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Questions in mathematics

📝 Answered - Determine whether the following equation defines y as a function of x. [tex]x^2+y=16[/tex] Does the equation [tex]x^2+y=16[/tex] define [tex]y[/tex] as a function of [tex]x[/tex]? Yes No

📝 Answered - Find: $(6 m^5+3-m^3-4 m)-(-m^5+2 m^3-4 m+6)$ 1. Write subtraction of a polynomial expression as addition of the additive inverse. $(6 m^5+3-m^3-4 m)+(m^5-2 m^3+4 m-6)$ 2. Rewrite terms that are subtracted as addition of the opposite. $6 m^5+3+(-m^3)+(-4 m)+m^5+(-2 m^3)+4 m+(-6)$ 3. Group like terms. $[6 m^5+m^5]+[3+(-6)]+[(-m^3)+(-2 m^3)]+[(-4 m)+4 m]$ 4. Combine like terms. 5. Write the resulting polynomial in standard form. $\square$ $m^5$ $\square$ $m^3+$ $\square$ $m-3

📝 Answered - Subtract 195876 from the sum of 138674 and 96578.

📝 Answered - An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

📝 Answered - Donna bought a candy bar for $1.50. She paid with nickels and dimes. She used 21 coins in all. How many nickels ($n$) and how many dimes ($d$) did she use? [tex]\begin{array}{c} n+d=21 \\.05 n+.10 d=1.50\end{array}[/tex] [?] nickels [?] dimes

📝 Answered - Select the correct answer from each drop-down menu. Let [tex]$c(g)$[/tex] be the total cost, including shoe rental, for bowling [tex]$g$[/tex] games at Pin Town Lanes. So, [tex]$c(6)=$[/tex] . This means that [tex]$c(g)=5 g+3$[/tex] , the

📝 Answered - What is the value of [tex]$\cos \left(150^{\circ}\right) ?[/tex] A. [tex]$\frac{\sqrt{3}}{2}[/tex] B. [tex]$-\frac{\sqrt{3}}{2}[/tex] C. [tex]$\frac{1}{2}[/tex] D. [tex]$-\frac{1}{2}[/tex]

📝 Answered - From 1980 through 1990, the population of Country X increased by [tex]$100 \%$[/tex]. From 1990 to 2000, the population increased by [tex]$50 \%$[/tex]. What was the combined increase for the period 1980-2000? (A) [tex]$150 \%$[/tex] (B) [tex]$166 \frac{2}{3} \%$[/tex] (C) [tex]$175 \%$[/tex] (D) [tex]$200 \%$[/tex]

📝 Answered - For [tex]$f^{\prime}(x)=3 x+1$[/tex] and [tex]$g(x)=x^2-6$[/tex], find [tex]$(f-g)(x)$[/tex]. A. [tex]$-x^2+3 x+7$[/tex] B. [tex]$-x^2+3 x-5$[/tex] C. [tex]$x^2-3 x=7$[/tex] D. [tex]$3 x^2-17$[/tex]

📝 Answered - Convert the decimal $0 . \overline{423}$ to a fraction.