Questions in mathematics

Questions in mathematics

📝 Answered - Which statements about the function $f$ are true? Check all that apply. The domain of $f(x)$ is {all real numbers}. The range of $f(x)$ is {all real numbers}. The domain of $f(x)$ is ${x \mid x>0}$. The range of $f(x)$ is ${y \mid y>0}$. $f(2)=4$ $f(2)=2(\frac{1}{2} x+3)$

📝 Answered - $\frac{5}{8} \times \frac{14}{15}$

📝 Answered - A store sells dog bowls for $6 and $8. A kennel owner wants to spend at least $24 but no more than $48 on dog bowls. Find the system of inequalities. $\begin{array}{l} 8 x+6 y \leq 24 \\ 8 x+6 y \leq 48 \end{array}$ $\begin{array}{l} 6 x+8 y \geq 24 \\ 6 x+8 y \leq 48 \end{array}$ $\begin{array}{l} 6 x-8 y \geq 24 \\ 6 x+8 y \leq 48 \end{array}$ $\begin{array}{l} 8 x+8 y \geq 24 \\ 6 x+6 y \leq 48 \end{array}$

📝 Answered - In which triangle is the measure of the unknown angle, [tex]$x$[/tex], equal to the value of [tex]$\sin ^{-1}\left(\frac{5}{8.3}\right) ?$[/tex]

📝 Answered - Translate "6 more than $k$ exceeds 25" to an inequality and then solve. A. $k \geq 19$ B. $k<19$ C. $k>19$ D. $k \leq 19$

📝 Answered - According to the Fundamental Theorem of Algebra (p. 244-245), [tex]f(x)=x^3-2 x^2+2 x-6[/tex] will have $\square$ total zeroes because it has a degree of 3. Create a table and use the FTA and the numbers of possible positive/negative real zeroes to determine the possible number of imaginary zeroes for the function. | Number of Positive | Number of Negative | Number of Imaginary | Total Number | | :----------------- | :----------------- | :----------------- | :------------- | | Real Zeroes | Real Zeroes | Zeroes | = | | + | + | | = | | + | + | | | | + | + | | = | | + | + | | = |

📝 Answered - A line segment has endpoints at $(-1,4)$ and $(4,1)$. Which reflection will produce an image with endpoints at $(-4,-1)$ and $(-1,-4)$? A. A reflection of the line segment across the $x$-axis B. A reflection of the line segment across the $y$-axis C. A reflection of the line segment across the line $y=x$ D. A reflection of the line segment across the line $y=-x

📝 Answered - There are 8 identical plastic chips numbered 1 through 8 in a box. What is the probability of reaching into the box and randomly drawing the chip numbered 6? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.

📝 Answered - A wall has an area of 123m². A tin of paint will cover 14m² of wall. Hattie needs to work out how many tins of paint she will need to buy. Use estimation to work out how many tins she needs.

📝 Answered - Explain how to find the constant of proportionality for the ratio of robins to cardinals. A 2-column table with 4 rows: Column 1 labeled Cardinals with entries 5, 6, 9, 10. Column 2 labeled Robins with entries 15, 18, 27, 30.