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

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).

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]

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Answer:

700

Step-by-step explanation:

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

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]

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

Answer:

x= -10

Step-by-step explanation:

Answer:

x=-10

Step-by-step explanation:

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

Answer:

The second one and the third one.

Step-by-step explanation:

The answer is 5*2+5*4

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.

7 liter = 7000000 cubic millimeters

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

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.

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 .

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.)

Answer:

90°

hope this helps :)

Answer:

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

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

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?

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.

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

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:

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.

Answer:

Rational!

Hope that helps!

Step-by-step explanation:

Answer:

72 inches

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

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:

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! :)

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.

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]