All categories

3 years ago

If f(z)=m^z - n^z, and f(1)=2, f(2)=8. Find f(3).

1 answer:

3 0

If f(z)=m^z - n^z and f(1)=2, f(2)=8
then
m - n = 2 so m = n + 2
m^2 - n^2 = 8

substitute m = n + 2 into m^2 - n^2 = 8

so
m^2 - n^2 = 8
(n + 2)^2 - n^2 = 8
n^2 + 4n + 4 - n^2 = 8
4n = 4
n = 1

m = n + 2 = 1 + 2 = 3

so f(z) = 3^z - 1^z

if z = 1 the f(1) = 3^1 - 1^1 = 2
if z = 2 the f(2) = 3^2 - 1^2 = 9 - 1 = 8
if z = 3 the f(3) = 3^3 - 1^2 = 27 - 1 = 26

answer
f(3) = 26

You might be interested in

Carolyn Mills does maintenance work at a golf course. She worked these hours last season: April, 150; in each of the next four m

GalinKa [24]

Answer:

$11,025

Step-by-step explanation:

April: 150hrs

May-August: 200hrs x 4 = 800 hrs

September: 100 hrs

$10.50/hr pay rate

150+800+100 = $1,050

$1,050 x $10.50 = $11,025

*Gross pay is the amount of money made before tax

8 0

3 years ago

Please help___________

kramer

Answer:

Step-by-step explanation:

Let's do the obvious things first.

Right rectangle

w = 11

L = 17

Formula

Area = L * W

Area = 11 * 17

Area = 187

Left rectangle

W = 8

L = 11

Area = 8 * 11= 88

Middle Rectangle

W = 11

L = 15

Area = 11 * 15 165

Now we come to the triangles. It's not obvious what to do with them. You have to infer that one of the lets is 8 and the other is 15. You get the 8 from the width of the left rectangle (see above.)

There are 2 triangles

Area = 2 * 1/2 * l1 * l2

Leg 1 = 8

Leg2 = 15

Area = 2 * 1/2 (8 * 15)

Area = 120

Total = 120 + 165 + 88 + 187 = 560

Unless you have an E answer that is 560, my answer does not agree with any of the given answers. I would suggest that you ask your teacher how it is done. My method is correct.

4 0

2 years ago

Please help me solve this

Tema [17]

Answer:

Step-by-step explanation:

I think it is she sped up and passed susana since it shows it in the graph.

5 0

3 years ago

Working independently, Tina can do a certain job in 12 hours. Working independently, Ann can do the same job in 9 hours. If Tina

Leona [35]

Answer:

Ann would need 3 h to complete the remainder of the Job.

Step-by-step explanation:

Step 1.

The "speed" that each girl has to do the work is determined as:

Tina: $\frac{1}{12h}$ , it means that Tina complete one twelveth of the job each hour.
Ann: $\frac{1}{8h}$ , it means the Ann completes one eighth of the job each hour.

Step 2.

The amount of work done by Tina in 9 hours, is obtain multiplying by the "speed" calculated in step 1:

Amount of work done= $8 h*\frac{1}{12h} = \frac{2}{3}$ . It means that Tina completes two thirds of the work in 9 h.

Step 3.

The remaining job is calculated as $1-\frac{2}{3}=\frac{1}{3}$ . It means that still remains is one third of the job to be completed.

Step 4.

The time required for Ann to complete the job is calculated dividing the remaining of the job by the "speed" of Ann to do the job.

$\frac{\frac{1}{3}}{\frac{1}{9h}}=3h$ . It means that Ann would complete the job in another 3 hours.

3 0

3 years ago

Suppose the price of admission to the state fair is $9.50, and each ride costs an additional $2.25.

alexandr402 [8]

Answer:

Step-by-step explanation:

You need to multiply the variable by how much each ride costs.

3 0

3 years ago