Questions in mathematics

Questions in mathematics

📝 Answered - If a polynomial function [tex]$f(x)$[/tex] has roots [tex]$3+\sqrt{5}$[/tex] and -6, what must be a factor of [tex]$f(x)$[/tex]? A. [tex]$(x+(3-\sqrt{5})$[/tex] B. [tex]$(x-(3-\sqrt{5}))$[/tex] C. [tex]$(x+(5+\sqrt{3}))$[/tex] D. [tex]$(x-(5-\sqrt{3}))$[/tex]

📝 Answered - Solve for all possible values of x. [tex]\sqrt{x+6}+5=17[/tex]

📝 Answered - A ship sails 9 km from point Apapa to BarBeach on a bearing of $138^0$. It then changes its course and moves due west until it reaches CMS, which is south of Apapa. Calculate the distance between Bar-Beach and CMS. [Take; $\operatorname{Sin} 42^0=0.6991$, $\begin{array}{l} \operatorname{Cos} 42^{\circ}=0.7431, \tan 42^{\circ}=0.9004 \\ \left.\operatorname{Cos} 48^{\circ}=0.6691\right] \end{array}$ A. 3.35 km B. 4.00 km C. 5.67 km D. 6.02 km.

📝 Answered - Give an example of a case where a cost and a revenue function do not have a break-even point.

📝 Answered - Which is equal to $7 \times 7 \times 7 \times 7 \times 7 \times 7 ?$ A. $49 \times 49$ B. $7^6$ C. $6^7$ D. $6 \times 7$

📝 Answered - Multiply the following matrices: [tex]A=\left|\begin{array}{llll} 2 & 4 & 0 & 1 \\ 7 & 0 & 2 & 2 \end{array}\right| \quad B=\left|\begin{array}{lll} 2 & 5 & 1 \\ 0 & 7 & 1 \\ 2 & 0 & 0 \\ 7 & 2 & 0 \end{array}\right|[/tex]

📝 Answered - A triangle has side lengths measuring [tex]$3x \text{ cm}$[/tex], [tex]$7x \text{ cm}$[/tex], and [tex]$h \text{ cm}$[/tex]. Which expression describes the possible values of [tex]$h$[/tex] in cm? A. [tex]$4x \ \textless \ h \ \textless \ 10x$[/tex] B. [tex]$10x \ \textless \ h \ \textless \ 4x$[/tex] C. [tex]$h = 4x$[/tex] D. [tex]$h = 10x$[/tex]

📝 Answered - Use synthetic division to find the quotient and remainder. [tex]$\frac{x^4-25}{x+2}$[/tex] quotient [$\square$] remainder [$\square$]

📝 Answered - Multiply $(9-4)(2+5 i)$

📝 Answered - According to a study, $40 \%$ of people have more than $ \$10,000$ in credit card debt. Suppose that in a particular bank there are currently 60 customers waiting in line. Use a calculator to find the probability that of those 60 customers, between 21 and 23 of them have more than $ \$10,000$ in credit card debt. Round your answers to three decimal places. Provide your answer below: $\sigma_{p^{\wedge}}=\square$ $P(21 \leq X \leq 23)=\square$