Pre-calculus and Functions

Answer the following short answer, please show your steps and include the formulas used

Answer the following short answer, please show your steps and include the formulas used

Simon has a Wayne Gretzky rookie hockey card. He bought it in 2000 for $500 on e-Bay. He estimates that it will appreciate in value by 7% each year. The dealer told him the function V(t) 5 500(1 1 0.07)t can be used to estimate the card’s future valu

helping is kind   450   9 Replies

helping is kind

If sin β = 6/10 and sin α = -14/19, 0 < β < pi/2, 3pi/2 < α < 2pi,

If sin β = 6/10 and sin α = -14/19, 0 < β < pi/2, 3pi/2 < α < 2pi,

determine sin (β -  α).

marinejas   207   9 Replies

bio_man

Given the values of sin θ, determine the values of θ over the interval [0, 2pi]

Given the values of sin θ, determine the values of θ over the interval [0, 2pi]

a) -1/2 b) 1/√2

marinejas   301   9 Replies

bio_man

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   814   9 Replies

slayqueenyassss

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   1178   10 Replies

Gabriel310

Sketch a graph of the function h(x), by hand on the following interval:

Sketch a graph of the function h(x), by hand on the following interval:

A doctor constructed a timeline of the last 18 months. They mapped regions based on the intensity of a patient’s symptoms and found that there was a cyclical pattern. When graphed as a function of intensity, it turned out to be similar to f(x)=sin

chibi   273   10 Replies

chibi

Determine exact value of tan2x,sin2x, and cos2x

Determine exact value of tan2x,sin2x, and cos2x

if cscx= -17/15 and pi<x<3pi/2

marinejas   250   10 Replies

marinejas

Compound Angle Formulas

Compound Angle Formulas

Hi, so sorry for the very long question! Thought it was best to include it all at the same time, since they are all related
1. Determine the exact value of the following:
a) cos 75 degrees         b) sin 5pi/12

marinejas   190   10 Replies

marinejas

What is the common difference or ratio for the following sequence

What is the common difference or ratio for the following sequence

what is the common difference or ratio for the following sequence..
5x + y, 4x + 3y, 3x + 5y, 2x + 7y...

emilyliv   175   10 Replies

emilyliv

Determine the equation for each sinusoidal function. ii)

Determine the equation for each sinusoidal function. ii)

determine the equation for each sinusoidal function. ii)

emilyliv   244   10 Replies

bio_man

Prove each identity. State any restrictions on the variables.

Prove each identity. State any restrictions on the variables.

b) sin^2a-cos^2a-tan^a = 2sin^2a - 2sin^4a - 1/1-sin^2a

emilyliv   297   10 Replies

bio_man

The population of a city has continued to grow since 1950.

The population of a city has continued to grow since 1950.

The population of a city has continued to grow since 1950. The
population P, in thousands, and the time t, in years, since 1950 are
given in the table below and in the graph.
a) Calculate the average rate of change in population for th

marinejas   220   11 Replies

bio_man

Sound intensity log question

Sound intensity log question

The sound intensity of a jet engine is 140dB. A space-shuttle launch has a sound intensity of 18-dB.  How many more times intense is the space shuttle launch than the jet engine? recall  the following L=10log(I/Io) (bottom exponent).

marinejas   370   11 Replies

bio_man

Graphs of Primary Trigonometric Ratios

Graphs of Primary Trigonometric Ratios

Hi! Just wanted to check my answer for my homework worksheets involving graphing of primary trigonometric ratios. Thanks

marinejas   309   11 Replies

marinejas

For each of the following values of cos θ, determine the radian value of θ if pi ≤ θ ≤ 2pi

For each of the following values of cos θ, determine the radian value of θ if pi ≤ θ ≤ 2pi

Hi! sorry for coming back to this section again, but I have another question similar to this, so the question is "For each of the following values of cos θ, determine the radian value of θ if pi ≤ θ ≤ 2pi". I got

marinejas   393   11 Replies

marinejas

The terminal arm of an angle in standard position passes through each of the following points.

The terminal arm of an angle in standard position passes through each of the following points.

