Questions in mathematics

Questions in mathematics

📝 Answered - Which statement is true about the graphs of the two lines [tex]y=-8 x-\frac{5}{4}[/tex] and [tex]y=\frac{1}{8} x+\frac{4}{5}[/tex] ? A. The lines are perpendicular to each other because -8 and [tex]\frac{1}{8}[/tex] are opposite reciprocals of each other. B. The lines are perpendicular to each other because [tex]-\frac{5}{4}[/tex] and [tex]\frac{4}{5}[/tex] are opposite reciprocals of each other. C. The lines are neither parallel nor perpendicular to each other because -8 and [tex]\frac{1}{8}[/tex] are not opposite reciprocals of each other. D. The lines are neither parallel nor perpendicular to each other because [tex]-\frac{5}{4}[/tex] and [tex]\frac{4}{5}[/tex] are not opposite reciprocals of each other.

📝 Answered - Determine $\lim _{x \rightarrow-2} 3 x+x^2$. a) 6 b) -4 c) 10 d) -2

📝 Answered - Solve the system by substitution. Check your solution. [tex]\begin{array}{l} y=0.8 x+7.2 \ 20 x+32 y=48\end{array}[/tex] a. (8,-6) b. (5,11) c. (-4,4) d. (-10,2)

📝 Answered - Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form. Passing through $(8,3)$ with $x$-intercept 3 Write an equation for the line in point-slope form. y-3=\frac{3}{5}(x-8) (Simplify your answer. Use integers or fractions for any numbers in the equation.) Write an equation for the line in slope-intercept form. $\square$ (Simplify your answer. Use integers or fractions for any numbers in the equation.)

📝 Answered - Select whether the equation has a solution or not. [tex]\sqrt{4 x+5}-\sqrt{x-1}=\sqrt{x+4}[/tex] A. no roots B. roots

📝 Answered - How would the expression $\left(x^2+4\right)\left(y^2+4\right)$ be rewritten using Two Squares? A. $(2 x y+4)^2+(2 x+2 y)^2$ B. $(x y-2)^2-(2 x+2 y)^2$ C. $(x y-4)^2+(2 x+2 y)^2$ D. $(x y-16)^2-(4 x+4 y)^2

📝 Answered - If Tanisha has $1000 to invest at 9% per annum compounded semiannually, how long will it be before she has $1700?

📝 Answered - What is the domain of the function $y=2 \sqrt{x-6}$ ? A. $-\infty < x < \infty$ B. $0 \leq x<\infty$ C. $3 \leq x<\infty$ D. $6 \leq x<\infty$

📝 Answered - A cell phone company surveyed 200 random customers on whether they were satisfied with their phone service. They also noted which service plan each customer had. The results are shown in the frequency table below. Use this table to create a relative frequency table. | | Plan A | Plan B | Total | | :------------- | :----- | :----- | :---- | | Satisfied | 104 | 64 | 168 | | Not Satisfied | 8 | 24 | 32 | | Total | 112 | 88 | 200 | Drag each tile to the correct cell in the table. 100% 4% 16% 84% 56% 44% 52% 12% 32% | | Plan A | Plan B | Total | | :------------- | :----- | :----- | :---- | | Satisfied | | | | | Not satisfied | | | | | Total | | | |

📝 Answered - What is the range of [tex]$y=\log _8 x$[/tex]? A. all real numbers less than 0 B. all real numbers greater than 0 C. all real numbers not equal to 0 D. all real numbers