A system of equations is given below.
{x + 3y = 15
{3x + 2y = 10
What is the value of y for the solution to the system? Type your response in the box below.
y =
9 answers
-3
A linear equation is graphed on the coordinate grid below.
The graph shows a coordinate grid with a straight line that passes through the points (negative 9, negative 5), (negative 6, negative 4) (negative 3, negative 3), (0, negative 2), (3, negative 1), (6, 0), and (9, 1).
When graphed on the same coordinate grid, which equation results in a system of equations with exactly one solution?
A.
-2x + 6y = -12
B.
3x - 9y = 9
C.
x - 3y = 6
D.
9x - 3y = 6
The graph shows a coordinate grid with a straight line that passes through the points (negative 9, negative 5), (negative 6, negative 4) (negative 3, negative 3), (0, negative 2), (3, negative 1), (6, 0), and (9, 1).
When graphed on the same coordinate grid, which equation results in a system of equations with exactly one solution?
A.
-2x + 6y = -12
B.
3x - 9y = 9
C.
x - 3y = 6
D.
9x - 3y = 6
The equation that results in a system of equations with exactly one solution is C. x - 3y = 6.
Joe claims that the equation y = 2x + b, where b is a real number, represents the graph of a straight line.
Which statement BEST classifies Joe's claim?
A.
Joe's claim is true only when b is 0.
B.
Joe's claim is true for all values of b.
C.
Joe's claim is not true for any value of b.
D.
Joe's claim is true only when b is not zero.
Which statement BEST classifies Joe's claim?
A.
Joe's claim is true only when b is 0.
B.
Joe's claim is true for all values of b.
C.
Joe's claim is not true for any value of b.
D.
Joe's claim is true only when b is not zero.
D. Joe's claim is true only when b is not zero.
James is making omelettes for his family. He begins with a dozen eggs and each omelette takes 2 eggs. Which graph shows the number of eggs left based on the number of omelettes made?
A.
Graph shows Number of omelets on y-axis and number of eggs on x-axis. A line touching the points (0, 0) and (12, 6).
B.
Graph shows Number of eggs on y-axis and number of omelets on x-axis. A line touching the points (0, 12) and (6, 0).
C.
Graph shows Number of eggs on y-axis and number of omelets on x-axis. A line touching the points (0, 0) and (6, 12).
D.
Graph shows Number of omelets on y-axis and number of eggs on x-axis. A line touching the points (0, 6) and (12, 0).
A.
Graph shows Number of omelets on y-axis and number of eggs on x-axis. A line touching the points (0, 0) and (12, 6).
B.
Graph shows Number of eggs on y-axis and number of omelets on x-axis. A line touching the points (0, 12) and (6, 0).
C.
Graph shows Number of eggs on y-axis and number of omelets on x-axis. A line touching the points (0, 0) and (6, 12).
D.
Graph shows Number of omelets on y-axis and number of eggs on x-axis. A line touching the points (0, 6) and (12, 0).
C.
Graph shows Number of eggs on y-axis and number of omelets on x-axis. A line touching the points (0, 0) and (6, 12).
Graph shows Number of eggs on y-axis and number of omelets on x-axis. A line touching the points (0, 0) and (6, 12).
What is the domain of the function in the graph?
A.
-2 ≤ x ≤ 2
B.
0 ≤ x ≤ 2
C.
x is all real numbers less than or equal to 4
D.
x is all real numbers
A.
-2 ≤ x ≤ 2
B.
0 ≤ x ≤ 2
C.
x is all real numbers less than or equal to 4
D.
x is all real numbers
To determine the domain of a function, we need to look at the x-values on the graph. Since the graph does not have any restrictions or limitations on the x-values, the domain would be all real numbers.
The correct answer is D. x is all real numbers.
The correct answer is D. x is all real numbers.
1 answer