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
ale4655 [162]
3 years ago
15

Find the formula for an exponential function that passes through the two points give.

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
6 0

Answer:

y=3(2)^{x}

Step-by-step explanation:

Given.

Two points are given.

(x, y)=(-1,\frac{3}{2}) and (x, y)=(3,24)

An exponential function is in the general form.

y=a(b)^{x}-------(1)

We know the points  (-1,\frac{3}{2}) and (3,24)

put the first point value in equation 1

\frac{3}{2}=a(b)^{-1}

\frac{3}{2}=\frac{a}{b}

a=\frac{3}{2}\times b--------(2)

put the second point value in equation 1

24=a(b)^{3}----------(3)

Put the a value from equation 2 to equation 3

24=\frac{3}{2}\times b(b)^{3}

b^{3+1}=\frac{24\times 2}{3}

b^{4} = 16\\b=\sqrt[4]{16} \\b=2

Put the b value in equation 2

a=\frac{3}{2}\times 2

a=3

Put the a and b value in equation 1

y=3(2)^{x}

So, the exponential function that passes through the points  (-1,\frac{3}{2}) and (3,24)) are y=3(2)^{x}.

You might be interested in
Find each percent decrease round to the nearest percent from 145 pounds to 132 pounds
BabaBlast [244]
9% decrease because 145-132=13
13=9% of 145
7 0
3 years ago
Read 2 more answers
Find the center and radius of (x-4)2 + (y+2)2 = 32
Trava [24]

Step-by-step explanation:

General equation of the circle with center (h,k) and radius r,

(x-h)²+(y-k)²=r²

Therefore, on comparison

center ( 4, -2)

radius r= 4√2

6 0
3 years ago
What congruent theorem is this triangle...need help please
agasfer [191]
… z =w …angle v x w = angle z x y
It follows AAA SIMILARITY Relation
7 0
3 years ago
Use the intercept method to graph the equation y=-3
Strike441 [17]
What if I write the equation like this:
y = zero x - 3.
Now you know that the slope of the line is zero and its y-intercept is -3.
That's a horizontal line that crosses the y-axis at -3. And just like the equation says, the value of 'y' doesn't depend on 'x'. It's -3 everywhere.
6 0
3 years ago
Write the expression as a product.<br> 25-(a + 7)^2
Nastasia [14]

25 -  ({a + 7})^{2}  =

(5 + (a + 7))(5 - (a + 7)) =

(a + 12)( - a - 2)

Have a great day ♡

6 0
2 years ago
Read 2 more answers
Other questions:
  • What is 825x92. (just practice for 25 points)
    12·2 answers
  • PLEASE HELP ME ! I NEED HELP ASAP IVE BEEN STUCK ON THIS FOR A WHILE
    12·1 answer
  • 9log9(4) = <br><br> A. 3 <br> B. 4<br> C. 9 <br> D. 81
    13·1 answer
  • Jacob bought a new circular saw . Then he bought 8 different blades for it. Each blade cost $23 . How much did Jacob spent on al
    6·1 answer
  • Plz help due soooon thx
    14·1 answer
  • 9.0<br> 3.5<br> 140<br> -----<br> 12<br> 12<br> units?
    13·1 answer
  • Help me asap..........:
    8·1 answer
  • At the city museum, child admission is $6.20 and adult admission is $9.90 . On Monday, three times as many adult tickets as chil
    14·1 answer
  • The first floor of a house consists of a kitchen And dining room. The areas of the living room ,kitchen, and dining room are in
    5·1 answer
  • Given the rational function f(x)=2x+6/x-3, Answer the following questions.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!