Answer:
Step-by-step explanation:
discriminant=b²-4ac=8²-4(7)(2)=64-56=8
We know for the problem that the performer earned $120 at a performance where 8 people attend. We also know that he u<span>ses 43% of the money earned to pay the costs involved in putting on each performance, so we need to find the 43% of $120. To do that, we are going to divide 43% by 100%, and then multiply it by $120:
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Now we know that the performer uses $51.6 of $120 to pay the costs involved in putting on each performance. The only thing left to find his profits is subtract $51.6 from $120:

We can conclude that the performer makes a profit of $68.4 when 8 people attend his performance.
Answer:
-6 33/40
Step-by-step explanation:
2 5/8 * -2 3/5
Change each to an improper fraction
2 5/8 = (8*2+5)/8 = 21/8
2 3/5 = (5*2+3)/5 = 13/5
21/8 * -13/5
-273/40
Change to mixed number
40 goes into 273 6 times
6*40 = 240 273-240 =33
-6 33/40
Answer:
(3, 2)
Step-by-step explanation:
Given the 2 equations
y = 2x - 4 → (1)
3x + y = 11 → (2)
Substitute y = 2x - 4 into (2)
3x + 2x - 4 = 11
5x - 4 = 11 ( add 4 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Substitute x = 3 into (1) for corresponding value of y
y = (2 × 3) - 4 = 6 - 4 = 2
Solution is (3, 2)