Identify the recursive formula for the following sequence:

1/2, 1 1/2, 3 1/2, 7 1/2...

Answer:

f^-1(x) = {4,3), (3,4), (6,-2)}

Step-by-step explanation:

To find the inverse of the function, exchange the x and the y

f(x) = {(3, 4), (4, 3), (-2, 6)}

f^-1(x) = {4,3), (3,4), (6,-2)}

Answer:

13

Step-by-step explanation:

the quadratic formula will be used to solve the equation x²-3x-1=0

x = -b±√b²-4ac

          2a

b= -3, a= 1, c= -1

x =   --3±√3²-4*1*-1

             2*1

x =  3±√9+4

          2

x =  3±√13

         2

x₁ = 3 + √13

        2

x₂ = 3 - √13

          2

x₁² + x₂² - 2x₁x₂

22 + 6√13 + 22 - 6√13   + 2

     4                    4

22 + 6√13 + 22 - 6√13 + 8   = 52/4 =13

        4

Answer:

Step-by-step explanation:

Put the coordinates of the points to the equation, and check it:

(-4, -1) → x= -4, y = -1

L = -5(-4) - 3(-1) =20 + 3 = 23

R = 22

L ≠ R

(-1, -4) → x= -1, y = -4

L = -5(-1) - 3(-4) = 5 + 12 = 17

R = 22

L ≠ R

(-2, -4) → x= -2, y = -4

L = -5(-2) - 3(-4) = 10 + 12 = 22

R = 22

L = R    CORRECT :)

(-4, -2) → x = -4, y = -2

L = -5(-4) - 3(-2) = 20 + 6 = 26

R = 22

L ≠ R

Answer:

a:36

Step-by-step explanation: because (2+1) is in parentheses, you solve that first. 2+1=3 and 3x12=36

hope this helps!

Answer:

36

Step-by-step explanation:

This is beause 2+1 is 3 and 3 muliplied by 12 is 36 which is A

Answer:

W = 7.5 in

Step-by-step explanation:

We'll use the formula for the perimeter of a rectangle:  P = 2W + 2L.

Here, L = W + 5, so P = 2W + 2L becomes:

P = 2W + 2(W + 5), and this equals 40 in.

Thus we have the equation in W (the desired variable) as follows:

2W + 2(W + 5) = 40 in, or 4W + 10 = 40.

Then 4W = 30, and W = 7.5 in.

Based on the perimeter of this rectangle, the width is 7.5 inches.

The perimeter of a rectangle is calculated by:

= Length + Width + Length + Width

Assuming the width is denoted by x, the length would be:

Length = 5 + Width

Length = 5 + x

The perimeter is given so we can solve for the width:

Length + Width + Length + Width  = Perimeter

5 + x + x + 5 + x + x = 40

10 + 4x = 40

4x = 40 - 10

x = 30/4

x = 7.5 inches

In conclusion, the width is 7.5 inches.

Find out more at https://brainly.com/question/20500387.

Answer:

H

Step-by-step explanation:

6 times 6 is 36

252/36 is seven which is h

The length of height of the box is 7 inches.

A quadrilateral is a shape with four sides, four vertices, and four angles that is only two dimensional. Convex and concave are the two main forms. Convex quadrilaterals can also be divided into a number of subgroups, including trapezoids, parallelograms, rectangles, rhombus, and squares.

Given that,

Length of box = 6 in.

Width of box   = 6 in.

Volume of box = 252 square in.

Since the length and width of box are same,

Therefore its shape is cuboid.

We know that volume of cuboid = length x width x height

Therefore,

Height of the box = volume/(length x width)

                             = 252/(6x6)

                             = 7 in.

Hence, the required height = 7in.

