Questions in mathematics

Questions in mathematics

📝 Answered - At which [tex]$x$[/tex]-values are the output values of the floor function [tex]$g(x)=\lfloor x\rfloor$[/tex] and the ceiling function [tex]$h(x)=\lceil x\rceil$[/tex] equal? Check all that apply. -8 -5.2 -1.7 0 2.4

📝 Answered - How many pastries are needed for 50 guests if they take a long break?

📝 Answered - Estimate the quotient: [tex]$6.31 \times 10^5+2.085 \times 10^3$[/tex]

📝 Answered - $p^2-10xp+16x^2-q^2+6xq

📝 Answered - What is the vertex of the function [tex]f(x)=\frac{1}{2} x^2+3 x+\frac{3}{2}[/tex]?

📝 Answered - What is true if a quadrilateral is circumscribed by a circle? A. Adjacent angles in the quadrilateral are supplementary. B. Opposite angles in the quadrilateral are supplementary. C. Opposite angles in the quadrilateral are complementary. D. Adjacent angles in the quadrilateral are complementary.

📝 Answered - Find the slope of the line that passes through the points $(2,-5)$ and $(7,1)$.

📝 Answered - The science club is comparing options for purchasing new T-shirts. One company charges a [tex]$100[/tex] base fee plus an additional [tex]$3.50[/tex] per shirt. A second company charges a [tex]$120[/tex] base fee but only an additional [tex]$2.50[/tex] per shirt. The given expression represents the difference of the two companies' average cost per shirt. [tex]\frac{3.5 x+100}{2}-\frac{2.5 x+120}{2}[/tex] Which expression is equivalent to the expression representing this situation? A. [tex]$x-120$[/tex] B. [tex]$6 x+220$[/tex] C. [tex]$\frac{z+220}{z}$[/tex] D. [tex]$\frac{z-20}{z}$[/tex]

📝 Answered - A weight is given as 3 kg (to the nearest kg). What is the lowest possible value of the actual weight?

📝 Answered - Simplify $\left(\frac{3}{5}\right)^2$