Questions in mathematics

Questions in mathematics

📝 Answered - Which statements are true about the graph of [tex]$y \leq 3 x+1$[/tex] and [tex]$y \geq-x+2$[/tex]? Check all that apply. A. The slope of one boundary line is 2. B. Both boundary lines are solid. C. A solution to the system is (1,3). D. Both inequalities are shaded below the boundary lines. E. The boundary lines intersect.

📝 Answered - Solve the inequality $x+4<5$ A. $x>9$ B. $x>1$ C. $x<9$ D. $x<1$

📝 Answered - Consider the following sets: [tex]R =\{x \mid x[/tex] is the set of rectangles [tex]\}[/tex] [tex]P =\{x \mid x[/tex] is the set of parallelograms [tex]\}[/tex] [tex]T =\{x \mid x[/tex] is the set of triangles [tex]\}[/tex] [tex]I =\{x \mid x[/tex] is the set of isosceles triangles [tex]\}[/tex] [tex]E =\{x \mid x[/tex] is the set of equilateral triangles [tex]\}[/tex] [tex]S =\{x \mid x[/tex] is the set of scalene triangles [tex]\}[/tex] Which statements are correct? Check all that apply. A. T is a subset of P. B. E is a subset of I. C. S is a subset of T. D. [tex]R \subset P[/tex]

📝 Answered - The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 18 inches. What is the height of the triangular base of the pyramid? A. [tex]$18 \sqrt{3} \text{ in}$[/tex] B. [tex]$18 \sqrt{2} \text{ in}$[/tex] C. [tex]$9 \sqrt{3} \text{ in}$[/tex] D. [tex]$9 \sqrt{2} \text{ in}$[/tex]

📝 Answered - Select the correct answer. Which value of $n$ makes the equation true? $6 n-2(4 n+7)+4=-2$ A. -6 B. -4 C. 4 D. 6

📝 Answered - The distance traveled (in meters) by a frog is modeled by the equation d = 0.2t where d is the distance traveled in meters and t is the time in minutes. Find the distance traveled in 25 minutes. A. 50 meters B. 125 meters C. none of these D. 5 meters

📝 Answered - What is the solution of $\sqrt{-4 x}=100$? A. $x=-2500$ B. $x=-50$ C. $x=-2.5$ D. no solution

📝 Answered - $q(x)=-4 \cdot 10^x$

📝 Answered - A manufacturer offers a $35/15$ chain discount if the invoice subtotal is above $[tex]$1,000$[/tex]. If the list price is $[tex]$45$[/tex] per item, what is the total price of the first invoice that activates the chain discount? Round to the nearest cent.

📝 Answered - A researcher in physiology has decided that a good mathematical model for the number of impulses fired after a nerve has been stimulated is given by $y=-x^2+50 x-60$, where $y$ is the number of responses per millisecond and $x$ is the number of milliseconds since the nerve was stimulated. When will the maximum firing rate be reached?