Pre-calculus and Functions

Find all points of intersection of the graphs of and .

Find all points of intersection of the graphs of and .

please see the attachments

ccnnieeee   135   1 Reply

bio_man

Trigonometric equations

Trigonometric equations

Hello ..
How do you do this trig. equation problem ?
1. csc^2xsin2x=csc^2-2cot^2x
2. 2sinxcosx=secx
TIA..

Deckz   205   2 Replies

duddy

Solve the following for x.

Solve the following for x.

1. a) logv3(3x+2)=3
What I did:
=3x + 2 = 3^3
= 3x+2 -2 = 27 -2
= 3x/3 = 25/3
= x = 8.3 Is this correct?
b) Mainly just needed help with b, 5^x-3 = 2^3x

marinejas   156   2 Replies

marinejas

List transformations and Create a table of values for the following log function:

List transformations and Create a table of values for the following log function:

the function f(x)=logx has been transformed into the function h(x)=-1/3log(2x+4)-3
1. List the transformations.
I wrote a vertical stretch by a factor of -1/3, horizontal compression of 2, reflection in the x-axis, horizontal translation 4

marinejas   195   2 Replies

marinejas

Use a compound angle formulas to evaluate the following:

Use a compound angle formulas to evaluate the following:

a) sin 3pi/8cos pi/8 + cos 3pi/8 sin pi/8    b) sin 50 degrees cos 20 degrees - cos 50 degrees sin 20 degrees

marinejas   185   2 Replies

marinejas

Trigonometric Function Question

Trigonometric Function Question

1. If the base is 5 cm long and the acute angle at the base is pi/6 radians, what is the exact area of a right triangle?

marinejas   241   2 Replies

marinejas

Prove the following identity:

Prove the following identity:

b) 2csc2xtanx/secx = secx

marinejas   148   2 Replies

marinejas

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   258   2 Replies

bio_man

Sketch a graph of the inverse of each exponential function.

Sketch a graph of the inverse of each exponential function.

1. a) f(x) = 4^x
    b) f(x) = (1/3)^x

marinejas   189   2 Replies

marinejas

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   260   2 Replies

bio_man

Solving logarithmic equations

Solving logarithmic equations

8^3x+1 = 64^2x

Mathguy3000   154   2 Replies

Madresa

Use the appropriate compound angle formula to determine the exact value of each expression.

Use the appropriate compound angle formula to determine the exact value of each expression.

The tan is a lot easier since its easy to calculate or solve all together
a) sin (pi + pi/6)
What I did so far,
sin (a+b) = sinacosb + cosasinb
sin (pi + pi/6) = sin pi cos pi/6 + cos pi sin pi/6
        &

marinejas   128   2 Replies

marinejas

What does implicit and explicit mean? And can someone solve these for me and explain them?

What does implicit and explicit mean? And can someone solve these for me and explain them?

What does implicit and explicit mean? Also can you help me use these terms to solve these following questions?
1) y= 5x-8
2)3x^2+2y^2=0

Mathguy3000   167   2 Replies

bio_man

Math Thinking Problem

Math Thinking Problem

a line plotted on the cartesian plane has a slope of -1 and passes through the origin.
a) ..what are the possible exact values of the principle angle on the interval [0,2pi]?
b) what are the possible exact values of cos𝜃𝜃 o

marinejas   196   2 Replies

marinejas

Determine all values where sinx = cosx for -360° ≤ x ≤ 360.

Determine all values where sinx = cosx for -360° ≤ x ≤ 360.

Determine all values where sinx = cosx for -360° ≤ x ≤ 360.

emilyliv   149   2 Replies

emilyliv

Samuel has two 4-sided dice. The sides of each die have the numbers 1, 2, 3 and 4. Because the dice

Samuel has two 4-sided dice. The sides of each die have the numbers 1, 2, 3 and 4. Because the dice

Samuel has two 4-sided dice. The sides of each die have the numbers 1, 2, 3 and 4. Because the dice and pyramid shaped, when Samuel rolls the dice, each lands with three faces showing and one face down.
If Samuel rolls his dice, the proba

ohemati   1332   2 Replies

bio_man

Using exponent laws to simplify expressions

Using exponent laws to simplify expressions

I'm having a hard time with these, any help would be appreciated

Simplify using the laws of exponents:

a) (x^(p−1) y^2)/(x^(p+4) y^(1−p) )
   
b) ((5a^3)/(25b^3 a^(m−1) )÷a^(n+1)/a^(m+n) )×b^n/a^(m−1)
   
c

chementhusiast   217   2 Replies

chementhusiast

Simplify. Express answers in rational form with positive exponents.

Simplify. Express answers in rational form with positive exponents.