To learn more about quadrilaterals visit:

https://brainly.com/question/11037270

#SPJ2

D, because everything in front of the x is the slope and everything after the x is the y- intercept

Answer:

The correct answer is (D) slope=-3 and y-intercept=-2

Step-by-step explanation:

Answer:

{-2, -14, -26, -50}

Step-by-step explanation:

The range of the function is the function evaluated at each point of the given domain. So to find the range of the function we need to find the value of the function for each point in the domain:

- For x = -8

[tex]f(x)=-2x-18[/tex]

[tex]f(-8)=-2(-8)-18[/tex]

[tex]f(-8)=16-18[/tex]

[tex]f(-8)=-2[/tex]

The first value of the range of the function is -2

- For x = -2

[tex]f(x)=-2x-18[/tex]

[tex]f(-2)=-2(-2)-18[/tex]

[tex]f(-2)=4-18[/tex]

[tex]f(-2)=-14[/tex]

The second value of the range is -14

- For x = 4

[tex]f(x)=-2x-18[/tex]

[tex]f(4)=-2(4)-18[/tex]

[tex]f(4)=-8-18[/tex]

[tex]f(4)=-26[/tex]

Th third values of the range is -26

- For x = 16

[tex]f(x)=-2x-18[/tex]

[tex]f(16)=-2(16)-18[/tex]

[tex]f(16)=-32-18[/tex]

[tex]f(16)=-50[/tex]

The fourth and last value of the range is -50

Now we can put all the values of the range together

The range of the function is {-2, -14, -26, -50}

Answer: option c

Step-by-step explanation:

You need to use this formula:

[tex]A=\frac{h}{2}(B+b)[/tex]

Where "h" is the height of the trapezoid, "B" is the larger base and "b" is the smaller base.

You know that:

[tex]B=16.8yd\\b=6.9yd\\h=2yd[/tex]

Then you need to substitute these values into the formula  [tex]A=\frac{h}{2}(B+b)[/tex].

Therefore, the area of this trapezoid is:

 [tex]A=\frac{2yd}{2}(16.8yd+6.9yd)[/tex]

 [tex]A=23.7yd^2[/tex]

Answer:

23.7 yd2

Step-by-step explanation:

The answer is $0.60.

Calculate the mean of the first week

Calculate the mean of the second week

Subtract the mean for the first from the mean of the second week.

answer-

he should mix 16lbs of the 7.80 mix and 8lbs of the 11.40 mix

Step-by-step explanation:

hope this helps:) btw im a student at rsm and i got this for homework so ya. your welcome also, ik the answers wrong ...s i g h...

Answer:

The merchant should mix 53.33 pounds of cheaper cacao and 26.67 pounds of costlier cacao.

Step-by-step explanation:

A merchant wants to blend 80 pounds of cacao worth $9.00 a pound from two kinds: one at $11.40 a pound and the other at $7.80 a pound.

Let the number of pounds of cheaper cacao be x

Let the number of pounds of costlier cacao be y

The merchant wants total pounds = 80

So, first equation becomes:

[tex]x+y=80[/tex] or [tex]x=80-y[/tex]

Now values of per pounds become [tex]7.80x[/tex] and [tex]11.40y[/tex]

As the merchant wants the mixture worth $9 so second equation becomes:

[tex]7.80x+11.40y=9(80)[/tex]

=> [tex]7.80x+11.40y=720[/tex]

Substituting [tex]x=80-y[/tex] in second equation, we get

[tex]7.80(80-y)+11.40y=720[/tex]

=> [tex]624-7.80y+11.40y=720[/tex]

=> [tex]3.60y=96[/tex]

[tex]y=26.67[/tex] pounds

We know, [tex]x=80-y[/tex]

=> [tex]x=53.33[/tex] pounds

So, The merchant should mix 53.33 pounds of cheaper cacao and 26.67 pounds of costlier cacao.

We can check this:

[tex]53.33(7.80)+26.67(11.40)=720.012[/tex] dollars

It should be 44ft high

For this case we have that the height of the stack of sheets is given by the number of sheets multiplied by the thickness of each. That is to say:

[tex]\frac {3} {16} * 14 = \frac {14 * 3} {16} = \frac {42} {16} = \frac {21} {8} = 2.625[/tex]

Thus, the height of the stack is 2,625 inches

Answer:

2.625 inches

Answer:

f(1/3) = 1

Step-by-step explanation:

Given

f(n)=3n

We have to find f(1/3).

