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Questions in mathematics

[Done] 19. The inverse of [tex]f(x)=2 x-1[/tex] is A. [tex]x-1[/tex] B. [tex]\frac{x+1}{2}[/tex] C. [tex]\frac{1}{x+2}[/tex] D. [tex]x^2[/tex]. 20. Find the inverse of [tex]f(x)=x^3-2[/tex]. A. [tex](x+2)^{\frac{1}{2}}[/tex] B. [tex](x-2) \frac{1}{}[/tex] C. [tex](x-2)[/tex] D. [tex](x+2)[/tex]. 21. If [tex]h(x)=\frac{x+1}{2 x-5}[/tex], find [tex]h^{-1}(0)[/tex]. A. 0 B. -1 C. 1 D. [tex]\frac{1}{2}[/tex]. 22. Find the range of [tex]f(x)=\frac{x-2}{x-3}[/tex]. A. [tex]R \{0,1\}[/tex] B. [tex]R[/tex] C. [tex]R \(2,3)[/tex] D. [tex]R \(1)[/tex]. 23. The [tex]y[/tex]-intercept of [tex]y=a x^3+b x^2+c x+d[/tex] is A. [tex](y(0), 0)[/tex] B. [tex](y(0), y(0))[/tex] C. [tex](0,0)[/tex] D. [tex](0 . y(0))[/tex]. 24. Evaluate [tex]\lim _{h \rightarrow 0} \frac{1}{h} \ln \left(\frac{2+h}{2}\right)[/tex]. A. [tex]2^2[/tex] B. 1 C. [tex]\frac{1}{2}[/tex] D. 0. 25. Evaluate the left-hand limit [tex]\lim _{x \rightarrow-3}\left(-\frac{5}{x+3}\right)[/tex]. A. [tex]-\infty[/tex] B. [tex] \infty[/tex] C. 2 D. -2 26. Evaluate [tex]\lim _{x \rightarrow-2} \frac{x+2}{\ln (x+3)}[/tex]. A. Does not exist B. 2 C. 0 D. 1. 27. A function [tex]f(x)[/tex] is not continuous at [tex]a[/tex] if A. [tex]f(a)=0[/tex] B. [tex]f(a)[/tex] exists C. [tex]f(a) \neq 0[/tex] D. [tex]f(a)[/tex] is undefined.

[Done] Write a factor for each of the following numbers and indicate if it is a prime or composite number. | Number | Factors | Prime or Composite | |---|---|---| | 8 | 1, 2, 4, 8 | Composite | | 25 | 1, 5, 25 | Composite | | 21 | 1, 3, 7, 21 | Composite | | 30 | 1, 2, 3, 5, 6, 10, 15, 30 | Composite | | 5 | 1, 5 | Prime | | 48 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 | Composite | | 19 | 1, 19 | Prime | | 12 | 1, 2, 3, 4, 6, 12 | Composite |

[Done] Directions: Write Monomial if the given expression is a monomial. Write Not a Monomial if it is not. 1. 7x² 2. (3x)/y 3. -5a³b² 4. 4x + 2 5. (1/2)m²n

[Done] Ratio of present ages of Pankaj and Punit is 5:6 and the sum of their ages is 33 years. What will be the difference (in years) of their ages? a. 2 b. 4 c. 3 d. 5

[Done] Identify each triangle based on their angles as right, acute, obtuse, and equiangular. 1. A triangle with angles 70°, 50°, and 60°. 2. A triangle with a 90° angle. 3. A triangle with angles 30°, 110°, and 40°. 4. A triangle with angles 60°, 60°, and 60°. 5. A triangle with angles 130°, 25°, and 25°.

[Done] A basketball roster is shown in the table. Basketball Roster \begin{tabular}{|c|c|c|c|} \hline Player & Grade & Position & Height \\ \hline Adams & 11 & G & $5^{\prime} 6^{\prime \prime}$ \\ \hline Brock & 12 & F & $5^{\prime} 8^{\prime \prime}$ \\ \hline Cupp & 11 & F & $5^{\prime} 9^{\prime \prime}$ \\ \hline Dennis & 10 & G & $5^{\prime} 3^{\prime \prime}$ \\ \hline Early & 12 & C & $5^{\prime} 11^{\prime \prime}$ \\ \hline Finn & 11 & F & $5^{\prime \prime} 9^{\prime \prime}$ \\ \hline Grahm & 12 & G & $5^{\prime} 5^{\prime \prime}$ \\ \hline \end{tabular} Which variable would be classified as a continuous quantitative variable? A. grade B. height C. player name D. position

[Done] A given data set is normally distributed and has a mean of 50 and a standard deviation of 10. What value would lie 1 standard deviation to the left of the mean? A. 40 B. 60 C. 50 D. 10

[Done] Solve $\log (7 x+7)=1$. Round to the nearest thousandth if necessary.

[Done] Choose the correct answers. (Each answer, 3 points) 1.019) Which table represents the equation [tex]y=-2 x+17[/tex]? A. | x | y | |----|----| | 8 | 13 | | 10 | 12 | | 12 | 11 | | 14 | 10 | | 16 | 9 | B. | x | y | |----|----| | 2 | 21 | | 4 | 25 | | 6 | 29 | | 8 | 33 | | 10 | 37 | C. | x | y | |----|----| | 2 | 18 | | 4 | 19 | | 6 | 20 | | 8 | 21 | | 10 | 22 | D. | x | y | |----|----| | 8 | 1 | | 9 | -1 | | 10 | -3 | | 11 | -5 | | 12 | -7 |

[Done] Evaluate. $\frac{7}{9}+\frac{1}{6} \div \frac{3}{7}$ Write your answer in simplest form.