Questions in mathematics

Questions in mathematics

📝 Answered - $P(x)=x^4-2 x^3-3 x^2+4$ What is the remainder when $P(x)$ is divided by $(x-3)$?

📝 Answered - 0.5 \div \square=0.05

📝 Answered - Solve for $x$. $5^x=23$ A. $x = \square$ (Do not round until the final answer. Then round to four decimal places as needed. Use a comma to separate answers as needed.) B. There is no solution.

📝 Answered - Which composition of similarity transformations maps polygon [tex]ABCD[/tex] to polygon [tex]A^{\prime} B^{\prime} C^{\prime} D^{\prime}[/tex]? A. a dilation with a scale factor of [tex]\frac{1}{4}[/tex] and then a rotation B. a dilation with a scale factor of [tex]\frac{1}{4}[/tex] and then a translation C. a dilation with a scale factor of 4 and then a rotation D. a dilation with a scale factor of 4 and then a translation

📝 Answered - Multiply and simplify: $5 x^3\left(6 x^2+2 x-4\right)$

📝 Answered - You work for 5 hours and made $51 1/2 (or $51.50). How much money did you make each hour if you were paid the same amount each hour? A. $92/5 or $9.40 B. $8 \frac{3}{10} or $8.30 C. $10^3 / 10 or $10.30 D. $61 / 2 or $6.50

📝 Answered - An ellipse is represented by the equation: \[(y - 3)^2 / 169 + (x + 6)^2 / 144 = 1\] Each directrix of this ellipse is a ________________________ from the center on the major axis. Options: (A) horizontal line that is 5 units (B) vertical line that is 5 units (C) horizontal line that is 33.8 units (D) vertical line that is 33.8 units

📝 Answered - A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which expression, when evaluated, results in the correct units and numerical value? $\frac{4 cm}{1 \text { year }} \times \frac{10 mm}{1 cm} \times \frac{1 \text { year }}{365 \text { days }}$ $\frac{4 cm}{1 \text { year }} \times \frac{1 mm}{10 cm} \times \frac{1 \text { year }}{365 \text { days }}$ $\frac{4 cm}{1 \text { year }} \times \frac{1 cm}{10 mm} \times \frac{365 \text { days }}{1 \text { year }}$ $\frac{4 cm}{1 \text { year }} \times \frac{10 mm}{1 cm} \times \frac{365 \text { days }}{1 \text { year }}$

📝 Answered - Find $f(g(x))$ and $g(f(x))$ and determine whether the pair of functions $f$ and $g$ are inverses of each other. $f(x)=3 x+6 \text { and } g(x)=\frac{x-6}{3}$ a. $f(g(x))=\frac{3}{3}$ (Simplify your answer.) b. $g(f(x))=x$ (Simplify your answer.) c. $f$ and $g$ are inverses of each other. $f$ and $g$ are not inverses of each other.

📝 Answered - The figure shows a rhombus whose sides are 29.4 cm long. The angle is 23.6°. Find the distance from A to B. Answer in units of cm.