Find all possible solutions to the problem.The sum of two whole numbers is 67. Their difference is less than five. What are the possibilities for the two numbers?

Fill in the blank(s) with the appropriate word(s).


32 and 35, 33 and 34

Mathematics

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Solve the problem.Mr. and Mrs. Smith have a home equity loan of $19,000. They have paid off  of the loan. How much of the loan have they paid off?

A. $18000 B. $16200 C. $17100 D. $1900

Mathematics

Decide whether the statement is true or false.If the coordinates of one endpoint of a line segment are (0, 0) and the coordinates of the midpoint of the segment are (p, q), then the coordinates of the other endpoint are (-p, -q).

A. True B. False

Mathematics

Find the value of the derivative.   if s = 1 - 4t2

A. -32 B. 1 C. -31 D. 32

Mathematics

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 + 160 D. y = 16x2 - 1600

Mathematics