Questions in mathematics

Questions in mathematics

📝 Answered - Find the quotient. 1. $48 \div 3=$ $\square$ . 2. In the expression, $8 \longdiv { 9 6 }$, the quotient $a=$ $\square$ . 3. Divide 12 lizards into 6 equal groups. How many lizards are in each group? There are $\square$ lizards in each group.

📝 Answered - How much would you have to deposit in an account with a 7% interest rate, compounded monthly, to have $1100 in your account 10 years later? [tex] \begin{array}{c} P=\$[?] F=P\left(1+\frac{r}{n}\right)^{n t} \end{array} [/tex] Round to the nearest cent.

📝 Answered - Which algebraic expression represents this word description? The product of seven and the difference between a number and ten A. $7 x-10$ B. $7(10-x)$ C. $7(x-10)$ D. $10-7 x$

📝 Answered - What is the domain of the function $y=\ln (x+2)$? A. $x<-2$ B. $x>-2$ C. $x<2$ D. $x>2

📝 Answered - $\frac{x^2+1}{x^2(x+3)}$

📝 Answered - Rewrite with rational exponents. $\left(\sqrt[9]{2 x^4 y}\right)^{11}$

📝 Answered - 1. Let [tex]$P = \{p: p \in \text{multiples of } 2, p\ \textless \ 10\}$[/tex] and [tex]$Q = \{q: q \in \text{multiples of } 3, q\ \textless \ 10\}$[/tex] be two sets. i) List the elements of the sets P and Q. ii) State whether the sets P and Q are disjoint or overlapping. Give reason. iii) Show the elements of the sets P and Q in a Venn diagram. iv) List the elements which belong to the sets P as well as Q.

📝 Answered - Find \(\frac{3}{100}\) of 530 m.

📝 Answered - Given the following functions: [tex] \begin{array}{l} f(x)=3 x^2+5 x-2 \\ g(x)=5 x^3-4 x^2+4 \end{array} [/tex] Find [tex]$(f+g)(x)$[/tex] A. [tex]$(f+y)(x)=5 x^3-x^2+5 x+2$[/tex] B. [tex]$(f+g)(x)=8 x^3+x+2$[/tex] C. [tex]$(f+g)(x)=-5 x^3+7 x^2+5 x-6$[/tex] D. [tex]$(f+g)(x)=5 x^3+3 x^2+5 x+2$[/tex]

📝 Answered - Solve each polynomial equation in the complex numbers: [tex]3 x^4-26 x^3+66 x^2-50 x-25=0[/tex] Find the complex zeros of [tex]$f$[/tex].