Write an

exponential function in the form y = ab^x

that goes through points (0,13) and (3,832).

Answers

Answer 1

Answer:

y = 13 × [tex]4^{x}[/tex]

Step-by-step explanation:

Substitute the given values into the exponential

Using (0, 13 ) , then

13 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ) , so

a = 13

y = 13 [tex]b^{x}[/tex]

Using (3, 832 )

832 = 13 b³ ( divide both sides by 13 )

64 = b³ ( take cube root of both sides )

b = [tex]\sqrt[3]{64}[/tex] = 4

The exponential function is

y = 13 [tex](4)^{x}[/tex]


Related Questions

*HELP
What is the aspect ratio of a sheet of paper with the following dimensions:

20-inches x 8-inches

Round your answer to the nearest tenth.

Answers

Just multiply 20x8 and the answer will be 160 and just round it to the nearest tenth and the. It’ll be 200



Which pairs of rectangles are similar polygons?

Select Similar or Not Similar for each pair of rectangles

Answers

Answer:

Second and fourth pairs of rectangle are similar.

Write the slope intercept form of the equation given the slope of 4 and the y intercept
of (0,-2)

Answers

Answer:

y=4x-2

Step-by-step explanation:

m=4

put what numbers you know into the equation for b.

-2=4(0)+b

-2=0+b

-2=b

now put that into the equation

y=4x-2

what is 7.5% less than 120

Answers

Answer:

111

Step-by-step explanation:

7.5% less than 120

120 - 7.5% of 120 = 120(1 - 7.5/100) = 120*0.925 =111

Guys pls help me!!!!!

Answers

Answer: x = 41 degrees
Y = 41 degrees


Explanation: 180-139= 41

A rectangular painting's width is 2 inches more than twice
its length. The perimeter is 40 in. Find the dimensions.

Answers

W=14 inches, L=6 inches. 6x2=12 12+2=14, 14+14+6+6=40 hope that makes sense

Solve for x
please give an explanation

Answers

[tex]293 {8}^{?} \sqrt{96} [/tex]

70 minutes for 24 songs
=
[blank] minutes for 12 songs

Answers

Answer:

35

Step-by-step explanation:

70 minutes for 24 songs

70/2 minutes for 24/2 songs

35 minutes for 12 songs.

Answer:

35 minutes for 12 songs

Step-by-step explanation:

hope this helps

LOL LAST 1 IM SORRY AHHHH !!!!

Answers

Answer:

102

Step-by-step explanation:

Answer:

Fairly easy just 180-102-30= 48 degrees So since you know the third angle within that triangle just take 180 - 48 which gives you 132 degrees. 132 is the angle FGH.

Step-by-step explanation:

180-  102 - 30= 48 degrees

180 - 48 = 132 degrees

A teacher is buying supplies for an upcoming art project. She buys x bottles of paint for $1.29 each. She buys 8 more canvases than bottles paint for $1.89 each. Her total pretax cost is $37.38. How many of each item is she buying?

Answers

Answer:

She is buying 7 bottles and 15 canvases of paint

Step-by-step explanation:

Answer:

7 bottles of paint and 15 canvases

Step-by-step explanation:

I'm letting x stand for the number of bottles of paint and y stand for the number of canvases

1.29x+1.89y=37.38

and y=x+8

Since the y value is isolated I can just substitute the right side of the y= equation into the original like so

1.29x+1.89(x+8)=37.38

I then distributed the 1.89 to each of the terms in the parentheses

1.29x+1.89x+15.12=37.38

I then combined like terms to get

3.18x+15.12=37.38

Then you subtract 15.12 from both sides to get

3.18x=22.26

and last we divide both sides by 3.18 to get

x=7

Now that we have x, we still need to solve for y, so I take the original equation y=x+8 and substitute in the value we solved for x to get

y=7+8

y=15

Don't forget the labels you gave each variable earlier in the problem when answering!

Graph this equation on the coordinate plane.

y=−2x+4

Select two points on the line to graph the line.

Answers

Answer:

(0,4) and (1,2)

Step-by-step explanation:

The standard equation of a straight line is given as y = mx + b

m is the slopeb is the y-intecept

Given the equation y = -2x + 4

The slope is -2 and the intercept is 4.

Is x = 0, then;

y = -2(0) + 4

y = 4

One of the point on the graph is (0,4)

If x = 1, then;

y = -2(1) + 4

y = -2 + 4

y = 2

Hence the second point is (1, 2)

Learn more on equation of a line here: https://brainly.com/question/19417700

Please help It really important​

Answers

A

the domain is the x-axis number soooo

Can someone let me know how to work these out. I don’t want the answer i want the method please!!

