Diego planted a 8 inch tall magical beanstalk. The height of the beanstalk increases by 16% each day. Write a function ff that determines the height of the beanstalk in inches in terms of the number of days tt since Diego planted the beanstalk f(t)=f(1)/f(0)=f(2)/f(1)=f(5.28)/f( 4.28)=For any value of x, what is the value of f(x+1)/f(x)?

The expression for the height of the plant is: f(x) = 8*(1.16)^x;

The value of f(x+1)/f(x) is 1.16.

Step-by-step explanation:

Since Diego's beanstalk grows at an exponential rate of 16% per day, then the expression that represents the height of the plant, "f", in function of days, "x", can be found as shown below:

Initially the height of the plant was:

After the first day however it was:

f(1) = 8*(1 + \frac{16}{100}) = 8*(1.16)

While after the second day:

f(2) = f(1)*(1.16) = 8*(1.16)*(1.16) = 8*(1.16)²

And so on, therefore the expression is:

f(x) = 8*(1.16)^x

The value of f(x + 1)/f(x) is:

[8*(1.16)^(x + 1)]/[8*(1.16)^x]

[8*(1.16)*(1.16)^(x)]/[8*(1.16)^x] = 1.16

answer: 40.95

step-by-step explanation:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3