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Questions in mathematics

[Done] 3. $100,000 \div 10=$ Find each product or quotient and write it in standard form. 4. $7 \times 10^5=$ 5. $60,000 \div 10^4=$

[Done] 16. [tex]p+1.6 \div(-0.4)=-12[/tex]

[Done] A snack cart sells lemonade for $2 and hot dogs for $5. The vendor sold 86 items today for a total of $330. | Snack Sales | | Items Sold | Cost per Item (dollars) | Total Cost (dollars) | | Lemonade | $86-h | 2 | $2(86-h) | | Hot Dogs | $h | 5 | $5 h | | Total | 86 | | 330 | Which equation is true? A. $(86-h)(h)=86$ B. $(86-h)+h=86$ C. $(86-h)+h=2+5$ D. $[2(86-h)](5 h)=330$

[Done] What is the factored form of this expression? [tex]5 p^3-10 p^2+3 p-6[/tex] Write all factors in standard form.

[Done] Solve the compound inequality. Graph the solution set, and write the solution set in interval notation. Write numbers as simplified fractions or integers. [tex]$2 \leq \frac{4 x-1}{2} \leq 4$[/tex] Part: 0 / 2 Part 1 of 2 The solution set in interval notation is $\square$ .

[Done] Marsha wants to determine the vertex of the quadratic function [tex]$f(x)=x^2-x+2$[/tex]. What is the function's vertex?

[Done] Write 547,000 in scientific notation.

[Done] The volume of a fish tank is 70 cubic feet. If the density is [tex]$0.4 \frac{\text { fish }}{\text { feet }}$[/tex], how many fish are in the tank?

[Done] Which relation is also a function? A. B. [tex] \begin{tabular}{|c|c|} \hline x & y \\ \hline 10 & 1 \\ \hline 15 & 2 \\ \hline 15 & 3 \\ \hline \end{tabular} [/tex]

[Done] Write a function rule for the relationship between the amount of plant food remaining, [tex]f(x)[/tex], and the number of days that have passed, [tex]x[/tex]. [tex]f(x)=[/tex]