In order to find the value of the given function at a point, we put the value in the function where the variable is used.  

i.e. to find f(2) for f(x); x will be replaced by 2 in the function. Similarly to find f(1/3), we will replace n by 1/3 in the function.

So to find  

f(1/3)=3*  1/3

=1

So, the value of f(1/3) is 1 ..

ANSWER

C)

[tex]y = {x}^{2} [/tex]

EXPLANATION

A linear function is a function whose graph is a straight line.

The graph of y=x is a straight line.

The graph of y=3x -7 is also a straight line.

The graph of y=x² is a parabola.

This graph is not a straight line .

It is a non-linear function.

y=3 and y=13 are also straight lines.

The correct choice is C.

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y=x^2-4&(1)\\y=-2x-5&(2)\end{array}\right\\\\\text{Put (1) to (2):}\\\\x^2-4=-2x-5\qquad\text{add}\ 2x\ \text{and 5 to both sides}\\\\x^2+2x+1=0\\\\x^2+x+x+1=0\\\\x(x+1)+1(x+1)=0\\\\(x+1)(x+1)=0\\\\(x+1)^2=0\iff x+1=0\qquad\text{subtract 1 from both sides}\\\\x=-1\\\\\text{put the value of}\ x\ \text{to}\ (2):\\\\y=-2(-1)-5\\\\y=2-5\\\\y=-3[/tex]

Answer: Hello there!

The system of equation given is:

y = x^2-4

y = -2x-5

And we want to solve this system:

the first step we can do is replace y in the first equation by the given in the second equation:

y = x^2-4 = -2x - 5

now we can solve it for x:

x^2-4 +2x + 5 = 0

x^2 +2x + 1 = 0

and now we can use the cuadratic equation forumla:

this is, if we have a function of the form:

ax^2 + bx + c = 0

the solutions are:

[tex]x = \frac{-b +/- \sqrt{b^2 -4ac} }{2a}[/tex]

in our equation we have a=1, b = 2 and c= 1

we replace it in the formula given, and we obtain:

[tex]x = \frac{-2 +/- \sqrt{2^2 -4*(1)} }{2} = \frac{-2 +/- \sqrt{4 - 4} }{2} = -2/2 = -1[/tex]

Now we got the value of x, and we could replace it in one of the equations and get the value of y:

y = -2x-5

y = -2*(-1) - 5 = 2 -5 = -3

then the pair is (-1, -3)

and the correct option is D.

Answer:

x=1, y=-1

Step-by-step explanation:

i hope im right sorry if im not >.<

D. x < -2

(Divide 4 by -2 to isolate x)

-4 is the slope........

Answer:

4

Step-by-step explanation:

To find slope, we will rewrite this equation into slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept,

- 4x + y = -1

+ 4x         +4x

y= -1 + 4x

y=4x - 1

Density should be the answer

Answer:

Density

Step-by-step explanation:

Density is the mass of a substance per unit volume. Volume is the amount of space an object occupies.

I'm not going to give you the answer but I'll help you.

Step-by-step explanation:

Start by writing down your thoughts down and then form them into a paragraph.

- Write down your opinion of what classic is

- Give 3 traits/characteristics that makes that thing classic (high-quality, timeless, aged, eternal, original etc.)

- Then write down whether or not you think your definition of classic is different from the googled definition

Answer:0.063

Step-by-step explanation:

All I did was multiply 6.3 by 0.01 and I got 0.063.

Answer:

w/5 ≥ 25

Step-by-step explanation:

Quotient means division

w/5

is at least means great than or equal to

w/5 ≥ 25

ANSWER

See below

EXPLANATION

The given functions are:

[tex]g(x) = {x}^{2} [/tex]

and

[tex]h(x) = - {x}^{2} [/tex]

The following statements are true;

h(x) is the reflection of g(x) in the x-axis.

g(x) opens upwards while h(x) opens downwards

Both functions have their vertex and intercepts at the origin.

The x-axis is a tangent to both functions at x=0.

g(x) has a minimum point

h(x) has a maximum point.

Answer:

For any value of x, g(x) will always be greater than h(x).

