Answer:
The system of equations has a one unique solution
Step-by-step explanation:
To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:
1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or
2) if the slopes have the exact same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or
3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)
So we write them in slope -intercept form:
First equation:
second equation:
So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.
Answer:
Correct answer is option C.
Step-by-step explanation:
Trapezoid ABCD ≅ trapezoid A'B'C'D'
You can reflect trapezoid ABCD across the x-axis and then rotating it 90°clockwise.
Step-by-step explanation:
a ) 12 , 17 , 22 , 27 , 32
according to the given sequence, they added 5 in the numbers
b ) 83 , 77 , 71 , 65 , 59
in this given sequence they just subtracted 6 from the number
hope this answer helps you dear...take care and may u have a great day!
Answer:
Solution is (-3, 0). Lincoln.
Step-by-step explanation:
a. Lincoln's method: His an error was on the third line.
When distributing the 5 over the parentheses he did not multiply the -y by the 5.
He wrote -y while it should be -5y.
Claire's method: Mistake on line 3. She incorrectly distributed the negative over ( -3 - x) . Correct is 3 + x not 3 - x.
b. The correct solution is (-3, 0) which Lincoln got, just by luck, because if we substitute these values into the 2 equations they fit:
5(-3) - 0 = -15.
-3 + 0 = -3.
Answer:
While the graph is not shown, it would be the graph of g(x) = -2x.
Step-by-step explanation:
A reflection across the y-axis negates the x-coordinate of every point. To find the function associated with this, we would replace x with -x:
g(x) = f(-x) = 2(-x) = -2x
The function would be g(x) = -2x.
