Questions in mathematics

Questions in mathematics

[Done] Expand the expression: (2y - 1)(4y - 3) What is the result?

[Done] How do you factor [tex]a^2 + 11a + 18[/tex]?

[Done] Determine if the given pairs of lines are parallel, perpendicular, or intersecting. 1. \( Y = \frac{7}{3}x - 8 \) and \( Y = \frac{7}{3}x + 3 \) 2. \( Y = 2x - 1 \) and \( x + 2y = 6 \) 3. \( Y = \frac{5}{2}x - 17 \) and \( Y = -\frac{5}{2}x - 1 \) 4. \( Y = \frac{5}{2}x - 4 \) and \( 5x + 2y = 6 \) 5. \( Y = -\frac{2}{3}x + 12 \) and \( Y = \frac{3}{2}x + 3 \) 6. \( Y = \frac{1}{3}x - 13 \) and \( Y = 3x + 2 \) 7. \( Y = -4x + 5 \) and \( x + 4y = -16 \) 8. \( Y = \frac{2}{3}x + 3 \) and \( 2x + 3y = 21 \)

[Done] What is the relationship between the following? 1. 47 subtract 3 2. 59 subtract 3

[Done] The average number of customers that visited a particular store during the past year is 160 per day, with a standard deviation of 25 customers per day. A random sample of 64 days is chosen from this population. What is the standard deviation of the sample mean?

[Done] What is another name for a regular quadrilateral?

[Done] In a survey, 44% of the people said they voted for Mr. Johnson, while [tex]\frac{2}{5}[/tex] of the people said they voted for Ms. Smith. Which group is larger? Explain.

[Done] Find the slope, if it exists, of the line containing the pair of points \((-8, -2)\) and \((-11, -6)\).

[Done] Find the slope of a line perpendicular to the line whose equation is [tex]3y + 2x = 6[/tex].

[Done] For non-zero denominators, simplify: \[ \frac{3a^3-75a}{a(a+5)(a+5)} \]