Answers

Answer:

45: you want to multiply 1/7 by 49x and then multiply 1/7 by 7y

47: you want to multiply 1/8 by 8x and then multiply 1/8 by -16

49: you want to multiply 1/10 by 100x and then multiply 1/10 by 10y

Answer:

Step-by-step explanation:

factorization, is that how u call it? S: Im not good at english

49 = 7x7, right?

and

7 = 7 x 1

then (49x + 7y) = (7*7x + 7y) = 7(7x + 1y)

7*7x = 49x

7*1y = 7y

--------------------------------------------------------

1*7 -----> 7(7x + 1y)

              -------------

                    7

Simplify 7/7 = 1

answer = 7x +y

What is the least common denominator (lcd) of 1/2 2/3

Answers

Answer:

6

Step-by-step explanation:

Find the least common multiple (LCM) of the denominators in order to find the least common denominator (LCD).

suppose the cost of a speeding ticket where the speed is 65 miles per hour is:

Answers

Answer:

A

Step-by-step explanation:

verify it as fast as you can​

Answers

Answer:

(a+6)²

by identity (a+b)²=a²+2ab+b²

(a+6)²= a²+ 2×a×6 + 6²

= a²+ 12a + 36

(2a)²+5a = 4a²+5a

Please
Helppppp :) :)

Answers

Answer:

mm the answer would be

Step-by-step explanation:

1 may be

1. the answer is D (3) 2. the answer is B (57)

PLEASE HELP ASAP I WILL GIVE U A LOT OF POINTS AND BRAINLIEST :D

Answers

1.46 x 10^10 if I believe right
#1

Multiply to get the answer:

4×10⁷ * 3.65×10² = (4*3.65)×10⁷⁺² = 14.6×10⁹ = 1.46×10¹⁰ krill#2

Convert to scientific notation and find the ratio of the second number by the first:

26000000000 = 2.6×10¹⁰

Divide:

4.94×10¹³ ÷ 2.6×10¹⁰ = (4.94/2.6)×10¹³⁻¹⁰ = 1.9×10³ = 1900 times

ΔABC is similar to ΔDEF. The length of segment AC is 12 cm. The length of segment BC is 18 cm. The length of segment DF is 10 cm.

What is the length of segment EF?
Question 1 options:

15


14


10


9

Answers

Answer:

It's 15

i took the test

Step-by-step explanation:

An airline carries 9,000 passengers per day. How many passengers will the airline carry in 9 days?​

Answers

Answer:

I think it would be 81,000 hope this helps ;)

Step-by-step explanation:

Jill read 9 pages. Sam read 3 times as many pages as Jill. How many pages did both Jill and Sam read?
12
27
36
45

Answers

Answer:

Together, Jill and Sam read 36 pages.

Step-by-step explanation:

9 + (9 * 3)

9 + 27

36

Answer:

27

9x3 is 9+9+9 then its 27

What is the value of 6(9+2)/h when g = 6 and h = 4?​

Answers

Answer: 12

Plug 6 and 4 into the problem-

6(6 + 2)/4

6(8)/4

48/4 = 12

Hey there!

6(g + 2) / h

= 6(6 + 2) / 4

= 6(8) / 4

= 8(6) / 4

= 8 + 8 + 8 + 8 + 8 + 8 / 4

= 16 + 16 + 16 / 4

= 32 + 16 / 4

= 48 / 4

= 48 ÷ 4 / 4 ÷ 4

= 12 / 1

= 12 ÷ 1

= 12


Therefore, your answer is: 12


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Choose the grid reference number for the mine shown.
A. 631226
B. 126362

Answers

Answer:

631226

Step-by-step explanation:

The grid reference number for the mine shown is (63.35, 12.7).

What is coordinate plane?

A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.

From the given grid,

The reference point is (63.35, 12.7)

Therefore, the grid reference number for the mine shown is (63.35, 12.7).

Learn more about the coordinate plane here:

https://brainly.com/question/24134413.

#SPJ2

A T-shirt costs $4. A pair of shoes costs 7 times as much as the T-shirt. How much do the shoes cost?

А. $11


B $30



C $28




D $24​

Answers

youre answer is C because you multiply 4$ by it’s self seven times 4x7=28
$28.
Step by Step~
$4- tshirt
Shoes- 7x as much as tshirt
$4x7 = 28

May I please receive help?

Answers

Can you please put a more bigger picture?

3. What is the slope of the given graph?
y =

Answers

Answer:

1/2

Step-by-step explanation:

Remember rise over run (rise/run). Rise is the movement in the y axis and run is the movement within the x axsis.

1/2 is the thingy didijd

Directions:Classify the following polynomials by degree and number of terms.

ANYONE PLEASE HELP ME WITH MY QUESTIONS 2 AND 3 I REALLY NEED THE ANSWER RIGHT NOW BECAUSE I HAVE TO PASS THIS LATER I HOPE Y’ALL CAN HELP ME:(
I’LL MARK BRAINLIEST FOR THOSE WHO CAN ANSWER IT CORRECTLY!

