Unit Exam - Radicals Simplify the following radical expression. 3sqrt (15)cdot 2sqrt (5) [?]sqrt ([ ]) square

Using divisibility tests, solve parts (a) through (c)below. a. Can 186 passengers be assigned to 3 flights so that each flight has the same number of passengers? Yes No

A) \( \begin{aligned} x+2 y-3 z & =-2 \\ x-y+z & =-1 \\ 3 x+4 y-4 z & =4\end{aligned} \)

8. Solve the following trig equation $10sin(x-2)=-7$ $\square $

Use the quotient rule to find the derivative of the following. $y=\frac {x^{2}-2x+5}{x^{2}+7}$ $\frac {dy}{dx}=\square $

Use the converse of the Pythagorean Theorem to determine whether the triangle with the given vertices is a right triangle. $(1,4),(4,2),(6,6)$ a. Yes,it is a right triangle. b. No, it is not a right triangle. Please select the best answer from the choices provided A B

Find the exact value of $tan[2sin^{-1}(-\frac {3}{5})]$ $tan[2sin^{-1}(-\frac {3}{5})]=\square $ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Use the trigonometric function values of the quadrantal angles to evaluate. $3cot90^{\circ }-4csc270^{\circ }$ $3cot90^{\circ }-4csc270^{\circ }=\square $ (Simplify your answer.Type an integer or a fraction.)

For $f(x)=\frac {x}{x+1}$ and $g(x)=\frac {7}{x}$ find a. $(f\circ g)(x)$ b. the domain of $f\circ g$ a $(f\circ g)(x)=\square $ (Simplify your answer.)

If the correlation coefficient is 1, then the relation is a __ perfect positive correlation perfect negative correlation weak negative correlation weak positive correlation

$\frac {2x}{x+2}-\frac {8}{x^{2}+2x}+\frac {3}{x}$