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Questions in mathematics

📝 Answered - What are the solutions to the absolute value inequality $|x-70| \leq 3$? Remember, the inequality can be written as $-3 \leq x-70 \leq 3$ or as $x-70 \leq 3$ and $x-70 \geq -3$. A. $x \leq 67$ B. $x \leq 73$ C. $67 \leq x \leq 73$ D. $67 \geq x \geq 73$

📝 Answered - Type the correct answer in the box. What trigonometric expression can be used to find the value of [tex]$x$[/tex]? Replace [tex]$a$[/tex] and [tex]$b$[/tex] with the correct values. [tex]a \tan (b)[/tex]

📝 Answered - What is the following quotient? [tex]$\frac{9+\sqrt{2}}{4-\sqrt{7}}$[/tex] [tex]$\frac{9 \sqrt{7}+\sqrt{14}}{-3}$[/tex] [tex]$\frac{36-9 \sqrt{7}+4 \sqrt{2}-\sqrt{14}}{9}$[/tex] [tex]$\frac{36+9 \sqrt{7}+4 \sqrt{2}+\sqrt{14}}{9}$[/tex] [tex]$\frac{79}{9}$[/tex]

📝 Answered - Enter the numerical value only for the problems below: 1423 (military time) = standard time 320 mcg = mg 3.5 cups = ounces 12 lbs, 4 ounces (round to the nearest tenth) = kg

📝 Answered - (1) State whether or not each of the following sets are equal, equivalent, or infinite. (a) X = {3, 6, 9, ...} (b) A = {2, 4, 6} and {4, 6, 2} (c) P = {l, m, n} and {1, 5, 9} (2) Simplify: (a) -7x × 2y (b) -18x(-3) (c) 7y - 8y

📝 Answered - In \(\triangle ABC\), \(D\) is a point on the side of \(BC\) such that \(AD = BD = CD\). If \(\angle BCA = 48^{\circ}\), then the size of \(\angle BAC\) is ____.

📝 Answered - Given $h(x)=-x-4$, find $h(3)$.

📝 Answered - The coefficient of [tex]x^{-3}[/tex] in the expansion of [tex]\left(x-\frac{a}{x^2}\right)^9[/tex] is [tex]\frac{14}{9}[/tex]. (i) Find the possible values of [tex]a[/tex]. (ii) If [tex]a\ \textgreater \ 0[/tex], find the term independent of [tex]x[/tex]. (iii) Hence, for [tex]a\ \textgreater \ 0[/tex], find the term which is independent of [tex]x[/tex] in the expansion of [tex]\left(1-7 x^3\right)\left(x-\frac{a}{x^2}\right)^9[/tex].

📝 Answered - What is the inverse of the function [tex]f(x)=\frac{1}{4} x-12[/tex]? A. [tex]h(x)=48 x-4[/tex] B. [tex]h(x)=48 x+4[/tex] C. [tex]h(x)=4 x-48[/tex] D. [tex]h(x)=4 x+48[/tex]

📝 Answered - In the following exercise, find the coordinates of the vertex. [tex]f(x)=3(x-1)^2+2[/tex] The vertex is $\square$. (Type an ordered pair.)