447 Answered Questions for the topic Precalculus Homework

10/24/17

#### Doctors use radioactive iodine as a tracer in diagnosing certain thyroid gland disorders. This type of iodine decays in such a way that the mass remaining after

m(t) = 6e−0.087t
where m(t) is measured in grams.
a) Find the initial mass (mass at time t = 0).
b) How much of the mass remains after 20 days?

10/18/17

#### Find the intercepts and asymptotes

a) r(x) = x − 2 / x2 − 4x
b) s(x) = x2 − 2x + 1 / x3 − 3x2

10/15/17

#### Word Problem

Beth has 230ft of fencing available to make a rectangle enclosed in an open field. The enclosure needs to have an area of 3000ft^2. If she has to use all 230ft of fencing, what dimensions should...
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10/14/17

#### Word Problem Help!

A fourth-grade class decides to enclose a rectangular garden, using the side of the school as one side of the rectangle. What is the max area that the class can enclose using 32 ft of fence? What...
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10/14/17

#### Pre-Calc Help!

The spreag from of oil leaking from a tanker is in the shape of a circle. If the radius r (in feet) of the spread after t hours is r(t) = 200sqt(t), find the area A of the oil slick as a function...
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10/11/17

#### Find a function that models the length L of her shadow in terms of her distance d from the base of the lamp.

A woman 5 ft tall is standing near a street lamp that is 14 ft tall

10/05/17

#### Two polynomials P and D are given.

Use either synthetic or long division to divide P(x) by D(x), and express the quotient P(x)/D(x) in the form P(x)D(x)= Q(x) + R(x)/D(x).
P(x) = 2x3 + 4x2 − 2x − 1, D(x) = x + 3
P(x)/D(x)=

10/02/17

#### For the quadratic f(x) = 1 − 6x − x^2

(a) Express f(x) in standard form
(c)find its maximum or minimum value.

10/02/17

#### Find the values of the trigonometric functions of t when csc t = 3 and the terminal point of t is in Quadrant II.

I incorrectly solved it the first try.

09/26/17

#### Use the Inverse Function Theorem to show that f and g are inverses of each other

f(x) = x3 + 1
g(x) = ^3√x − 1

09/24/17

#### Show each step needed to transform y=(x^2-4) to y=-x^2 and label each step with the equation.

Show each step needed to transform y=(x^2-4) to y=-x^2 and label each step with the equation.

09/24/17

#### Supposed that f(x)= x^2+2x-8

a) What are the coordinates of the vertex?
b) Find the x-intercepts using algebra.

09/24/17

#### For the following function....

f(x)= -x+1 if -1<= (read this as less than or equal to) x<1
f(x)= 2 if x=1
f(x)= x^2. if x>1
a) find f(0)
b) find f(1)
c) find f(2)
d) determine...
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09/24/17

#### For the function f(x)= (x+2)/(x-6)

a) Is the point (3,14) on the graph?
b) If x=4, what is f(x)?

09/24/17

#### Find the equation of a line perpendicular to the line 2x+y-2=0 and passing thru the point (-3,0) USE the slope intercept form of the equation (y=mx+b)

Find the equation of a line perpendicular to the line 2x+y-2=0 and passing thru the point (-3,0) USE the slope intercept form of the equation (y=mx+b)

09/24/17

#### find the roots of the polynomial equation 5x^2-6x+9=0, and cube roots of 5x^3-6x+9=0

I tried solving this using quadratic equation but I am unsure if I am following the right path. Thank you

09/22/17

#### The function f(x)=2x+2 is one-to-one. Find an equation for f^-1(x), the inverse function

Type an expression for the inverse. Use integers or fractions for any numbers in the expression

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