Pre-calculus and Functions

Using the special triangles from Lesson 5.2, sketch two angles in the Cartesian plane that have

Using the special triangles from Lesson 5.2, sketch two angles in the Cartesian plane that have

This question was also confusing as well, and does it matter what special triangle you're using?
Using the special triangles from Lesson 5.2, sketch two angles in the Cartesian plane that have the same value for each given trigonometric rat

emilyliv   788   9 Replies

slayqueenyassss

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   1761   27 Replies

Sridhar Ramsagar

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   576   1 Reply

ksnts

Ratio and Ratios

Ratio and Ratios

2. In 2018, J&H Limited's total overhead of $300,000 was allocated as follows: 25% to Auto
Manufacturing, 40% to Broad Retailing, and the remainder to Construction. What is the ratio of
the overhead in Auto Manufacturin

Bishal Dahal   70   1 Reply

dianeflunder

3d triangle question

3d triangle question

Ron is expressing his love for Hermione who is standing on a
platform. Her other love Krum is off to the side, seeking her
hand in marriage. Hermione looks down to Ron at an angle of
20° and looks down to Krum at an angle of 18°. If Kr

S.v   186   9 Replies

S.v

Dolphin/Penguin sinusoidal question

Dolphin/Penguin sinusoidal question

A dolphin is diving in and out of the water in the shape of a sinusoidal graph. It reaches a maximum height of 4 ft above the surface of water 10 seconds after timing and a maximum depth of 8 ft below the surface after 20 seconds. At the same time, a

S.v   99   3 Replies

bio_man

Solving Trig equation

Solving Trig equation

Solve 2 cos(2^x) − 1 = 0 on the interval 0 ≤ 𝑥 ≤ 9, accurate to 4 decimal places. Verify your solutions.

S.v   84   5 Replies

bio_man

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   1162   10 Replies

Gabriel310

An engineer is designing a parabolic arch

An engineer is designing a parabolic arch

An engineer is designing a parabolic arch. the arch must be 15 m high and 6 m wide at a height of 8 m. Determine a quadratic function that satisfies these conditions. Can someone tell me how I'm supposed to find the equation?

S.v   153   3 Replies

bio_man

Determine the value of k such that x^2+4x-kx+9=0 has no solutions

Determine the value of k such that x^2+4x-kx+9=0 has no solutions

The question is: Determine the value of k such that x^2+4x-kx+9=0 has no solutions. Can someone tell me what I am supposed to do? I believe that I am supposed to find the discriminant. The answer to the actual question is supposed to be -2<k<10

S.v   155   8 Replies

S.v

A daredevil jumps off the CN Tower and falls freely... question 10 math textbook gr11

A daredevil jumps off the CN Tower and falls freely... question 10 math textbook gr11

The question is: A daredevil jumps off the CN Tower and falls freely for several seconds before
releasing his parachute. His height, in metres, t seconds after jumping
can be modelled by
-4.9t^2+t+360
-4t+142
How long after j

S.v   134   2 Replies

S.v

Solve: F(x)=3x+1+1/x+1

Solve: F(x)=3x+1+1/x+1

Hey people, I was just wondering how I would solve this function: \(f\left(x\right)=3x-1+\frac{1}{x+1}\). I found the answer online and the steps, but the first step that it says to do is to multiply everything by (x+1), and I've

S.v   138   4 Replies

bio_man

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   394   4 Replies

Jayden Alvarez

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   192   8 Replies

Rellias Minn

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.

12

s.h_math   524   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   373   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   245   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   417   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   230   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   236   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   223   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   213   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   213   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   224   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   647   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   263   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   243   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   362   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   236   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   245   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   207   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   240   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   250   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   215   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   211   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   446   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   229   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   211   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   234   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   297   3 Replies

bio_man