An exponential relationship has a growth factor of3and y-intercept of 4.Evalute the function that represents the function that represents this relationship where x=10

Answers

Answer 1

Answer:

[tex]f(10)= 236196[/tex]

Step-by-step explanation:

Given

[tex](x,y) = (0,4)[/tex] --- y intercept

[tex]b = 3[/tex] --- growth factor

Required

[tex]f(10)[/tex]

An exponential function is represented as:

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

[tex](x,y) = (0,4)[/tex] means

[tex]4=a * b^0[/tex]

[tex]4=a *1[/tex]

[tex]a= 4[/tex]

So, we have:

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

[tex]y = 4(3)^x[/tex]

or

[tex]f(x)= 4(3)^x[/tex]

When x is 10, the value of the function is:

[tex]f(x)= 4(3)^x[/tex]

[tex]f(10)= 4(3)^{10[/tex]

[tex]f(10)= 236196[/tex]


Related Questions

kevin ran 6/7 miles and his brother james ran 10 miles. How many miles did the two of them ran.​

Answers

Answer:

16.7 miles

Step-by-step explanation:

6.7+10=16.7

The two of them ran 16.7 miles.

find the measure of the complementary angles that satisfy each case. the measure of the first angle is 30 greater than the measure of the second angle

Answers

Answer:

Step-by-step explanation:

Let the first angle = x

Let the second angle = y

They are complementary so

x + y = 90

x = y + 30

Substitute for x

y + 30 + y = 90

2y + 30 = 90             Subtract 30 from each side

2y = 90 - 30

2y = 60                     Divide by 2

2y/2 = 60/2          

y = 30

x = y + 30

x = 30 + 30

x = 60

Help meeeeeeeeeeeeeeee

Answers

Answer:

I'm pretty sure it's D becuase you can't have a power be a fraction

Step-by-step explanation:

please help me i dont understand

Answers

Answer:

x = 25

Step-by-step explanation:

Angle 1 = 2x + 10

Angle 2 = 4x + 20

These two angles are going to add up to 180 because 180 is a straight line so we get the equation:

2x + 10 + 4x + 20 = 180

6x + 10 + 20 = 180

6x + 30 = 180

6x = 150

x = 25

Yup how the other guy put it, it’s 25

I could use some help here​

Answers

Answer:

3x^3 + 6x^2

Step-by-step explanation:

2x^2 + 3x^3 + 4x^2

Combine like terms

3x^3  + (2x^2+4x^2)

3x^3 + 6x^2

Answer:

b. 6 x² + 4 x³

Step-by-step explanation:

2x ² + 3x³ + 4x²

Combine like terms, we get

2 x² + 4 x² + 3 x³

6 x² + 3 x³

option a and b both are similar.

25 points do entire slide, as shown in image.

Answers

Answer:

A=90, B=86.896551724,C=90/29

Step-by-step explanation:

B+C=90

(x28)+x=90

x=90/ 29

((90/29)28)=B

A=90° because there is the symbol indicating a right angle

How many teams haven't apperared in a super bowl
A. 2
B. 5
C.4
D. None

Answers

Answer:

c. 4

Step-by-step explanation:

I'm correct if I'm rwong

A test is worth 30 points. Multiple-choice questions are worth 7 point and
short-answer questions are worth 2 points. If the test has 20 questions, how
many multiple-choice questions are there?

Answers

Answer:cvg

Step-by-step explanation:

HELP‼️‼️‼️‼️‼️‼️‼️‼️

Answers

Answer:

a. x^(5/6) + 2x^(7/3)

Step-by-step explanation:

____

Click on the following figure to show the Rn Rm.

Answers

Answer:

there is no figure sorry

what is the binary 101*11​

Answers

Answer:

Answer Of this question is 1000

two solutions of x(18 – x) = 2(9x – 32).

Answers

Answer:

x = -8

x = 8

Step-by-step explanation:

x(18 – x) = 2(9x – 32)

distribute

18x - x² = 18x - 64

Subtract 18x from both sides

-x² = -64

multiply both sides by -1

x² = 64

Take the square root of both sides

x = ± 8

x = -8

x = 8

How many different committees can be formed from 12 teachers and 43 students if the committee consists of 3 teachers and 4 ​students?
The committee of 7 members can be selected in BLANK
different ways.​

Answers

Answer:

[tex] \displaystyle 27150200[/tex]

Step-by-step explanation:

we are two conditions

committees can be formed from 12 teachers and 43 studentsthe committee consists of 3 teachers and 4 students

In choosing a committee, order doesn't matter; in case of teachers we need the number of combinations of 3 people chosen from 12

remember that,

[tex] \displaystyle\binom{n}{r} = \frac{n!}{r!(n - r)!} [/tex]

with the condition we obtain that,

[tex]n = 12[/tex][tex]r = 3[/tex]

therefore substitute:

[tex] \displaystyle\binom{12}{3} = \frac{12!}{3!(12 - 3)!} [/tex]

simplify Parentheses:

[tex] \displaystyle\binom{12}{3} = \frac{12!}{3! \cdot9!} [/tex]

rewrite:

[tex] \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{(1 \times 2 \times 3 )\cdot1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9} [/tex]

reduce fraction:

[tex] \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10}{1 \times 2 \times 3 } [/tex]

rewrite 12 and 10:

[tex] \rm \displaystyle\binom{12}{3} = \frac{3 \times 2 \times 2 \times 11 \times 10}{1 \times 2 \times 3 } [/tex]

reduce fraction:

[tex] \rm \displaystyle\binom{12}{3} = 2 \times 11 \times 10[/tex]

simplify multiplication:

[tex] \rm \displaystyle\binom{12}{3} = 220[/tex]

In case of students we need the number of combinations of 4 students choosen from 43 therefore,

[tex] \displaystyle\binom{43}{4} = \frac{43!}{4!(43 - 4)!} [/tex]

simplify which yields:

[tex] \displaystyle\binom{43}{4} = 123410[/tex]

hence,

The committee of 7 members can be selected in BLANK different ways is

[tex] \displaystyle 123410 \times 220[/tex]

[tex] \displaystyle \boxed{27150200}[/tex]

and we're done!

Please help I will give brainlest

Answers

Step-by-step explanation:

D. 321 square feet

26-15= 11

6*11= 66ft²

15*17= 255ft²

255+66= 321ft²

Area= 321ft²

Might be wrong but hope it helped!

#1
{(3, 7), (2, 4), (-1, 7), (0, 2)}
The domain is...

The range is....

Answers

domain: {3,2,-1,0}
range: {7,4,2}

- 3/10h = 15 what does h =

Answers

Answer:

h = -50

Step-by-step explanation:

- 3/10h = 15

Multiply each side by -10/3 to isolate h

-10/3 * - 3/10h = 15 * -10/3

h = -150/3

h = -50

Answer:

h = -50

Step-by-step explanation:

label this graph as “linear” or “non linear”

Answers

This answer is Nonlinear

This graph is non linear! Hope this helps! :)

The sides of a triangle are x cm, (x -1) cm and (x+2) cm. IF the perimeter is 31 cm, then the SHORTEST side is

Answers

Answer:

9 cm

Step-by-step explanation:

Applying,

P = a+b+c................. Equation 1

Where P = Perimeter of the triangle, a, b,c are the three sides of the triangle respectively.

From the question,

Given: P = 31 cm, a = x cm, b = (x-1) cm, c = (x+2) cm

Substitute these values into equation 1, and solve for x

31 = x+(x-1)+(x+2)

31 = 3x+1

3x+1 = 31

3x = 31-1

3x = 30

divide both side by 3 to get x

3x/3 = 30/3

x = 10.

Therefore,  the sides of the triangle are

a = x = 10 cm,

b = (x-1) = (10-1) = 9 cm

c = (x+2) = (10+2) cm = 12 cm

Hence the shortest side is 9 cm

What is the area of the trapezoid shown below?
6 cm
13 cm
13 cm
+ 12 cm
16 cm

Answers

Answer:16cm

Step-by-step explanation:


Write an equation in slope-intercept form of
the line that passes through (-6,4) and
(-1,2).

Answers

The answer to your question is y= -2/5x + 8/5

factorise: x³ + 4x
(with explaining the steps)​

Answers

Answer:

x( x^2+4)

Step-by-step explanation:

factor out x from the expression

xx (x^2+4)

than your answer is x( x^2+4)

Answer:

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

Step-by-step explanation:

as the x is the common factor...get x out

[tex] {x}^{3} + 4x[/tex]

[tex]x( {x}^{2} + 4)[/tex]

Then

[tex]x( {x}^{2} + 4) \\ x( {x}^{2} + {2}^{2} ) \\ x(x + 2)(x + 2)[/tex]

Hope this helps you

The quotient of a number and - 2/3 is -9/10

What is the number?
1 7/20
3/5
29/30
20/27

Answers

Answer:

n = 3/5

Step-by-step explanation:

Represent this quotient as:

 

   n

---------

-2/3

and set it equal to -9/10:

   n           -9

--------- = -------

-2/3          10

Cross multiplication yields:

10n = 6, so that n = 6/10 or n = 3/5

Find the slope from the two points given: (2, 1) and (3,-10)

Answers

Answer:

-11

Step-by-step explanation:

let (2,1)be x1 and y1 respectively

(3,-10) be x2 and y2 respectively

From,slope= (y2-y1)/(x2-x1)

=(-10-1)/(3-2)

= -11/1

= -11

h(x)=x^3 -4x g(x)=x+2 find (h/g) (x)

Answers

Answer:

(h/g)(x) = x² - 2x

Step-by-step explanation:

h(x) = x³ - 4x

g(x) = x + 2

(h/g)(x) = h(x)/g(x) = (x³ - 4x) / (x + 2) = x² - 2x

The measure of 1 in the diagram below is 113º.

What is the measure of <4?

Answers

The answer is 67 degrees

Write an equation for this graph

Answers

Answer:

y = -x - 2

Step-by-step explanation:

The slope is -1 and the y-intercept is (0, -2).

PLEASE HELP! Which of the following points are in the second quadrant of the xy-plane? Check all that apply.

A. (-7,6)
B. (-2,-8)
C. (6,-2)
D. (-4,2)
E. (2, 2)
F. (4,8)

Answers

Answer:

a and d i think bc they are negative-positive

How do I do this? (Will give Brainliest) (Instructions if you could please)

Answers

Answer:

C

Step-by-step explanation:

It’s C I just know it I solve it that’s why

A 6-foot diameter circle is divided
into six congruent sectors. What
is the area of each sector in square
inches? (Use 3.14 for 2.)

Answers

Answer:

the area is 1235

Step-by-step explanation:

Answer:

2714.33 sq in

explanation-

since circle is divided into 6 congruent sectors, area of each sector is 1/6th of area of circle.[tex]ar \: of \: sector \: = ar \: of \: circle \: \div 6 \\ = \pi \times 72 \times 72 \div 6 \\ = 2714.33[/tex]

Will give brainliest and 15 points

Answers

Statistics & Data

For this data set, there is an outlier. The outlier is four.

This is representing a small number of assignments required in math class that month.

This means that the correct answer is B.

Answer:

B

Step-by-step explanation:

The answer should be B or the second choice because the number 4 is unusually low compared to the rest of homework assignments given in the other math classes for that month. I made a graph to show how the number 4 is not near the number of homework assignments given in the other math classes.

If you think I missed something or made a mistake, please let me know.

Other Questions
In preparation for developing its statement of cash flows for the year just ended, D-Rose Distributors collected the following information: ($ in millions) Purchase of treasury bills (considered a cash equivalent) 7.1 Sale of preferred stock 151.1 Gain on sale of land 5.1 Proceeds from sale of land 26.1 Issuance of bonds payable for cash 141.1 Purchase of equipment for cash 31.1 Purchase of GE stock 36.1 Declaration of cash dividends 135.1 Payment of cash dividends declared in previous year 131.1 Purchase of treasury stock 121.1 Payment for the early extinguishment of long-term notes (carrying (book) value: $100 million) 111.1 Required: 1. Prepare the investing activities section of D-Rose's statement of cash flows. 2. Prepare the financing activities section of D-Rose's statement of cash flows. (For all requirements, list any cash outflow with a minus sign. Enter your answer in millions rounded to 1 decimal place (i.e., 5,500,000 should be entered as 5.5).) If the distance the pepper flakes moved were a measure of the strength of the intermolecular force, would you say the effect was stronger or weaker in hand sanitizer compared to soap The scale on the map indicates 1 inch= 150 miles. The distance from Philadelphia to Miami is 1200 miles. on the map, how far apart are Philadelphia and Miami? add this (9j+6)+(9j+9) There are 6 toppings at an ice cream shop. You can choose any number of toppings from 0 all the way up to 6 (if you don't mind combining things like gummy bears and Oreo crumbles). How many possible ways are there to choose your toppings. Sarah has lived in Paris ... 1995 What are the domain and range of the function f(x)= -log(5- x)+9?Domain; x A metal wire breaks when its tension reaches 100 newton. If the radius and length of the wire were both doubled then it would break when the tension reached how many newtons Does anyone know what this is : x + 2 = 3 Black panthers eat other animals in their ecosystem, including deer, fish,birds, and rabbits. Which of the following terms best describes a blackpanther?O A. ProducerB. HerbivoreC. CarnivoreD. Omnivore If you decreased the volume of a sample of gas by a factor of three while maintaining a constant pressure, how would the absolute temperature of the gas be affected?A gas at 300 K and 4.0 atm is moved to a new location with a temperature of 250 K. The volume changes from 5.5 L to 2.0 L. What is the pressure of the gas at the new location?What is the partial pressure of 0.50 mol Ne gas combined with 1.20 mol Kr gas at a final pressure of 730 torr? ALMN is a right triangle. Which of the following statements best describes the postwar US economy? 1. Which of the following is a nonlinear function?A. The items at a clothing store are sold at a discount of 20% off the original price.B. The number of dogs in a town increases by 20 per neighborhood per year.C. A soccer manufacturing company spends $5 on each soccer ball.OD. The number of students enrolling at a high school increases each year by a factor of 1.25. What will happen if the testes and ovaries will not produce hormones? A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2916 with a mean life of 518 minutes. If the claim is true, in a sample of 81 batteries, what is the probability that the mean battery life would be greater than 526.4 minutes Greek engineers had the unenviable task of moving largecolumns from the quarries to the city.One engineer,Chersiphron, tried several different techniques to do this. Onemethodwas to cut pivot holes into the ends of the stone andthen use oxen to pull the column. The 5-ft diameter columnweighs 14,000 lbs, andthe team of oxen generates a constantpull force of 2,000 lbs on the center of the cylinder,G. Knowingthat the column starts from rest and rolls without slipping,determine:(a) the velocity of its center,G,after it has moved7ft,and (b) the minimum static coefficient of friction that will keepit from slipping. definition of Xenophobia When Irene's professor failed to recognize several times that Irene had her hand raised to answer a question, she began to think he disliked her. Despite learning later that the professor's limited vision would have made it impossible for him to see her raised hand, Irene continued to think he disliked her. Irene's reaction best illustrates: What is the surface area of the right rectangular prism?