For any value of x, h(x) will always be greater than g(x).

g(x) > h(x) for x = -1. TRUE

g(x) < h(x) for x = 3.

For positive values of x, g(x) > h(x). TRUE

For negative values of x, g(x) > h(x). TRUE

Step-by-step explanation:

answer on edge

Answer: 132

Step-by-step explanation:

There are three different things to choose from: size, flavors, and toppings

3 kinds of sizes x 11 kinds of flavors x 4 kinds of toppings

= 3x11x4

= 12x11

= 132

Answer:

[tex](x-1)^{2} + (y-2)^{2}[/tex][tex]=9[/tex]

Step-by-step explanation:

The equation of a circle is [tex](x-h)^{2} +(y-k)^{2} = r^{2}[/tex] in which (h,k) is the center of the circle and r is the radius of the circle. (x,y) can represent any point on the circle but when the equation is written standardly, it is left as (x,y).

Because (1,2) is (h,k) it will be inputted as:

[tex](x-1)^{2} + (y-2)^{2}[/tex]

The radius is 3 but in the equation it must be squared.

3 x 3 is 9, so the full equation is:

[tex](x-1)^{2} + (y-2)^{2}[/tex][tex]=9[/tex]

Answer:

(x-1)^2+(y+2)^2=9

Step-by-step explanation:

Answer:

f(x) = x + 4

Step-by-step explanation:

Given

y - x - 4 = 0 ( add x to both sides )

y - 4 = x ( add 4 to both sides )

y = x + 4 ( let y = f(x) )

f(x) = x + 4

Answer:

i think its A if it isnt im sorry

Step-by-step explanation:

Answer:

The second option :: V = [tex](25-2x)(20-2x)x[/tex] is correct.

Step-by-step explanation:

The vertical side was 25 inches before cutting out the corners.  

The horizontal side was 20 inches before cutting out the corners.

So now, if you fold all of the corner up, you get a box that has a height of "x".  

The sides are now missing a length of x from each end.  

So the longer edges of the box are now [tex](25-2x)[/tex] inches

The shorter edges of the box are now [tex](20-2x)[/tex] inches

The volume of a box is given by V = length x width x height

So, here the volume becomes:

V = [tex](25-2x)(20-2x)x[/tex] cubic inches.

Answer:

Craig earns $1,200 each month

Explanation:

We are given that Craig pays a total of $720 each year for his telephone service

We also know that a year has 12 months

This means that:

Craig pays [tex]\frac{720}{12}= 60[/tex] dollars each month for his telephone services

We are given that the monthly phone bill is [tex]\frac{1}{20}[/tex] of his monthly earnings

Assume that his monthly payment is x

We have:

[tex]\frac{1}{20}x = PhoneBill\\ \\ \frac{1}{20}x = 60\\ \\   x=60*20 = 1200[/tex] dollars

Hope this helps :)

Craig earns about $1200 each month and pays a total of $720 each year for his telephone service.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount earned each month

Hence:

(1/20)x * 12 months = 720

x = 1200

Craig earns about $1200 each month and pays a total of $720 each year for his telephone service.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ5

Answer:

[tex]a.\ 54ft^3\\b.\ 5yd^3\\c.\ 11,943,936in^3\\d.\ 162ft^3[/tex]

Step-by-step explanation:

a. Remember that:

[tex]1yd^3=27ft^3[/tex]

Then, 2  cubic yards to cubic feet is:

[tex](2yd^3)(\frac{27ft^3}{1yd^3})=54ft^3[/tex]

b. 135 cubic feet to cubic yards is:

[tex](135ft^3)(\frac{1yd^3}{27ft^3})=5yd^3[/tex]

c. Remember that:

[tex]1ft^3=1,728in^3[/tex]

Then, 6,912 cubic feet to cubic inches:

[tex](6,912ft^3)(\frac{1,728in^3}{1ft^3})=11,943,936in^3[/tex]

d. 279,936 cubic inches to cubic feet is:

 [tex](279,936in^3)(\frac{ft^3}{1,728in^3})=162ft^3[/tex]

Answer:

A 54ft3

B 5yd3

C 11,943,936in3

D 162ft3

Step-by-step explanation: