Questions in mathematics

Questions in mathematics

📝 Answered - Dan is promoted to salary level 2, receives a 2% cost-of-living increase and a 10% merit bonus. What is Dan's new salary?

📝 Answered - Select the correct answer. What is the justification for step 3 in the solution process? [tex]0.8 a-0.1 a=a-2.5[/tex] Step 1: [tex]0.7 a=a-2.5[/tex] Step 2: [tex]-0.3 a=-2.5[/tex] Step 3: [tex]a=8 . \overline{3}[/tex] A. combining like terms B. the subtraction property of equality C. the addition property of equality D. the division property of equality

📝 Answered - Which is equivalent to $\sqrt[5]{1,215}^x$ ? A. $243^x$ B. $1,215^{\frac{1}{5} x}$ C. $1,215^{\frac{1}{5 x}}$ D. $243^{\frac{1}{x}}$

📝 Answered - Which shows the correct substitution of the values $a, b$, and $c$ from the equation $0=-3 x^2-2 x+6$ into the quadratic formula? Quadratic formula: $x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a}$ A. $x=\frac{-(-2) \pm \sqrt{(-2)^2-4(-3)(6)}}{2(-3)}$ B. $x=\frac{-2 \pm \sqrt{2^2-4(-3)(6)}}{2(-3)}$ C. $x=\frac{-(-2) \pm \sqrt{(-2)^2-4(3)(6)}}{2(3)}$ D. $x=\frac{-2 \pm \sqrt{2^2-4(3)(6)}}{2(3)}$

📝 Answered - Which function represents a horizontal compression of an exponential function? [tex]y=2^x[/tex] [tex]y=3 \cdot 2^x[/tex] [tex]y=2^{3 x}[/tex]

📝 Answered - Fill in the blank to write this product as a factorial. [tex]$3 \cdot 2 \cdot 1=[?]!$[/tex]

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

📝 Answered - $1 \frac{3}{4} \div 2 \frac{1}{3} =$

📝 Answered - What is the value of the underlined digit in 3764? A. 7000 B. 70 C. 700 D. 7

📝 Answered - For the following function, briefly describe how the graph can be obtained from the graph of a basic logarithmic function. Then, graph the function and state the domain and the vertical asymptote of the function. [tex]f(x)=\frac{1}{4} \log (x-2)-7[/tex] Describe how the graph of [tex]f(x)[/tex] can be obtained from the graph of a basic logarithmic function. Shift the graph of [tex]y=\log x[/tex] [$\square$] [$\square$] unit(s), [$\square$] unit(s) [$\square$] and [$\square$] Use the graphing tool to graph the equation. Click to enlarge