Please help!!!!

If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).

Answers

Answer 1

Answer:

The value of f(3) is -2.

Step-by-step explanation:

This is a recursive function. So

[tex]f(1) = 2[/tex]

Now, we find f(2) in function of f(1). So

[tex]f(1+1) = f(1)^2 - 3[/tex]

[tex]f(2) = f(1)^2 - 3 = 2^2 - 3 = 1[/tex]

Now, with f(2), we can find the value of f(3).

[tex]f(2+1) = f(2)^2 - 3[/tex]

[tex]f(3) = f(2)^2 - 3 = 1^2 - 3 = -2[/tex]

The value of f(3) is -2.


Related Questions

Simplify: 299.081+59.26-95.32-365.195

Answers

-102.174. Just plugged into a calculator

r=26 in. find the diameter.

Answers

Answer:

see

Step-by-step explanation:

diameter=2×pi×r

diameter. 2.22/7.r

Heidi earns $11.50 per hour plus a bonus of $105 for the week. Her goal is to earn $650 for the week. Which equation
represents the number of hours, h, Heidi will have to work to reach her goal?

Answers

Answer:

48 hours

Step-by-step explanation:

$650 - $105 = $545

$545 ÷ $11.50 = 47.39 = 48 hours (Rounded)

Carrie is 36 years old. She has worked in the same store for 12 years. Today, she had 63 customers. How old was Carrie when she began working in the store?
A. 24
B. 27
C. 48
D. 51

Answers

Answer:

A. 24

Step-by-step explanation:

A. 24
36-12=24
This is the final answer for this question.

Select the inequality below that could have 7 as a solution.


21x ≥ 7


12+ x > 15


14x 28

Answers

14x 28
There both multiples of 7

SOLVE: 3x+4y = 18 and -2x+4y = 8

Answers

Answer:

1, if solved for x = 6 - 4y/3 & y = 9/2 - 3x/4

2, x = -4 + 2y & y = 2 + x/2

Step-by-step explanation:

is a set that is contained in a larger set.

Answers

Answer:

I- What? yes?

Step-by-step explanation:

can you help me out I’ll mark brain list .

Answers

Answer:

Linear-

nonlinear

Linear

Step-by-step explanation:

the first one is nonlinear
the second one is linear
the third one is linear



just re-covered this in advanced algebra II :)


hope this helps

Find the value of X please hurry

Answers

Answer:

x=23

Step-by-step explanation:

90-65=25

25-2=23=x

The final margin of an NFL football game is approximately normally distributed, with a mean equal to the gambling point spread and a standard deviation of 14 points. Recall the great 2008 Super Bowl in which the Giants upset the Patriots. The Patriots had been favored by 12 points. What does that fact imply about the Giants' initial (i.e., pre-game) chances of winning

Answers

Answer:

The Giants had 0.1949 = 19.49% probability of winning initially.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean equal to the gambling point spread and a standard deviation of 14 points. The Patriots had been favored by 12 points.

This means that [tex]\mu = 12, \sigma = 14[/tex]

What does that fact imply about the Giants' initial (i.e., pre-game) chances of winning

P(X > 0): Probability of Patriots winning.

P(X < 0): Probability of Giants winning.

So we want to find P(X < 0), which is the pvalue of Z when X = 0. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - 12}{14}[/tex]

[tex]Z = -0.86[/tex]

[tex]Z = -0.86[/tex] has a pvalue of 0.1949

The Giants had 0.1949 = 19.49% probability of winning initially.

Help please !!
The table below represents a linear function. What is the slope of the graph of this function? input X: -2, -1, 0, 1, 2. output Y: -3, -1, 1, 3, 5

Answers

The answer should be B) 1/2

Answer:

2

Step-by-step explanation:

Rise/ run

y/x

Once you graph the ordered pairs you will have

(-2,-3) (-1,-1) etc...

it will work out to be up two over one 2/1 which equals two

Four brothers each bough two hot dogs and a bag of chips at the football concession stand if the bag of chips was $1.25 and the total was $18.20 what was the price of one hot dog

Answers

Answer:

$1.65

Step-by-step explanation:

1.25 x 4 = 5.00

18.20 - 5.00 = 13.20

13.20 / 8 = 1.65

they bought 8 hotdogs because there is 4 brothers and each ate 2 so 4 x 2 = 8

Sarah leans a 20 ft ladder against
the side of her house so that the
base of the ladder is 14 ft from the
house ABOUT how far up the side
of the house does the ladder reach?

Answers

Answer:

(a) 14

this is what i got

Which equation represents a parabola?
O 4x2 – 2x + 3y2– y + 1 = 0
O x2 + x - 2y2 – 4y + 2 = 0
0 -3x + 4y2 – 2y + 6 = 0
O 2x2 + y2 – 4y + 6 = 0

Answers

Answer:

C on edge

Step-by-step explanation:

Only equation of the 4 that makes a parabola

Equation 0 -3x + 4y2 – 2y + 6 = 0 represents the Parabola.

What is a Parabola?

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point and a line.

Finding the suitable equation:

It is symmetric about the y-axis, which is an axis of symmetry.

So,

Equation 0 -3x + 4y2 – 2y + 6 = 0 represents the Parabola.

Learn more about Parabola:

https://brainly.com/question/4148030

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Could I get some help?


Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,542 was collected on the
sale of 1,158 tickets. How many of each type of ticket were sold?
The basketball game sold
adult tickets and
student tickets.

Answers

Answer:

#adult tickets sold = 346

#student tickets sold = 812

Step-by-step explanation:

let 'x' = # adult tickets sold

let 'y' = # students tickets sold

System of Equations:

x + y = 1158

5x + y = 2542

I used the elimination method and multiplied the first equation by -1

  -x - y = -1158

+ 5x + y = 2542

  4x  =  1384

   x = 346

346 + y = 1158

y = 812

What is the value of z in the equation 2 (4z − 9 − 11) = 166 − 46? (1 point)
A. 15
B. 20
C. 30
D. 35

Answers

Answer:

B. 20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Please Help I Need To Answer This Quick!!....

Answers

Answer:

A+B+C=180°( BY SUM OF ALL ANGLE IS 180°)

70°+40°+C=180°

110°+C=180°

C=180°-110°

C=70°

C+X=180°(BY LINEAR PAIR)

70°+X=180°

X=180°-110°

X=70°

4x + 10 > 54 how do I solve this

Answers

Answer:

4x + 10 >54

-10. -10

4x> 44

/4. /4

x= 11

4(11) +10 >54

44+10.>54

54>54

the answer is false since they're both equal

Plz guys help me plz

Answers

Answer:

B

Step-by-step explanation:

✔️Rate of change using two points on the line, say (2, 60) and (3, 75);

Rate of change (m) = ∆y\/∆x = (75 - 60) / (3 - 2) = 15/1

Rate of change = 15

This means each class costs $15

✔️Initial value is the y-intercept (b). It represents the initial start-up fee.

To find initial value/y-intercept (b), substitute m = 15 and (x, y) = (2, 60) into y = mx + b.

Thus:

60 = 15(2) + b

60 = 30 + b

60 - 30 = b

30 = b

b = 30

Therefore, initial start-up fee is $30.

rate mi and.my bestie when we were little im the one without the doll

Answers

Answer:

Cuties! 10/10 ❤

Step-by-step explanation:

Have a good rest of your day! :)

4y/2x evaluate the expression when x=4 and y= -6​

Answers

AnswerJust plug in x=-3, y=2 and z=-1 and simplify to get 2%28-3%29-%284%282%29-3%29%2B5%28-3%29%28-1%29=-6-%288-3%29%2B15=-6-5%2B15=4. So 2x-%284y-3%29%2B5xz=4 when x=-3, y=2 and z=-1

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Plug in 4 as x and -6 as y

4y/2x

4(-6) / 2(4)

-24 / 8

= -3

So, the expression is equal to -3

What is Max’s final number of his number if his starting number is 7?

Answers

Answer:

30

Step-by-step explanation:

(n+8)=2(7+8)=2(15)=30

Answer:

30

Step-by-step explanation:

The inspection division of the Lee County Weights and Measures Department is interested in estimating the actual amount of soft drink that is placed in 2-liter bottles at the local bottling plant of a large nationally known soft-drink company. A random sample of 64 bottles obtained from this bottling plant indicated a sample average and standard deviation of 2.99 and .06 liters repectively. Set up a 98% confidence interval estimate of the true average amount of soft drink in each bottle.

Answers

Answer:

The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 64 - 1 = 63

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.387

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.387\frac{0.06}{\sqrt{64}} = 0.02[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 2.99 - 0.02 = 2.97 liters

The upper end of the interval is the sample mean added to M. So it is 2.99 + 0.02 = 3.01 liters

The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.

In the figure shown what is the value of x?

Answers

Answer:

23 is the right answer hope it's helps you

The value of x from the given congruent triangles is 23 units.

In the figure ΔABC and ΔDEF are given.

What is the congruence theorem?

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Consider, ΔABC and ΔDEF, we have

AB=DE (Given)

∠BAC=∠EDF (Given)

AC=DF (Given)

So, ΔABC ≅ ΔDEF

We know that, by CPCT

BC=FE

⇒ x-4=19

⇒ x=23 units

Therefore, the value of x from the given congruent triangles is 23 units.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

#SPJ5

square root of -20

someone please help

Answers

Answer:

I think its either 5 or 4 one of the 2

HELP ASAP! I need help with 11 and 12 please!! Thank you!

Answers

Answer:

Q11 part 4 is the correct option

Q12 part 4 is also the correct option

б – 3 = 3 + 6
Solving for the variable

Answers

Answer:

Step-by-step explanation:

Um well the variable would be 12

Answer:

The answer is 12

Step-by-step explanation:

Solve for  it by simplifying both sides of the equation, then isolating the variable.

Hoped this helped!

Brainly, please?

If the square root of 16 = x, then x2 =

Answers

Answer:

8

Step-by-step explanation:

16=x

16 square root is 4

16=4

x2

(4)2= 8

Answer:

x2 or 2x=8

Step-by-step explanation:

the square root of 16 is 4

since the other term is 2*x you plug-in numbers and get 2*4=8

Subtract.

78.9−5.64 Pls help

Answers

Answer:

73.26

Step-by-step explanation:

I hope this helps :)

Answer:

73.26 is your answer.

Step-by-step explanation:

4 out of the 8 balloons in a bunch are red.

What is the probability that a randomly selected balloon will be red?

Answers

The probability of a balloon to be selected red is 1/2 or 50% probability

Answer:

There is a 50/50 chance that there would be a red balloon selected. If you need the decimal version, .50

or, in fraction form

1/2

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