Solve the problem.Jody is using a recipe that calls for  cup of milk per batch. If she has 1 cups of milk available, how many batches can she make?

A. 14 batches
B. 10 batches
C. 26 batches
D. 13 batches


Answer: D

Mathematics

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Determine whether (f(g(x)) = x and whether (g (f(x)) = x.f(x) = x2 + 5 , g(x) =  - 5

A. Yes, yes B. No, no C. No, yes D. Yes, no

Mathematics

The function f is one-to-one. State the domain and the range of f and f-1. Write the domain and range in set-builder notation.f(x) = -4x + 5

A. f(x): D = {x|x > -4}, R = {y|y > 5}; f-1(x): D = {x|x < -4}, R = {y|y < 5} B. f(x): D is all real numbers, R = {y|y > 5}; f-1(x): D is all real numbers, R = {y|y < 5} C. f(x): D is all real numbers, R is all real numbers; f-1(x): D is all real numbers, R is all real numbers D. f(x): D = {x|x > -4}, R is all real numbers; f-1(x): D = {x|x < -4}, R is all real numbers

Mathematics

Solve the problem.If two sound sources at the same volume are equidistant from a microphone, the pressure on the microphone is given by p = a cos ?1t + a cos ?2twhere a, ?1, ?2 are constants and t is time. Write p as a product of cosine functions.

What will be an ideal response?

Mathematics

Use the multiplication property of equality to solve the equation. -4x = -32

A. -28 B. 8 C. 28 D. -8

Mathematics