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
Rainbow [258]
2 years ago
5

Write an exponential function in the form y=ab^2 that goes through points (0,18) and (3, 9216)

Mathematics
1 answer:
Alex_Xolod [135]2 years ago
4 0

Answer:

  y = 18·8^x

Step-by-step explanation:

We assume you want a model that looks like y = ab^x.

To find the values of "a" and "b", you can fill in the given numbers and solve the system of equations:

  18 = a·b^0

  9216 = a·b^3

The first equation tells you ...

  18 = a

Dividing the second equation by the first gives ...

  9216/18 = (a·b^3)/(a·b^0) = b^3

  512^(1/3) = b = 8

The exponential function is ...

  y = 18·8^x

You might be interested in
Indicate the equation of the given line in standard form. The line through point (-3, 4) and perpendicular to a line that has sl
statuscvo [17]
To be perpendicular the product of the two slopes must equal -1.

2m/5=-1

2m=-5

m=-2.5

since y=mx+b we have so far

y=-2.5x+b, using point (-3,4) we can solve for b

4=-2.5(-3)+b

4=7.5+b

b=-3.5 so

y=-2.5x-3.5  We can multiply the whole equation by two so that the coefficients are integers...

2y=-5x-7  add 5x to both sides

5x-2y=-7
6 0
2 years ago
What property is demonstrated by 7+h=h+7
julia-pushkina [17]

Answer:

commutative property

hope that helped, if yes give me brainliest and if no draw my attention by hitting the comment box.

5 0
2 years ago
Read 2 more answers
Find the distance speed=96km/h time=20 mins
Alex_Xolod [135]

Answer:

32km

Step-by-step explanation:

speed=96km/h

time=20mins=1/3hour

<h3>Distance=Speed×Time</h3>

➜96×1/3

➜96/3

➜32km

6 0
2 years ago
What is 4k-14+3k=21​
BARSIC [14]

So here. I don't know how to explain so-

5 0
3 years ago
Read 2 more answers
Two Identical Buildings stand parallel on opposite sides of a road. Find the angle of depression from A to B
Aleks04 [339]

Answer:

8.7°

Step-by-step explanation:

The above problem can be represented by a right angled triangle with height of 7 m, hypotenuse = AB.

The base of the triangle is gotten by finding the diagonal of the road. That is using Pythagoras theorem:

base² = 43² + 15²

base² = 2074

base = 45.54 m

Using trigonometric function to find angle A:

tan(A) = base / height

tan(A) = 45.54 / 7

tan(A) = 6.506

A = tan⁻¹ (6.506)

A = 81.3°

Angle of depression = 90° - A = 90 - 81.3

Angle of depression = = 8.7°

6 0
2 years ago
Other questions:
  • Como Resolver este
    14·1 answer
  • James had 10 apples and he gives 8 two too his sister how many does he have
    12·2 answers
  • What is the approximate area of a circle with a diameter of 56 cm? Use your calculator button for π. Round your answer FOUR deci
    10·1 answer
  • Each side of a quilt square measures approximately 4.25 inches. If there are about 2.54 centimeters in 1 inch, how long is each
    15·1 answer
  • S is between Band C.<br> True<br> False
    13·1 answer
  • Which ratio is equivalent to
    11·1 answer
  • I need help the answers that are there are
    6·1 answer
  • Noah receives a $5 discount each month on his cell phone bill because he signed up for
    10·1 answer
  • How many kilometers in 2 pounds
    15·1 answer
  • In a study on the placebo effect on 100 students, 64 were found to perform better on tests after taking a fake pill to improve c
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!