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We define the following functions:f(x)=2x+5 g(x)=x^2-3 h(x)=7-x/3o Compute (f - h)(4). o Evaluate the following two compositions: (f?g)(x) and (h?g)(x). o Transform the g(x) function so that the graph is moved 6 units to the right and 7 units down. o Find the inverse functions f^-1(x) and h^-1(x).
if the light source is located three feet from the base along the axis of symmetry and the opening is fourteen feet across, how deep should the searchlight be?
If A is nonsingular, show that the characteristic values of A^(-1) are the reciprocals of A, and that A and A^(-1) have the same characteristic vectors.
complete assignment.
You attend a Karaoke night and hope to hear you favorite song. There are 300 different songs in the karaoke (and your favorite is among the 300). Assuming the singers are equally likely to pick any song and no song is repeated
A line passes through the point (x,y)=(-9,6) and has a slope of 3. Write the equation of the line.
Yuki bought a radio that had a price of $65.The sales tax in her city is 8%. What is the total amount Yuki paid for the radio?
Wiiand Corporation has 50,000 shares of $10 par value common stock outstanding. It declares a 10% stock dividend on december 1 when the market value per share is $16.
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
Destiny shows her friend Kaitlyn a deck of cards. Assuming the cards are randomly distributed, what is the probability that Destiny draws an ace and does not replace it, and then draws another ace?
The differential equation below models the temperature of a 86°C cup of coffee in a 16°C room, where it is known that the coffee cools at a rate of 1°C per minute when its temperature is 70°C. Solve the differential equation to find an expression ..
Assume that for each type of system below there is at least one variable with a nonzero coefficient. Find the smallest and largest rank possible for the corresponding augmented matrix in each case.
A package delivery company has determined that they can meet their schedules if they have 4 drivers for every 30 square miles of area they cover. If they want to offer service to a county of 75 square miles, how many drivers must they have?
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