]

[tex]↪4 \times {10}^{6} [/tex]

find the the sulotion set/roots of the following equation
1. x(x + 3) = 28
2.3s(s-2) = 12s
3.( t + 1)²+(t - 8) ² = 45

4.(x + 2)² (x - 2)² 16
_______ + __ = _
5 3 3
5. 4 r
______ + ____ = -2
t - 3 2

Answers

1.

x^2 + 3x = 28

x^2 + 3x - 28 = 0

(x + 7)(x - 4) = 0

Therefore,

x = -7 or 4

2.

3s^2 -6s = 12s

3s^2 - 18s = 0

s(s - 6) = 0

Therefore,

s = 0 or 6

3.

t^2 + 2t + 1 + t^2 -16t + 64 = 45

2t^2-14t + 20 = 0

t^2 -7t + 10 = 0

(t - 5)(t - 2) = 0

Therefore, t = 5 or 2

4 .

3(x^2 + 4x + 4) + 5(x^2 - 4x + 4) = 80

8x^2-8x + 32 = 80

x^ 2 - x + 4 = 10

x^2 - x - 6 = 0

(x - 3)(x + 2) = 0

Therefore,

x = 3 or -2

5.

since r and t are close on the keyboard, I can assume one was a typo, but it wouldn’t matter which.

8 + t(t-3) = -4(t-3)

8 + t^2 - 3t + 4t - 12 = 0

t^2 + t - 4 = 0

Using the quadratic formula,

t = (-1+-sqrt(1^2 -4(1)(-4)))/2(1)

t = (-1+-sqrt(17))/2

A hose fills a hot tub at a rate of 4.86 gallons per minute. How many hours will it take to fill a ​267 gallon hot​ tub?

Answers

55 minutes i think. I did 267 divided by 4.86 and it was 54.9 and i rounded it

The mean of 4 numbers is 40, what is the sum of the 4 numbers

Answers

Answer:

the sum of 4 numbers is 160

Step-by-step explanation:

Let 4 numbers be a, b, c, d

Mean of those 4 numbers is: (a+b+c+d) : 4 = 40

So the sum of 4 numbers is: (a+b+c+d) = 40 x 4 = 160

=> 160 is the sum of 4 numbers

If the function f (x) is defined by f(x) =x over 2 minus 6

Answers

Depending on how it is written, it could be either of these following solutions:

f(x) = x/2 - 6     or     f(x) = x/(2-6)

For the first, we solve for x by replacing f(x) with 0

x/2 - 6 = 0

x/2 = 6

x = 3

For the second, do the same

x/(2-6) = 0

x/-4 = 0

x = 0

This table represents a relationship Is this relationship proportional or not proportional?

Hours Worked 2 3 4 5 6
Total Income $20.50 $30.75 $41.00 $51.25 $61.50

Select from the drop down menus to correctly complete the statement

The relationship represented by this table is ______ because the unit rates _____​

Answers

Answer:

Proportional and they are all equal to 10.25

Step-by-step explanation:

20.50/2=10.25

30.75/3=10.25

41/4=10.25

51.25/5=10.25

61.5/6=10.25

They all match. they are proportional.

Dante runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?

Answers

Answer: 2.8 miles

Step-by-step:

We can write it in the proportion [tex]\frac{7}{60} = \frac{x}{24}[/tex]

where x is our number of miles trying to find

We now cross multiply or use the butterfly method which I will demonstrate both

Cross Multiply

We multiply the numerator with the dominator

so [tex]7 multiplied by 24[/tex]

and [tex]60 multiplied by x[/tex]

[tex]7*24=60x[/tex]

[tex]168=60x[/tex]

[tex]\frac{168}{60} =\frac{60x}{60}[/tex]

[tex]2.8=x[/tex] or [tex]x=2.8[/tex]

Now for the

Butterfly Method

You would do 7 times 24 divided by 60 or [tex]\frac{7*24}{60}[/tex]

Then[tex]\frac{168}{60}[/tex] simplify

[tex]2.8[/tex] so 2.8 miles in either method

How to find out the least common denominator of 3/4 and 7/10

Answers

Answer:

20

Step-by-step explanation:

you use prime factor method to find the least common divider of denominator 10 and 5

What is the distance between the points(-3, 5) and (-3, – 6)?
O 1 unit
O 5 units
O 6 units
b
0 11 units

Answers

Answer:

11 units

Step-by-step explanation:

[tex]\sqrt{(x_{2} - x_{1})^2 + (y_{2}- y_{1})^2 }[/tex]

= [tex]\sqrt{[-3-(-3)]^2 + (-6 -5)^2}[/tex]

= [tex]\sqrt{0^2 + (-11)^2}[/tex]

= [tex]\sqrt{0 + 121}[/tex]

= [tex]\sqrt{121}[/tex]

= 11


Jasmine travels 732 miles at an average speed of 65 mi/hr. How long will it take her to reach her destination? Round your answer to
the hundredths place.

Answers

Answer:

11.26 hr

Step-by-step explanation:

Use the following equation:

Time  = distance / speedt = 732 / 65 = 11.26 (rounded)

Answer:11.26 hours

Step-by-step explanation:

x + ( -22 ) = 31
x = ?​

Answers

Answer :

x + ( -22 ) = 31

x = ?

Answer :

x = 31 - ( -22 )

x = 31 + 22 =

x = 53

x = 53 ✔️

Answer:

52

Step-by-step explanation:

x + (-21)=31

x-21=31

x=31+21

x=52

La función de costos para una compañía es C=125q + 13500 y su punto de equilibrio es q=270. Plantear la función de Utilidad

Answers

Based on the information given, the total cost incurred based on the equation given as C= 125q + 13500 will be 47250.

From the information given, the cost function is given as C=125q + 13500 while the value of q is given as 270. Therefore, on order to find the cost, we'll slot in the value of q into the equation given. This will be:

C=125q + 13500

C = 125(270) + 13500

C = 33750 + 13500

C = 47250

In conclusion, the cost is 47250.

Read related link on:

https://brainly.com/question/25441033

what is f(x) =|x – 4| + 1 graphed.?

Answers

Answer:

Step-by-step explanation:

Table of value

x            y

2          3

3          2

4          1

5          2

6          3

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