Questions in Grade College

Questions in Grade College

[Jawaban] Mike wants to fence in part of his backyard. He wants the length of the fenced-in area to be at least 20 feet long, [tex]$l \geq$[/tex] 20. He has 200 feet of fencing. The inequality that models the possible perimeter of the yard is [tex]$2 l+2 w \leq$[/tex] 200. Which are possible dimensions for Mike's backyard? Check all that apply. A. [tex]$w=50 ft ; l=10 ft$[/tex] B. [tex]$w=10 ft ; l=50 ft$[/tex] C. [tex]$w=20 ft ; l=60 ft$[/tex] D. [tex]$w=90 ft ; l=30 ft$[/tex] E. [tex]$w=50 ft ; l=40 ft$[/tex]

[Jawaban] Sketch the following polynomial function using the four-step process. [tex]f(x)=-x^5+6 x^4+36 x^3-216 x^2[/tex] The left-hand behavior starts $\square$ up and the right-hand behavior ends down. Find the [tex]y[/tex]-intercept. The [tex]y[/tex]-intercept is [tex]y=[/tex] $\square$ 0. The real zeros of the polynomial are [tex]x =[/tex] $\square$. (Use a comma to separate answers as needed. Type an exact answer, using radicals as needed.)

[Jawaban] For the pair of functions [tex]f(x)=\sqrt{\frac{x+4}{x+6}}[/tex] and [tex]g(x)=\sqrt{x-8}[/tex] find the following. a. Find the functions [tex]f + g , f - g , fg[/tex], and [tex]\frac{ f }{ g }[/tex]. b. Determine the domain of the functions [tex]f + g , f - g , fg[/tex], and [tex]\frac{ f }{ g }[/tex]. a. [tex](f+g)(x)=\sqrt{\frac{x+4}{x+6}}+\sqrt{x-8}[/tex] (Do not simplify. Type an exact answer, using radicals as needed. Do not rationalize the denominator.) [tex](f-g)(x)=\sqrt{\frac{x+4}{x+6}}-\sqrt{x-8}[/tex] (Do not simplify. Type an exact answer, using radicals as needed. Do not rationalize the denominator.) [tex](f g)(x)=\sqrt{\frac{(x+4)(x-8)}{x+6}}[/tex] (Simplify your answer. Type an exact answer, using radicals as needed. Do not rationalize the denominator.) [tex]\left(\frac{f}{g}\right)(x)=[/tex] [tex]\square[/tex] (Simplify your answer. Type an exact answer, using radicals as needed. Do not rationalize the denominator.)

[Jawaban] Select the correct answer. In which direction must the graph of [tex]f(x)=7^x[/tex] be shifted to produce the graph of [tex]g(x)=7^x+7[/tex]? A. left B. down C. up D. right

[Jawaban] After submitting a résumé by mail, how long should you wait before following up with an employer? A. 1 day B. 2-3 days C. 1 week D. 2 weeks

[Jawaban] When analyzing an argument, which element should you identify first? A. the reasons B. the claim C. the evidence D. the author

[Jawaban] A force acts in the direction $(4,2)$, moving an object along a straight path from $(2,-4)$ to $(10,1)$. How much work is done by the force? A. 12 joules B. 42 joules C. 48 joules D. 78 joules

[Jawaban] Given the polynomial: [tex]$-x^2-8 x-7+7 x^3+2 x^4$[/tex] Evaluate the polynomial for [tex]$x=5$[/tex]

[Jawaban] Which action is an example of a service provided by an organization that receives charitable funding? A. researching vaccinations B. advertising new medications C. contracting to install waiting area carpeting D. selling hospital supplies for a privately owned company

[Jawaban] Which line is perpendicular to a line that has a slope of $-\frac{1}{3}$? line MN line $AB$ line EF line JK