Pre-calculus and Functions

Composition of Functions

Composition of Functions

f(x)=x^4+8
g(x)=x-2
h(x)=sqrt(x)

f*g*h(x)

km43sd   238   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   247   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   215   1 Reply

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   223   1 Reply

bio_man

Solving graphically

Solving graphically

When solved graphically, the equation 3sin^2 x - 2sin x = 1 in the domain - 360 degrees ≤ x < 360 degrees has how many solutions ?
a.8 b.4 c.3 d.6

hsedward   236   1 Reply

bio_man

The value of the θ

The value of the θ

the value of the θ in the domain  0 ≤ θ ≤pi satisfies the eq sqrt3cot θ+1 = 0?

a) pi/6    b)5pi/6    c)pi/3    d)2pi/3

hsedward   182   1 Reply

bio_man

The exact value of sec theta + tan theta is?

The exact value of sec theta + tan theta is?

the point (10,-24) lies on the terminal arm of an angle theta in standard position. The exact value of sec theta + tan theta is?

a. 5 b.10/24 c.26/10 d.1/5

hsedward   219   1 Reply

bio_man

The horizontal phase shift of the resultant graph is

The horizontal phase shift of the resultant graph is

when the graph of y=sin theta has been transformed according to the directions y=sin(1/6x   + pi/2), the horizontal phase shift of the resultant graph is _ units to the left

hsedward   229   1 Reply

bio_man

The height of your the rope after 1 minute to the nearest tenth of a meter is?

The height of your the rope after 1 minute to the nearest tenth of a meter is?

a girl jumps rope such that the height h, in meters, of the middle of the rope can be approximated by the equation h=0.7sin(72t +9) + 0.75, where t is the time in seconds . The height of your the rope after 1 minute to the nearest tenth of a meter is

hsedward   239   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   240   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   217   1 Reply

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   236   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   220   1 Reply

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   590   1 Reply

ksnts

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

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

Solving logarithmic equations

Solving logarithmic equations

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

Mathguy3000   176   1 Reply

bio_man

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

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   220   1 Reply

bio_man

Solving logarithmic equations

Solving logarithmic equations

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

Mathguy3000   167   1 Reply

bio_man

Solving logarithmic equations

Solving logarithmic equations

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

Mathguy3000   165   1 Reply

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   140   1 Reply

bio_man

Solving logarithmic equations

Solving logarithmic equations

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

Mathguy3000   173   1 Reply

bio_man

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   156   1 Reply

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   160   1 Reply

bolbol

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   229   1 Reply

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   167   1 Reply

bio_man

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   172   1 Reply

bio_man

Solving logarithmic equations

Solving logarithmic equations

2^x - 2^-x = 4

Mathguy3000   205   1 Reply

bio_man

Solving logarithmic equations

Solving logarithmic equations

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

Mathguy3000   164   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   154   1 Reply

bio_man

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

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   200   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   228   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   363   1 Reply

Amanda387

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   157   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

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

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   122   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   100   1 Reply

bio_man