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Questions in mathematics

[Answered] Write the equation of a polynomial function that passes through A, B, C, and D. f(x) =

[Answered] Use the intermediate value theorem to find the real zero of the given polynomial correct to two decimal places. [tex]f(x)=x^3+3 x-3[/tex] The real zero correct to two decimal places is $\square$ . (Round the final answer to two decimal places as needed. Round all intermediate values to four decimal places as needed.)

[Answered] Solve the inequality. $n-11<33$ A. $n<44$ B. $n<22$ C. $n>44$ D. $n>22

[Answered] In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as: Assertion (A): All parallelograms are rectangles. Reason (R): All rhombuses are parallelograms. (a) Both A and R are true and R is the correct explanation of A (b) Both A and R are true but R is not the correct explanation of A (c) A is true but R is false (d) A is false but R is true

[Answered] For one month, Siera calculated her hometown's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees Fahrenheit to degrees Celsius using the function [tex]$C(F)=\frac{5}{9}(F-32)$[/tex]. What does [tex]$C(F)$[/tex] represent? A. [tex]$C(F)$[/tex] represents the output of the function [tex]$C$[/tex] in degrees Celsius when the input [tex]$F$[/tex] is in degrees Fahrenheit. B. [tex]$C(F)$[/tex] represents the output of the function [tex]$F$[/tex] in degrees Fahrenheit when the input [tex]$C$[/tex] is in degrees Celsius. C. [tex]$C(F)$[/tex] represents the output of the function [tex]$C$[/tex] in degrees Fahrenheit when the input [tex]$F$[/tex] is in degrees Celsius. D. [tex]$C(F)$[/tex] represents the output of the function [tex]$F$[/tex] in degrees Celsius when the input [tex]$C$[/tex] is in degrees Fahrenheit.

[Answered] Evaluate the following expression for the given values: [tex]$-5 x^2-2 y^2+1$[/tex] where [tex]$x=3$[/tex], [tex]$y=-4$[/tex]

[Answered] Let [tex]$\frac{\cos (2 x)}{\cos (x)+\sin (x)}=0$[/tex] where [tex]$0^{\circ} \leq x \leq 180^{\circ}$[/tex]. What are the possible values for [tex]$x$[/tex]? A. [tex]$45^{\circ}$[/tex] only B. [tex]$135^{\circ}$[/tex] only C. [tex]$45^{\circ}$[/tex] or [tex]$225^{\circ}$[/tex] D. [tex]$135^{\circ}$[/tex] or [tex]$315^{\circ}$[/tex]

[Answered] What is the value of the 3rd term of the expansion $(3 y-2)^7$?

[Answered] Each person who enters a store receives a $5 off coupon. In the equation y = 5x, y is the total value of the coupons given out by the store, and x is the number of people receiving the coupons. Wen says the function is continuous, because the number of people is unlimited. Is Wen right or wrong? Explain.

[Answered] Solve for $x$: $4-(x+2)<-3(x+4)$