Grade 10 Final Exams

axis of symmetry Equation of the graph in standard form y = x ^{2} is written as x ^ 2The 14th term is Given the sequence 7, 2, -3, -8, -13,... The explicit formula is a _{n} = pn + qq = p = Fill in the blank ∑ n=1 10 Formula = 2 + 4 + 6 + 8 +... = The sum A rope is swinging in such a way that the length of the arc is decreasing geometrically. If the first arc is 18 feet long and the third arc is 8 feet long, what is the length of the second arc? feet The graph of f(x) = √x is transformed to the graph of g(x) below. After the transformation(s), point B(x,y) on f(x) becomes point A (0,2). What are the value of x and y? x = y = A( 0,2) f(x) = g(x) = x - 4 3 ( no space) f(g(x))=x If x and y are suplementary angles then cosx = cosy sinx = -siny sinx = siny sinx = cosy cosx =-cosy Which oneis the graph ofy = 15sin(0.5x)? . . . . Convert to degree 5π/12 = π/3 π/6 = degrees degrees degrees Solve log _{2}x + log_{2}(x – 2) = 3, for x > 2.log _{27} x = 1 – log_{27} (x – 0.4).92 x = 27(1–x).x = x = x = ( answer in decimal) Given the quadratic function f(x) = 2x ^{2} - 4x +5. Point V(x,y) is the vertex of the graph of f(x). Find the values of x and yx = y = . . . . . . . . Given the table below, find: f(2) = f ^{-1} (2) =Let f(x) = 2x ^{3} + 3 and g(x) = e^{3x} – 2.(f ° g)(0) = g(0) = f ^{-1}(19) =. . . . . . . . positive a is c is b is positive The equation of the graph below is y = ax ^{2} + bx + cpositive negative negative negative The graph of y = log _{3}(7(x+4)) is the image of the graph of y = log_{3}x after it has beenstretched horizontally by a factor of 7, and then translated4 units right compressed horizontally by a factor of 1/7, and then translated 4 unit right stretched horizontally by a factor of 7, and then translated 4 units left compressed horizontally by a factor of 1/7, and then translated 4 units left Given the graph of a = d = b = What is the solution to the quadratic inequality 2x ^{2} - 6x ≥ 5x ≤ -0.68 or x ≥ 3.68 x ≤ -3.68 or x ≥ 0.68 -3.68 ≤ x ≤ 0.68 -0.68 ≤ x ≤ 3.68 A college's business office found the relationship between the number of admissions counselors they employ and the college's profit from tuition could be modeled by the function: y = -10x ^{2} + 1500x - 35000How many admissions counselors should the college employ to maximize its profit? What is the maximum amount of profit the college can make? . . . . . . . . . . . Write the following series in sigma notation. . . . . x = a = Solve x = smaller solution and greater solution |

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