Answer:
- Only one solution
- (x, y) = (-0.8, -3.6)
Step-by-step explanation:
You know there is only one solution because the ratio of x- and y-coefficients is different in the two equations. That means the lines will have different slopes, so must intersect in exactly one point.
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The y-coefficients are opposites, so you can eliminate the y-variable by adding the equations:
(2x -y) + (3x +y) = (2) + (-6)
5x = -4
x = -4/5 = -0.8
Substituting this into the second equation, we have ...
3(-0.8) +y = -6
y = -3.6 . . . . . . . add 2.4 to both sides
The solution is (x, y) = (-0.8, -3.6).
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You can also find the solution by graphing (or using a graphing calculator).
Well 5 + 4 is 9, and so if the girls are 5 in the ratio, the fraction would be 5/9. I hope this helps!
Answer:
"Susanna starts out slower than Anita but still wins the race."
Step-by-step explanation:
The distance of the race is "5 miles". We can see the "endpoint" of each race's graph and corresponding y value. That is 5 miles.
Now, we look at corresponding "x" value, that is the time it took.
For Susannah, it is 5.5 minutes
For Anita, it is 7 minutes.
So, clearly, Susanna wins the race.
Now, we look at the "slopiness" of each person's line graph. This is the speed at which they were going.
The red line (Susanna) is quite sharper than anita, so her speed (rate) is more. But initially, we can see that the blue line (Anita) was sharper than Susanna but later gradually fell. So we can say:
Susanna started out slower than Anita, but ultimately won.
From the answer choices, last one is right -- "Susanna starts out slower than Anita but still wins the race."
Answer:
Is this Pizza hut or Papa Johns
Step-by-step explanation:
