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Questions in mathematics

[Done] Select the correct answer. What is the simplified form of this expression? \(\left(4 x^2-3 x+8\right)-\left(2 x^2+2 x-5\right)\) A. \(4 x^2-5 x+13\) B. \(2 x^2-x+3\) C. \(2 x^2-5 x+13\) D. \(2 x^2-5 x+3\)

[Done] Simplify the expression: $(3 x+w)(5 x+1)$

[Done] Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108.00. Which linear function represents \(c\), the total cost, when \(x\) tickets are ordered? (A service fee is a single fee applied to the total, no matter the number of tickets purchased). A. \(c(x)=5.50+20.50 x\) B. \(c(x)=5.50 x+20.50\) C. \(c(x)=5.50+21.60 x\) D. \(c(x)=5.50 x+21.60\)

[Done] Which functions are odd? Choose two correct answers. [tex]f(x)=x^5-3 x^3+2 x[/tex] [tex]f(x)=x^3-x^2[/tex] [tex]f(x)=4 x+9[/tex] [tex]f(x)=\frac{1}{x}[/tex] This question requires at least 2 answers.

[Done] If [tex]f(x)=5 x+40[/tex], what is [tex]f(x)[/tex] when [tex]x=-5[/tex]?

[Done] Solve and check [tex]$\frac{c-4}{c-2}=\frac{c-2}{c+2}-\frac{1}{2-c}$[/tex] The solution is [tex]$c=$[/tex] $\square$ How many extraneous solutions are there? $\square$

[Done] [tex]\frac{\sqrt{-90}}{\sqrt{45}}[/tex]

[Done] What is the value of $b$ in the equation below? [tex]\frac{5^6}{5^2}=a^b[/tex]

[Done] Select the correct answer. Which function is a horizontal translation of the parent quadratic function, [tex]f(x)=x^2[/tex]? A. [tex]h(x)=4 x^2[/tex] B. [tex]k(x)=-x^2[/tex] C. [tex]g(x)=(x-4)^2[/tex] D. [tex]j(x)=x^2-4[/tex]

[Done] Problems 8-9: Here are Sequence A and Sequence B. One sequence has a constant difference and one has a constant ratio. 8. Complete the table. | Sequence A | [tex]70,90,110, \ldots[/tex] | Constant ratio or Constant difference | Fourth term: | | Sequence B | 10, 20, 40, ... | Constant ratio or Constant difference | Fourth term: | 9. Which sequence will have the greater 10th term? Show or explain your thinking.