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Questions in mathematics

[Done] Mani had sent fifteen parcels of oranges. What was the total weight of the parcels, if each weighed 10 1/2 kg?

[Done] Which point justifies the shaded area by satisfying $\frac{x^2}{16}+\frac{y^2}{4} \leq 1$? (1,1) (4,1) (-1,2) (2,-2)

[Done] Graph the equation. $y=4 x^2+8 x+7$

[Done] Brenton's weekly pay, [tex]$P(h)$[/tex], in dollars, is a function of the number of hours he works, [tex]$h$[/tex]. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week. Which set describes the domain of [tex]$P(h)$[/tex]? A. {h | 0 ≤ h ≤ 40} B. {h | 0 ≤ h ≤ 60} C. {P(h) | 0 ≤ P(h) ≤ 1,400} D. {P(h) | 0 ≤ P(h) ≤ 1,800}

[Done] The table of values below represents a linear function and shows Marco's progress as he is pumping gas into his car. What is the output for the initial value? | Gallons of Gas | 0 | 12 | 24 | 36 | 48 | |---|---|---|---|---|---| | Cost of Gallons in Car | 3 | 5 | 7 | 9 | 11 | A. 0 gallons B. 2 gallons C. 3 gallons D. 6 gallons

[Done] Which of the following describes the zeroes of the graph of [tex]f(x)=3 x^6+30 x^5+75 x^4[/tex]? A. -5 with multiplicity 2 and [tex]\frac{1}{3}[/tex] with multiplicity 4 B. 5 with multiplicity 2 and [tex]\frac{1}{3}[/tex] with multiplicity 4 C. -5 with multiplicity 2 and 0 with multiplicity 4 D. 5 with multiplicity 2 and 0 with multiplicity 4

[Done] Manish writes the functions [tex]g(x)=\sqrt[3]{-x}-72[/tex] and [tex]h(x)=-(x+72)^3[/tex]. Which pair of expressions could Manish use to show that [tex]g(x)[/tex] and [tex]h(x)[/tex] are inverse functions? A. [tex]\sqrt[3]{x^3}-72[/tex] and [tex]-(\sqrt[3]{-x}+72)^3[/tex] B. [tex]\sqrt[3]{-x^3}-72[/tex] and [tex]-(\sqrt[3]{-x}+72)^3[/tex] C. [tex]\sqrt[3]{(x+72)^3}-72[/tex] and [tex]-(\sqrt[3]{-x}-72+72)^3[/tex] D. [tex]\sqrt[2]{-(x+72)^3}-72[/tex] and [tex]-(\sqrt[3]{-x}-72+72)^3[/tex]

[Done] Which could have been the original exponential form of the expression Dawn simplified? Check all that apply. $(-4)^3$ $2^6$ $3^4$ $(-8)^2$ $(-2)^6$

[Done] The line $y = x$ is transformed into the line $y=\frac{x}{3}-4$. Fill in the blanks to describe the slope and $y$-intercept of the new line. The slope is ______, and the line is shifted ______. A. steeper B. flatter

[Done] Graphs of Quadratic Relationships: If [tex]f(x)=x^2[/tex], which equation represents function [tex]g[/tex]? A. [tex]g(x)=\frac{1}{3} f(x)[/tex] B. [tex]g(x)=3 f(x)[/tex]