Questions in mathematics

Questions in mathematics

📝 Answered - What is the range of [tex]f(x)=\frac{-2}{x-2}-2[/tex]? A. [tex](-\infty, 0) \cup(0, \infty)[/tex] B. [tex](-\infty, 2) \cup(2, \infty)[/tex] C. [tex](-\infty,-2) \cup(2, \infty)[/tex] D. [tex](-\infty,-2) \cup(-2, \infty)[/tex]

📝 Answered - Choose the correct simplification and demonstration of the closure property given: (4x³ + 3x²-6x) - (10x³ + 3x²). A. -6x³-6x; is a polynomial B. -6x³-6x; may or may not be a polynomial C. -6x³-6x²-6x; is a polynomial D. -6x³-6x²-6x; may or may not be a polynomial

📝 Answered - Judd worked 40 hours this week. He worked $\frac{7}{10}$ of the hours outside and the rest inside. How many hours did he work outside? A. 12 B. 28 C. 8 D. 35

📝 Answered - What is the following product? [tex]$\sqrt[3]{5} \cdot \sqrt{2}$[/tex] A. [tex]$\sqrt[6]{10}$[/tex] B. [tex]$\sqrt[6]{200}$[/tex] C. [tex]$\sqrt[6]{500}$[/tex] D. [tex]$\sqrt[6]{100000}$[/tex]

📝 Answered - Let [tex]g(z)=-\frac{7}{1+z^2}[/tex] Determine the most general antiderivative of [tex]g[/tex], using [tex]C[/tex] or [tex]c[/tex] as the arbitrary constant, if needed. [tex]G(z)=\square[/tex]

📝 Answered - If $y$ is a positive integer, for how many different values of $y$ is $\sqrt[3]{\frac{144}{y}}$ a whole number?

📝 Answered - In a temple, 2,500 flowers out of 11,000 are used for decoration on the occasion of Krishna Janmashtami. How many flowers are left?

📝 Answered - Ramesh, a local book vendor in Kozhikode, buys blank journals at a fixed price of Rs. 26 each. The journals are hand-illustrated by a street artist, and Ramesh increases the selling price of each subsequent journal by Rs. 3 compared to the previous one starting with Rs. 2. i.e., he sells the first journal for Rs. 2, the second for Rs. 5, the third for Rs. 8, and so on. What is the minimum number of journals he must sell if he does not want to make a loss? Note: Put the answer as an integer without any padded zeroes or decimal points. For example, if the answer is 100, then please put 100 as the answer and not 100.0 or 0100 or 00100.

📝 Answered - The expression $\frac{f(x+h)-f(x)}{h}, h \neq 0$, is called the $\square$ of the function f. We find this expression by replacing x with $\square$ each time x appears in the function's equation. Then we subtract $\square$. After simplifying, we factor $\square$ from the numerator and divide out identical factors of $\square$ in the numerator and denominator.

📝 Answered - What is the range of the function $y=\sqrt[3]{x+8}$? A. $-\infty$ B. $-8$ C. $0 \leq y<\infty$ D. $2 \leq y<\infty$