The scatterplot show's the relationship between two variables, x and y. A line of best fit is also shown.
Which of the following equations best represents the line of best fit shown?
- Ay=2.6+1.9x
- By=2.6-1.9x
- Cy=-2.6+1.9x
- Dy=-2.6-1.9x
Math · 44 questions Go to Reading and Writing
The scatterplot show's the relationship between two variables, x and y. A line of best fit is also shown.
Which of the following equations best represents the line of best fit shown?
2x-3y=4
x=8
What is the solution (x, y) to the given system of equations?
What value of x is the solution to the equation 8x+ 56 = 36x?
If 4(x+3)=3(x+3)+ 56, what is the value ofx+ 3?
The function f is defined by f(x)=7/10x+63 . What is the value of f (20)?
The function f is defined by f(x)=2+√x . What is the value of f (100)?
Triangles ABC and DEF are congruent, where A corresponds to D, and B and E are right angles. The measure of angle A is 17°. What is the measure, in degrees, of angle F?
At a convention center, there are a total of 250 visitors. Each visitor is located in either room A, room B, or room C. If one of these visitors is selected at random, the probability of selecting a visitor who is located in room A is 0.44, and the probability of selecting a visitor who is located in room B is 0.32. How many visitors are located in room C?
g(m)= -0.05m+12.4
The given function g models the number of gallons of gasoline that remains from a full gas tank in a car after driving m miles, According to the model, about how many gallons of gasoline are used to drive each mile?
What is the center of the circle in the xy-plane defined by the equation(x-4)^2+(y+3)^2=16 ?
f(x)=3,000(0.75)^x
A conservation scientist implemented a program to reduce a certain invasive insect population in an area. The given function estimates this insect species' population x years after 2008, where x≤ 8. Which of the following is the best interpretation of 3,000 in this context?
Line r is defined by the equation 4x-9y= 5. Line s is parallel to line r in the xy-plane. What is the slope of line s?
The cost to rent a bus from Company X is $950 for the first 3 hours and an additional $50 per hour for each hour after the first 3 hours. If the total cost to rent the bus from Company X for t hours, where t > 3, is $1,100, which equation represents this situation?
y=-1/4x^2+x+29
The given equation models a company's active projects over 6 months, where y is the estimated number of active projects x months after the end of April 2013, where 0≤x≤6 . Which statement is the best interpretation of the y-intercept of the graph of this equation in the xy-plane?
22.5x+ 26.75y=242
Odalys ordered mulch and river rock, which cost a total of $242, for her home. The given equation represents the relationship between the number of cubic yards of mulch, x, and the number of tons of river rock, y, Odalys ordered. How much more, in dollars, did a ton of river rock cost Odalys than a cubic yard of mulch?
A hemisphere is half of a sphere. If a hemisphere has a radius of 86 inches, which of the following is closest to the volume, in cubic inches, of this hemisphere?
An object is kicked from a platform. The equation h=-4.9t^2+5t+12 represents this situation, where h is the height of the object above the ground, in meters, t seconds after it is kicked. Which number represents the height, in meters, from which the object was kicked?
In ΔABC, ∠B is a right angle and the length of BC is 260 millimeters. If cos A = 3/5, what is the length. in millimeters, of AB ?
In a certain state, the population of pheasants, a type of bird, is estimated each year by counting the number of pheasants observed along certain roads in the state. On average, each year from 2005 to 2015 the number of pheasants counted per mile of road decreased by 3.5% of the number of pheasants per mile of road the previous year. Based on this average, if there were 6.29 pheasants per mile of road in this state in 2005, which of the following best approximates the number of pheasants per mile of road in 2015?
To study fluctuations in leaf water potential, samples of wood were taken from 24 trees and cut in the shape of a cube. The length of the edge of one of these cubes is 2.00 centimeters. If this cube has a mass of 4.48 grams, what is the density of this cube, in grams per cubic centimeter?

The table shows two values of x and their corresponding values of y. The graph of the linear equation representing this relationship passes through the point (1/3, a), What is the value of a?
Which system of linear equations has no solution?
Which expression is equivalent to(9x^2+9)-(2x^2) ?
The graph of a system of a linear and a quadratic equation is shown. Which system of equations is represented by the graph?
In triangle ABC, the measure of angle A is 31°, the measure of angle B is 90°, and the measure of angle C is (k/2)° . What is the value of k?

The table shows the linear relationship between the number of cars, c, on a commuter train and the maximum number of passengers and crew, p, that the train can carry. Which equation represents the linear relationship between c and p?
g(x)=5(16x -17)
What is the y-coordinate of the y-intercept of the graph of y = g(x) - 5 in the xy-plane?
At the start of an experiment, the pressure inside a container was 18 pounds per square inch (psi). The pressure inside the container doubled every 29 minutes after the start of the experiment. Which equation represents this situation, where y is the pressure, in psi, inside the container x minutes after the start of the experiment?
|x-8|+72=88
What is the sum of the solutions to the given equation?
What is the y-intercept ofy=-(8)^x-38 in the xy-plane?
x^2+9x+6=0
One solution to the given equation can be written asx=(-9+√k)/2 , where k is a constant. What is the value of k?
A data set of the orbital periods, rounded to the nearest whole number of Earth days, for 13 of Jupiter's moons is represented in the dot plot. An additional moon with an orbital period of 621 days is added to the original data set to create a new data set of 14 orbital periods. Which statement best compares the mean and median of the new data set to the mean and median of the original data set?
The function g is defined by g(x)= 9x. For what value of x is g(x)=63?
In a set of four consecutive odd integers, where the integers are ordered from least to greatest, the first integer is represented by x. The product of 14 and the fourth odd integer is at most 23 less than the sum of the first and third odd integers. Which inequality represents this situation?
If 10+(6(7-x))/5=(4(7-x))/3 , which equation must also be true?
The function f is a quadratic function. In the xy-plane, the graph of y = f (x) has a vertex at (1, 6) and passes through the points (2, 34) and (-1, 118). What is the value of f (-2) - f (0)?
The graph of line g is shown in the xy-plane. Line k is defined by 195x + py = w, where p and w are constants. If line k is graphed in this xy-plane, resulting in the graph of a system of two linear equations, the system of two linear equations will have infinitely many solutions. What is the value of p+ w?
Triangles ABC and DEF are similar. Each side length of triangle ABC is 3 times the corresponding side length of triangle DEF. The area of triangle ABC is 170 square inches.What is the area, in square inches, of triangle DEF?
After 60% of the original number of objects in a group were removed from the group. 300 objects remained in the group, How many objects were removed from the group?
12 , 12 , 18 , 24 , 29
What is the median of the data set shown?
y=x-c
y=-2(x-12)^2
In the given system of equations, c is a constant. The system has two distinct real solutions. Which of the following could be the value of c?
The perimeter of an isosceles right triangle is 26+26√2 inches. What is the length, in inches, of the hypotenuse of this triangle?
If n and k are numbers greater than l and 2√n^5 is equivalent to sqrt[3]k^45√k^4 , for what value of a is n^(4a+1)equal to k?
An object's speed is increasing at a rate of 10.7 meters per second squared. What is this rate, in miles per minute squared, rounded to the nearest tenth? (Use 1 mile = 1,609 meters.)