Questions in mathematics

Questions in mathematics

📝 Answered - Which equation has the least steep graph? A. $y=-\frac{1}{2} x-3$ B. $y=-6 x+1$ C. $y=2 x-7$ D. $y=\frac{1}{4} x+9$

📝 Answered - Consider the function $f(x)=x^2+2 x-15$. What are the $x$-intercepts of the function? Left-most $x$-intercept: ($\square$, 0) Right-most $x$-intercept: ($\square$, 0)

📝 Answered - Complete the point-slope equation of the line through $(-8,-1)$ and $(-6,5)$. Use exact numbers. [tex]y-5=[/tex] $\square$

📝 Answered - Which expression is equivalent to $\left(x^{\frac{4}{3}} x^{\frac{2}{3}}\right)^{\frac{1}{3}} ?$ A. $x^{\frac{2}{9}}$ B. $x^{\frac{2}{3}}$ C. $x^{\frac{8}{27}}$ D. $x^{\frac{7}{3}}$

📝 Answered - A school is selling two types of tickets for a play: student tickets and adult tickets. Student tickets cost $5, and adult tickets cost $10. If 200 tickets are sold and the total revenue is $1,500, what system of equations represents the situation? a. $5x+10y=200, x+y=1500$ b. $10x+5y=1500, x+y=200$ c. $5x+10y=1500, x+y=200$ d. $10x+5y=200, x+y=1500

📝 Answered - The dimensions of an 8-foot by 12-foot bridge support need to be tripled to create a revised bridge design. Which formulas can be used to determine the area of the new frame? Select all that apply. [tex]$3^2=\frac{x}{96}$[/tex] [tex]$A=8 \times 12$[/tex] [tex]$A=(3 \times 8)(3 \times 12)$[/tex] [tex]$3^2=\frac{96}{x}$[/tex]

📝 Answered - Which is the correct 'power of 10' expression of $10,000?$ A. $10^5$ B. $10^2$ C. $10^4$ D. $10^{-4}$

📝 Answered - Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima or local minima, or if the test is inconclusive. [tex]f(x)=\frac{1}{4} x^4-\frac{5}{3} x^3-\frac{25}{2} x^2+125 x[/tex] Identify all the critical points that are local minima by the Second Derivative Test. Select the correct choice below and fill in any answer boxes within your choice. A. [tex]x=[/tex] $\square$ B. There are no critical points that are local minima according to the Second Derivative Test.

📝 Answered - Consider the equation and the following ordered pairs: $(2, y)$ and $(x,-3)$. [tex]4 x-2 y=2[/tex] Step 1 of 2: Compute the missing [tex]x[/tex] and [tex]y[/tex] values so that each ordered pair will satisfy the given equation.

📝 Answered - Dennis invested £1000 for four years into a savings account. He received 5% per annum compound interest. Calculate the total interest he earned over the four years.