Solve the problem.Linda invests  for one year. Part is invested at , another part at , and the rest at . The total income from all 3 investments is . The combined income from the 

src="https://sciemce.com/media/4/ppg__fdf0514192054__f1q211g6.jpg" alt="" style="vertical-align: -4.0px;" /> and  investments is the same as the income from the  investment. Find the amount invested at each rate.



A. $8000 at 5%, $10,000 at 6%, $7000 at 8%

B. $10,000 at 5%, $10,000 at 6%, $5000 at 8%

C. $10,000 at 5%, $5000 at 6%, $10,000 at 8%

D. $5000 at 5%, $10,000 at 6%, $10,000 at 8%

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Answer: C

Mathematics

Simplify the rational expression.

A.
B.
C.
D.

Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.2y2 = 3y - 4

A. Two different imaginary solutions B. Two different irrational solutions C. Two different rational solutions D. Exactly one rational solution

Using the horizontal-line test, determine whether the function is one-to-one.f(x) = x3 - 3x + 1

A. Yes B. No

Factor the difference of two squares.81x2 - 121y2

A. (9x - 11y)2 B. (9x + 11y)(9x - 11y) C. (9x + 11y)2 D. prime