Questions in mathematics

Questions in mathematics

📝 Answered - Lucy needs to buy some organic apples, and her grocery store is having a sale on them. If she buys 3 or fewer pounds of apples, the price will be $1.50 per pound. If she buys more than 3 pounds of apples, the price is $1.10 per pound. What is the domain of the piecewise-defined function, where $x$ represents the number of pounds of apples? A. {x | x ≥ 0} B. {x | x is a real number} C. {x | 0 ≤ x ≤ 3} D. {x | x ≥ 3}

📝 Answered - Let [tex]$\log _b A=3 ; \log _b C=2 ; \log _b D=5$[/tex] What is the value of [tex]$\log _b\left(\frac{A^5 C^2}{D^6}\right)^{\text {? }}$[/tex] A. -11 B. 2 C. -15,378 D. There isn't enough information to answer the question.

📝 Answered - Simplify: [tex]$27_6-5^2 / 3+4^3 / 4$[/tex] A. [tex]$1 / 4$[/tex] B. [tex]$1 %$[/tex] C. [tex]$1 \frac{1}{4} / 4$[/tex] D. [tex]$1^3 / 4$[/tex]

📝 Answered - Factor completely $2 x^2+4 x-2$. A. $2\left(x^2+2 x-1\right)$ B. $2\left(x^2+2\right)$ C. $2 x\left(x^2+2 x-1\right)$ D. Prime

📝 Answered - If $y$ varies directly as $x$, and $y$ is 18 when $x$ is 5, which expression can be used to find the value of $y$ when $x$ is 11? A. $y=\frac{5}{18}(11)$ B. $y=\frac{18}{5}(11)$ C. $y=\frac{(x+5)(5)}{11}$ D. $y=\frac{11}{(18)(5)}$

📝 Answered - Consider the data points (–4, –14), (–2, –7), (0, –3), (2, –2), and (6, –6). Which type of function would best model the data set? A. exponential B. linear C. quadratic

📝 Answered - Serina wants to solve the following system of equations in the most efficient way. [tex]$\begin{array}{r} 2 x+3 y=18 \ x+7 y=31 \end{array}$[/tex] She plans to solve for [tex]$x$[/tex] in the first equation as her first step since both 2 and 3 can be divided into 18. Why is Serina mistaken? A. Serina should have solved for [tex]$x$[/tex] in the second equation because it has a coefficient of 1. B. Serina should have solved for [tex]$y$[/tex] in the first equation because dividing by 3 instead of by 2 would give a smaller number in the solution. C. Serina should have solved for [tex]$y$[/tex] in the second equation because it has the largest coefficient. D. Serina should have solved for [tex]$y$[/tex] in the first equation because the division step will be easier since 18 is divisible by 3.

📝 Answered - When the value of the correlation coefficient (r) is equal to 0.5, what does this mean for the relationship between two variables? A. Weak negative relationship B. Perfect positive relationship C. No relationship D. Fairly strong positive relationship

📝 Answered - Ken had 405 stickers. He gave his stickers equally to some friends. He gave the stickers to fewer than 10 friends. He had no stickers left. How many friends could he give his stickers to?

📝 Answered - On simplifying [tex]8^3 \times 2^4[/tex], which of the following is correct? (a) [tex]16^7[/tex] (b) [tex]2^{13}[/tex] (c) [tex]2^{10}[/tex] (d) [tex]8^4[/tex]