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Questions in mathematics

📝 Answered - Which of the following describes the zeroes of the graph of [tex]f(x)=-x^5+9 x^4-18 x^3[/tex]? A. 0 with multiplicity [tex]3,-3[/tex] with multiplicity 2, and -2 with multiplicity 1 B. 0 with multiplicity 3, 3 with multiplicity 1, and 6 with multiplicity 1 C. 0 with multiplicity 3, 3 with multiplicity 2, and 2 with multiplicity 1 D. 0 with multiplicity [tex]3,-3[/tex] with multiplicity 1, and -6 with multiplicity 1

📝 Answered - Express the number in standard notation. $9.427 \times 10^{-6}$

📝 Answered - Multiply $\frac{3}{\sqrt{17}-\sqrt{2}}$ by which fraction will produce an equivalent fraction with a rational denominator? A. $\frac{\sqrt{17}-\sqrt{2}}{\sqrt{17}-\sqrt{2}}$ B. $\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}$ C. $\frac{\sqrt{2}-\sqrt{17}}{\sqrt{2}-\sqrt{17}}$ D. $\frac{\sqrt{15}}{\sqrt{15}}$

📝 Answered - f(x)=\left{\begin{array}{ll}3 x+4 & x \leq 2 \\ x^2+1 & x>2\end{array}\right. What is $f ( 3 )+ f ( 0 )$?

📝 Answered - Tim is looking at two websites that allow customers to print their own designs on T-shirts. One website charges $24 per T-shirt plus $8 shipping. The other website uses the equation [tex]C =22 n +12[/tex] to find the total cost, C, of printing n T-shirts. What is the difference in the cost of each website if Tim orders 10 T-shirts?

📝 Answered - Simplify the following rational expressions: [tex]$\frac{4}{x+2}-\frac{3}{x-1}$[/tex]

📝 Answered - A seal went 25 feet below sea level to catch a fish. A sea lion dove 10 feet less than three times as deep as the seal to catch a larger fish. Which expression represents the sea lion's position in relation to sea level? [tex]3(25)-10[/tex] [tex]25-3(10)[/tex] [tex]3(-25)-10[/tex] [tex]3(-25)-(-10)[/tex]

📝 Answered - In the equation $Q=12=89$, what is the value of $Q$? A) 102 B) 77 C) 78 D) 101

📝 Answered - Which value must be added to the expression [tex]x^2-3 x[/tex] to make it a perfect-square trinomial?

📝 Answered - Which equations represent circles that have a diameter of 12 units and a center that lies on the $y$-axis? Select two options. $x^2+(y-3)^2=36$ $x^2+(y-5)^2=6$ $(x-4)^2+y^2=36$ $(x+6)^2+y^2=144$ $x^2+(y+8)^2=36$