If f ( 1 ) = 2 f(1)=2 and f ( n ) = f ( n − 1 ) 2 − 5 f(n)=f(n−1) 2 −5 then find the value of f ( 4 ) f(4).

If F ( 1 ) = 2 F(1)=2 And F ( N ) = F ( N 1 ) 2 5 F(n)=f(n1) 2 5 Then Find The Value Of F ( 4 ) F(4).

Answers

Answer 1

[tex]f(1) = 2\\f(2)=f(2-1)^2-5=(f(1))^2-5 = 2^2-5 = -1\\f(3) = f(3-1)^2 - 5=f(2)^2-5=(-1)^2-5=-4\\f(4) = f(4-1)^2-5 = f(3)^2-5 = (-4)^2-5 = 11[/tex]

so f(4) = 11

Hope that helps!

Answer 2

Answer:

f(4) = 11

Step-by-step explanation:

Given :

base function ⇒ f(n) = f(n - 1)² - 5f(1) = 2

Solving :

f(2) = f(1)² - 5f(2) = 2² - 5 = 4 - 5 = -1

f(3) = f(2)² - 5f(3) = (-1)² - 5 = 1 - 5 = -4

f(4) = f(3)² - 5f(4) = (-4)² - 5f(4) = 16 - 5 = 11

Related Questions

Find the missing angle

Answers

Answer:

68 degrees.

Step-by-step explanation:

A right angle is 90 degrees. If you subtract 90-22 you will get 68.

90 equals the angle a plus 22.
So a equals 90-22 which is 68.
This is about 3 times the angle of 22. This make sense visually.
Mark as best!

I need help with my math homework

Answers

VW = 6

hope it helps...!!!

Find the value of x.
x
35
15

Answers

You add 35 and 15 then subtract 50 from 180 and your answer is 130.

y(2.5+7)+y-2

10.5y-2

which statement best explains why the expressions are equivalent

a the expressions have the same value for any value of y
b the expressions have the same value for only whole number values of y
c the expressions have the same value only when y is an odd number.
d the expressions have the same value only when y is an even number.

Answers

Using the equivalence concept, it is found that the correct option is given by:

a the expressions have the same value for any value of y.

What are equivalent expressions?

Two expressions are said to be equivalent if for the same input, they have the same value.

In the expressions given in this problem, the input is y, hence they have the same value for any value of y, which means that option A is correct.

More can be learned about equivalent expressions at https://brainly.com/question/2972832

Dairy Queen has been analyzing their sales and profit records. They came up
with the following equations:
A. The function below shows Profit, P, as a function of the cost of a blizzard x.
P(x) - 65(x - 4) + 1000
=
1. At what prices would Dairy Queen earn zero profit?
2. How should Dairy Queen price their blizzards to maximize profits?
3. What is their estimated maximum profit?
4. Sketch a graph and make sure to label the x and y axis.

Answers

The function P(x) = -65(x - 4)² + 1000 of Dairy queen is an illustration of quadratic functions

Dairy queen should price their blizzards at $4, and the estimated maximum profit is $1000

The price that gives zero profit

The function is given as:

P(x) = -65(x - 4)² + 1000

At zero profit, P(x) = 0

So, we have:

-65(x - 4)² + 1000 = 0

From the graph of the function (see attachment), we have:

x = 0.078 and x = 7.922

Hence, the prices that give zero profit are 0.078 and 7.922

How to maximize profits?

To maximize profit, Dairy Queen should their blizzards at a price that yields maximum profit

The estimated maximum profit

We have:

P(x) = -65(x - 4)² + 1000

A quadratic function is represented as:

P(x) = a(x - h)² + k

Where:

Vertex = (h,k)

So, we have:

h = 4 and k = 1000

Hence, Dairy queen should price their blizzards at $4, and the estimated maximum profit is $1000

Read more about quadratic functions at:

https://brainly.com/question/4820005

Have you ever seen a photo online that did not seem to have the colors right? Perhaps the colors looked unnatural or not appropriate for the subject of the photo. Describe such a photo and what you think was wrong with it in terms of color. How did this photo with poor color values make you feel about the website it was on? How important do you think getting the color right is for images online?

