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
Anastasy [175]
4 years ago
10

Write an exponential function in the form y=ab^x that goes through points (0,14) and (3,3024).

Mathematics
1 answer:
Dmitrij [34]4 years ago
5 0

Answer:

y = 14 (6)^{x}

Step-by-step explanation:

For an exponential function of the form y = ab^{x}

Use the given points to find a and b

Using (0, 14 ), then

14 = ab^{0} ( b^{0} = 1 ) , thus

a = 14

y = 14b^{x}

Using (3, 3024 ) , then

3024 = 14 b³ ( divide both sides by 14 )

216 = b³ ( take the cube root of both sides )

b = \sqrt[3]{216} = 6 , thus

y = 14 × 6^{x} ← exponential function

You might be interested in
2. Show work on how to solve for the following equation, and check your solution -5 2x-3 4 5x-5​
andriy [413]

Answer:-397x+-5

Step-by-step explanation:

-52x-345x-5

=-52x+-345x+-5

=(-52x+-345x)+(-5)

=-397x+-5

6 0
3 years ago
Find diameter of the circle with the circumference of 40.82 in.
Anarel [89]
The answer is d = 12.99 in. ☺ 
The Circumference is 40.82 so you use that to get your Diameter.
5 0
4 years ago
Can you please help me with this
Vitek1552 [10]

Answer:

log9

Step-by-step explanation:

Using the rules of logarithms

logx + logy = log(xy)

logx - logy = log(\frac{x}{y})

logx^{n} ⇔ nlogx

Given

2(log18- log3) + \frac{1}{2}log\frac{1}{16}

= 2(log(\frac{18}{3} ) ) + log(\frac{1}{16}) ^{\frac{1}{2} }

= 2log6 + log\frac{1}{4}

= log6² + log\frac{1}{4}

= log36 + log\frac{1}{4}

= log( 36 × \frac{1}{4} )

= log9

5 0
3 years ago
Help please?!?!?!?!?!?!
svp [43]

slope is change in y over change in x

 use 2 points from the table so -3,-21 and -6,-39

change in Y: -39 - -21 = -18

change in x = -6 - -3 = -3

slope = -18/-3 = 6

slope = 6

8 0
3 years ago
I need help with this math please, thanks in advance. Much appreciated. 50 points available! The most helpful answer will receiv
rodikova [14]

Answer:

1. A. how much of the students time is spent on social media during school hours.

B. By using some kind of selection technique Like Having students draw number from a hat, who ever have the specific numbers will take her survey.

C. The population for Sofies research would be a rate of 5/2. For every 5 people who take the survey only 2 turned it in.

D. She would conclude that 1 out of every 2 or 50 percent of students use social media while doing school work.

2. a) It helps to get accurate data or records of the information he wants to process and also is a direct way of carrying out analysis.

b) The students definitely might get distracted in the process of his observation and there fore render the data collection not as accurate as it will be for analysis.

c) The sample are the 10 students

  The  population are high school students

d) Tony 's conclusion will be 3 out of 10 looked at social media

thus 3/10 * 100 = 30 %

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Please help i cant figure this out :(
    13·2 answers
  • A baseball team played 32 games and lost 8 Katy was the catcher in 5/8 of the winning games and 1/4 of the losing games
    15·1 answer
  • At t=0, an object of mass m is at rest at x=0 on a horizontal, frictionless surface. A horizontal force Fx=F0 (1−t/T), which dec
    11·1 answer
  • Write the equation of the line ?<br><br>y=?<br><br>PLEASE HELP <br><br><br>​
    12·1 answer
  • Plz help ill give you brainlist
    15·1 answer
  • Why equals 3/4 X -12 and why equals negative 4X - 31
    13·1 answer
  • What is 5x55x6x8x9x9999-131,986,800+9000+1=
    14·2 answers
  • I need help quick I give brainliest
    8·1 answer
  • Marcos is 7 years older than his sister, Rosa. The sum of their ages is less than 3 times Rosa's age. How old is each?​
    13·1 answer
  • Part A: James bought a cake that weighs pounds. How many ounces does the cake weigh? Show your work. (5 points)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!