I was having trouble solving this question, and also do you have any tips for solving these types of questions, like for example what to start first, I usually get confused on how to start it off.

emilyliv   114   2 Replies

emilyliv

Suppose that under continuous compounding of interest, the ef

Suppose that under continuous compounding of interest, the ef

Question Part
Points
Submissions Used
Suppose that under continuous compounding of interest, the effective rate is 7% per annum. Compute the nominal rate. (Round your answer to two decimal places.)

Mujunyu520   204   2 Replies

Mujunyu520

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   372   2 Replies

bio_man

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   142   2 Replies

S.v

Determine the general term for the following sequence: 9,17,25,33,...and use it to determine t9

Determine the general term for the following sequence: 9,17,25,33,...and use it to determine t9

determine the general term for the following sequence: 9,17,25,33,...and use it to determine t9

emilyliv   172   3 Replies

bio_man

When providing the following identity which of the following is not a valid step:

When providing the following identity which of the following is not a valid step:

cos^2 x = cscx cosx/tan x + cot x

Here are the options

emilyliv   158   3 Replies

bio_man

Jim is riding a Ferris Wheel,where t time in seconds. Explain what each of the following represent

Jim is riding a Ferris Wheel,where t time in seconds. Explain what each of the following represent

a) h(10), where h(t) = 5cos(18t)°
b) h(10), where h(t) = 5sin(18t)°

emilyliv   138   3 Replies

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   275   3 Replies

bio_man

The graph of y = sqrt(x) is vertically stretched by a factor

The graph of y = sqrt(x) is vertically stretched by a factor

1. The  graph of y = sqrt(x) is vertically stretched by a factor of 2 about the x-axis, then reflected about the y-axis, and then horizontally translated left 3. What is the equation of the transformed function?

2. The graph of the fu

hsedward   288   3 Replies

bio_man

Prove each identity.

Prove each identity.

1 - cos^2θ/1 - sin^2θ = tan^2θ
My textbook doesn't have the solution for this question and I want to make sure that I'm correct, what would be the answer to this question?

emilyliv   177   3 Replies

bio_man

Determine the values of (theta symbol) for cos(theta symbol) = 0.9205 when 0</ (theta symbol) ...

Determine the values of (theta symbol) for cos(theta symbol) = 0.9205 when 0</ (theta symbol) ...

Determine the values of (theta symbol) for cos(theta symbol) = 0.9205 when 0</ (theta symbol) </ 360.

emilyliv   147   3 Replies

bio_man

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   158   3 Replies

bio_man

Answer only please. No need solution . Thank you and Godbless

Answer only please. No need solution . Thank you and Godbless

[url=https://biology-forums.com/index.php?action=ga

Acer Matthew Asistio   167   3 Replies

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   658   3 Replies

bio_man

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   104   3 Replies

bio_man

Find rules for quadratic equation, given an x-intercept, y-intercept and the y value of the vertex

Find rules for quadratic equation, given an x-intercept, y-intercept and the y value of the vertex

Find two quadratic functions f and g such that f (1) = 0, g(1) = 0 and f (0) = 10, g(0) = 10 and both have a maximum value of 18.

Below are the answers to this question presented in the textbook I'm working off, but I'm getting l

diskwad3   125   3 Replies

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   251   3 Replies

bio_man

Write equation for each function y = k +atrig(b(x-h))

Write equation for each function y = k +atrig(b(x-h))

amplitude  is -4/3  translation 2/3 phase shift pie/3 period 3 and the function is cosine


amplitude is  -1 translation -3 phase shift -pie/4 period 2 and the function sine

whill40   119   3 Replies

duddy

reducing the index of radicals

reducing the index of radicals

How would I reduce the index of radicals here? I already have an answer but I'm not sure if it's correct. Please help me. Thank you so much.

1.) Fourth root of 81x^6
2.) Sixth root of 729x^2

Jessa   151   3 Replies

JamIYOU

What is 1 difference and 1 similarity that circle with a radius of 4m and a circle with a radius

What is 1 difference and 1 similarity that circle with a radius of 4m and a circle with a radius

of 13m would have

marinejas   150   3 Replies

bio_man

Solve the following equations

Solve the following equations

a) 2sin x + 1 = 0,0 ≤ x ≤ 2pi
b) 3(tan x + 1) = 2,0 ≤ x ≤ 360
c) 2sinxcosx = cos2x, 0 ≤ x ≤ 2pi
d) sin2x = 1/√2, 0 ≤ x ≤ 2pi

marinejas   141   3 Replies

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   422   3 Replies

Malou Andoque

A quadratic function is defined by f(x) = 3x^2 + 4x - 2. A linear function is defined by g(x) = mx - ...

A quadratic function is defined by f(x) = 3x^2 + 4x - 2. A linear function is defined by g(x) = mx - ...

A quadratic function is defined by f(x) = 3x^2 + 4x - 2. A linear function is defined by g(x) = mx - 5. What values of the slope of the line would make it a tangent to the parabola?

emilyliv   114   3 Replies

bio_man