Translate the statement into a linear inequality.The difference of a number x and 8 is positive.

A. x - 8 < 0
B. 8x ? 0
C. x + 8 > 0
D. x - 8 > 0


Answer: D

Mathematics

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Solve the problem.Euler conjectured that the formula n2 - n + 41 would generate prime numbers for whole numbers n. The formula generates prime numbers for n up to 40 and fails at n = 41. Evaluate Euler's formula for n = 42 and determine whether this is a prime number. If it is not a prime number, give its prime factors.

What will be an ideal response?

Mathematics

Use the formula for the sum of the first n terms of a geometric sequence to evaluate the sum.

A.
B.
C.
D.

Mathematics

Solve the problem.A truck rental company rents a moving truck one day by charging $29 plus $0.09 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven. What is the cost of renting the truck if the truck is driven 190 miles?

A. C(x) = 0.09x + 29; $30.71 B. C(x) = 0.09x + 29; $46.10 C. C(x) = 29x + 0.09; $5,510.09 D. C(x) = 0.09x - 29; -$11.90

Mathematics

Evaluate using integration by parts.ln 4x dx

A.  x5 ln 4x +  x5 + C
B. ln 4x -  x5 + C
C.  x5 ln 4x -  x6 + C
D.  x5 ln 4x -  x5 + C

Mathematics