Questions in mathematics

Questions in mathematics

[Answered] How many GH\notin 50 notes will make GH\notin 3,000?

[Answered] Use complete sentences to describe why [tex]$\sqrt{-1} \neq-\sqrt{1}$[/tex].

[Answered] (b) Write the recurring decimal 0.18 as a fraction in its lowest terms. [0.18 means 0.181818...]

[Answered] Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of $3 \%$ per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frog population after $x$ years? A. [tex]f^{\prime}(x)=1,200(1.03)^x[/tex] B. [tex]f(x)=1,200(0.03)^x[/tex] C. [tex]f(x)=1,200(0.97)^x[/tex] D. [tex]f(x)=1,200(0.97 x)[/tex]

[Answered] Examine the system of equations. Do you think the lines will intersect? Explain. [tex] \begin{array}{l} y=2 x-7 \\ y=x-7 \end{array} [/tex]

[Answered] The equation of line [tex]$CD$[/tex] is [tex]$y=3x-3$[/tex]. Write an equation of a line perpendicular to line [tex]$CD$[/tex] in slope-intercept form that contains point [tex]$(3,1)$[/tex].

[Answered] A line is drawn through $(-4,3)$ and $(4,3)$. Which describes whether or not the line represents a direct variation? A. The line represents a direct variation because $-\frac{4}{3}=\frac{4}{3}$. B. The line represents a direct variation because it is horizontal. C. The line does not represent a direct variation because it does not go through the origin. D. The line does not represent a direct variation because $-4(3) \neq 4(3)$.

[Answered] Type the correct answer in the box. The value of an autographed baseball from 2017 is [tex]$300[/tex]. The value of the baseball exponentially increases by 5% each year after 2017. Write a one-variable inequality that could be used to solve for the number of years, [tex]$x$[/tex], it would take for the baseball to be worth at least [tex]$650[/tex]. Do not use any dollar signs in the inequality. Write the inequality in standard form.

[Answered] Multiply: [tex]a^{-5}(a^3)(a^{-2})[/tex] A. [tex]\frac{1}{a^5}[/tex] B. [tex]a^4[/tex] C. [tex]a^{30}[/tex] D. [tex]\frac{1}{a^4}[/tex]

[Answered] Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108.00. Which linear function represents $c$, the total cost, when $x$ tickets are ordered? (A service fee is a single fee applied to the total, no matter the number of tickets purchased). A. $c(x)=5.50+20.50 x$ B. $c(x)=5.50 x+20.50$ C. $c(x)=5.50+21.60 x$ D. $c(x)=5.50 x+21.60$