Find the composite function for the given functions.f ? g for f(x) = 2x + 5 and g(x) = -5x + 7
A. 10x + 19
B. -10x + 19
C. -10x
D. -10x + 32
Answer: B
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A water-filled ice tray is placed in a freezer that maintains a constant temperature of 6 degrees Fahrenheit. The table below shows the difference 
between the temperature T of the water in the ice tray, in degrees Fahrenheit, and the temperature the freezer.
t051015 D71.0057.8947.2038.49? A: Find an exponential model for the data. Be careful. The data are given in steps of 5 seconds. Round your answer to two decimal places, if necessery.B: Find a formula that gives the temperature T after t minutes. Round your answer to two decimal places, if necessery.C: Make a graph of T versus t over the first 30 minutes. Include the horizontal line representing the freezing temperature of water, 32 degrees.D: According to the model, how long does it take for the water to reach 32 degrees? Round your answer to two decimal places. What will be an ideal response?
Perform the operation and give the answer as a fraction in lowest terms.
÷ 
A. 
B. 
C. - 
D. - 
Solve the problem by writing and solving a suitable system of equations.Alan invests a total of $20,500 in three different ways. He invests one part in a mutual fund which in the first year has a return of 11%. He invests the second part in a government bond at 7% per year. The third part he puts in the bank at 5% per year. He invests twice as much in the mutual fund as in the bank. The first year Alan's investments bring a total return of $1645. How much did he invest in each way?
A. mutual fund: $7600; bond: $9100: bank: $3800 B. mutual fund: $6400; bond: $10,900: bank: $3200 C. mutual fund: $7000; bond: $11,000: bank: $3500 D. mutual fund: $7000; bond: $10,000: bank: $3500
Find the exact value of y, or state that y is undefined.y = tan-10
A. 0
B. ?
C. 
D. 2?