Find the equation of the exponential function that passes through the points (- 1, 1/6) and (1, 2/3) and Use the form y = c * a ^ x and show how you find the values of and a. Show all work , not just the final equation.

Will give Brainliest to the right answer with steps

Find The Equation Of The Exponential Function That Passes Through The Points (- 1, 1/6) And (1, 2/3)

Answers

Answer 1

Answer:

y = 1/3*2^x

Step-by-step explanation:

Given function

y = c*a^x

The points (-1, 1/6) and (1, 2/3) lie on the graph

Substitute the values of x and y to get the system of equations:

1/6 = c*a^(-1) ⇒ 1/6 = c/a ⇒ a = 6c2/3 = c*a^1 ⇒ 2/3 = ac

Substitute a and solve for c:

2/3 = 6c*c1/9 = c²c = √1/9c = 1/3

Find a:

a = 6c = 6*1/3 = 2

The equation of the function:

y = 1/3*2^x


Related Questions

Plz help plz help I need help

Answers

Answer:

1. X = 4

2. Y = 3

3. Y = 4 or Y = log>6 (1296)

4. X = 4

5. X = 3

6. X = 2

7. X = 2

8. X = 5

9. X = 3

sorry if I can get the letters right I couldn’t really see it well .

A sphere has a diameter of 11 inches. What is its surface area? Use 3.14 to approximate π. Round to the nearest hundredth if necessary.

Answers

Answer:

The surface area is [tex]379.94in^2[/tex]

Step-by-step explanation:

Given

Shape: Sphere

[tex]D= 11\ in[/tex] - -- Diameter

Required

Determine the surface area (A)

This is calculated using:

[tex]A = 4\pi r^2[/tex]

Where

[tex]r = \frac{1}{2}D[/tex]

[tex]r = \frac{1}{2}*11[/tex]

[tex]r = 5.5[/tex]

So, we have:

[tex]A = 4 * 3.14 * 5.5^2[/tex]

[tex]A = 4 * 3.14 * 30.25[/tex]

[tex]A = 379.94[/tex]

Hence, the surface area is [tex]379.94in^2[/tex]

Answer:

379.94

Step-by-step explanation:

show if the following numbers are rational 1¾

Answers

Answer:

Rational!

Hope that helps!

Step-by-step explanation:

In this figure, sin(a) = 2/3
What is the value of cos(b) ?

Answers

9514 1404 393

Answer:

  C)  2/3

Step-by-step explanation:

In order to answer the question, we must make an assumption about the given figure. We must assume it is a rectangle, so the left side and right side of the figure are the same length.

The ratio of the right side of the figure to the diagonal is sin(a). The ratio of the left side of the figure to the diagonal is cos(b). If we assume that the left and right sides are the same length, then ...

  sin(a) = 2/3 = side/diagonal = cos(b) = 2/3

_____

Additional comments

The figure does not have enough information to support our assumption. Of the answer choices, only (A) is a reasonable alternative. (The value of the cosine must be at most 1.)

The first attachment shows the figure with sin(a) = cos(b) = 2/3. The second attachment shows the figure with cos(b) = 1/3. There is nothing in the given drawing to say this is an incorrect interpretation. (Drawings cannot be assumed to be to scale.)

Which set of numbers are factors of 8? *

1, 4, 5
1, 2, 5
1, 2, 4

Answers

Answer: 1,2,4

Step-by-step explanation: hope it helps thx for the points :)

Answer:

should be 1,2,4!

Step-by-step explanation:

these numbers can be multiplied to get 8

how many inches represent 6 feet

Answers

Answer:

72 inches

Explanation: because if you divide 72 by 12 you would have 6 and that would be 6 feet

wht do i put in the square box ?

Answers

Answer:

3.75

Step-by-step explanation:

Volume = length x width x height

             = 2.5 x 1 x 1.5

             = 3.75 cm^3

WE count number of blocks for all values seperately, like

for height its three blocks and one block is equal to 1/2

so.

1/2 x 3= 1.5

how do you slove thia ​

Answers

Add all the equations and equal to 180

which fraction is equevleint to 12/21

Answers

Answer:

4/7

Step-by-step explanation:

They can be simplified by 3 12 divided by 3 is 4 and 21 divided by 3 is 7 so it's 4/7.

