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Questions in mathematics

📝 Answered - Find the product of the following whole numbers using suitable properties. a. 459 x 236 + 459 x 123 b. 218 x 136 - 208 x 136 c. 438 x 1003 d. 8 x 392 x 25

📝 Answered - Consider w1 = -3i and w2 = -2. What is the result of subtracting w2 from w1?

📝 Answered - Solve the equation \( \frac{7y}{5} = y - 4 \) for \( y \).

📝 Answered - Solve this system of equations using the substitution method. [tex] \begin{array}{c} y=-2 x \\ -4 x-20=y \\ ([?], \quad) \end{array} [/tex]

📝 Answered - Solve the literal equation below for $a$. $g=\frac{1+2 a}{a}$ A. $a=\frac{1}{g-2}$ B. $a=\frac{g-1}{2}$ C. $a=\frac{1}{2} g-1$ D. $a=\frac{3}{g}$

📝 Answered - Find the terminal points [tex]P(x, y)[/tex] on the unit circle determined by the given value [tex]t[/tex] (a) [tex]t=\frac{-4 \pi}{3}[/tex]. (b) [tex]t=\frac{8 \pi}{3}[/tex]. (c) [tex]t=\frac{11 \pi}{6}[/tex]. (d) [tex]t=\frac{3 \pi}{2}[/tex]. Suppose [tex](\frac{5}{13},-\frac{12}{13})[/tex] is the terminal point, on the unit circle, determined by [tex]t[/tex]. Find the terminal point determined by each of the following: (a) [tex]-t+\frac{\pi}{2}[/tex] (b) [tex]t+\pi[/tex] (c) [tex]2 \pi-t[/tex] (d) [tex]t-\frac{3 \pi}{2}[/tex] Find the reference number [tex]\bar{t}[/tex] for each of the following values of [tex]t[/tex]. (a) [tex]t=\frac{-11 \pi}{9}[/tex] (b) [tex]t=\frac{11 \pi}{3}[/tex] (c) [tex]t=\frac{-5 \pi}{6}[/tex] (d) [tex]t=\frac{17 \pi}{4}[/tex]

📝 Answered - Find two numbers that have a sum of 1 and a product of -12.

📝 Answered - What is $\frac{1}{10}$ of an income of $97.50? A. $0.98 B. $9,750.00 C. $9.75 D. $975.00

📝 Answered - Determine the end behavior, plot the $y$-intercept, find and plot all real zeros, and plot at least one test value between each intercept. $f(x)=x^3-x^2-16 x-20$ Choose the correct end behavior for $f ( x )$. A. The ends of the graph will extend in opposite directions, because the degree of the polynomial is odd. B. The ends of the graph will extend in the same direction, because the degree of the polynomial is odd. C. The ends of the graph will extend in opposite directions, because the degree of the polynomial is even. D. The ends of the graph will extend in the same direction, because the degree of the polynomial is even.

📝 Answered - Mr. Shaw graphs the function [tex]f(x)=-5 x+2[/tex] for his class. The line contains the point [tex](-2,12)[/tex]. What is the point-slope form of the equation of the line that he graphed? A. [tex]y-12=-5(x+2)[/tex] B. [tex]y-12=2(x+2)[/tex] C. [tex]y+12=2(x-2)[/tex] D. [tex]y+12=-5(x-2)[/tex]