Mike read 1/4 of the newspaper in 1/3 of an

Enter an equation for the function that includes the points.Give your answer in a(b)x. In the event that a=1 , give your answer

Andrews [41]

Answer:

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

Step-by-step explanation:

Given

$(x_1,y_1) = (2,\frac{2}{3})$

$(x_2,y_2) = (3,\frac{5}{9})$

Required

Write the equation of the function $f(x) = ab^x$

Express the function as:

$y = ab^x$

In: $(x_1,y_1) = (2,\frac{2}{3})$

$y = ab^x$

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

In $(x_2,y_2) = (3,\frac{5}{9})$

$y = ab^x$

$\frac{5}{9} = a * b^3$ --- (2)

Divide (2) by (1)

$\frac{5}{9}/\frac{2}{3} = \frac{a*b^3}{a*b^2}$

$\frac{5}{9}/\frac{2}{3} = b$

$\frac{5}{9}*\frac{3}{2} = b$

$\frac{5}{3}*\frac{1}{2} = b$

$\frac{5}{6} = b$

$b = \frac{5}{6}$

Substitute 5/6 for b in (1)

$\frac{2}{3} = a * b^2$

$\frac{2}{3} = a * \frac{5}{6}^2$

$\frac{2}{3} = a * \frac{25}{36}$

$a = \frac{2}{3} * \frac{36}{25}$

$a = \frac{2}{1} * \frac{12}{25}$

$a = \frac{24}{25}$

The function: $f(x) = ab^x$

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

7 0

2 years ago

Which of the following proportions is false? 10/25 = 40/100 24/30 = 20/25 18/48 = 20/50 25/45 = 75/135

Liono4ka [1.6K]

Answer:

18/48=20/50 is wrong

Step-by-step explanation:

Because 18/48=37.5% and 20/50=40%

Hope it helps

3 0

1 year ago

Based on the given segment lengths, determine whether the segments can form a triangle.

murzikaleks [220]

For 3 sides to form a triangle two sides added together need to be greater then the 3rd side. You need to check all 3 combinations:

1. 11.5 + 10.5 = 22, 22> 6.1

11.5 + 6.1 = 17.6 17.6 > 10.5

10.5 + 6.1 = 16.6, 16.6 > 11.5

This one can make a triangle.

2. 9.5 + 3.5 > 4.5

9.5 + 4.5 > 3.5

4.5 + 3.5 < 9.5

Cannot make a triangle.

3. 8 + 6.7 > 1

6.7 + 1 < 8

Cannot make a triangle.

4. Can make a triangle

5. Can

6. Can

4 0

2 years ago

How many 1 x 2 shelfs cleats 8" long can be cut from a 1 x 2 board 16' long? how much is left?

inn [45]

8 i think so it might

8 0

2 years ago

I REALLY NEED HELP!

Snowcat [4.5K]

Answer:

B

Step-by-step explanation:

The compound interest formula is $A = P (1+r/n)^nt$ where:

P is the starting amount called the principle
r is the rat written as a decimal
n is the number of times compounded in a year
t is the number of years

Substitute a value into each variable to solve.

P = $147 since 10% of 1,470 is being invested which makes P = 0.10(1470) = 147.

The rate is 3.5% or r = 0.035.
n = 12 because it is compounded monthly meaning 12 times a year.
t = 25 since it will earn for 25 years.

$A = P (1+r/n)^{nt}\\A = 147(1 + \frac{0.035}{12})^{12*25}\\A = 147 ( 1 + 0.002916)^{300}\\A = 147(1.002916)^{300}\\A = 352.19$

Repeat this process for each formula.

5 0

3 years ago