I think that the answer is 4/7

A rectangle length 34m x width 42m. what is the area of the rectangle

Answers

Answer: 1428m

Step-by-step explanation: The formula for a regular rectangle is l x w = A, or Length x Width = Area. So, if you replace L with 34 and W with 42, you will get your answer by multiplying the numbers

1,428m^2

34m X 42m = 1,428m^2

help me with this question thanks

Answers

Answer:

700

Step-by-step explanation:

175 divided by 3 is 58.3 and then you multiply 58.3 by 12 and get 700

What is the initial value of the function f(x)=9(2/3)x+4?

Answers

Answer:

x=-2/3

Step-by-step explanation:

f(x)=9×2/3x+4

0=9×2/3x+4(substitute f (x) =0)

0=9×2/3x+4

0=3×2x+4

0=6x+4

-6x=4( move the variable to left side and change the sign)

Divide both sides.. x=-2/3

The initial value of the function f(x) = [tex]\frac{-2}{3}[/tex]

We have a function f(x) = [tex]9(\frac{2}{3} )x +4[/tex]

We have to find the initial value of the function f(x).

How will you calculate the initial value of a function f(x) ?

We can calculate the initial value of a function f(x) by equating the function f(x) = 0, and find the value of [tex]x[/tex].

In the question given - f(x) = [tex]9(\frac{2}{3} )x +4[/tex]. In order to calculate the initial value of this function - equate f(x) = 0. Therefore -

[tex]9(\frac{2}{3} )x +4 =0\\[/tex]

6x + 4 = 0

x = [tex]\frac{-4}{6}[/tex]

x = [tex]\frac{-2}{3}[/tex]

Hence, the initial value of the function f(x) = [tex]\frac{-2}{3}[/tex]

To solve more questions on finding initial value of a function, visit the link below - https://brainly.com/question/8223651

#SPJ2

Answer please.....
Thanks!!!!

Answers

a. x= 11/5
b. x= 6
c. x= -12/2
d. x= 6/5

what do a and b stand for in this equation. 360°÷a=b?

Answers

Answer:

a: Represents the number of equal parts parts the circle is divided

b: Represents the measure of the central angle of each part.

(I hope this helps!!)

Answer:

a: Represents the number of equal parts parts the circle is divided

b: Represents the measure of the central angle of each part.

Step-by-step explanation:

Find the equation of a line with the given information:
f(- 6) = 8 and f( - 8) = – 1.
Wrote answer in point slope form

Answers

Answer:

[tex]y -8= \frac{9}{2}(x +6)[/tex]

Step-by-step explanation:

Given

[tex]f(-6) = 8[/tex]

[tex]f(-8) = -2[/tex]

Required

Determine the equation in point-slope form

The general function notation is:

[tex]f(x) = y[/tex]

So, in  [tex]f(-6) = 8[/tex]

[tex](x_1,y_1) = (-6,8)[/tex]

[tex]f(-8) = -1[/tex]

[tex](x_2,y_2) = (-8,-1)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2-x_1}[/tex]

[tex]m = \frac{-1-8}{-8-(-6)}[/tex]

[tex]m = \frac{-1-8}{-8+6}[/tex]

[tex]m = \frac{-9}{-2}[/tex]

[tex]m = \frac{9}{2}[/tex]

The equation is then calculated as:

[tex]y -y_1= m(x-x_1)[/tex]

[tex]y -8= \frac{9}{2}(x - (-6))[/tex]

[tex]y -8= \frac{9}{2}(x +6)[/tex]

4x2 – 13x = 7x – 25
solve an equation with two real solutions practice

Answers

Answer:

x=2.5

Step-by-step explanation:

bring all terms to one side

[tex]4x^{2} -20x+25=0[/tex]

factor it

[tex](2x-5)^{2}=0[/tex]

2x-5=0

2x=5

x=2.5

Answer:

20/33

Step-by-step explanation:

4*2-13x=7x-25

8-13x=7x-25

(subtract 7 x's)

8-20x= -25

(subtract 8)

-20x= -33

What is the difference of
7
8

1
3
?

A.
7
+
1
8
+
3
=
8
11
B.
7

1
8

3
=
6
5
C.
7
×
1
8
×
3
=
7
24
D.
(
7
8
×
3
3
)

(
1
3
×
8
8
)
=
21
24

8
24
=
13
24

Answers

Answer:

I think it is a

Step-by-step explanation:

so sorry if it wrong i tried my best

Answer:

Well the answer is 0.54166666666

Step-by-step explanation:

7/8- 1/3= 0.54166666666

Mike cuts a pie into 4 equal pieces. What is the angle measure of each piece

Answers

Answer:

90°

hope this helps :)

Answer:

90 degrees because when you cut each of them they will each measure 90 degrees.

