Questions in mathematics

Questions in mathematics

📝 Answered - Find $a, b, c$, and $d$ such that the cubic function $f(x)=a x^3+b x^2+c x+d$ satisfies the given conditions: Relative maximum: $(3,9)$ Relative minimum: $(5,7)$ Inflection point: $(4,8)$ $a=$ $b=$ $c=$ $d=$

📝 Answered - Consider the following equation: [tex]f(x)=\frac{x^2+4}{4 x^2-4 x-8}[/tex] Name the vertical asymptote(s).

📝 Answered - A concert venue sells student and adult tickets, modeled by the system of equations $5 x+10 y=1000$ and $x+y=200$. What does the equation $5 x+10 y=1000$ represent? a. The total cost of hosting the concert b. The total number of attendees at the concert c. The total number of tickets sold d. The total revenue from student and adult ticket sales

📝 Answered - What is the vertex of the graph of $g(x)=|x-8|+6$? A. $(6,8)$ B. $(8,6)$ C. $(6,-8)$ D. $(-8,6)$

📝 Answered - To convert a distance of 12,000 feet to miles, which ratio could you multiply by? A. [tex]$\frac{1 \text { mile }}{5280 \text { feet }}$[/tex] B. [tex]$\frac{1 \text { foot }}{5280 \text { miles }}$[/tex] C. [tex]$\frac{5280 \text { feet }}{1 \text { mile }}$[/tex] D. [tex]$\frac{12 \text { inches }}{1 \text { foot }}$[/tex]

📝 Answered - What is the solution of [tex]$3 x+5=2 x-7 ?$[/tex] A. the [tex]$x$[/tex]-coordinates of the intersection point of the lines [tex]$y=3 x+5$[/tex] and [tex]$y=2 x-7$[/tex] B. the [tex]$x$[/tex]-coordinates of the [tex]$x$[/tex]-intercepts of the lines [tex]$y=3 x+5$[/tex] and [tex]$y=2 x-7$[/tex] C. the [tex]$y$[/tex]-coordinate of the intersection point of the lines [tex]$y=3 x+5$[/tex] and [tex]$y=2 x-7$[/tex] D. the [tex]$y$[/tex]-coordinates of the [tex]$y$[/tex]-intercepts of the lines [tex]$y=3 x+5$[/tex] and [tex]$y=2 x+7$[/tex]

📝 Answered - Consider the following equation: $4 x-y=6$ Step 1 of 2: Determine if the given ordered pair, $(-1,-10)$, satisfies the given equation.

📝 Answered - Fill in the box $\frac{3}{8}=\frac{\square}{48}$ to make the proportion true.

📝 Answered - A parallelogram has side lengths of 4 and 6 and an angle of measure [tex]$55^{\circ}$[/tex]. Law of cosines: [tex]$a^2=b^2+c^2-2 b c \cos (A)$[/tex] What is [tex]$x$[/tex], the length of the diagonal, to the nearest whole number?

📝 Answered - If she sold 20 Ropani of her land, find the remaining land in Ropani? (1 Bigha = 13.31 Ropani).