The sum of the roots = -7/6
The product of the roots is -2/18
Therefore the quadratic equation is
18x^2 + 21x - 2
Answer: 5 years
14,800 students enrolled
Step-by-step explanation:
Let x represent the number of years and
Let y represent the number of students enrolled
College A: y = 12,300 + 500x
College B: y = 18,550 - 750x
Use substitution Method to solve:
12,300 + 500x = 18,550 - 750x
+750x +750x
12,300 + 1250x = 18,550
-12,300 -12,300
1250x = 6250
x = 5
Input x = 5 into one of the equations to solve for y.
y = 12,300 + 500x
= 12,300 + 500(5)
= 12,300 + 2500
= 14,800
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Answer:
22s - 9
Step-by-step explanation:
The perimeter (P) is the sum of the 4 sides , that is
P = 2s + 7 + 9s - 5 + 6s - 10 + 5s - 1 ( collect like terms )
= (2s + 9s + 6s + 5s) + (7 - 5 - 10 - 1)
= 22s + (- 9)
= 22s - 9
Answer:
a. The student's conclusion is incorrect because the solution to the system of equations 3x + 4y = 32 and 5x + 5y = 50 is (8, 2).
Step-by-step explanation:
The second equation needs to be ...
5x +5y = 50
because the wording "short of $18" means that the actual cost of that purchase would be $18 more than the $32 that Harry had. 18+32 = 50.
The only answer choice that shows this as the second equation is choice A.
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In fact, the solution to the system of equations is (8, 2), as can be seen in the graph below.
