Help im stuck!

1. 

In a town whose population is 3000, a disease creates an epidemic. The number of people N infected t days after the disease has begun is given by 3000 the function N t = 0 \"24.69 41-\" . Complete parts a) through c) below. a) How many are initially infected with the disease (t = 0)? D (Round to the nearest whole number as needed.) b) Find the number infected after 2 days, 5 days, 8 days, 12 days, and 16 days. The number infected after 2 days is D (Round to the nearest whole number as needed.) The number infected after 5 days is D (Round to the nearest whole numbers as needed.) The number infected after 3 days is D (Round to the nearest whole numbers as needed.) The number infected after 12 days is D. (Round to the nearest whole numbers as needed.) The number infected after 16 days is D. (Round to the nearest whole numbers as needed.) c) Using this model, can you say whether all 3000 people will ever be infected? Explain. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 0 A. As t>0, N(t)>3000, so 3000 people will be infected after |:| days. 0 B. As t>e, N(t)>3000, so 3000 people will be infected after B days. 0 c_ As t>oo. N(t)r3000, so the number approaches 3000, but never actually reaches it. Sketch the graph of the following function. Describe how the graph can be + obtained from the graph of the basic exponential function ex. f(x) = N| - (1 - ex ) X Use the graphing tool to graph the equation. -10 -8 -6 -4 -2 2 2 4 6 8 10 Click to enlarge graph Describe how the graph can be obtained from the graph of the exponential function e . Choose the correct answer below. O A. Reflect the graph of y = ex across the x-axis, shift it down and shrink it vertically. O B. Reflect the graph of y = ex across the x-axis, shift it up and shrink it vertically. O C. Reflect the graph of y = ex across the y-axis, shift it up and shrink it vertically.Use the graph shown to the right to find each of the following. (a) The x-intercept(s) is/are (a) the x-intercept(s), and (b) the zero(s) of the function. (Type an ordered pair. Use a comma to separate answers as needed.) (b) The zero(s) of the function is/are x = (Use a comma to separate answers as needed.) 4- 2 - X -6 -4 -2 N- 14 -2- -4- 6-Find a linear function h, given h(9) = - 28 and h( - 4) = 24. Then find h(5). h(x) = (Type an expression using x as the variable. Simplify your answer.) h(5) = (Simplify your answer.)Find a polynomial function of degree 4 with - 1 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1. f ( x ) (Use 1 for the leading coefficient.)Solve by the elimination method. Also, determine whether the system is Select the correct choice below and ll in any answer boxes in your consistent or inconsistent, and whether the equations are dependent or choice. independent. 1 1 43 O A- There is one solution. The solution is D. 5'" + 55' = ? (Simplify your answer. Type an ordered pair.) 1 1 59 O 3- There are innitely many solutions of the form (x,|:D . Ix + 5y = E (Simplify your answer.) Q C. There is no solution. (Hint: First multiply by the least common denominator to clear fractions.) Is the system consistent or inconsistent? 0 consistent O inconsistent Are the equations dependent or independent? 0 independent 0 dependent f(x + h) -f(x) For the function f(x) = x2 -7, construct and simplify the difference quotient h The difference quotient isGive the solution in both interval and graph form. lx 1 l > 4.4 Select the correct choice below and ll in any answer boxes in your choice. 0 A- The solution set is E (Type your answer in interval notation. Use integers or decimals for any numbers in the expression.) 0 B. There is no solution. Choose the correct graph of the solution set. A graphics designer is designing an advertising brochure for an art show. Each page of the brochure is rectangular with an area of 42 in2 and a perimeter of 26 in. Find the dimensions of the brochure. The longer side is D in. The shorter side is D in. (Type exact answers, using radicals as needed. Simplify your answers.) Find the vertex, the focus, and the directrix. Draw the graph of y2 5y x + 7 = o. The focus is El. (Type an ordered pair.) What is the directrix? Select the correct choice below and ll in the answer box to complete your choice. 0 A. The direclrix is y= D. O B. The direclrix is x= |:|. Use the graphing tool to graph the equation. @9