y ' 16 I 14 12 10 \ $ \~,4,2 V ' X _ z_ _6 _ 8-.=6-.=4-.=2_~ /4- \8- >-, 4,.,,, I/ 6_I'- 8 19 I 12 I 1~ I. 16 y = f(x) The graph of is shown, where the f(x) = ax^3 +bx^2 +cx+d function f is defined by and a, b, c, and d are constants. For how many f(x) = 0 values of x does?
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The area A, in square centimeters, of a rectangular cutting board can be represented by the expression w(w +9), where w is the width, in centimeters, of the cutting board. Which expression represents the length, in centimeters, of the cutting board? w(w +9)
= p (- k)/(4j +9) The given equation relates the distinct positive numbers p, k, and j. Which equation correctly 4j +9 expresses in terms of p and k? 4j +9 =
- - - - -_3n - - - - - Circle A has a radius of and circle B has a radius 129n of, where n is a positive constant. The area of circle B is how many times the area of circle A?
The measure of angle R is 2π/3 radians. The measure of angle T is 5π/12 radians greater than the measure of angle R. What is the measure of angle T, in degrees?
- -_particular_machine_that_produces - - - - - -_beads,_29_out - ~ For a of every 100 beads it produces have a defect. A bead produced by the machine will be selected at random. What is the probability of selecting a bead that has a defect?
y = x^2 −14x+22 The given equation relates the variables x and y. For what value of x does the value of y reach its minimum?
- -_business_owner - -_budgets -_$2,200_to_purchase - ~ A small candles. The owner must purchase a minimum of 200 candles to maintain the discounted pricing. If the owner pays $4.90 per candle to purchase small candles and $11.60 per candle to purchase large candles, what is the maximum number of large candles the owner can purchase to stay within the budget and maintain the discounted pricing?
- - - -_≤_x+7 - - ~ y y ≥ −2x−1 (x,y) Which point is a solution to the given system of inequalities in the xy-plane? (−14,0)
Weight (pounds) Frequency 13 12 14 8 15 5 16 7 17 9 18 10 19 13 20 7 The frequency table summarizes a data set of the weights, rounded to the nearest pound, of 71 tortoises. A weight of 39 pounds is added to the original data set, creating a new data set of the weights, rounded to the nearest pound, of 72 tortoises. Which statement best compares the mean and median of the new data set to the mean and median of the original data set?
- - - -_(x−a)(x−29) - - ~ x−29 = Which of the following are solutions to the given a > 30 equation, where a is a constant and? I. a a+1 II. 29 III.
- - -_the_graph_of_the - -_equation - ~ In the xy-plane, y = −x^2 +9x−100 y = c intersects the line at exactly one point. What is the value of c? −
The functions f and g are defined by the given x ≥ 0 equations, where. Which of the following equations displays, as a constant or coefficient, the maximum value of the function it defines, where x ≥ 0? f ( x) = 18 ( 1.25)^x +41 I. g x = 9 0.73 II. () ()^x
The perimeter of an equilateral triangle is 852 centimeters. The three vertices of the triangle lie on a circle. The radius of the circle is w 3 centimeters. What is the value of w? OP
y. 114 I 11, I I 110 s / I I y 6 l l f 1 1 X V -10 -8 -6 -4 -2 246810 What is the y-intercept of the graph shown? (−8,0)
Which expression_2 is equivalent to 2 x^2 + x −9 + x +6 x +1 () ()? 2x^2 +7x+10
An analyst collected data on the price of a carton of grape tomatoes at 30 locations selected at random in Utah. The mean price of a carton of grape tomatoes in Utah was estimated to be $4.23, with an associated $0.08 margin of error of. Which of the following is a plausible statement about the mean price of a carton of grape tomatoes for all locations that sell this product in Utah? $4.15 $4.31
- - - - -_2.8 - - - 2.6 +x = What value of x is the solution to the given equation?
80% Out of 300 seeds that were planted, sprouted. How many of these seeds sprouted?
f(x) = 4x+b For the linear function f, b is a constant f(7) = 28 and. What is the value of b?
LMN PQR Right triangles and are similar, where L and Mcorrespond to Pand Q, respectively. Angle M has a measure of 53°. What is the measure of angle Q? 37°
y 10 8 6.,,,,,.~,,,, ~ 4 ~v.,,, 2, l/,J' u X l'?f' -8 -6 -4 -2 2.2 What is the y-intercept of the line graphed? (−5,0)
- - - -_defined_by - - -_=_7x -_._In_the - ~ 3 The function f is f(x) y = g(x) xy-plane, the graph of is the result of = f(x) shifting the graph of y down 2 units. Which equation defines function g? g(x) = x^3
y = −3x 4x+y = 15 The solution to the given system of equations (x,y) is. What is the value of x?
- B 35 C A Note: Figure not drawn to scale. In the right triangle shown, what is the value of sinA?