Answers

Answer:

Question 2: The degree is 3 and the terms are 2, Binomial

Question 3: The degree is 2 and the terms are 3, Polynomial

Step-by-step explanation:

Jason deposits $1500 in an account that earns 6% interest compounded monthly. How much will Jason have after 10 years?

Answers

Compound interest formula:

Total = principal( 1 + interest rate/number of compounds per year)^ (compounds x years)

Total = 1500(1 + 0.06/12) ^ (12 x 10)

Answer: $2,729.10

plsss help me with this:(((​

Answers

Answer:

First we need our slope equation

Y₂-Y₁/X₂-X₁

So we have our equation now lets plug it in

-9+2/-4-3 (we make it a plus for -9+2 because the two minuses cancel out).

So now we have -7/-7 which is 1 because -7 divided by itself is one. Thereby your answer is A. 1

Same thing for question 12

1-5/2-4

-4/-2 which is 2 because -2 goes into -4 two times so your answer is A. 2

The variables y and x have a proportional relationship, and y = 7 when x = 2.

What is the value of y when x = 5?

Answers

Answer:

35/2

Step-by-step explanation:

y ~ x

y=ky

7=2k

k=7/2

y=(7/2) × 5

y=35/2

Other Questions
a is a negative odd numberchoose two words from the list which describe a^2NegativePositiveOddEven That was a cold and stormy night. 1. . went to bed earlier than usual, but I decided to stay in the living room reading my new novel about mystery. Suddenly, 2. happened in the kitchen, I heard a strange noise. I stood up and went rapidly to see what was happening. I couldnt see 3. . out of the ordinary. 4. .was calm and quiet. I came back to the living room and kept on reading my book. When I opened the second page, I heard a noise coming from the front window and a shadow disappearing in the night. When I looked through the window I saw 5. ... It was a very rare night. Every time I tried to read my book 6. . inexplicable happened. Was the mysterious novel becoming true? I examined 7. in the living room, I was trying to find the odd thing that was producing the strange noises but I could find 8. . finally, I decided to go to bed and forget about that scary night.(0.5 puntos) Which among the Apllied Social Sciences would best deal with concerns about life What did Rutherford B Hayes have to agree to do as President in theCompromise of 1877? *Appoint a Southerner to his CabinetSpent federal $$ to help rebuilt the SouthRemove federal troops from the SouthAll of the above . Without ________, all Gainsborough Corporation workers must attend the summer training seminar.A. except B. excepts C. exception D. exceptional Which term of ap 30,27,24is0 Can you use the perpendicular bisector theorem to solve for RS? a)yes b)no -3x-2= -3x-2=-3x1.5=-3x3= what is the length of the diagonal of a rectangle with width 3,5 cm and length 4,5 cm give your answer in simplest surd form How can data be represented? What is an equation of the line that passes through the point (-2,7)(2,7) and is perpendicular to the line x-4y=24x4y=24? Which describes a chemical change? (Select all that apply.)A new substance is created. A phase change is occurring. It is a permanent change. It can be a physical change. Which of the following has more atoms?One mole of zincOne mole of goldOne mole of silverOne mole of magnesiumO They all have the same number of atoms 13. Which characteristic of the Industrial Revolution most directly contributed tothe health concern highlighted in this illustration and excerpt?(1) urban population growth(2) improved communication(3) new power sources(4) trade union movement A bottle has 1110 ounce of cough syrup. Each does is 35 of an ounce. How many does are in a bottle of cough syrup? Who gradually gained control of the Greeks? Need help finding this answer 9 8 = please help I will mark brainiest 1. Oxygen was discovered by Joseph Priestley in 1774 when he heated mercury (II) oxide, HgO, to decompose it to form its constituent elements. How many moles of mercury (II) oxide are needed to produce 125 g of oxygen?Given:Unknown:Mole ratio:Solution:2. In a blast furnace, iron (III) oxide is used to produce iron by the following (unbalanced) reaction:Fe2O3(s) + CO(g) Fe(s) + CO2(g)If 4000 g of Fe2O3 is available to react, how many moles of CO are needed?Given:Unknown:Mole ratio:Solution:Final answer:ugh pls help:( Complete the blanks in the following paragraph using the appropriate words from the list:anterior, bilateral, inferior, lateral, medial, posterior, superiorDominic's friends thought they were really funny when they dropped a water balloon on his head! The water drenched the (1) ___ portion of his head and then ran down the (2) ___ portion of his body, getting the front of his shirt all wet. He and his younger brother decided to get back at his friends by sneaking up on them with their water guns. They tiptoed up behind C.J., soaking his back and the entire (3)___ of his body. Next, they snuck up on Tony. Dominic sprayed down the middle, (4)___ part of Tony's body while his brother sprayed the arms and other (5) ___ portions. Good thing it was a hot day because everyone was soaked by the end of the game!