Write three to five sentences that answer these questions. You should thoroughly explain every statement you make in your response. If possible, include a link to the photograph you are describing.

Answers

Answer:

Yes, I have before. The colors were pretty natural, but they didn't quite fit with the actual picture. It was a street with blue vintage contrast, and it had a rotting apple core. It was wrong because blue street didn't feel that normal and was an inaccurate portrayal because it didn't fit the apple core and all. The website actually was a website with "bad" photos, so I understood. I think it is very important to accurately convey meaning, tone, and much more.

The attachment cannot be uploaded because it isn't JPEG :(

BRAINLIEST TO WHOEVER GET IT RIGHT
What are the solutions to the system of equations graphed below?
in picture below:)

Answers

Answer:

hey there!

Step-by-step explanation:

your answer should be the first one (0,4 and 2,0)

hope its help yayayayayou

I got these three exercises that I gotta do and I need help. It’s in Hebrew but it would mean a lot if someone could help!

Answers

Answer:

i dont lnow the language sorry

f(x) = –2x2 + 4x and g(x) = x2 + 18x + 77.
What is (f•g)(x) in standard form?

Answers

Step-by-step explanation:

I take it this is meant to be a multiplication, right ?

not a "function of function", which would be symbolized by a little empty circle.

to multiply 2 function means basically the same as to add, subtract or divide 2 functions : to apply the arithmetic operation in both expressions.

(f×g)(x) = (-2x² + 4x)(x² + 18x + 77) =

= -2x⁴ - 36x³ - 154x² + 4x³ + 72x² + 308x =

= -2x⁴ - 32x³ - 82x² + 308x

i don’t understand this question

Answers

Answer:

3/2

Step-by-step explanation:

To find the slope, choose two points.

For example, choose (2, 5) and (4, 8).

Now find the difference between the y-coordinates.

8 - 5 = 3

Find the difference between the x-coordinates.

4 - 2 = 2

Divide the difference in y by the difference in x. That is the slope.

slope = 3/2

answer this correctly for brainiest

12x−3<−138

Answers

Answer:

x<-11.25

Step-by-step explanation:

you treat it like its 12x-3=-138, your goal is to isolate the x. first you subtract the 3 from both sides (12x<-135) and then divide both sides by 12 giving you 11.25 on one side and x on the other.

Answer:

x < -45/4 or it can be written as ( -infinity, -45/4 )

Step-by-step explanation:

12x - 3 < -138

12x < -135

x < -45/4

or x < -11.25

what is the equation of line a

Answers

Step-by-step explanation:

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables and c is the constant term. The other different forms to find and represent the equation of a line are slope-intercept form, point-slope form, two-point form, intercept form, and normal form.

А.
8
В B.
7
D
=
CD = [?]
Enter the number that belongs in
the green box.

Answers

Answer:

8

Step-by-step explanation:

Alternate interior angles make b and d equal and A and c are equal. Because of this, ABD=CBD.

AB=CD

I WILL GIVE BRAINLIEST 50 POINTS
Find x. Round your answer to the nearest tenth of a degree.

Answers

#b

[tex]\\ \rm\rightarrowtail tan47=\dfrac{b}{21}[/tex]

[tex]\\ \rm\rightarrowtail b=21tan47[/tex]

[tex]\\ \rm\rightarrowtail b=22.5[/tex]

#c

[tex]\\ \rm\rightarrowtail cos47=\dfrac{21}{c}[/tex]

[tex]\\ \rm\rightarrowtail c=21/cos47[/tex]

[tex]\\ \rm\rightarrowtail c=30.88[/tex]

Answer:

c = 30.8 (nearest tenth)

Step-by-step explanation:

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

a = 21b = 22.5

Substitute given values into the formula and solve for c:

⇒ 21² + 22.5² = c²

⇒ 947.25 = c²

⇒ c = ±√(947.25)

⇒ c = ±30.8 (nearest tenth)

As distance is positive, c = 30.8 (nearest tenth) only

Right triangles 1,2 and 3 are given to its all their angle measures and approximate side lengths

Choose one answer:

4.5 units
5.4 units
9.1 units
10.9 units

Answers

Answer:

5.4 units

Step-by-step explanation:

From the figure ,it's clear that   sin(50) = PQ/7

Then

PQ = 7×sin(50) = 5.362311101833

Therefore the approximate length of PQ I saw 5.4

The diagram shows triangle ABC. Angel ABC is NOT an obtuse angle. Find the greatest value of x. You must show all your working. (Your final line should say ‘Greatest value of x is..’)

