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Questions in mathematics

[Jawaban] The degree of the polynomial function below is [tex]$f(x)=-3 x^5+4 x-2$[/tex]

[Jawaban] From the equation below, enter the value of the coefficient that represents $c$ in the standard form of a quadratic equation. $f(x)=5 x^2-6 x-7$

[Jawaban] Divide the following: $\frac{2 x^2-3 x-20}{x-4}$ Since the denominator is a quadrinomial and linear, we will use synthetic division to solve this problem. First we must find the DIVISOR TERM by setting the divisor $=0$ and solving for $x$. $0=$ $x=$

[Jawaban] Work out the missing side x. Give your answers to 1 decimal place or better. Diagram 1: A right triangle with hypotenuse 4 cm, an angle of 28 degrees, and side x opposite the right angle. x = cm Diagram 2: A right triangle with base 5 cm, an angle of 15 degrees, and side x opposite the right angle. x = cm Diagram 3: A right triangle with hypotenuse 8 cm, an angle of 74 degrees, and side x adjacent to the 74-degree angle. x = cm Diagram 4: A right triangle with hypotenuse x, an angle of 29 degrees, and side 5.4 cm adjacent to the 29-degree angle. x = cm Diagram 5: A right triangle with hypotenuse x, an angle of 42 degrees, and side 3.4 cm opposite the 42-degree angle. x = cm Diagram 6: A right triangle with hypotenuse x, an angle of 46 degrees, and side 5.8 cm adjacent to the 46-degree angle. x = cm

[Jawaban] Given a triangle with vertices A(2,3), B(4,5), and C(3,6), reflect it across: 1. The x-axis (Plot the new vertices A1, B1, and C1) 2. The y-axis (Plot the new vertices A2, B2, and C2) 3. The line y=x (Swap the x and y coordinates to find the new vertices A3, B3, and C3).

[Jawaban] The formula to convert ${ }^{\circ} F$ to ${ }^{\circ} C$ is $C =\frac{5}{9}(F-32)$. Convert $50^{\circ} C$ to ${ }^{\circ} F$. A. $10^{\circ} F$ B. $20^{\circ} F$ C. $122^{\circ} F$ D. $132^{\circ} F$

[Jawaban] Evaluate the expression for $x=4$ and $y=5$. $6\left(x^2-y\right)-y^2$ A. 8 B. 41 C. 47 D. 56

[Jawaban] $\left[\begin{array}{cc}-2 & -6 \\ -4 & 3 \\ 5 & 0 \\ 4 & -6\end{array}\right] \cdot\left[\begin{array}{ccc}2 & -2 & 2 \\ -2 & 0 & -3\end{array}\right]$

[Jawaban] If $a(x)=3x+1$ and $b(x)=\sqrt{x-4}$, what is the domain of $(b \circ a)(x)$?

[Jawaban] A dance instructor chose four of his 10 students to be on stage for a performance. If order does not matter, in how many different ways can the instructor choose the four students?