Questions in mathematics

Questions in mathematics

[Free] Tim explained a function in words and Paul wrote an equation. Tim: The amount of money in a savings account increases at a rate of $225 per month. After eight months, the bank account has $4,580 in it. Paul: [tex]y-1,400=56(x+26)[/tex] Whose function has the smaller [tex]y[/tex]-intercept? A. Tim's with a [tex]y[/tex]-intercept of $2,700 B. Paul's with a [tex]y[/tex]-intercept of $2,856 C. Paul's with a [tex]y[/tex]-intercept of $2,800 D. Tim's with a [tex]y[/tex]-intercept of $2,780

[Free] The function that represents the average cost per person, including transportation, to a museum is $y=\frac{25+8x}{x}$. Which statement is true about the graph of the function? A. The horizontal asymptote $y=0$ means the cost approaches zero as the number of people increases. B. The horizontal asymptote $y=8$ means the average cost approaches $8 as the number of people increases. C. The vertical asymptote $x=0$ means the cost approaches zero as the number of people increases. D. The vertical asymptote $x=-8$ means the cost approaches zero as the number of people increases.

[Free] Ms. Rutherford's house is known for being the most modern house in the neighborhood. She is buying new tinted glass for the 4 same-size trapezoidal windows on the front of her house. Each window has a bottom edge that is 2 feet long, a top edge that is 3 feet long, and a height of 4 feet. The glass costs $45 per square foot. How much will Ms. Rutherford pay for the new tinted glass in total?

[Free] Simplify the expression completely. $(-7)^2-132 \div(17-5)$

[Free] Solve the following system of equations: [tex]\begin{array}{l} x+2 y-6=z \\ 3 y-2 z=7 \\ 4+3 x=2 y-5 z \end{array}[/tex] A. [tex]x=2, y=1, z=2[/tex] B. [tex]x=0, y=5, z=4[/tex] C. [tex]x=\frac{2}{3}, y=\frac{3}{2}, z=-\frac{23}{6}[/tex] D. [tex]x=\frac{7}{4}, y=\frac{3}{2}, z=-\frac{5}{4}[/tex]

[Free] Which summation is equal to the following? [tex]$\sum_{n=37}^{75} 3 n^2$[/tex] A. [tex]$3 \sum_{n=37}^{75} n^2$[/tex] B. [tex]$3 n \sum_{n=37}^{75} n$[/tex] C. [tex]$\sum_{n=37}^{75} 3+\sum_{n=37}^{75} n^2$[/tex] D. [tex]$\sum_{n=37}^{75} 3 \times \sum_{n=37}^{75} n^2$[/tex]

[Free] What is the constant of variation, $k$, of the direct variation, $y=k x$, through $(-3,2)$? A. $k=-\frac{3}{2}$ B. $k=-\frac{2}{3}$ C. $k=\frac{2}{3}$ D. $k=\frac{3}{2}

[Free] Which compound inequality can be used to solve the inequality $|3 x+2|>7$? A. $-7<3 x+2>7$ B. $-7>3 x+2>7$ C. $3 x+2>-7$ or $3 x+2>7$ D. $3 x+2<-7$ or $3 x+2>7$

[Free] The table shows the number of calories in four meals and the cost of each meal. Cost of Meal and Number of Calories | Number of calories in the meal | Cost of the meal | | :----------------------------- | :--------------- | | 550 | $12 | | 1,250 | $11 | | 780 | $13 | | 650 | $10 | Which best describes the strength of the model? A. a weak positive correlation B. a strong positive correlation C. a weak negative correlation D. a strong negative correlation

[Free] Solve for $t$. $e^{-0.24 t}=0.59$