Factor by grouping.5x + 35 + xy + 7y

A. (x + 7y)(5 + y)
B. (y + 7)(5x + y)
C. (x + 7)(5 + y)
D. (y + 7)(x + 5)


Answer: C

Mathematics

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In a certain lake the intensity of light from the surface decreases by  40% for each additional meter of depth.   ? A: Explain why light intensity is an exponential function of depth. ? B: Using for intensity at the surface of the lake,  write a formula that gives the intensity  I of light ?d meters below the surface. ? C: At what depth will light intensity be one tenth of surface intensity? Round your answer to two decimal places if necessary. ?

What will be an ideal response?

Mathematics

Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point.

A.   local maximum;    local minimum
B.   saddle point;    saddle point
C.   local maximum
D.   local minimum

Mathematics

Find the area.

A. 15 m2
B. 19 m2
C. 9 m2
D. 7 m2

Mathematics

Factor the polynomial f(x). Then solve the equation f(x) = 0.f(x) = x3 - 9x2 + 23x - 15

A. (x + 1)(x - 3)(x + 5) ; -1, 3, -5 B. (x - 1)(x + 3)(x - 5) ; -1, 3, -5 C. (x - 1)(x - 3)(x - 6) ; 1, 3, 6 D. (x - 1)(x - 3)(x - 5) ; 1, 3, 5

Mathematics