Pre-calculus and Functions

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   158   1 Reply

bolbol

Answers only. No need solution . Thank you :)

Answers only. No need solution . Thank you :)

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

Acer Matthew Asistio   95   1 Reply

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

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   291   N/A

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   99   1 Reply

bio_man

Factoring 6xΔx + 3Δx²

Factoring 6xΔx + 3Δx²

In reference to: https://youtu.be/AJhRNwDLauI?t=218

6xΔx + 3Δx²

What is in common is 3 AND Δx.

6xΔx + 3Δx²

\(\therefore\) 3Δx ( 2x

bio_man   227   1 Reply

ryann

Find the imaginary roots of quartic that can be modelled into a quadratic

Find the imaginary roots of quartic that can be modelled into a quadratic

Find the roots of: \(2x^4-3x^2+4=0\)

Rewrite \(x^4\) as \(\left(x^2\right)^2\):

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

Set \(x^2\) as [math=inl

bio_man   198   1 Reply

ryann

Roots for incomplete quartic

Roots for incomplete quartic

\(x^4-10x^2+1=0\)

Set \(x^4\) as \(\left(x^2\right)^2\), therefore:

\(\left(x^2\right)^2-10x^2+1=0\)

Now set \(x^2\) as any variable you

bio_man   362   1 Reply

Amanda387

What is the degree of

What is the degree of

What is the degree of

1. 7x+4x³÷17
2. 3abc²+a²bc²-abc+2
3. X+2x²-6x³+ax⁴+1
4. 3xyz²+12
5. 14

Please send help

SOLUTION:

1. \(7x+\frac{4x^3}{17}\)

bio_man   348   1 Reply

duddy

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   255   N/A

bio_man

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   589   1 Reply

ksnts

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   391   N/A

bio_man

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   78   1 Reply

dianeflunder

L.P.​ Model: Maximize Z equals = 4 4X plus + 6 6Y Subject​ to: 1 1X plus + 2 2Y less than or ...

L.P.​ Model: Maximize Z equals = 4 4X plus + 6 6Y Subject​ to: 1 1X plus + 2 2Y less than or ...

L.P.​ Model:






Maximize

Z
equals
=
4
4X
plus
+
6
6Y

Subject​ to:


1
1X
plus
+
2
2Y
less than or equals

Catracho   86   1 Reply

bio_man

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   133   1 Reply

bio_man

An open box is to be made from a rectangular piece of material 9 in. 12 in. by cutting equal square

An open box is to be made from a rectangular piece of material 9 in. 12 in. by cutting equal square

Please see the attachments

ccnnieeee   199   1 Reply

bio_man

1. Find the domain of f(x)=1/sqrt(3+2x)

1. Find the domain of f(x)=1/sqrt(3+2x)

1. Find the domain of  f(x)=1/sqrt(3+2x)
2. If f(x)=1-x^2 and g(x)=1/sqrt x, find (f*g)(x)
3. An open box is to be made from a rectangular piece of material 9 in.  12 in. by cutting equal squares from each corner and turning up th

ccnnieeee   299   7 Replies

duddy

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   214   2 Replies

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   159   N/A

chementhusiast

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   156   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   243   1 Reply

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   201   1 Reply

bio_man

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   168   N/A

chementhusiast

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   139   1 Reply

bio_man

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   178   N/A

chementhusiast

Converting between polar and rectangular

Converting between polar and rectangular

(a)    5 ∠ 289°   to rectangular coordinates

(b)   (-5,7)    to polar coordinates

Thanks!

chementhusiast   152   1 Reply

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)

12

chibi   415   17 Replies

bio_man

To satisfy the inequality, sketch the following function by hand and shade the graph regions.

To satisfy the inequality, sketch the following function by hand and shade the graph regions.

f(x)=1/x^2-9

chibi   274   6 Replies

chibi

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   271   10 Replies

chibi

Bacteria Population

Bacteria Population

The doubling time of a small intestine bacteria is roughly about 10 hours. A typical small intestine will usually have a starting population of around 10,000 bacteria per ml of fluid. How long is it going to take for 100,000 bacteria per ml to

chibi   142   4 Replies

chibi

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   189   1 Reply

getdh

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   322   1 Reply

bolbol

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   345   N/A

Copernicus711

Evaluate each expression for a = 2, b = 3 and Express values in rational form.

Evaluate each expression for a = 2, b = 3 and Express values in rational form.

Step 1: substitute a = 2 and b = 3 into the expres

DCDSB Helper   116   N/A

DCDSB Helper

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   204   2 Replies

duddy

Simplify the radicals by reducing the order or index of radicals

Simplify the radicals by reducing the order or index of radicals

Want to learn more bout math.

Dein   135   1 Reply

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   124   3 Replies

bio_man

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   472   N/A

Durham_College

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

Determine the vertex and the direction of opening for each quadratic function. Then state the number ...

Determine the vertex and the direction of opening for each quadratic function. Then state the number ...

 QUESTION: Determine the vertex and the direction of opening for each quadratic function. Then state the number of zeros.
d) f(x) = 3(x +2)^2
I didn't understand the zeros part, the textbook said that there is 1 zero, but the zero is -

emilyliv   119   5 Replies

bio_man