Can someone help me figure out how to do this?

Answer:

[tex]f(x) = \frac{24}{25} * \frac{5}{6}^x[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (2,\frac{2}{3})[/tex]

[tex](x_2,y_2) = (3,\frac{5}{9})[/tex]

Required

Write the equation of the function [tex]f(x) = ab^x[/tex]

Express the function as:

[tex]y = ab^x[/tex]

In: [tex](x_1,y_1) = (2,\frac{2}{3})[/tex]

[tex]y = ab^x[/tex]

[tex]\frac{2}{3} = a * b^2[/tex] --- (1)

In [tex](x_2,y_2) = (3,\frac{5}{9})[/tex]

[tex]y = ab^x[/tex]

[tex]\frac{5}{9} = a * b^3[/tex] --- (2)

Divide (2) by (1)

[tex]\frac{5}{9}/\frac{2}{3} = \frac{a*b^3}{a*b^2}[/tex]

[tex]\frac{5}{9}/\frac{2}{3} = b[/tex]

[tex]\frac{5}{9}*\frac{3}{2} = b[/tex]

[tex]\frac{5}{3}*\frac{1}{2} = b[/tex]

[tex]\frac{5}{6} = b[/tex]

[tex]b = \frac{5}{6}[/tex]

Substitute 5/6 for b in (1)

[tex]\frac{2}{3} = a * b^2[/tex]

[tex]\frac{2}{3} = a * \frac{5}{6}^2[/tex]

[tex]\frac{2}{3} = a * \frac{25}{36}[/tex]

[tex]a = \frac{2}{3} * \frac{36}{25}[/tex]

[tex]a = \frac{2}{1} * \frac{12}{25}[/tex]

[tex]a = \frac{24}{25}[/tex]

The function: [tex]f(x) = ab^x[/tex]

[tex]f(x) = \frac{24}{25} * \frac{5}{6}^x[/tex]

Answer:

50% is

Step-by-step explanation:

A display screen at the airport shows the arrival and departure information of flights. Which data type is suitable to show the arrival of a flight? How can you display a list of flights in the ascending order (latest departure first) of their departure time?

The

data type is suitable to show the arrival of a flight. The

operation can help display flights in the ascending order of their departure time.

Answer:a)24minutes b)12 minutes c)9.6minutes d)4.8 minutes

Step-by-step explanation:

x         50               x           25                      x                20              x         10

___=_____         _____=______         _________=________   ____=_____

48      100               48          100                 48                100            48     100

x(100)=48(50)          x(100)=48(25)                x(100)=48(20)            x(100)=48(10)

100x=2400                100x=1200                  100x=960                 100x=480

__________                __________             __________            _________

100       100                    100     100                   100    100               100        100

x=24minutesat50% x=12minutesat25%x=9.6minutesat20% x=4.8minutesat10%

Answer:

B

Step-by-step explanation:

12x18x2= 432 So your answer will be 432

Answer: A

Step-by-step explanation: There are 3 black stars and 4 striped stars. Therefore 4:3 is the ratio.

Answer:

B *second one down.

Step-by-step explanation:

EF = 1/2(AB + CD)

x+5 = 1/2 (2x + 2 + 2x+4)   Combine the like terms on the right.

x+5 = 1/2 (4x + 6)                Remove the brackets.

x+5 = 1/2*4x + 1/2*6

x+5 = 2x + 3                       Subtract x from both sides

5 = 2x-x + 3

5 = x + 3                            Subtract 3 from both sides

5-3 = x

x = 2

EF = x + 5

EF = 2 + 5

EF = 7

The answer is B

Answer:

Look below

Step-by-step explanation:

So you know a point and the slope, now you can substitute the values of the point for the equation.

Answer: y = (5/2)x + 7

Step-by-step explanation:

Plug in given numbers into the following equation:

y = mx + b

Solve for b:

-3 = (5/2)(-2) + b

-3 = -10 + b

b = 7

Answer:

Your answer is A, or -200.

Since your slope is going down, you know that the number is going to be a negative value. Then, check where the line hits a direct point. You would notice that it hits every 200 number values, which means that your answer is A.

Answer: 34 questions right

Turn 85% into a decimal so .85 then multiply by 40 to get 34

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

1/5 + 1/5 + 1/5 is 3/5

add the 1 three times then don't add the denominator because it wont change in addition

Answer: 6/10

Step-by-step explanation:

1/5+1/5+1/5=3/5

3/5=6/10

Answer:

5:11

Step-by-step explanation:

Answer:

11:16

Step-by-step explanation:

Sorry if incorrect

Answer:

169

Step-by-step explanation:

10 x 16.6 = 168

168 + 1 = 169

Answer:

48

Step-by-step explanation:

Answer:

[tex]3 > b[/tex]

Step-by-step explanation:

Given

[tex]a = 1[/tex]

[tex]c = 2[/tex]

Required

Inequality to measure the length of b

The triangle inequality theorem states that:

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

On side b, we make use of:

[tex]a + c > b[/tex]

Substitute values for a ad c

[tex]1 + 2 > b[/tex]

[tex]3 > b[/tex]

The inequality is: [tex]3 > b[/tex]

Answer:

huh cant see the pic

Step-by-step explanation:

Answer:

Step-by-step explanation:

6p + 3 = 3*2*p + 3

           = 3(2p + 1)

Answer:

28

Step-by-step explanation:

good luck

Answer:

17 I think hope it is right

Answer:

$35.75

Step-by-step explanation:

.35 • 55

19.25

This is the amount off.

55-19.25

35.75

Answer:

19.25

Step-by-step explanation:

you set up a proportion x/55=35/100

you cross multiply the divide by the 100

then you subtract 19.25 from 55 which = 35.75

Answer:

The diameter is 10in

The circumference of the circle is 10 pi

The area of the circle is 25 pi in^2

(I solved a question today with this question, so I read off my paper. Hope this helps!)

Answer:

y=x+3

Step-by-step explanation:

The slope is 1 and the y-intercept is (0,3).

Answer:

y = 100+25x

Step-by-step explanation:

I hope this helps :)

Answer: its 2πr

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

sorry, i dont know

Answer:

the given amount percentage is $15, $9 and $12 respectively

Step-by-step explanation:

The percentage of the given amounts are shown below:

a. 60% of $25 = $15

b. 25% of $36 = $9

c. 10% of $120 = $12

Hence, the given amount percentage is $15, $9 and $12 respectively

Answer:

49  and 58

Step-by-step explanation:

pls brainliest

Answer:

7. 49

8. 56

Step-by-step explanation:

Answer:

N/12 -10

Step-by-step explanation:

Answer:

StartFraction n Over 12 EndFraction minus 10 (A)

Step-by-step explanation:

Answer:

9x + 15 < -12 =x<−3

Step-by-step explanation:

Step 1: Subtract 15 from both sides.

9x+15−15<−12−15

9x<−27

Step 2: Divide both sides by 9.

9x

9

<

−27

9