Hey There!
The formula of the general form equation is
0 = Ax + By + C
As we look at the answer choices we see that the last choice best represents the correct answer.
x + y + 2 = 0
Best matches the formula given and therefore that would be the correct answer.
Thus, the answer would be x + y + 2 = 0
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Answer: 190
Step-by-step explanation:
55 +50+90= 195
then round it and you get 195
Answer:
Victor originally had $80
Step-by-step explanation:
Let Victor have $4x
Let Susie have $7x
Since Victor spent half his money, he now has $2x
Susie spent $60 and thus now has $(7x - 60)
The final ratio of Victor's money to Susie's money is therefore 2x : $(7x - 60). This is given 1:2. Now we just need to solve the proportion by cross-multiplying
2x : (7x - 60) = 1:2
1 × (7x - 60) = 2 × 2x
7x - 60 = 4x
3x = 60
x = 20
Therefore Victor originally had $4x = $80.
Answer:
- B) One solution
- The solution is (2, -2)
- The graph is below.
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Explanation:
I used GeoGebra to graph the two lines. Desmos is another free tool you can use. There are other graphing calculators out there to choose from as well.
Once you have the two lines graphed, notice that they cross at (2, -2) which is where the solution is located. This point is on both lines, so it satisfies both equations simultaneously. There's only one such intersection point, so there's only one solution.
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To graph these equations by hand, plug in various x values to find corresponding y values. For instance, if you plugged in x = 0 into the first equation, then,
y = (-3/2)x+1
y = (-3/2)*0+1
y = 1
The point (0,1) is on the first line. The point (2,-2) is also on this line. Draw a straight line through the two points to finish that equation. The other equation is handled in a similar fashion.
Answer:
She has 15 dollar.
Explanation
If every meter costs 2 dollars, then 5 meter would cost 10 dollars and 7 meter would cost 14 dollar. Now we take a number when subtracted from 10, we get 5 dollar and when the same number subtracted from 14 we get 1 dollar left. Now if we take 15 dollar, you'll see that when you subtract 10 from it you get 5 dollar and when you subtract 14 from it you get 1 dollar. Therefore 15 satisfies the given condition in the question.
$15 - $10 = $5
$15 - $14 = $1
