Questions in mathematics

Questions in mathematics

📝 Answered - What value of $x$ is in the solution set of the inequality $-2(3 x+2)>-8 x+6 ?$

📝 Answered - Share 30000 bags of 20 kg rice in the ratio [tex]$2: 3: 4: 6$[/tex] among Villages [tex]$A, B, C$[/tex] and [tex]$D$[/tex] in that order. How many bags of 20 kg rice will Villages [tex]$B$[/tex] and [tex]$C$[/tex] get?

📝 Answered - If f(x) = x²-6x+8, what is the value of f(7) - f(3)? A) -1 B) 0 C) 14 D) 15 E) 16

📝 Answered - Solve $3 x-2 y=10$ and $x+3 y=7$.

📝 Answered - Solve the polynomial equation in the complex numbers. [tex]12 x^4+32 x^3-x^2-7 x-1=0[/tex] Find the complex zeros of [tex]f[/tex]. [tex]x=[/tex] (Type an exact answer, using radicals as needed. Express complex numbers in terms of [tex]i[/tex]. Use a comma to separate answers as needed.)

📝 Answered - Adrian has a bag full of pebbles that all look about the same. He weighs some of the pebbles and finds that their weights are normally distributed, with a mean of 2.6 grams and a standard deviation of 0.4 grams. What percentage of the pebbles weigh more than 2.1 grams? Round to the nearest whole percent. [tex] \square [/tex] % of the pebbles weigh more than 2.1 grams.

📝 Answered - Find the fraction, in lowest terms, represented by the repeating decimal 0.15

📝 Answered - Which expression is equivalent to $\sqrt[3]{\frac{75 a^7 b^4}{40 a^{13} c^9}}$ ? Assume $a \neq 0$ and $c \neq 0$ A. $\frac{a^3 b\left(\sqrt[3]{15 b^2}\right)}{2 c^3}$ B. $\frac{b(\sqrt[3]{15 b})}{2 a^2 c^3}$ C. $\frac{a^3 b\left(\sqrt[3]{15 b^2}\right)}{6 c^3}$

📝 Answered - Which graph represents the following piecewise defined function? [tex]g(x)=\left\{\begin{array}{cl} \frac{1}{2} x+3, & x\ \textless \ -2 \\ 2, & -2 \leq x \leq 3 \\ 2 x-3, & x\ \textgreater \ 3 \end{array}\right.[/tex]

📝 Answered - b. $3 x+2-4 x=7 x-2$