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Questions in mathematics

[Jawaban] What is the radius of a circle whose equation is $(x+5)^2+(y-3)^2=4^2$? A. 2 units B. 4 units C. 8 units D. 16 units

[Jawaban] Find the sum: $(x^2+2 x+3)+(3 x^2+x+1)$ A. $4 x^2+3 x+4$ B. $4 x^4+4 x+3$ C. $4 x^3+3 x+4$ D. $3 x^4+4 x+3$

[Jawaban] If $f(x)=x^2$, which equation represents function $g$? A. $g(x)=\frac{1}{3} f(x)$ B. $g(x)=3 f(x)$ C. $g(x)=f(\frac{1}{3} x)$ D. $g(x)=f(3 x)$

[Jawaban] Select the correct answer from each drop-down menu. The function $f$ is given by the table of values as shown below. \begin{tabular}{|c|c|c|c|c|c|} \hline$x$ & 1 & 2 & 3 & 4 & 5 \\ \hline$f(x)$ & 13 & 19 & 37 & 91 & 253 \\ \hline \end{tabular} Use the given table to complete the statements. The parent function of the function represented in the table is $\square$ If function $f$ was translated down 4 units, the $\square$ $f(x)$ -values would be $\square$ A point in the table for the transformed function would be $\square$ .

[Jawaban] Perform the indicated operations, and write the result in the form $a+b i$. (Simplify your answers completely.) $(4-3 i)+(5+4 i)$

[Jawaban] The cashier tells Yuric that his current balance is $168.32 and if he would like to add that jacket, his new balance would only be $194.98. Yuric is confused because the price tag on that jacket seems higher than what the new total indicates. This situation is modeled by the equation, $168.32+j=194.98$. Yuric looks at the price tag on the jacket and considers taxes. He figures the total price of the jacket should be $38.76. Based on the equation, is $38.76 the correct price of the jacket? Yes No

[Jawaban] \(\lim _{x \rightarrow-\infty} \frac{7 x-3}{x^3+2 x-9}=\)

[Jawaban] What is the value of $x$ in the equation below? $\frac{1}{3}(12 x-24)=16$ A. 2 B. 6 C. 8 D. 10

[Jawaban] Triangle HJK is cut by line segment AB. Line segment AB goes from side HJ to side HK. The length of HA is 5.25 inches, the length of HB is 3 inches, and the length of BK is 5 inches. What is the length of line segment AJ if line segment AB is parallel to line segment JK? Options: A) 8 in. B) 8.75 in. C) 10.25 in. D) 14 in.

[Jawaban] 1. What is a point? 2. What is a line segment? 3. What is a line? 4. What is a ray? 5. What is an angle? 6. In which unit is the size of an angle measured? 7. What is a straight angle? 8. What is an acute angle? 9. What is a right angle? 10. What is an obtuse angle?