Questions in mathematics

Questions in mathematics

[Free] Round off to the nearest 10: a) 22 -> 20 b) 35 -> 40 c) 48 -> 50 d) 65 -> 70 e) 72 -> 70 f) 83 -> 80 g) 191 -> 190 h) 348 -> 350 i) 4508 -> 4510 j) 612 -> 610 k) 5421 -> 5420

[Free] A rectangle is drawn on a coordinate grid. Three of its four vertices are located at points $(-1,-2),(-1,4)$, and $(2,-2)$. What is the location of the fourth vertex?

[Free] Which of the following is an even function? [tex]g(x)=(x-1)^2+1[/tex] [tex]g(x)=2 x^2+1[/tex] [tex]g(x)=4 x+2[/tex] [tex]g(x)=2 x[/tex]

[Free] Solve the inequality and graph the solution set. $\frac{x+9}{x-4}>0$

[Free] What is the difference between the place values of 8 and 5 in the number 428356?

[Free] Joshua wants to burn at least 400 calories per day, but no more than 600. He does this by walking and playing basketball. Assuming he burns 4 calories per minute walking, $w$, and 5 calories per minute spent playing basketball, $b$, the situation can be modeled using these inequalities: [tex]\begin{array}{l} 4 w+5 b \geq 400 \\ 4 w+5 b \leq 600 \end{array}[/tex] Which are possible solutions for the number of minutes Joshua can participate in each activity? Check all that apply. A. 40 minutes walking, 40 minutes basketball B. 60 minutes walking, 20 minutes basketball C. 20 minutes walking, 60 minutes basketball D. 50 minutes walking, 50 minutes basketball E. 60 minutes walking, 80 minutes basketball F. 70 minutes walking, 60 minutes basketball

[Free] Determine $\lim _{x \rightarrow-3} \frac{2 x^3-18 x}{x+3}$. a) -36 b) 6 c) -6 d) 36

[Free] If [tex]f(x)=x+3[/tex] and [tex]g(x)=x-3[/tex], (a) [tex]f(g(x))=[/tex] $\square$ (b) [tex]g(f(x))=[/tex] $\square$ (c) Thus [tex]g(x)[/tex] is called an $\square$ function of [tex]f(x)[/tex]

[Free] A direct variation function contains the points $(2,14)$ and $(4,28)$. Which equation represents the function? A. $y=\frac{x}{14}$ B. $y=\frac{x}{7}$ C. $y=7 x$ D. $y=14 x$

[Free] Siera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees Fahrenheit to degrees Celsius using the function [tex]$C(F)=\frac{5}{9}(F-32)$[/tex]. What does [tex]$C(F)$[/tex] represent? A. [tex]$C(F)$[/tex] represents the output of the function [tex]$C$[/tex] in degrees Celsius when the input [tex]$F$[/tex] is in degrees Fahrenheit B. [tex]$C(F)$[/tex] represents the output of the function [tex]$F$[/tex] in degrees Fahrenheit when the input [tex]$C$[/tex] is in degrees Celsius C. [tex]$C(F)$[/tex] represents the output of the function [tex]$C$[/tex] in degrees Fahrenheit when the input [tex]$F$[/tex] is in degrees Celsius D. [tex]$C(F)$[/tex] represents the output of the function [tex]$F$[/tex] in degrees Celsius when the input [tex]$C$[/tex] is in degrees Fahrenheit