Find an equation y = mx + b that models the quantity y after x units of time.A quantity y is initially 40 and increases at a rate of 5 per minute.
A. y = 40x + 5
B. y = 40x - 5
C. y = 5x + 40
D. y = -5x + 40
Answer: C
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Find the function with the given derivative whose graph passes through the point P.g'(x) = + 2x , P(-2, 2)
A. g(x) = + x2 +
B. g(x) = + x2 -
C. g(x) = - - x2 -
D. g(x) = - + x2 -
Use the distributive property to multiply. Then, if possible, simplify the resulting expression.4(a + b)
A. 4ab B. 8ab C. 4a + 4b D. 4a + b
Perform the indicated operation. Write your result in a + bi form.-5i(-5i)
A. -25i B. -25i2 C. -25 D. 25
Solve the problem.Sue wants to put a rectangular garden on her property using 68 meters of fencing. There is a river that runs through her property so she decides to increase the size of the garden by using the river as one side of the rectangle. (Fencing is then needed only on the other three sides.) Let x represent the length of the side of the rectangle along the river. Express the garden's area as a function of x.
A. A(x) = 35x - 2x2
B. A(x) = 34x - x2
C. A(x) = 34x2 - x
D. A(x) = 33x - x2