The bar graph summarizes the charge, in kilowatt-hours (kWh), a battery received each day for 15 days. 7 6! - 5 'o - 4 ~ - ~ 3 § 2 - z - 1 ~ I I I I I I 0 0 8 9 11 16 23 Charge (kWh) For how many of these 15 days did the battery receive a charge of 0 kWh?
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- - A line^-^-^-^-^-^-^- in the xy-plane has a slope of 9 and passes^- (0,−5) = px+r through the point. The equation y defines the line, where p and r are constants. What is the value of p?
- -_is_an -_x-coordinate_of_an_x-intercept_of_the - - - - - - - What = 3(x−14)(x+5)(x+4) graph of y in the xy-plane?
y 35 0 30 0 25 0 ' 0 Value (dollars) 20 ~ i-.._I',, 15 0 10 0,-... 0 5 X 0 4 8 12 16 20 24 Number of months after purchase The graph shown gives the estimated value, in dollars, of a tablet as a function of the number of months since it was purchased. What is the best interpretation of the y-intercept of the graph in this context?
- - - - - - - - -_E,_F, ~ Triangles EFGand JKLare congruent, where and G correspond to J, K, and L, respectively. The 45° measure of angle E is and the measure of 20° angle F is. What is the measure of angle J? 20°
- - - - - - -_to_a_charity_event_as - - ~ A total of 165 people contributed either a donor or a volunteer. 130 people contributed as a donor. How many people contributed as a volunteer?
Which expression is equivalent to 9x^3 +5x+7 + 6x^3 +5x^2 −5 () ()?
- - - - - -_win_tokens_that_are - - - ~ At a state fair, attendees can worth a different number of points depending on the shape. One attendee won S square tokens and C circle tokens worth a total of 1,120 points. The 80S+90C = 1,120 equation represents this situation. How many more points is a circle token worth than a square token?
- - - - - - - -_for_the_data - ~ In the given scatterplot, a line of best fit is shown. y 14 ~ / 12 /^-/ -,/ 10 / / 8 / / = 6 /_ - - / 4 /,^/ 2 u X 1 2 3 4 5 6 7 Which of the following is closest to the slope of the line of best fit shown? 0
A circle has a radius of 2.1 inches. The area of the bπ circle is square inches, where b is a constant. What is the value of b?
XYZ In triangle, angle Y is a right angle, point P lies XZ YZ PQ on, and point Q lies on such that is XY XZY 63° parallel to. If the measure of angle is, XPQ what is the measure, in degrees, of angle?
An investment account was opened with an initial $890 value of. The value of the account doubled every 10 years. Which equation represents the value of the account M(t), in dollars, t years after the account was opened? t ^10 = 890
< y x < 22 x For which of the following tables are all the values of xand their corresponding values of ysolutions to the given system of inequalities?
Which expression is equivalent to (h_5 15 q^7)/(h q^21), > 0 > 0 where h and q?
3y = 4x+17 −3y = 9x−23 The solution to the given system of equations is (x,y) 39x. What is the value of? −18
h ( t) = −16t^2 +b The function h estimates an object’s height, in feet, above the ground t seconds after the object is dropped, where b is a constant. The function estimates that the object is 3,364 feet above the = 0 ground when it is dropped at t. Approximately how many seconds after being dropped does the function estimate the object will hit the ground?
6% There are 250 trees in a park. Of these trees, are birch trees. How many birch trees are in the park?
2x^2 −8x−7 = 0 One solution to the given equation can be written as (8− k)/4, where k is a constant. What is the value of k?
x f(x) –4 0 19 – 1 5 18 – 2 5 For the linear function f, the table shows three values of x and their corresponding values of f ( x). If h(x) = f(x)−13, which equation defines h? = 5x−4
- - - - - - -_=_b−15x - - The linear function g is defined by g(x), g(c+7) = where b is a constant. If c/4, where c is a constant, which of the following expressions represents the value of b?
XYZ In triangle, angle Z is a right angle and the tanX = length of YZ is 24 units. If 12/35, what is the perimeter, in units, of triangle XYZ?
+14x+y^2 = 6y+109 x^2 In the xy-plane, the graph of the given equation is a circle. What is the length of the circle’s radius? 109
The speed of a vehicle is increasing at a rate of 7.3 meters per second squared. What is this rate, in miles per minute squared, rounded to the nearest (Use1mile = 1,609meters.) tenth?
= −2.5 y = +8x+k y x^2 In the given system of equations, k is a positive integer constant. The system has no real solutions. What is the least possible value of k? OP
y 12 \ I 11 \ I 10 \ I 9 \ I 8 \ 7 \ I^I 6 ' I 5 \ 4 I^J \3 "( /., 1 X -2 f 2 = The graph of the quadratic function y f(x) is shown. What is the vertex of the graph? (0,−2)