If you answer your the G.O.A.T. Pleaseeeeeeeee somebody answer

Answers

Answer:

[tex]8 - 10 = -2[/tex]

[tex]-20 - 10 = -30[/tex]

[tex]-2 - (-19) = 17[/tex]

[tex]-25 -35=-60[/tex]

Step-by-step explanation:

(a)

[tex]8 - 10[/tex]

Rewrite as addition:

[tex]8 - 10 = 8 + (-10)[/tex]

[tex]8 - 10 = -2[/tex]

(b):

[tex]-20 - 10[/tex]

Rewrite as addition:

[tex]-20 - 10 = -20 + (-10)[/tex]

[tex]-20 - 10 = -30[/tex]

(c)

[tex]-2 - (-19)[/tex]

Rewrite as addition:

[tex]-2 - (-19) = -2 +19[/tex]

[tex]-2 - (-19) = 17[/tex]

(d)

[tex]-25 -35[/tex]

Rewrite as addition:

[tex]-25 -35=-25 +(-35)[/tex]

[tex]-25 -35=-60[/tex]

how many millimeters are in 7 liters​

Answers

7 liter = 7000000 cubic millimeters

7000000 cubic millimeters

Solve for x. −3/4(x+2)=6

Answers

Answer:

x= -10

Step-by-step explanation:

Answer:

x=-10

Step-by-step explanation:

Which of the following situations describes a positive number?
A Diving underwater 4 meters.
B Going up the elevator 14 floors.
C Losing 3 points.
D) Paying $20 out of your checking account.

Answers

Going up the elevator 14 floors. This is assuming you are not underground. All other answers have negative situations.

Paisley works on her drawings for 2 hours. She spends16 hour on each drawing. How many drawings does she work on in 2 hours?

Answers

Answer:

32

Step-by-step explanation:

You just need to multiply 16 times two.

Answer:

12 i believe.

Step-by-step explanation:

2/ 1/6 = 2 x 1/6= 1/12. using a tape diagram, you can start with two, add 6 in each 1/2 you will get 12.

Lamar is 5 feet 10 inches tall
. How
mary inches tallis Lamar?

Answers

Answer:

about 70 inches

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

5(12)+10= 70 inches

if my answer helps please mark as brainliest.

nancy lives on a corner lot. cutting across a lot that is 36 feet, and 8 ft longerthan the width.find the length and width if the lot

Answers

Answer:

The length of the lot is 13 feet, and the width is of 5 feet.

Step-by-step explanation:

Perimeter of a rectangle:

The perimeter of a rectangle of length l and width w is given by:

[tex]P = 2(l + w)[/tex]

Lot of 36 feet:

Rectangular, so [tex]P = 36[/tex]

Length 8 feet longer than the width:

This means that [tex]l = 8 + w[/tex]

Finding the width:

[tex]P = 2(l + w)[/tex]

[tex]2(8 + w + w) = 36[/tex]

[tex]16 + 4w = 36[/tex]

[tex]4w = 20[/tex]

[tex]w = \frac{20}{4}[/tex]

[tex]w = 5[/tex]

Finding the length:

[tex]l = 8 + w = 8 + 5 = 13[/tex]

The length of the lot is 13 feet, and the width is of 5 feet.

Please help me its due today

Answers

Answer:

The second one and the third one.

Step-by-step explanation:

The answer is 5*2+5*4

new i wiil make you brainleist One-fourth the difference between 2/3 and 1/2.

Answers

Forgive me if I’m wrong but is it 2.75

Write twenty three and four hundredths as a decimal

Answers

Answer:

23.04

Step-by-step explanation:

Answer:

23.04

I really hope you have really nice day and if you need any help whatsoever im here to help. Could i have brainleist/crown?

what is 243.275 in expanded form​

Answers

Answer:

200,000 + 40,000 + 3.000 + 200 + 70 + 5

Step-by-step explanation:

Answer:

243.275 = (2 * 100) * (4 * 10) * (3 * 1) * (2 * 1/10) * (7 * 1/100) * (5 * 1/1,000)

Step-by-step explanation:

Hope this helps! :)

A typical Yorkshire terrier weighs 1/6 times as many pounds as a Dalmatian. A Dalmatian weighs 54 pounds. How much does the typical Yorkshire terrier weigh?

Answers

Answer:

9 pounds

Step-by-step explanation:

1/6 is 16.67%

So 16.67% of 54 is 9

The Yorkshire terrier weighed 9 pounds.

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