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Questions in mathematics

[Jawaban] Determine which of the following relations is a function. | x | y | | --- | --- | | -10 | 10 | | -5 | 5 | | 0 | 0 | | 5 | -5 | | 10 | -10 | | x | y | | ----- | --- | | -3 | 2 | | -1 | 1 | | 0 | 2 | | 0 | 1 | | 3 | 4 | | x | y | | ----- | --- | | -8 | -4 | | 5 h-2 | -2 | | 1 | 3 | | 2 | 4 | | 4 | 6 | | x | y | | --- | --- | | 0 | 2 | | 1 | 4 | | 2 | 2 | | 2 | 6 | | 5 | 7 |

[Jawaban] Eight employees attended a 4-day training to learn about a new product. Release Time: $720 per day Instructional Materials: $45 per person Food: $105 per person Travel: $325 per person What was the total cost of instructional materials? Release Time $2,880 + Instructional Materials + Food Expenses + Travel Expenses = Total Training Cost $ [?] + $ + $ = $

[Jawaban] A company plans to sell a new type of vacuum cleaner for $280 each. The company's financial planner estimates that the cost, $y$, of manufacturing the vacuum cleaners is a quadratic function with a $y$-intercept of 11,000 and a vertex of (500, 24,000). Which system of equations can be used to determine how many vacuums must be sold for the company to make a profit? A. [tex]\left\{\begin{array}{l}y=280 x \\ y=-0,052(x-500)^2+24,000\end{array}\right.[/tex] B. [tex]\left\{\begin{array}{l}y=280 x \\ y=0.052 x^2+11,000\end{array}\right.[/tex] C. [tex]\left\{\begin{array}{l}y=280 x \\ y=0.052(x-500)^2+24,000\end{array}\right.[/tex] D. [tex]\left\{\begin{array}{l}y=280 x \\ y=-0.052(x-500)^2+11,000\end{array}\right.[/tex]

[Jawaban] Examine the expanded form: [tex]$a \cdot a \cdot a \cdot a \cdot a \cdot a \cdot a$[/tex] Which is the expression in exponential form? A. [tex]$7^a$[/tex] B. [tex]$7 a$[/tex] C. [tex]$a^7$[/tex] D. [tex]$a+7$[/tex]

[Jawaban] Find the stationary points and point of inflexion for the following equation: [tex]y=\frac{1}{3} x^3-2 x^2+3 x[/tex]

[Jawaban] Which of the following is typically the least important factor to consider when conducting a statistical analysis of data? A. Sampling method B. Context of the data C. Formula calculation D. Source of the data

[Jawaban] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Jawaban] If $f(x)=x^2+1$ and $g(x)=x-4$, which value is equivalent to $(f \circ g)(10)$? A. 37 B. 97 C. 126 D. 606

[Jawaban] 4. Find the values of $a, b$ and $c$ if $2 x^4+2 x^3+5 x^2+3 x+3=\left(x^2+x+1\right)\left(a x^2+b x+c\right)$. If $P (x)=2 x^4-3 x^4+m x^2-2 x+24$ has a factor $(2 x+3)$ where $m$ is a constant.

[Jawaban] Solve for both price and quantities and show your work. Two linear equations are given: P = 22 - 4QD P = -2 + 2QS