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Questions in mathematics

📝 Answered - Consider the following equation: [tex]$4 x-y=5$ Step 1 of 2: Determine the missing coordinate in the ordered pair (0, ?) so that it will satisfy the given equation.

📝 Answered - Jade wants to buy a $200,000 term life insurance policy. She is 34 years old. Using the premium table, what is her annual premium for a 10 year policy? | Age | Annual Life insurance Premium (per S1000 of face value) | |---|---|---|---|---| | | 5-Year Term | | 10-Year Term | | | Male | Female | Male | Female | | 30 | 3.98 | 3.65 | 5.06 | 5.72 | | 31 | 4.08 | 3.75 | 5.13 | 5.79 | | 32 | 4.19 | 3.57 | 6.30 | 5.85 | | 33 | 4.30 | 3.98 | 6.38 | 5.93 | | 34 | 4.42 | 4.10 | 5.45 | 6.01 | | 35 | 4.54 | 4.22 | 5.53 | 6.09 | A. $1,290 B. $1,202 C. $6,010 D. $820

📝 Answered - A parabola has a vertex at the origin. The equation of the directrix of the parabola is [tex]$y=3$[/tex]. What are the coordinates of its focus? A. [tex]$(0,3)$[/tex] B. [tex]$(3,0)$[/tex] C. [tex]$(0,-3)$[/tex] D. [tex]$(-3,0)$[/tex]

📝 Answered - Use synthetic division to decide whether the given number is a solution of the given equation. [tex]$-x^4-3 x^2-x-8 ; x=3$[/tex] A. Yes B. No

📝 Answered - Solve: [tex]$\sqrt{x-1}=\sqrt{x}=\frac{2}{\sqrt{x}}$[/tex]

📝 Answered - Which graph represents the function [tex]y=5 \cdot\left(\frac{1}{3}\right)^x[/tex]?

📝 Answered - Solve for the indicated variable. Express numbers as integers or fractions. [tex]L=\frac{4}{3} A+25 \text { for } A[/tex]

📝 Answered - Use properties to rewrite the given equation. Which equations have the same solution as $2.3 p-10.1=6.5 p-4-0.01 p$ ? Select two options. $2.3 p-10.1=6.4 p-4$ $2.3 p-10.1=6.49 p-4$ $230 p-1010=650 p-400-p$ $23 p-101=65 p-40-p$ $2.3 p-14.1=6.4 p-4$

📝 Answered - Consider this equation. [tex]x+5=4+3[/tex] Which three statements related to the equation are true? A. The solution to the equation is 4. B. The solution to the equation is 7. C. The solution to the equation is 2. D. [tex]x+5=4+3=7-5=2[/tex] E. The value of [tex]x+5[/tex] equals 7. F. [tex]\frac{x+5}{2}=\frac{4+3}{2}[/tex]

📝 Answered - Find the derivative of the given function. [tex]f(x)=\cos x \cot x[/tex] [tex]f^{\prime}(x)=-[?] x \quad \square^2 x+\square x \cot x[/tex]