There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)
There's no solution to this particular system because the two lines are parallel.
How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.
The line on the left passes through the points (-1, 0) and (0, -2), so it has slope
(-2 - 0)/(0 - (-1)) = -2/1 = -2
The line on the right passes through (0, 2) and (1, 0), so its slope is
(0 - 2)/(1 - 0) = -2/1 = -2
The slopes are equal, so the lines are parallel.
Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.
The equation given in the question has two unknown variables in the form of "x" and "y". The exact value of "x" and "y" cannot be determined as two equations are needed to get to the exact values of "x" and "y". This equation can definitely be used to show the way for determining the values of "x" in terms of "y"and the value of "y" in terms of "x". Now let us check the equation given.
2x - 5y = - 15
2x = 5y - 15
2x = 5(y - 3)
x = [5(y - 3)]/2
Similarly the way the value of y can be determined in terms of "x" can also be shown.
2x - 5y = - 15
-5y = - 2x - 15
-5y = -(2x + 15)
5y = 2x + 15
y = (2x +15)/5
= (2x/5) + (15/5)
= (2x/5) + 3
So the final value of x is [5(y -3)]/2 and the value of y is (2x/5) + 3.
Answer:
None of these choices are correct.
Step-by-step explanation:
If a bond is quoted at 99.875, it means that it is sold at 99.875% of the face value;
Face value = 1000
Therefore, Price = 0.99875 * 1000
Price = $998.75
If Leona pays 5.5% of the selling price, it means that she is paying additional cost which will make the total cost more than the quoted price;
5.5% of 998.75 is;
0.055*998.75 = $54.93
The total cost = $998.75 +$54.93
= $1053.68
Therefore, none of the given choices is correct.
Answer:
your answer will be a. .12 minutes
Step-by-step explanation:
this is your answer because you will add .12 to .08 to get your answer
Answer:
500 and 700
Step-by-step explanation:
It says '7 hundreds' referring to 700. and it then say the second number has 2 fewer, two fewer hundreds is 200. so the two numbers are 500 and 700.
