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Questions in mathematics

[Jawaban] Which of the following is not a possible value for a probability? A. 0.82 B. 0.001 C. [tex]$\frac{1}{16}$[/tex] D. [tex]$\frac{5}{4}$[/tex]

[Jawaban] If [tex]$\cos 45^{\circ}=\frac{1}{\sqrt{2}}$[/tex], prove that [tex]$\tan 22 \frac{1}{2}^{\circ}=\sqrt{2}-1$[/tex]

[Jawaban] Chin canned a number of quart jars and a number of pint jars of tomatoes from his garden. A pint is 16 ounces and a quart is 32 ounces. The number of pints he canned is represented by $p$, and the number of quarts he canned is represented by $q$. Which equation models the scenario if Chin canned a total of 1,280 ounces? A. $1,280+16 p=32 q$ B. $1,280+32 q=16 p$ C. $32 q-16 p=1,280$ D. $16 p+32 q=1,280

[Jawaban] $3 < 2a + 9 \leq 7$

[Jawaban] What is [tex]$\cos 60^{\circ} ?$[/tex] A. [tex]$\frac{\sqrt{3}}{2}$[/tex] B. [tex]$\frac{1}{\sqrt{2}}$[/tex] C. 1 D. [tex]$\frac{1}{2}$[/tex] E. [tex]$\sqrt{3}$[/tex] F. [tex]$\frac{1}{\sqrt{3}}$[/tex]

[Jawaban] Simplify the following: $(8 x-6)\left(-2 x^2+4 x-3\right)$

[Jawaban] Solve $u^3=28$ where $u$ is a real number. Simplify your answer as much as possible. If there is more than one solution, separate them with commas.) $u=$

[Jawaban] Replace the ? with one of the following symbols ($&lt;,&gt;,=$, or $\neq$ ). $4+3+7 ? 7+0+7$ A) &lt; B) &gt; C) = D) $\neq$

[Jawaban] 1) Evaluating a function a. Means finding the value of f(x) or y that corresponds to a given value b. Means finding the value of f(x) or x that corresponds to a given value c. Both a and b. d. None of the above. 2) How do you evaluate a function? a. To evaluate function is to change its variable with a given number or expression. b. To evaluate function is to replace its variable with a given number or expression. c. To evaluate function is to replace its variable with a given number or functions. d. Both b and c. 3) It is represented by x and the output by f(x). a. Input b. Output c. Variable d. Function 4) If f(x) = 9 - 6x, evaluate f(-1). a. 15 b. 16 c. 17 d. 18 5) Find g(2-x) if g(x) = x² - 4x a. x² - 5x + 4 b. x² - 3x - 4 c. x² + 5x - 4 d. x² + 3x + 4

[Jawaban] Use the vertex formula to determine the vertex of the graph of the function. f(x) = -x² + 8x + 1 (x, y) = ( ) Write the function in standard form. f(x) =