Questions in mathematics

Questions in mathematics

📝 Answered - Select the correct answer from each drop-down menu. Consider the following equation: [tex]3^x=2^{-x}+4[/tex] If the equation is solved using successive approximation, select the value of [tex]x[/tex] after the following number of iterations. 1 iteration: [tex]x=[/tex] $\square$ 2 iteration: [tex]x=[/tex] $\square$ 3 iteration: [tex]x=[/tex] $\square$

📝 Answered - Which graph represents the following piecewise defined function? [tex]g(x)=\left\{\begin{array}{cc}x^2, & x\ \textless \ 0 \\ \frac{1}{2} x, & 0\ \textless \ x \leq 4 \\ x, & x\ \textgreater \ 4\end{array}\right.[/tex]

📝 Answered - Problem 4. (1 point) [tex]\ln \left(r^6 s^7 \sqrt[9]{r^8 s^9}\right)[/tex] is equal to [tex]A \ln r+B \ln s[/tex] where [tex]A=[/tex] $\square$ and where [tex]B=[/tex] $\square$ Note: In order to get credit for this problem all answers must be correct.

📝 Answered - Which of the below points is in the solution region to the following system of inequalities? [tex] \begin{array}{l} y \geq-x+5 \\ -x \leq-2 y-3 \end{array} [/tex] (-3,-3) (0,0) (10,0) (4,6)

📝 Answered - What is true regarding two adjacent arcs created by two intersecting diameters? A. They always have equal measures. B. The difference of their measures is $90^{\circ}$. C. The sum of their measures is $180^{\circ}$. D. Their measures cannot be equal.

📝 Answered - A family is canoeing downstream (with the current). Their speed relative to the banks of the river averages $2.75 mi / h$. During the return trip, they paddle upstream (against the current), averaging 1.5 milh relative to the riverbank. Write and solve a system of equations to find the family's paddling speed in still water. Let $s$ equal the families paddling speed and $c$ represent the current. a. $\quad s + c =2.75$ $s-c=1.5$ $2.125 mi / h$ b. $\quad 2.75 s= c$ $1.5 s=c$ $1.725 mi / h$ c. $s + c =2.75$ $c-s=1.5$ $.60 mi / h$ d. $\quad 2.75 c = s$ $1.5 c=s$ $30 mi / h$ Please select the best answer from the choices provided

📝 Answered - Vanessa uses the expressions $\left(3 x^2+5 x+10\right)$ and $\left(x^2-3 x-1\right)$ to represent the length and width of her patio. Which expression represents the area of Vanessa's patio? A. $3 x^4-4 x^3-8 x^2-35 x-10$ B. $3 x^4+14 x^3+22 x^2+25 x-10$ C. $3 x^4-4 x^3+22 x^2+35 x+10$ D. $3 x^4+14 x^3+28 x^2+35 x+10$

📝 Answered - The table below shows the typical hours worked by employees at a company. A salaried employee makes $67,000 per year. Hourly employees get paid $25 per hour, but get $37.50 per hour for each hour over 40 hours. | Sun. | Mon. | Tues. | Wed. | Thurs. | Fri. | Sat. | |---|---|---|---|---|---|---| | 0 | 10 | 8 | 8 | 7 | 6.5 | 4.5 | Which of the payment options would you recommend to a new employee? A. Either one. Hourly and salaried employees earn the same amount per week. B. Hourly pay. Hourly employees make more per week than salaried employees. C. Salaried pay. Salaried employees make more per week than hourly employees. D. There is not enough information given to compare weekly earnings.

📝 Answered - Which of these expressions is a binomial? | Expression | | :---------- | :------- | | 1 | -8 | | 2 | [tex]$7 a$[/tex] | | 3 | [tex]$3+4 x$[/tex] | A. 2 and 3 B. 1 and 2 C. 1 D. 3

📝 Answered - Estimate the local minimum of $y=2 x^3+x^2-7 x-6$. A. there is no local minimum B. $(-1.25,0.41)$ C. $(2,0)$ D. $(1,-10)$