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While standing on marker and facing green, golfer turns 125 degrees towards the ball. He then paces off 45 yards to his ball. How far is ball from center of green?
We will determine solution for the quadratic inequality. Plot the two functions on same axes: y=(x + 3)2 and y=-2*x + 10 Find where (in terms of x) linear equation is less than quadratic equation.
Find zeros of polynomial function g(x) := x4 + 4x3 - 10x2 - 28x - 15 and write it in completely factored form. Use Rational Root Theorem to find all possible rational roots and then use division tec
Illustrate that x = -4 is a zero (or root) of function f(x) := 3x+x 2- 38x+24 (i.e. show that f(-4) = 0). What does this sigify you about the factor of polynomial function?
Let f(x)=x/(x-2) and g(x)=sqrt(3-x). Find following. Use interval notation where suitable. The composition f(g(x)) and The composition f(f(x)).
From the point A which is 9.50 meters above level ground, angle of elevation of top of the building is 36°50' and angle of depression of base of building is 18°20'. Determine the height of
You put $9500 in the account with the annual interest rate of 13%. Find how long will it take for funds to double if interest is compounded annually (once per year)?
Suppose exponential growth, determine the formula for number of cells p(t) in colony after t hours. How long will it take for colony to triple in size?
Determine the formula for exponential function V=h(t) which provides value of the item initially worth $5000 which loses half its value every 5 years.
Provided: y^2 = -12x a. Find direction where the parabola opens? b. Write the value for p. c. Write equation for directrix. d. Write focal point(focus). e. Write endpoints of focal chord.
The manufacturer can make at most 110 units of certain product each year. Maximum profit which corresponds to profit-maximizing output is?
Graph the equations together on same graph. Graph and write equation for absolute value function, which opens downward and has its "point" shifted from (0,0) to (-3,2).
One model of worldwide oil production is function provided by following formula According to model, in what year did worldwide oil production get absolute maximum? Find what was that maximum?
$200 is deposited monthly for 10 years at 6% per year in the account containing $4,000 at start. Calculate simple interest INT for specified period and future value FV at end of the period.
you will work for 40 years before retiring. After retirement, you will be paid the quarterly pension based on the 25-year payout. How much will you get each quarter?
Provided the function f(x)=x^3 - 2*x + 1. Let x1=-2, x2=-1, x3=0. Compute f(x1), f(x2), and write the slope of the secant line connecting (x1,f(x1)) and (x2,f(x2)).
In 2005, you contain 60 CDs in the collection. In 2008, you contain 140 CDs. In 2012, you contain 30 CDs. Find average rate of change in size of CD collection between.
Business (Widgets, Inc) forms the linear model of its widget pricing function based on given information. Determine linear pricing function p(x) based on information.
Let the following functions. f(x) = x^2-1, g(x) = square root of 9x. Determine the domain of f o g. Write answer using interval notation.
The point (a,b) is on graph of one-to-one function y = f(x). For each of the given functions, enter ordered pair which corresponds to transformation of (a,b).
Assume that you draw the square of side length 2, then you draw another square whose vertices are midpoints of first square's edges. Write the perimeter of n-th square. Determine formula for Pn.
If perimeter of the football field in NFL, including end zones, is 1040 ft and field is 120 yd long, then compute the width of field in feet?
Saddle height on a bicycle must be 109% of inside leg measurment of the rider. If height is 37 inches, then find inside leg measurement?
Find this polynomial by degree. Write the results of Leading Coefficient Test. Completely factor g and determine all real zeros of g. Illustrate your work.
Using Rational Zeros Theorem, find out possible rational roots of g. Completely factor g(x) by using synthetic division, using possible roots you found in part (a). Determine all the real zeros of g