Find the radian value of the angle in the interval [0, 2pi], to the nearest hundredth,
a) (3,11)
b) (5, -3)

marinejas   168   11 Replies

bio_man

Determine the exact value of each trig ratio. Confirm your answer using your calculator

Determine the exact value of each trig ratio. Confirm your answer using your calculator

a) cos (π/2)
b) sin (5π/3)
c) csc (11π/6)

marinejas   258   11 Replies

bio_man

Prove each identity. State any restrictions on the variables.

Prove each identity. State any restrictions on the variables.

12. a) sin^2θ +2cosθ-1/sin^2θ+3cosθ-3

emilyliv   219   11 Replies

bio_man

How to find the phase shift from a graph?

How to find the phase shift from a graph?

For one of my questions I'm supposed to determine a sine equation and cosine equation for the following graph, I believe I've found the amplitude and the period but had difficulty with finding the phase shift, how would you do that exactly?

marinejas   213   12 Replies

bio_man

State the transformations on the function f(x)= 4sin(x-pi)-2 and then graph two cycles below.

State the transformations on the function f(x)= 4sin(x-pi)-2 and then graph two cycles below.

Using a table of values must be used in this case.

marinejas   380   12 Replies

marinejas

Recall the following graph f(x)=x+2 and f(x)=1/x+2.

Recall the following graph f(x)=x+2 and f(x)=1/x+2.

Please Help
1. f(x) is positive when (-2, ∞) and negative when (-∞, -2). I don't get how they got infinity, -2 from, etc.
another example
2. f(x) is positive when (-2, ∞) and negative when (-∞, -2) and its domain and range, vertic

marinejas   179   12 Replies

marinejas

Simplify the following expressions:

Simplify the following expressions:

a) (3xy^-2)^-2
b) (4a^-2)(-2a^-3)
c) 2k^-4 ÷ 4k^-6
d) (2x^2y)^-2 (3xy)^-1 / (6x^2y^2)^-2
e) (100xy)^1/2 (25x^3y^2)^-1/2

marinejas   219   13 Replies

bio_man

Simplify the following expression

Simplify the following expression

2 tan x / 1 - tan^2 x

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marinejas   420   15 Replies

bio_man

For each function f(x) = 6x^2 - 4, estimate the instantaneous rate of change for the given values

For each function f(x) = 6x^2 - 4, estimate the instantaneous rate of change for the given values

of x.
a) x = -2 b) x = 0 c) x = 4 d) x = 8

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marinejas   349   16 Replies

marinejas

Sketch the graph of each function using transformations. State the domain and range.

Sketch the graph of each function using transformations. State the domain and range.

a) f(x) = 3 log10(bottom exponent) x + 3
e) k(x) = 4 log10(bottom exponent) (1/6x) - 2
f) r(x) = log10(bottom exponent) (-2x -4)
Hi so I had some trouble creating a chart with these 3 different equations, the other video that you sugge

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marinejas   339   16 Replies

marinejas

How to find the possible equations of a graph?

How to find the possible equations of a graph?

What would be the possible equations for this graph and why/how?

12

marinejas   276   16 Replies

bio_man

Consider f(x) = -2x^2 + 3x - 1 c) Graph f^-1 (x) for y ≥ 0.75.

Consider f(x) = -2x^2 + 3x - 1 c) Graph f^-1 (x) for y ≥ 0.75.

l

12

emilyliv   172   16 Replies

bio_man

Graph the function by hand & label key points on graph:

Graph the function by hand & label key points on graph:

1. f(x)=-x^5+11x^4-43x^3+69x^2-36x
• state domain & range
• Mark points on the graph (At the first turning point, At the only root with order two)

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chibi   417   17 Replies

bio_man

Equivalent Trig Expressions

Equivalent Trig Expressions

1. Write an expression that it equivalent to each of the following expressions using cofunction identities.
a) cos pi/16    b) tan 9pi/10

2. Write an expression that is equivalent to each of the following expressions, using

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marinejas   622   19 Replies

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   542   22 Replies

s.h_math

Finding the equation for a sinusoidal function. (word type problem)

Finding the equation for a sinusoidal function. (word type problem)

For one of the questions, I have to make up a question on my own using the idea of a sinusoidal equation. I did a ferris wheel that is 212 feet tall and a diameter of 203 feet, and rotates every 5 min. I'm not sure if the equation I did is corre

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emilyliv   449   25 Replies

bio_man

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

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emilyliv   1781   27 Replies

Sridhar Ramsagar