3x+6 = 4y 3x+4 = 2y The solution to the given system of equations is (x,y). What is the value of y?
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y = 4x+1 4y = 15x−8 The solution to the given system of equations is (x,y). What is the value of x−y?
A right triangle has legs with lengths of 24 centimeters and 21 centimeters. If the length of this triangle’s hypotenuse, in centimeters, can be written in the form 3 d, where d is an integer, what is the value of d?
x(x+1)−56 = 4x(x−7) What is the sum of the solutions to the given equation? OP
The function f is defined by f ( x) = x^2 +x+71. What is the value of f(2)?
An event planner is planning a party. It costs the event planner a onetime fee of $35 to rent the venue $10.25 and per attendee. The event planner has a budget of $300. What is the greatest number of attendees possible without exceeding the budget?
- - Vivian^- bought^-^-^-^-^~ party hats and cupcakes for $71. Each package of party hats cost $3, and each cupcake cost $1. If Vivian bought 10 packages of party hats, how many cupcakes did she buy?
- - - - -_a_diameter_with - - ~ xy A circle in the -plane has endpoints (2,4) and (2,14). An equation of this (x−2)^2 +(y−9)^2 = circle is r^2, where r is a positive constant. What is the value of r?
- - - -_3y_+12x_=_5_. - -_Line_n -_is ~ ℓ Line is defined by ℓ perpendicular to line in the xy-plane. What is the slope of line n?
- - - -_an_equilateral_triangle_is - - - - - ~ The perimeter of 624 centimeters. The height of this triangle is k 3 centimeters, where k is a constant. What is the value of k? OP
73, 74, 75, 77, 79, 82, 84, 85, 91 What is the median of the data shown?
f(x) = 4x The function f is defined by. For what value of x does f(x) = 8?
20 Circle A in the xy-plane has the equation x + 5 + y - 5 = 25. Circle B has the same ^ h^2 ^ h^2 center as circle A. The radius of circle B is two times the radius of circle A. The equation defining circle B in the xy-plane is x + 5 + y - 5 = k, where k ^ h^2 ^ h^2 is a constant. What is the value of k?
21 + + = x^2 7x 5 0 One solution to the given equation can be written as -7 k = x (+)/2, where k is a constant. What is the value of k?
6 Amara grows cherry tomatoes in her backyard. This year, she harvested 750 cherry tomatoes and gave 10% of them to her neighbor. How many of the harvested cherry tomatoes did Amara give to her neighbor?
13 In the triangle shown, what is the value of x?
14 What is the radius of the circle in the xy-plane defined by x + 2 + y + 5 = 169? ^ h^2 ^ h^2
20 9 3 = p^2 t^7 > > In the given equation, p 1 and t 1. If 1 t = p^3n^-, where n is a constant, what is the value of n?
27 An area of 46.00 square nautical miles is equivalent to k square kilometers. To the nearest tenth, what is = the value of k? 1nauticalmile 1.852kilometers ^ h
6 = 10x 86 What value of x is the solution to the given equation?
If x/8 = 5, what is the value of 8/x?
24x+y = 48 6x+y = 7 2 The solution to the given system of equations is ( x, y). What is the value of y?
Point O is the center of a circle. The measure of arc RS on this circle is 100°. What is the measure, in ROS degrees, of its associated angle?
5 The expression 6^5 3 x^45 ·^8 2^8 x is equivalent to ax^b, > 1 where a and b are positive constants and x. What is the value of a + b?
f(x) Function f is defined by = −a^x + b, where a and b are constants. In the xy-plane, the graph of ⎛ ⎞ f(x) ⎜ ⎟ y = − 15 has a y-intercept at ⎜ 0, − ⎟. The ⎝ 99/7 ⎠⎟ product of a and b is 65/7. What is the value of a?