Questions in mathematics

Questions in mathematics

📝 Answered - $\begin{array}{l} -21,-14,-7,0,7, \ldots \ a_{18}=[?] \ \text { Hint: } a_n=a_1+(n-1) d \end{array}$

📝 Answered - Select the correct answer. Which is the simplified form of the expression $3\left(\frac{7}{5} x+4\right)-2\left(\frac{3}{2}-\frac{5}{4} x\right) ?$ A. $-\frac{39}{5} x-\frac{11}{2}$ B. $\frac{67}{10} x+9$ C. $\frac{3}{10} x+\frac{5}{2}$ D. $15+\frac{76}{10} x$

📝 Answered - The equation of a linear function in point-slope form is [tex]$y-y_1=m\left(x-x_1\right)$[/tex]. Harold correctly wrote the equation [tex]$y=3(x-7)$[/tex] using a point and the slope. Which point did Harold use? A. (7,3) B. (0,7) C. (7,0) D. (3,7)

📝 Answered - What is the solution for $x$ in the equation? $-3 x+7 x-8=34+9 x-2$ A. $x=-\frac{1}{8}$ B. $x=8$ C. $x=\frac{1}{8}$ D. $x=-8$

📝 Answered - Which of the following is an odd function? [tex]f(x)=x^3+5 x^2+x[/tex] [tex]f(x)=\sqrt{x}[/tex] [tex]f(x)=x^2+x[/tex] [tex]f(x)=-x[/tex]

📝 Answered - $T(d)$ is a function that relates the number of tickets sold for a movie to the number of days since the movie was released. The average rate of change in $T(d)$ for the interval $d=4$ and $d=10$ is 0. Which statement must be true? A. The same number of tickets was sold on the fourth day and tenth day. B. No tickets were sold on the fourth day and tenth day. C. Fewer tickets were sold on the fourth day than on the tenth day. D. More tickets were sold on the fourth day than on the tenth day.

📝 Answered - A projectile is fired straight up from ground level with an initial velocity of $112 ft / s$. Its height, $h$, above the ground after $t$ seconds is given by $h=-16 t^2+112 t$. What is the interval of time during which the projectile's height exceeds 192 feet? A. $3 < t < 4$ B. $t<3$ or $t>4$ C. $t>4$ D. $3<t<4$

📝 Answered - The general equation for depreciation is given by [tex]y=A(1-r)^t[/tex], where [tex]y=[/tex] current value, [tex]A=[/tex] original cost, [tex]r=[/tex] rate of depreciation, and [tex]t=[/tex] time, in years. A car was purchased 6 years ago for $25,000. If the annual depreciation rate is 11%, which equation can be used to determine the approximate current value of the car? [tex]y=25,000(0.89)^6[/tex] [tex]y=(25,000 \cdot 0.11)^6[/tex] [tex]y=(25,000 \cdot 0.89)^6[/tex]

📝 Answered - The radius of a wheel is 14 m. How many kilometers will it travel if it turns 500 times?

📝 Answered - Select the correct answer. Find the value of [tex]g(7)[/tex] for the function below. [tex]g(x)=\frac{7}{8} x-\frac{1}{2}[/tex] A. [tex]\frac{53}{8}[/tex] B. [tex]\frac{45}{8}[/tex] C. [tex]\frac{49}{8}[/tex] D. [tex]\frac{60}{7}[/tex]