MATHEMATICS HIGH SCHOOL

If a sequence is defined recursively by f(0)=2 and f(n+1)=-2f(n)+3 for n is greater than or equal to 0, then f(2) is equal to...?

Answers

Answer 1
Answer:

We start with f(0) = 2, we can use this value to find out the next value f(1) in our relation.

 f(1) = -2 f(0)+3 = -2(2) + 3 =- 4 +3 =-1 Now we know f(1) we can work out f(2):

f(2) = -2 f(1)+3 = -2( -1)+3 = 2 +3 = 5.

So f(2) = 5

Related Questions

Q + 67 = q+68what is q?
Convert the angle 13°38'35\" to decimal degrees and round to the nearest hundredth of a degree..
What fraction of a full turn is 1 degree
If the cross section shown is congruent to the base of the rectangular prism above, what is true about the crosssection?
4(x - 7) = 2 can you please help me..

Wich integer represents sea level

Answers

Answer:

Step-by-step explanation:

The sea level is always indicated by zero. The above sea level is indicated with a positive integer. The below sea level is indicated with a negative integer

1. (k+7)² =2892. (2s-1)² =225
3. (x-4)² =169

please help me answer these :)

Answers

1. \ \ \ (k+7)^2 =289\n\n\Leftrightarrow\ \ \ k+7= √(289) \ \ \ or\ \ \ \ k+7=- √(289)\n\nk=17-7=10\ \ \ \ \ \ \ or\ \ \ \ k=-17-7=-24 \n\n2.\ \ \ (2s-1)^2 =225\n\n\Leftrightarrow\ \ \ 2s-1= √(225) \ \ \ or\ \ \ \ 2s-1=- √(225)\n\n2s=15+1\ \ \ \ \ \ \ or\ \ \ \ 2s=-15+1\n2s=16\ \ \ \ \ \ \ \ \ \ \ \ or\ \ \ \ 2s=-14\ns=8\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ or\ \ \ \ s=-7 \n\n

3.\ \ \ (x-4)^2 =169\n\n\Leftrightarrow\ \ \ x-4= √(169) \ \ \ or\ \ \ \ x-4=- √(169)\n\nx=13+4=17\ \ \ \ \ \ \ or\ \ \ \ x=-13+4=-9
(k+7)^2 =289\n |k+7|=17\n k+7=17\vee k+7=-17\n k=10 \vee k=-24

(2s-1)^2 =225\n |2s-1|=15\n 2s-1=15\vee 2s-1=-15\n 2s=16 \vee 2s=-14\n s=8 \vee s=-7

(x-4)^2 =169\n |x-4|=13\n x-4=13 \vee x-4=-13\n x=17 \vee x=-9

Help to answer 2 & 3 Pablo and Jasmine had just started studying systems of linear equations in algebra. They looked at Pedro's drawing and said, "We could write that as a system of equations." Let t be the price of each taco and d be the price of each drink. - Write an equation that represents the cost of Pablo's order. (6T + 2D = 9) - Write an equation that represents the cost of Jasmine's order. (4T + 2D = 7) 2. What operations with the equations from part (1) match your way of using Pedro's sketch to find the prices t and d? 3. Why do the operations make sense?

Answers

Answer:

Step-by-step explanation:

The equation for Pablo's order is given as 6T+2D=9 or 6T+2D-9=0

While the equation for Jasmine's order is given as 4T+2D=7 or 4T+2D-7=0

Subtracting Jasmine's equation from Pablo's

6T+2D-9-(4T+2D-7)=0

This gives us

6T+2D-9-4T-2D+7=0

The reduces to

2T-2=0

Dividing all through by 2 gives

T-1=0

Therefore

T=1

Substituting the value for T into any of the equations of either Pablo and Jasmine

Using Pablo's

6T+2D=9

6(1)+2D=9

2D=9-6

2D=3

There D= 3/2

There are 25 students in Mrs. Venetozzi’s class at the beginning of the school year, and the average number of siblings for each student is 3. A new student with 8 siblings joins the class in November. What is the new class average for number of siblings? Round your answer to the nearest hundredth.

Answers

It is 25/3 which gives you 8.3 but let's say it is 8. So 8 students have 3 siblings and 9 have 2-0 siblings and 8 have 4-any number higher siblings. So if that kid joins there would be an avg of 3.63 siblings so 3.63 is the answer.

the length of a rectangular yard is 30 meters. the perimeter is at most 90 meters. describe the width of the yard

Answers

its been a while since iv done this but i think it is 2700

Jill bought a lamp for $40. She sold it at a garage sale for $12. What was the approximate decrease?

Answers

Answer:

she was left with 28$ I'm in high school i think I'm right

Step-by-step explanation:
Other Questions
Paula bought a ski jacket on sale for 6 less than half its original price. She paid 88 for the jacket. what was the original price?
Find the circumference and area of each circle. PLEASE HELP!
Is 3 liters per 60 seconds a unit rate
Which is one of the transformations applied to the graph of f(x) = x2 to produce the graph of p(x) = –50 + 14x – x2? A.a shift down 1 unit B.a shift left 7 units C.a shift right 1 unit D.a shift up 7 units