Pre-calculus and Functions

A circular pizza has a radius of x cm.

A circular pizza has a radius of x cm.

a) Write an expression for the area of the pizza.
b) Write a simplified expression for the area of a pizza with a radius that is 3cm more.
c) How much greater is the second area? Write the difference as a simplified expression.

P

Jacklyn02   310   4 Replies

Jayden Alvarez

A meat department manager discovers that she can sell m(x) kilograms of ground beef in a week, where ...

A meat department manager discovers that she can sell m(x) kilograms of ground beef in a week, where ...

A meat department manager discovers that she can sell m(x) kilograms of ground beef in a week, where m(x) = 14700 - 3040x, if she sells it at x dollars per kilogram. She pays her supplier $3.21/kg for the beef.
a) Determine an algebraic express

12

emilyliv   1268   18 Replies

Saanvi Manchala

An antique painting is purchased in 1980 for $995. The value increases by 3.1% e

An antique painting is purchased in 1980 for $995. The value increases by 3.1% e

An antique painting is purchased in 1980 for $995. The value increases by 3.1% every

a) Write an equation that models the value of the painting after t years. Include the general form of the function. 
b) Determine the increase

helping is kind   991   8 Replies

jdjnwjnaq

Finding the graph of a Parabola using certain values

Finding the graph of a Parabola using certain values

A parabola has an altitude of 4 units. Express the length of its base as a function
of its area. Graph the function.

Rellias Minn   113   8 Replies

Rellias Minn

Points of Intersection Between a Line and Parabola

Points of Intersection Between a Line and Parabola

\(y=-2x+4\)

\(y=3x^2+x-6\)

Solution:

[img width=350 height=408]https://biology-forums.com/gallery/45

bio_man   391   N/A

bio_man

Calculus homework

Calculus homework

Hi there, I just started calculus and I'm having trouble with these particular questions, my teacher has a hard time teaching and doesn't really care about online students, so it has been really hard teaching myself.

https://ibb.

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s.h_math   455   22 Replies

s.h_math

Synthetically Divide: (2x^3+x^2-22x+20)/(2x-3)

Synthetically Divide: (2x^3+x^2-22x+20)/(2x-3)

Divide by synthetic division: \((2x^3+x^2-22x+20)\div (2x-3)\)


Begin by solving for \(x\) in the divisor:

\(2x-3=0\)

[math=inline]\displaystyle x=

bio_man   291   N/A

bio_man

Solve the quartic: x^4-3x^3+x^2-3x+0=0

Solve the quartic: x^4-3x^3+x^2-3x+0=0

\(x^4-3x^3+x^2-3x+0=0\)

*Note: Remember to always common factor if a constant doesn't exist - as in this case.

Solution:

[url=https://biology-forums.com/index.php?action=gallery;sa=view&

bio_man   210   N/A

bio_man

Hyperbola, parabola, ellipse

Hyperbola, parabola, ellipse

Two LORAN (long range navigation) stations A and B are situated along a straight shore, where A is 200 miles west of B. These stations transmit radio signals at a speed 186 miles per millisecond. The captain of a ship travelling on the open sea inten

trisha chan   325   3 Replies

Malou Andoque

Composition of Functions

Composition of Functions

f(x)=x^4+8
g(x)=x-2
h(x)=sqrt(x)

f*g*h(x)

km43sd   182   1 Reply

bio_man

Math question

Math question

what's the equation of a function that opens down, stretched vertical by a factor of 5, translated 2 units left and 3 downwards

Jacklyn02   192   1 Reply

bio_man

How do you write an equation of a parabola that opens up, is vertically stretched by a factor of 3 ...

How do you write an equation of a parabola that opens up, is vertically stretched by a factor of 3 ...

how do you write an equation of a parabola that opens up, is vertically stretched by a factor of 3 and is moved 3 units right and 1 unit down?

Jacklyn02   177   1 Reply

bio_man

The selling price of shoes and revenue, R(s) is shown by the function R(s)= -10s^2 +800s + 120. what ...

The selling price of shoes and revenue, R(s) is shown by the function R(s)= -10s^2 +800s + 120. what ...

the selling price of shoes and revenue, R(s) is shown by the function R(s)= -10s^2 +800s + 120. what does R(20) =12,120 mean?

