Questions in mathematics

Questions in mathematics

📝 Answered - Write a general form of an explicit function for the $n$th term in terms of $a$ and $d$. Use the form below to write your function. $f(n) =$

📝 Answered - Determine the vertex form of g(x) = x^2 + 2x – 1. Which graph represents g(x)?

📝 Answered - How does the graph of [tex]y=\sqrt{x}+2[/tex] compare to the graph of the parent square root function? A. The graph is a horizontal shift of the parent function 2 units right. B. The graph is a horizontal shift of the parent function 2 units left. C. The graph is a vertical shift of the parent function 2 units up. D. The graph is a vertical shift of the parent function 2 units down.

📝 Answered - Find the value of the expression: [tex]$\frac{7^2}{2^7}$[/tex]

📝 Answered - Given the table 'Characteristics of Homes For Sale on Katrina's Street': | Bedrooms | Acres of land | Sale price | Appraised value | Property tax | | -------- | ------------- | ---------- | --------------- | ------------ | | 2 | 0.17 | $230,000 | $200,000 | $1,220 | | 2 | 0.20 | $210,000 | $220,000 | $1,232 | | 3 | 0.20 | $275,000 | $250,000 | $1,400 | | 4 | 0.24 | $275,000 | $275,000 | $1,540 | | 4 | 0.52 | $360,000 | $310,000 | $1,736 | | 4 | 0.75 | $350,000 | $320,000 | $1,792 | | 5 | 1.23 | $375,000 | $350,000 | $1,960 | Which relationship describes a function? A. (bedrooms, sale price) B. (acres of land, appraised value) C. (sale price, bedrooms) D. (appraised value, property tax)

📝 Answered - Order the following fractions from least to greatest: [tex]$\frac{7}{4}, \frac{3}{4}, 2 \frac{1}{8}, \frac{2}{3}, 2 \frac{2}{4}$[/tex]

📝 Answered - Which best explains why the expression $\pm \sqrt{b^2-4 a c}$ cannot be rewritten as $b \pm \sqrt{-4 a c}$ during the next step? A. Negative values, like $-4 a c$, do not have a square root. B. The $\pm$ symbol prevents the square root from being evaluated. C. The square root of terms separated by addition and subtraction cannot be calculated individually. D. The entire term $b^2-4 a c$ must be divided by $2 a$ before its square root can be determined.

📝 Answered - To rationalize the denominator of $\frac{-\sqrt{7}}{4 \sqrt{5}}$, what value should the numerator and denominator be multiplied by? a) $-\sqrt{7}$ b) $\sqrt{5}$ c) $\sqrt{7}$ d) $4-\sqrt{5}$

📝 Answered - Determine if the expression $-a-10 a^2 \sqrt{5}+8 \sqrt{a}$ is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.

📝 Answered - Divide the polynomials. The form of your answer should either be $p(x)$ or $p(x)+\frac{k}{x-6}$ where $p(x)$ is a polynomial and $k$ is an integer. $\frac{2 x^3-13 x^2+9 x-16}{x-6}=$