Pre-calculus and Functions

Factor by grouping examples

Factor by grouping examples

#9:   \(x^2+y^2+2xy-4\)

Rearrange

\(x^2+2xy+y^2-4\)

Factor the first three terms as your would a quadratic trinomial by trial and error [math=inline

Durham_College   150   N/A

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Durham_College

Sketching Cubic Function (Help needed!)

Sketching Cubic Function (Help needed!)

The function f(x) is a cubic function given by:

\(f\left(x\right)=-\left(x-2\right)^3\)

a) Factor f(x)
b) Find all zeros of f(x) and their multiplicity
c) Find the domain and range of f(x)

Us

Clement   21   1 Reply

getdh

Could some explain to me how inequalities with absolutes are solved?

Could some explain to me how inequalities with absolutes are solved?

We have an assignment and I'm completely lost. I think my teacher's to blame. Any tutorial headed my way will help tremendously

FullGrownMateus   25   1 Reply

bio_man

Using the Pythagorean identity, when it applies?

Using the Pythagorean identity, when it applies?

I know:

\(\sin ^2x+\cos ^2x=1\)

but what about:

\(\sin ^23x+\cos ^23x=1\)

bio_man   20   1 Reply

bio_man

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   39   2 Replies

bio_man

Simplify Help

Simplify Help

\(\left[4\sqrt{x}^2-1\right]\cdot 2\sqrt{x}\)

Distribute the 2 to the two terms inside the brackets

\(4\sqrt{x}^2\cdot 2\sqrt{x}-2\sqrt{x}\)

\(8x\sqrt{x}-2\sqrt{x}\)

bio_man   39   N/A

bio_man

To find the limit of a function with two variables by epsilon delta method

To find the limit of a function with two variables by epsilon delta method

Plz help me find the Limit of f(x,y)= (x^2-y^2)/(x^2+y^2)  as (x, y)  tend to (0,0) by epsilon delta method with a detailed solution.

Copernicus711   116   N/A

Copernicus711

Solving logarithmic equations

Solving logarithmic equations

3(2)^x = 18^X-1

Mathguy3000   42   1 Reply

bio_man

Solving logarithmic equations

Solving logarithmic equations

2(27)^x = 9^x+1

Mathguy3000   46   1 Reply

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bio_man

Solving logarithmic equations

Solving logarithmic equations

2^x - 2^-x = 4

Mathguy3000   48   1 Reply

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bio_man

Solving logarithmic equations

Solving logarithmic equations

Log of base 4 (x+2) + log of base 4 (x-3)=2

Mathguy3000   35   1 Reply

bio_man

Solving logarithmic equations

Solving logarithmic equations

Log of base 3 4x + log of base 3 5 - log of base 3  2= 4

Mathguy3000   36   1 Reply

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bio_man

Solving logarithmic equations

Solving logarithmic equations

Log of base 2 (2x+4) - log of base 2 (x-1)= 3

Mathguy3000   35   1 Reply

bio_man

Long division, synthetic division

Long division, synthetic division

2x^3-4x+7 divided by (2x-1)
If doing synthetic division how do you know when you add or subtract after you multiply the first number?

Mathguy3000   56   1 Reply

bio_man

Solving logarithmic equations

Solving logarithmic equations

8^3x+1 = 64^2x

Mathguy3000   35   2 Replies

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Madresa

Equivalent Trigonometric Expressions

Equivalent Trigonometric Expressions

Given that \(\cot \left(\frac{2\pi }{7}\right)=\tan z\ \), first express \(\frac{2\pi }{7}\) as a difference between \(\frac{\pi }{2}\) and an angle, and then apply a cofunction identity to determine th

klcarrasquillo   30   1 Reply

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bio_man

The acceleration due to gravity is inversely proportional to the square

The acceleration due to gravity is inversely proportional to the square

The acceleration due to gravity is inversely proportional to the square of the distance from the centre of Earth. The acceleration due to gravity for a satellite orbiting 7000 km above the centre of Earth is 8.2 m/s^2.

a) write a formula

klcarrasquillo   32   1 Reply

bio_man

Calculating Resultant Force with two Vectors

Calculating Resultant Force with two Vectors

I work at a utility company and we often have to calculate resultant force on our distribution lines. Example... If I have a force pulling against a utility pole at 90 degrees and a force pulling against the same pole at 315 degrees (500lbs and 700lb

Odyssey31   39   1 Reply

bio_man

How do i solve a system of equations with variables in the denominator?

How do i solve a system of equations with variables in the denominator?

I need to find the solution to something like this manually

2/5x + 5/6y = 15
2/5x - 3/4y = -5

It has to be done by hand

chementhusiast   60   1 Reply

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bolbol

Setting up linear equations

Setting up linear equations

The question asks:

A distributor has two gasohol blends: one that contains 5.00% alcohol and another with 11.0% alcohol. How many gallons of each must be mixed to make 500 gal of gasohol containing 9.50% alcohol?

Thanks!

chementhusiast   57   1 Reply

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bio_man

How do I solve a linear system by elimination with 3 unknowns?

How do I solve a linear system by elimination with 3 unknowns?

I'm expected to solve:

x+4y+3z=1
2x+5y+4z=4
x-3y-2z=5

And I need to show all my work

chementhusiast   43   1 Reply

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bio_man

Is the second equation the result of a valid operation on the first? If so, what is the operation?

Is the second equation the result of a valid operation on the first? If so, what is the operation?

Is the second equation the result of a valid operation on the first? If so, what is the operation?

                                       

abby_gray   45   1 Reply

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bolbol

Learning how to find the discriminant of a quadratic and its solutions

Learning how to find the discriminant of a quadratic and its solutions

how do you find the discriminant of a quadratic in standard form? and also find out how many solutions it may have?
Is there any steps or rules to make sure your solutions are reasonable

MartheGreat   36   1 Reply

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bio_man

Graph one complete cycle for the following function

Graph one complete cycle for the following function

Graph one complete cycle for the following function.

y=-3 sin(2x- π/3)

Calculate the period and phase-shift, and find the coordinates of the y-intercept, starting and end point of the cycle. Label your graph’s amplitude, period

chementhusiast   31   1 Reply

bio_man

Converting between polar and rectangular

Converting between polar and rectangular

(a)    5 ∠ 289°   to rectangular coordinates

(b)   (-5,7)    to polar coordinates

Thanks!

chementhusiast   40   1 Reply

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   60   2 Replies

chementhusiast

Write an equation that represents a cosine wave

Write an equation that represents a cosine wave

Any general wave will do. Thanks in advance

Also, state the period, phase-shift, and amplitude

chementhusiast   53   N/A

chementhusiast

Writing an equation for cosine with several hints given

Writing an equation for cosine with several hints given

I have to write the equation of the cosine wave whose amplitude is 1.5, has a period of 270°, a phase-shift of -60°, and is reflected about the x-axis.

How do I do that?

chementhusiast   67   N/A

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chementhusiast

Transforming polar equation to rectangular

Transforming polar equation to rectangular

Transform the polar equation r(1-cos θ )=1 into rectangular form.

Thanks

chementhusiast   55   N/A

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chementhusiast

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   93   2 Replies

Mujunyu520

Many income tax systems are calculated using a tiered method. under a certain tax law

Many income tax systems are calculated using a tiered method. under a certain tax law

Many income tax systems are calculated using a tiered method. under a certain tax law,  the first $100000 of earnings are subject to a 35% tax, earnings greater than  $100000 and up to $500000 are subject to a 45% tax. Any earnings above $5

cloveb   124   1 Reply

bolbol