Questions in mathematics

Questions in mathematics

📝 Answered - Q.7) Obtain the conjunctive normal form of: i) p ∧ (p ⇒ q) ii) ¬p ⇒ [r ∧ (p ⇒ q)]

📝 Answered - Find the number of integral solutions of \( \frac{1}{x} + \frac{3}{y} = \frac{1}{29} \) with the condition \( x > 0 \).

📝 Answered - Plot the $x$-intercept of the function $f(x)=(x+4)^2$.

📝 Answered - At what point does the line given by the following equation cross the $y$-axis? $y=\frac{6}{7} x+3$ A. $(0,3)$ B. $\left(-\frac{9}{2}, 0\right)$ C. $(3,0)$ D. $\left(0,-\frac{9}{2}\right)$

📝 Answered - Which statement best describes how to determine whether [tex]f(x)=9-4 x^2[/tex] is an odd function? A. Determine whether [tex]9-4(-x)^2[/tex] is equivalent to [tex]9-4 x^2[/tex]. B. Determine whether [tex]9-4(-x)^2[/tex] is equivalent to [tex]-(9-4 x^2)[/tex]. C. Determine whether [tex]9-4(-x^2)[/tex] is equivalent to [tex]9+4 x^2[/tex]. D. Determine whether [tex]9-4(-x^2)[/tex] is equivalent to [tex]-(9+4 x^2)[/tex].

📝 Answered - Determine if the expression $-y^4$ is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.

📝 Answered - What is the solution of $\frac{-8}{2 y-8}=\frac{5}{y+4}-\frac{7 y+8}{y^2-16}$? A. $y=-4$ B. $y=-2$ C. $y=4$ D. $y=6

📝 Answered - When solving a system of equations by substitution, what is meant by a useless result $(12=12)$? A. parallel lines B. no solution C. inconsistent system D. dependent system

📝 Answered - If [tex]$5 \log _3 3 x=15$[/tex], what is the value of x?

📝 Answered - Given u = (3,2), v = (1, 5), and the angle between the vectors is 45°, what is u · v?