Jacklyn02   176   1 Reply

bio_man

Sketch the graph of the reciprocal function

Sketch the graph of the reciprocal function

accurately sketch the graph of the equation y= 4/x+1      + 5 using transformation (includes steps such as identifying the parameters, describing parameters,mapping notation, image points

hsedward   170   1 Reply

bio_man

Combination or permutations

Combination or permutations

Determine the number of 4 -letter arrangements that can be formed with the letters of the name HILBERT. Each letter can be used only once and the arrangement must have the following: a) contain only consonants b) begin and end with a consonant c) beg

hsedward   180   1 Reply

bio_man

A company that sells sweatshirts finds that the profit can be modelled by P(s)= -0.30s^2+3.5s+11.15

A company that sells sweatshirts finds that the profit can be modelled by P(s)= -0.30s^2+3.5s+11.15

A company that sells sweatshirts finds that the profit can be modelled by P(s)= -0.30s^2+3.5s+11.15, where P(s) is the profit, in thousands of dollars, and s is the number of sweatshirts sold (expressed in thousands).
a) Calculate the average ra

marinejas   571   3 Replies

bio_man

Algebraically determine the x intercept of the exponential function

Algebraically determine the x intercept of the exponential function

algebraically  determine the x intercept of the exponential function f(x)=2(3)^(x-4) -16 in the form of log a + b log c / log d

hsedward   201   1 Reply

bio_man

Use a graphical method to find the length of the loan to the nearest year

Use a graphical method to find the length of the loan to the nearest year

A student borrows $5000 at 5% per year compounded semi-annually. The loan is paid off in one final payment of $5798. Use a graphical method to find the length of the loan to the nearest year

hsedward   191   1 Reply

bio_man

Under ideal conditions, a single cell of the bacterium E. coli would divide every 20 minutes to doub

Under ideal conditions, a single cell of the bacterium E. coli would divide every 20 minutes to doub

Under ideal conditions, a single cell of the bacterium E. coli would divide every 20 minutes to double its population .

a) Starting with one cell, determine the time it takes for the culture to grow to 1024 bacteria, to the nearest minute

hsedward   283   2 Replies

bio_man

Exponential and log function

Exponential and log function

exponential and log function

In the year 1990, a town has an initial population of 2200 people. However, each year the population decreases by 10%.

 a) What will the population be in the year 2020

b) In how many year

hsedward   182   1 Reply

bio_man

Find the value exponential and log function

Find the value exponential and log function

When the expression 16 (8) ^ (x - 1) is converted to base 2, the exponent is

If 4 ^(2x-7) = 1/64, what is the value of sqrt x

hsedward   196   1 Reply

bio_man

Which is an expression for the range

Which is an expression for the range

an expression for the range of y=acos sqrd (theta-4.93)-8 where a>0 is?
a) {y|-a ≤y ≤a,yER}
b) {y|  8-a ≤y ≤8+a,yER
c) {y|- 8-a ≤y ≤8a,yER
d){y | - 8-a ≤y ≤8+a,yER

hsedward   163   1 Reply

bio_man

The value of to the nearest hundredth of a radian, is?

The value of to the nearest hundredth of a radian, is?

A point has the coordinates (0.4161,-0.9093). If the terminal arm of theta is in standard position passes through P, the value of to the nearest hundredth of a radian, is?

hsedward   186   1 Reply

bio_man

What is the value of cos θ, rounded to the nearest tenth.

What is the value of cos θ, rounded to the nearest tenth.

using identity substitution, the equation acos squared (pi/8)- asin squared(pi/8) =4sqrt2 can be simplified to acos θ = 4sqrt2. what is the value of cos θ, rounded to the nearest tenth.

hsedward   199   2 Replies

bio_man

What is the value in degrees

What is the value in degrees

the general solution to the nearest degree, for the equation 3tan theta-2 = 0 can be written as theta = p+q (n), n ∈ I, the value of q in degrees is?

hsedward   166   1 Reply

bio_man

What is the value of cot θ?