Answers

First, an angle in a triangle is always less than 180.

An obtuse angle is defined to be greater than a right angle, but less than 180. Since angle ABC is not an obtuse angle, its measurement must be 90 degrees or less.

Angle ABC = x + 3x + 30 = 4x + 30
Since we want x to has its greatest value, angle ABC must also have its greatest value ( -> 90)

Now, we find x : (90-30)/4 = 15

So, the greatest value of x is 15. (recheck : 15 + 15 x 3 + 30 = 90)

Suppose f (x) = x². Find the graph of
y (x+5).

Answers

Step-by-step explanation:

Suppose f (x) = x². Find the graph of

y (x+5).

Please help, I need it soon.

Answers

Answer is : 8v^3+ 14v^2+11v+3
For cubic feet

Solution

Formula : volume base area x height

So base area = 4v^2 +5v+3
Height = 2v+1


So multiply

Volume =(4v^2+5v+3) x(2v+ 1)

The rest is below



The area of a circle is 4π ft². What is the circumference, in feet? Express your answer in terms of \piπ.

Answers

Answer:

ft.

Step-by-step explanation:

Area = π r^2 = 4π =  π2^2

- so the radius  is 2 ft,

and the circumfrence = 2 π r

= 2*π*2

=  ft.

The circumference of the circle is 4π feet.

What is a circle?

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

The formula for the area A of a circle with radius r is given by:

A = πr²

We are given that the area of the circle is 4π ft², so we can set up the following equation:

4π = πr²

Dividing both sides by π, we get:

r² = 4

Taking the square root of both sides, we get:

r = 2

The circumference C of a circle with radius r is given by:

C = 2πr

Substituting r = 2, we get:

C = 2π(2) = 4π

Therefore,

The circumference of the circle is 4π feet.

Learn more about Circle here:

https://brainly.com/question/11833983

#SPJ2

State if the two triangles are congruent. If they are, state how you know.

options:

Yes, by SAS


Yes, by SSA


Yes, by AAS


No, not enough information

Answers

Answer:

its SAS because u can look at the triangle by the sides and angle

Step-by-step explanation: mark brainliset

bob leaves school and starts walking home at a speed of 3 mph. At the same time, his sister leaves their house and starts biking to school at a speed of 12 mph. how far from home is their school if they meet in 10 minutes

Answers

We will see that the distance between the home and the school is 0.5 miles.

How far from home is their school?

We know that they meet in school after 10 minutes.

So, the distance from home to school will be equal to the slowest of the speeds times 10 minutes (we assume that the faster one arrives at school earlier than in 10 minutes).

This will be:

3 miles per hour *10 minutes.

Note that the units are different, so we write 10 minutes in hours.

1 hour = 60 min.

(1/ 60) hour/min = 1.

Then:

10 min = 10 min*(1/ 60) hour/min = 0.167 hours.

Now we can find the distance to their school as:

D = 3 mi/h*0.167 h = 0.5 miles.

If you want to learn more about speed, you can read:

https://brainly.com/question/4931057

Answer:

2.5 miles

Step-by-step explanation:

big brain

John works at Klein’s Dry Cleaning. He earns $8. 45 per hour. If John worked 39 hours this week, what is his pay? *

Answers

Answer:

330.05

Step-by-step explanation:

because if you do 8.46x 39 you will get 329.65 and you have to change it because 65 is over 60 and then you change it to 330.05

Please help what is the product?

Answers

Answer: It's A bro

Step-by-step explanation: if you get the brainly app on your phone you can take pics and use that to solve it that's what I did

a fence is shown on a blueprint and has sides of length 17 cm, 18 cm, 15 cm, and 19 cm. If the scale on the blueprint is 2 cm:7 m, what is the total length of the fence? show ur work pls

Answers

Answer:

241.5

Step-by-step explanation:

First add all your numbers togather

17 + 18 + 15 + 19

= 69

THEN..

Multiply by 7

= 69 × 7

= 483

After that divide it by 2..

483 ÷ 2

= 241.5

What is the value of X in the following equation X/4 + 8 = 13

Answers

Substract 8 both sides and the multiply by the reciprocal of x/4 which is 4, so x=20

Question 22 (2 points)
Which object listed below has the greatest momentum?
A 0.05 kg object rolling at 0.2 m/s.
B 0.15 kg object rolling at 1 m/s
C 0.15 kg object rolling at 2 m/s.
D 0.4 kg object rolling at 2 m/s.

Answers

Answer:

D.

Step-by-step explanation:

Momentum(p) is Mass(m) times Velocity(v) or p = mv

The results of the calculations are attached.  0.4 kg at 2 m/s has the most momentum:  0.8 kg*m/s

HELP! Amber was asked to solve the following inequality and show all of her work. She made an error when solving.

2x − 3.5 ≥ 10.5

2x − 3.5 − 3.5 ≥ 10.5 − 3.5

2x ≥ 7

2x ≥ 7(2)

x ≥ 14

- A description of what Amber did wrong and what he should have done instead
- Your work solving the inequality

Answers

Amber did wrong at the second and third step : She completely simplify both sides but she has to minus 3.5 twice on the left side in order to do so. But instead, she just make them gone.

Work :
[tex]2x-3.5\geq 10.5 - > 2x\geq 14 - > x\geq 7[/tex]

S = 4LW + 2WH; S = 184, L = 9, W = 4.​

Answers

Step-by-step explanation:

S=4LW+2WH

160=4(9)(4)+2(4)H

160 = 144 + 8H

160- 144 = 144 - 144+8H

16 =8H

16/8H = 8H/8

H=2

The blades of a windmill turn on an axis that is 30 feet from the ground. the blades are 10 feet long and complete 2 rotations every minute. write a sine model, y = asin(bt) k, for the height (in feet) of the end of one blade as a function of time t (in seconds). assume the blade is pointing to the right when t = 0 and that the windmill turns counterclockwise at a constant rate. y = 30 sine (startfraction pi over 15 endfraction t) 10 y = 30 sine (startfraction pi over 15 endfraction t) 30 y = 10 sine (startfraction pi over 15 endfraction t) 10 y = 10 sine (startfraction pi over 15 endfraction t) 30

Answers

The sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.

What is sine function with time?

The period of a sine function is equal to the 2π and it repeats after each 2π units.

The  sine model can be given as,

[tex]y = a\sin(bt) +k[/tex]

The blades are 10 feet long and complete 2 rotations every minute. Thus the period is,

[tex]b=\dfrac{2\pi}{60}\times2\\b=\dfrac{\pi}{15}\\[/tex]

The blades of a windmill turn on an axis that is 30 feet from the ground. Thus,

[tex]k=30[/tex]

The blades are 10 feet long. Thus,

[tex]a=10[/tex]

Put these values in the above formula as,

[tex]y = 30\sin(\dfrac{\pi}{15}t) +30[/tex]

Thus, the sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.

Learn more about the sine function with time here;

https://brainly.com/question/1542636

Answer:

B

Step-by-step explanation:

The top of Mrs. Vonvilla’s coffee table has the dimensions shown. She wants to put a bumper around the edges of the table to protect her child in case he falls. What is the perimeter of the tabletop?
A coffee table has a length of 48 inches and a width of 28 inches.

Use the formula for the perimeter of a rectangle, P = 2 l + 2 w, where P is the perimeter, l is the length, and w is the width.
76 in.
152 in.
304 in.
1,344 in.

Answers

Answer:

152 inch

Step-by-step explanation:

The dimensions of tha coffee table are .

The perimeter of a rectangle is defined as , where  is the length and  is the width.

So, by given we have

If we use the formula for the perimeter of a rectangle and substitute each variable, then we would have

The perimeter of the coffee table is 152 inches.

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