Questions in mathematics

Questions in mathematics

📝 Answered - Solve $5(x-4)=2(x+5)$ for $x$

📝 Answered - If $u(x)=-2 x^2+3$ and $v(x)=\frac{1}{x}$, what is the range of $(u \circ v)(x)$? A. $\left(\frac{1}{3}, 0\right)$ B. $(3, \infty)$ C. $(-\infty, 3)$ D. $(-\infty,+\infty)$

📝 Answered - Given that [tex]\overrightarrow{O P}=\binom{4}{3}[/tex] and the point [tex]Q[/tex] is [tex](16,8)[/tex] find [tex]|\overrightarrow{P Q}|[/tex]

📝 Answered - Factor the trinomial completely. [tex]7 x^2+28 x-84[/tex]

📝 Answered - Find the vertical, horizontal, and oblique asymptotes, if any, for the following rational function. [tex]R(x)=\frac{5 x}{x+19}[/tex] Find the vertical asymptotes. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function has one vertical asymptote, [ ]. (Type an equation. Use integers or fractions for any numbers in the equation.) B. The function has two vertical asymptotes. The leftmost asymptote is [ ] and the rightmost asymptote is [ ]. (Type equations. Use integers or fractions for any numbers in the equations:) C. The function has no vertical asymptote.

📝 Answered - Simplify $\sqrt[4]{16} : 2^3$

📝 Answered - Use the Zillow Mortgage Calculator to determine the monthly loan payment for a $345,000 loan at 4.2% for 30 years. Do not include any taxes, insurance, fees or other costs. Round your answer to the NEAREST WHOLE DOLLAR, but do not include a $ sign with your response.

📝 Answered - Doug bought a new car for $25,000. He estimates his car will depreciate, or lose value, at a rate of $20\%$ per year. The value of his car is modeled by the equation [tex]V=P(1-r)^{\prime}[/tex], where [tex]V[/tex] is the value of the car, [tex]P[/tex] is the price he paid, [tex]r[/tex] is the annual rate of depreciation, and [tex]t[/tex] is the number of years he has owned the car. According to the model, what will be the approximate value of his car after [tex]4 \frac{1}{2}[/tex] years? A. $2,500 B. $9,159 C. $22,827 D. $23,791

📝 Answered - 11. 77x⁴ - 72x² - 77 13. x⁴ - 29x² + 100

📝 Answered - Below given are two series I and II. In series I, 'm' is the correct term and in series II, 'n' is the wrong term. Series I: 20, 30, 60, 150, 525, 1575 Series II: 12, 20, 47, 111, 250, 452 Find the value of (3m - 4n).