Questions in mathematics

Questions in mathematics

📝 Answered - A table of values of a linear function is shown below: | x | -1 | 0 | 1 | 2 | |---|---|---|---|---| | y | 4 | -1 | -6 | -11 | Find the $y$-intercept and slope of the function's graph. $y$-intercept: $\square$ slope: $\square$

📝 Answered - Deanna estimated the product of 6.45 and 10.2 below. [tex]$(6.45)(10.2) \approx 6 \times 10=60$[/tex] How does the estimate compare to the exact product? A. The estimate is high because both factors are rounded down. B. The estimate is low because both factors are rounded down. C. The estimate is high because both factors are rounded up. D. The estimate is low because both factors are rounded up.

📝 Answered - Among the entity types, which one had the smallest percentage increase in the number of registered tax-paying entities from Year 1 to Year 2? | | Registered taxpayer (thousands) | |-----------------------|---------------------------------| | | Year 1 | Year 2 | | Small business | 3.6 | 3.8 | | Macro business | 1.1 | 1.4 | | Medium Business | 3.5 | 4.0 |

📝 Answered - $2 x+y=8$ and $x-y=1$. Solve by substitution method.

📝 Answered - The work of two students is shown for the problem: What is the slope of a line that is perpendicular to a line that passes through $(-21,12)$ and $(16,11)$? | Student A | Student B | | :--------------------------------- | :--------------------------------- | | [tex]$m=\frac{11-12}{16-(-21)}=-\frac{1}{37}$[/tex] | [tex]$m=\frac{11-12}{16-(-21)}=-\frac{1}{37}$[/tex] | | The slope of the perpendicular line is 37. | The slope of the perpendicular line is -37. | Part A: Which student has the correct slope of the perpendicular line? (2 points) Part B: Explain how the answer to Part A is correct. (2 points)

📝 Answered - Odd-degree polynomials have at least one x-intercept. True False

📝 Answered - Solve the equation [tex]$3 x^2+13 x-7=0$[/tex] given the answer to two decimal places.

📝 Answered - Find the limit if it exists. [tex]\lim _{n \rightarrow \infty}\left(\frac{1}{n}+1\right)^{3 n}[/tex] A. [tex]$3 e$[/tex] B. [tex]$\frac{1}{e^3}$[/tex] C. [tex]$e^3$[/tex] D. [tex]$\frac{1}{3 e}$[/tex]

📝 Answered - Steve bought 2 plain pizzas and $1 / 4$ of a pepperoni pizza. In all, how much pizza did he buy? A. 2 B. $2 \frac{1}{4}$ C. $1^{1 / 4}$ D. $2 \frac{1}{2}$

📝 Answered - A polynomial function has a root of -7 with multiplicity 2, a root of -1 with multiplicity 1, a root of 2 with multiplicity 4, and a root of 4 with multiplicity 1. If the function has a positive leading coefficient and is of even degree, which statement about the graph is true? A. The graph of the function is positive on $(2,4)$. B. The graph of the function is negative on $(4, \infty)$. C. The graph of the function is positive on $(-\infty,-7)$. D. The graph of the function is negative on $(-7,-1)$.