Number of solutions: no roots
Type of solution: Not Real
Step-by-step explanation:
We need to identify the number of solutions and their types using the discriminant.
We are given: 
Rearranging:

Discriminant can be found by: 
where b=-40, a=10 and c=41
Putting values:

So, Discriminant is -40
If the discriminant is less than zero i.e -40 then there are no real roots.
So, Number of solutions: no roots
Type of solution: Not Real
Keywords: discriminant
Learn more about discriminant at:
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Answer:
Dimes = x = 52
Nickels = y = 39
Step-by-step explanation:
Let
Dimes = x
Nickels = y
x + y = 91 (1)
0.10x + 0.05y = 7.15 (2)
From (1)
x = 91 - y
Substitute x = 91 - y into (2)
0.10x + 0.05y = 7.15
0.10(91 - y) + 0.05y = 7.15
9.10 - 0.10y + 0.05y = 7.15
- 0.10y + 0.05y = 7.15 - 9.10
-0.05y = -1.95
y = -1.95 / 0.05
= 39
Substitute y = 39 into (1)
x + y = 91
x + 39 = 91
x = 91 - 39
x = 52
Dimes = x = 52
Nickels = y = 39
Answer:
40x = 1800 +25x
Step-by-step explanation:
Answer:
y = 0.3
Step-by-step explanation:
Solve for y:
(3.2y - 1.8) - (5.2 y + 3.4) = -5.8
-(5.2y + 3.4) = -5.2y - 3.4:
3.2y - 1.8 -5.2y - 3.4 = -5.8
Grouping like terms, 3.2y - 1.8 - 5.2y - 3.4 = (3.2y - 5.2y) + (-1.8 - 3.4):
(3.2y - 5.2y) + (-1.8 - 3.4) = -5.8
3.2y - 5.2y = -2 y:
-2y + (-1.8 - 3.4) = -5.8
-1.8 - 3.4 = -5.2:
-5.2 - 2y = -5.8
Add 5.2` to both sides:
(5.2 - 5.2) - 2y = 5.2 - 5.8
5.2 - 5.2 = 0:
-2y = 5.2 - 5.8
5.2 - 5.8 = -0.6:
-2y = -0.6
Divide both sides of -2y = -0.6 by -2:




y = 0.3