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.
Check the picture below.
a) is asking what is the initial height, and that occurs right before the balloon is shot up, at 0 seconds, namely at x = 0.
Answer:
B.
Step-by-step explanation:
As you move left on the number line, the value of the number decreases. So, as -2.75 occurs before -3, it has greater value.
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Proportional is the relationship two numbers share. for instance, 3 : 6. for every three, there is six. for every one, there is two.
a table would be proportional if the top numbers and the bottom numbers corresponds, such as 1 on the top and 2 on the bottom. it would continue like 2 : 4, so on and so forth.
you can tell if fractions are proportional by using cross multiplication.