What is the value of cot θ?

if sin θ = -5/6 and tan θ>0, then what is the value of cot θ ?

hsedward   167   1 Reply

bio_man

Determine the sinusoidal equation that relates to the height of the surfboard

Determine the sinusoidal equation that relates to the height of the surfboard

a person is lying on a surfboard on the surface of the ocean. the surfboard is initially two meters above the ocean floor. 4 seconds later the surfboard is at its maximum height of 10 meters above ocean floor

see photo attached for questio

hsedward   383   5 Replies

bio_man

What is the value of each side

What is the value of each side

when the identity 1 - sin θ cos θ tan θ= cos squared θ is verified for θ=pi/3, the value of each side is?

a. 1/4.  b1/2 c.sqrt3/2 d.3/4

hsedward   177   1 Reply

bio_man

Algebraically determine the value of sin (A-B)

Algebraically determine the value of sin (A-B)

if sin A =3/5 and cos B= 5/12, where A and B are in the first quadrant , algebraically determine the value of sin (A-B)

hsedward   166   1 Reply

bio_man

Solve the equation algebraically

Solve the equation algebraically

solve the equation algebraically 5 tan  squared θ - 1 = 0, where 0 ≤ θ ≤2 pi, to the nearest tenth of a radian

hsedward   180   1 Reply

bio_man

If P(x,- 3/7) on the unit circle,x can be written as ± r sqrt s / t , r is ≠ 1. The value of s is

If P(x,- 3/7) on the unit circle,x can be written as ± r sqrt s / t , r is ≠ 1. The value of s is

If P(x,- 3/7) on the unit circle,x can be written as ± r sqrt s / t , r is ≠ 1. The value of s is

hsedward   241   3 Replies

bio_man

The height of your the rope after 1 minute to the nearest tenth of a meter is?

The height of your the rope after 1 minute to the nearest tenth of a meter is?

a girl jumps rope such that the height h, in meters, of the middle of the rope can be approximated by the equation h=0.7sin(72t +9) + 0.75, where t is the time in seconds . The height of your the rope after 1 minute to the nearest tenth of a meter is

hsedward   181   1 Reply

bio_man

What is the value of m?

What is the value of m?

If cosA= 0 and sun B = √2/2, where A,B [0, pi/2] , the value of cscB -cot A can be written as √m in simplified form. What is the value of m?

hsedward   205   3 Replies

bio_man

The exact value of sec theta + tan theta is?

The exact value of sec theta + tan theta is?

the point (10,-24) lies on the terminal arm of an angle theta in standard position. The exact value of sec theta + tan theta is?

a. 5 b.10/24 c.26/10 d.1/5

hsedward   170   1 Reply

bio_man

The horizontal phase shift of the resultant graph is

The horizontal phase shift of the resultant graph is

when the graph of y=sin theta has been transformed according to the directions y=sin(1/6x   + pi/2), the horizontal phase shift of the resultant graph is _ units to the left

hsedward   178   1 Reply

bio_man

Solving graphically

Solving graphically

When solved graphically, the equation 3sin^2 x - 2sin x = 1 in the domain - 360 degrees ≤ x < 360 degrees has how many solutions ?
a.8 b.4 c.3 d.6

hsedward   179   1 Reply

bio_man

The value of the θ

The value of the θ

the value of the θ in the domain  0 ≤ θ ≤pi satisfies the eq sqrt3cot θ+1 = 0?

a) pi/6    b)5pi/6    c)pi/3    d)2pi/3

hsedward   156   1 Reply

bio_man

If P(θ) = (√3 /2, -1/ 2), determine the coordinates of P (θ + 90 °) using the unit circle

If P(θ) = (√3 /2, -1/ 2), determine the coordinates of P (θ + 90 °) using the unit circle

If P(θ) = (√3 /2, -1/ 2), determine the coordinates of P (θ + 90 °) using the unit circle

hsedward   238   3 Replies

bio_man

Algebraically solve the equation sec^2 θ-2=0 such that -π ≤ θ ≤ π

Algebraically solve the equation sec^2 θ-2=0 such that -π ≤ θ ≤ π

algebraically solve the equation sec^2 θ-2=0 such that -π ≤ θ ≤ π

hsedward   212   2 Replies

bio_man

Algebraically determine the general solution, in degrees, of the equation below.

Algebraically determine the general solution, in degrees, of the equation below.

algebraically determine the general solution, in degrees, of the equation below.
Hint: there are three solutions that can be written using one general solution.
(sin x+1)(2sin x -1)= 0

hsedward   201   1 Reply

bio_man