1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oksana_A [137]
3 years ago
14

The graph of an exponential function passes through the point (0,15) and (1,10). What is the equation of the exponential functio

n that models the curve that passes through these two points? Explain your answer using complete sentences.

Mathematics
1 answer:
Vilka [71]3 years ago
7 0

Answer:

y=15(\frac{2}{3})^x

Step-by-step explanation:

we know that

The equation of a exponential function is of the form

y=a(b^x)

where

a is the initial value or y-intercept

b is the base of the exponential function

In this problem we have

a=15 ----> the y-intercept is given

substitute

y=15(b^x)

we have the other ordered pair (1,10)

substitute the value of x and the value of y and solve for b

10=15(b^1)\\10=15b

b=\frac{10}{15}=\frac{2}{3}

substitute

y=15(\frac{2}{3})^x

see the attached figure to better understand the problem

You might be interested in
Please help. I need a step by step explanation. Extra points will be given as well as brainiest!!!
Shalnov [3]

Answer:

V =113.04

Step-by-step explanation:

A sphere has a surface area of 113.04

SA = 4 pi r^2

113.04 = 4 pi r^2

Let pi 3.14

113.04 = 4 *(3.14) r^2

113.04 = 12.56 r^2

Divide each side by 12.56

113.04/12.56 = r^2

9 = r^2

Take the square root of each side

3 =r

We want to find the volume

V = 4/3 pi r^3

V = 4/3 (3.14) 3^3

V =113.04

3 0
3 years ago
Write a third-degree polynomial function whose zeros are 1, −3, and 4.
WARRIOR [948]
Recall that zeroes can be transformed into factors by subtracting them from x. This gives us the following factors:

(x - 1)(x + 3)(x - 4)

Now, if you multiply the first two factors together, you get the following:

(x² + 2x - 3)

Multiply that by the last factor, (x - 4), and you get this:

(x³ + 2x² - 3x - 4x² - 8x + 12)

This can be simplified:

(x³ - 2x² - 11x + 12)

And there's your final answer. Hope this helped!


8 0
3 years ago
Read 2 more answers
ANSWER ASAP!! PLEASE!! XD please answer XD
Luda [366]

The answer should be 1,656 for #1.#2 is 1,134 flakes are left. Temmie is mad at frisk and chara for taking her  flakes....GRRRRR:((((:((:(:(:(::(:(:(:(:(:(:(:((::(:(:(:(:(

6 0
3 years ago
Read 2 more answers
Claire Reagan and Anthony deliver newspapers in the neighborhoods clear deliver 79 papers a day Reagan delivers 2490 papers a mo
Nata [24]

Answer:

90,747

Step-by-step explanation:

Clair delivery=79 per day

Total delivery per year=79×365 days

=28,835

Reagan delivery=2490 per month

Total delivery per year=2490×12 months

=29,880

Anthony delivery= 616 per week

Total delivery per year =616×52 weeks

=32,032

Total delivery altogether in a year=28,835+29,880+32,032

=90,747

4 0
3 years ago
Read 2 more answers
When you multiply any whole number by the one before it, the result is always an even number.
polet [3.4K]
Verrrrrrry interesting ! / / / Every multiple of an even number is another even number. When you take any whole number and the one 'before' it ... no matter which direction 'before' means .... one of the numbers is even. So their product is a multiple of an even number, and it must be another even number.
8 0
3 years ago
Other questions:
  • A study will investigate the effectiveness of a new early reading program on
    7·1 answer
  •  The largest exponent in a polynomial is called its _____.
    10·2 answers
  • Two trains, trains a and b depart at exactly 12:00am
    8·2 answers
  • A waterwheel has a radius of 4 feet, and the center of the wheel is 1 foot under the waterline. You notice a yellow mark
    6·2 answers
  • Does anyone know how to do this?
    15·1 answer
  • I'm on the last question <br><br>the second option it's wrong (16-pi) in^2
    5·1 answer
  • Find x, y, z please help!
    7·1 answer
  • The following is an arithmetic sequence.<br> -3, 3, -3, 3, true or false
    9·2 answers
  • There is a prism with a pentagonal base the height is 8 cm the area of the pentagonal base is 30.5cm what is the volume of the p
    14·1 answer
  • PLS HELP ME WITH THIS IM GOING TO LOSE THE YEAR!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!