WILL +REP ANYONE THAT HELPS!
Have 4 hours to submit it and i dont know how to do any of it :/
1. Use the method of completing the square to find the standard form of the quadratic function. State the vertex and axis of symmetry of the graph of the function
f(x) = x^2 + 2x − 1
2. Use the vertex formula to determine the vertex of the graph of the function, and write the function in standard form.
f(x) = −x^2 + 6x − 1
3. Find the range of
f(x) = −x^2 − 6x − 5.
{y|y ≥ −4} or
{y|y ≤ −4} or
all real numbers or
{y|y ≤ 4} or
{y|y ≥ 4}
Determine the values of x in the domain of f for which
f(x) = 3.
(Enter your answers as a comma-separated list.)
4. Find the real zeros of f and the x-intercepts of the graph of f. (Enter your answers as a comma-separated list. Separate multiple ordered pairs with commas.)
f(x) = −x^2 + 8x + 9
5. Find the maximum or minimum value of the function. State whether this value is a maximum or a minimum.
f(x) = −x^2 + 16x − 7
6. Find the maximum or minimum value of the function. State whether this value is a maximum or a minimum.
f(x) = 3x^2 − 52
7. The fuel efficiency for a certain midsize car is given by
E(v) = −0.017v^2 + 1.394v + 3.8
where
E(v)
is the fuel efficiency in miles per gallon for a car traveling v miles per hour.
(a) What speed will yield the maximum fuel efficiency? Round to the nearest mile per hour.
(b) What is the maximum fuel efficiency for this car? Round to the nearest mile per gallon.
10. The function A(t) = 200e−0.014^t gives the amount of medication, in milligrams, in a patient's bloodstream t minutes after the medication has been injected into the patient's bloodstream.
(a) Find the amount of medication, to the nearest milligram, in the patient's bloodstream after 30 minutes.
mg
(b) Use a graphing utility to determine how long it will take, to the nearest minute, for the amount of medication in the patient's bloodstream to reach 50 milligrams.
11. A cup of coffee is heated to 180�F and placed in a room that maintains a temperature of 75�F. The temperature of the coffee after t minutes is given by
T(t) = 75 + 115e^−0.042t.
(a) Find the temperature, to the nearest degree, of the coffee 10 minutes after it is placed in the room.
�F
(b) Use a graphing utility to determine when, to the nearest tenth of a minute, the temperature of the coffee will reach 110�F.
After min
12. Solve the system of equations by the substitution method. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
−4x + 2y = −6
x = 5y − 3
13. Solve the system of equations by the substitution method. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
9x + 4y= 25
x − 5y = 30
14. Solve the system of equations by the elimination method. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
5x − y = 19
5x + 3y = 3
15. Solve the system of equations by the elimination method. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
3x+ 8y = 11
4x − 2y = 2
16. Solve the system of equations by the elimination method. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
3x + 6y = 5
2x + 4y = 5
17. Solve by using a system of equations.
Flying with the wind, a plane traveled 420 miles in 3 hours. Flying against the wind, the plane traveled the same distance in 5 hours. Find the rate of the plane in calm air and the rate of the wind.
18. Solve the system of equations. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
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