Use the figure provided to find the requested expression.In ?ABC, vectors u and w are determined by the sides shown, where P is the midpoint of side BC. Find an expression for v in terms of u and w.
A. u +
w
B. u + w
C. u - w
D. u -
w
Answer: A
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Factor the polynomial completely. If the polynomial cannot be factored, write "prime."x2 + 3xy - 10y2
A. (x - 5y)(x + 2y) B. (x + 5y)(x - 2y) C. (x - 5y)(x + y) D. Prime
Find the derivative of the function.y = log (4x - 7)
A.
B.
C.
D.
Translate the problem situation to a system of equations. Do not solve.Anne has 15 coins in her pocket consisting of nickels and dimes only. The total value of the coins is $1.25. How many nickels and how many dimes does she have?
A. x + y = 15; 5x + 10y = 1.25 B. x + y = 15; 5x + 10y = 125 C. x + y = 15; 0.05x + 0.1y = 125 D. x + y = 15; 5x + 5y = 125
Write the equation of the quadratic function whose graph is a parabola containing the given points.An egg is dropped from the top of a 1600-foot-high building. The ball is 1456 feet above the ground after 3 seconds, and it reaches level ground in 10 seconds. The height above the ground is a quadratic function of the time after the ball is thrown. Write the equation of this function.
A. y = -16x2 + 1600 B. y = 16x2 + 1600 C. y = 16x2 - 1600 D. y = -16x2 + 160