Questions in mathematics

Questions in mathematics

📝 Answered - What is the transformation that transforms the graph of the function [tex]f(x)=x^2[/tex] to the graph of the function [tex]g(x)=(x+9)^2[/tex]? A: Vertical shift 9 units upward B: Vertical shift 9 units downward C: Horizontal shift 9 units to the left D: Horizontal shift 9 units to the right

📝 Answered - The two conditional relative frequency tables show the results of a neighborhood survey on the number and types of gardens in the community. Table A: Garden-Type Frequencies by Column A 4-column table with 3 rows titled garden-type frequencies by column. The first column has no label with entries flower garden, no flower garden, total. The second column is labeled vegetable garden with entries 0.28, 0.72, 1.0. The third column is labeled no vegetable garden with labels 0.22, 0.78, 1.0. The fourth column is labeled total with entries 0.25, 0.75, 1.0. Table B: Garden-Type Frequencies by Row A 4-column table with 3 rows titled garden-type frequencies by row. The first column has no label with entries flower garden, no flower garden, total. The second column is labeled vegetable garden with entries 0.56, 0.48, 0.5. The third column is labeled no vegetable garden with labels 0.44, 0.52, 0.5. The fourth column is labeled total with entries 1.0, 1.0, 1.0. Which table could be used to answer the question "Assuming someone has a flower garden, what is the probability they also have a vegetable garden?"

📝 Answered - Find the absolute extrema of the function on the closed interval. Consider the following function and closed interval: [tex]g(x)=\frac{2 x^2}{x-2}, \quad[-2,1][/tex] Find [tex]g^{\prime}(x)[/tex]. [tex]g^{\prime}(x)=\square[/tex] Find the critical numbers of [tex]g[/tex] in [tex](-2,1)[/tex] and evaluate [tex]g[/tex] at each critical number. [tex](x, y)=(\square)[/tex] Evaluate [tex]g[/tex] at each endpoint of [tex][-2,1][/tex]. Left endpoint: [tex](x, y)=[/tex] ([tex]\square[/tex]) Right endpoint: [tex](x, y)=[/tex] ([tex]\square[/tex]) Find the absolute extrema of the function on the closed interval [tex][-2,1][/tex]. Minima: Smaller [tex]x[/tex]-value: [tex](x, y)=([/tex] [tex]\square[/tex]) Larger [tex]x[/tex]-value: [tex](x, y)=([/tex] [tex]\square[/tex]) Maximum: [tex](x, y)=(\square)[/tex]

📝 Answered - Express the number in standard notation. $8.4 \times 10^{-6}$

📝 Answered - The radius of a circle with an area of 60 square centimeters is represented by the expression $\sqrt{\frac{60}{\pi}}$ centimeters. What is another way of expressing the radius? A. $2 \sqrt{15 \pi}$ B. $4 \sqrt{5 \pi}$ C. $\frac{2 \sqrt{15 \pi}}{\pi}$ D. $\frac{4 \sqrt{5 \pi}}{\pi}$

📝 Answered - What is the value of [tex]f(x)=3 x^2+4[/tex] when [tex]x=-3[/tex]?

📝 Answered - Evaluate the expression $-6(w-10)$ when $w=10$.

📝 Answered - Which point is on the line that passes through point H and is perpendicular to line FG? $(-6,10)$ $(-2,-12)$ $(0,-2)$ $(4,2)$

📝 Answered - A loan is repaid with equal monthly installments over a period of 20 years. The interest rate is 10.25% per annum, compounded monthly. 1. Calculate the deposit amount. 2. Calculate the loan amount. 3. Calculate the monthly installment. 4. Calculate the outstanding balance after the 129th payment. 5. Due to financial problems, John was unable to pay the 130th installment.

📝 Answered - Which is equal to $\sqrt{0.09}$? A. $\frac{3}{10}$ B. $\frac{1}{9}$ C. $\frac{1}{3}$ D. $\frac{3}{100}$