Questions in mathematics

Questions in mathematics

[Free] Thirty workers working eight hours a day take six days to complete a certain job. How many days would fifty such workers working for six hours a day take to complete the same job?

[Free] Select the correct answer from each drop-down menu. Consider this expression: [tex]$-3 x^2-24 x-36$[/tex] What expression is equivalent to the given expression? [tex]$v(x+\square v)(x+\square v)$[/tex]

[Free] Which of these is equal to [tex]$5^0+2^1$[/tex]? A. [tex]$2^0+2^1$[/tex] B. [tex]$6^0-3^0$[/tex] C. [tex]$2^0+1^1$[/tex] D. [tex]$6^0-6^1$[/tex]

[Free] Which linear function represents the line given by the point-slope equation $y+1=-3(x-5)$ ? A. $f(x)=-3 x-6$ B. $f(x)=-3 x-4$ C. $f(x)=-3 x+16$ D. $f(x)=-3 x+14$

[Free] The height, [tex]$h$[/tex], in feet of a ball suspended from a spring as a function of time, [tex]$t$[/tex], in seconds can be modeled by the equation [tex]$h=3 \sin \left(\frac{\pi}{2}(t+2)\right)+5$[/tex]. Which of the following is the graph of this equation?

[Free] Determine which function produces the same graph as [tex]f(x)=\left(8^{\frac{2}{3} x}\right)\left(16^{\frac{1}{2} x}\right)[/tex]. A. [tex]f(x)=4^x[/tex] B. [tex]f(x)=4^{2 x}[/tex] C. [tex]f(x)=8^{3 x}[/tex] D. [tex]f(x)=16^{2 x}[/tex]

[Free] Which equation is $y=9 x^2+9 x-1$ rewritten in vertex form? y=9\left(x+\frac{1}{2}\right)^2-\frac{13}{4} y=9\left(x+\frac{1}{2}\right)^2-1 y=8\left(x+\frac{1}{2}\right)^2+\frac{5}{4} y=9\left(x+\frac{1}{2}\right)^2-\frac{5}{4}

[Free] \frac{-5}{16}+\frac{3}{8}=

[Free] Multiply a) [tex]$2 i^9 * 3 i^4$[/tex] b) [tex]$(2 \sqrt{3})(5 \sqrt{12})$[/tex] c) [tex]$(4+5 i)(2-3 i)$[/tex]

[Free] 14. Find the value of '$m$' if roots are equal of the a. $(1+m) x^2-2(1+3 m) x+(1+8 m)=0$