HELP ME PLEASE WHAT IS 24a³ ÷ 8a²
1 answer:
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Answer:
x = -4, 5/2
Step-by-step explanation:
A quadratic can be solved may ways, including graphing, factoring, and the quadratic formula. You can also check possible answers by making use of the relationships between solutions and the coefficients.
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A graph is attached. It shows the solutions to be -4 and 5/2.
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When factored, the equation becomes ...
(2x -5)(x +4) = 0 . . . . . has solutions x=-4, x=5/2 (these make the factors zero)
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Using the quadratic formula, the solutions of ax^2 +bx +c = 0 are found from ...
x = (-b±√(b²-4ac))/(2a)
x = (-3±√(3²-4(2)(-20))/(2(2)) = (-3±√169)/4 = {-16, +10}/4
x = {-4, 5/2}
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For ax^2 +bx +c = 0, the solutions must satisfy ...
product of solutions is c/a = -20/2 = -10
Only the first and last choices have this product.
sum of solutions is -b/a = -3/2
Only the first choice (-4, 5/2) has this sum.
Answer:
Step-by-step explanation:
From the table you can see that
- 45 customers own cat and dog;
- 78 own only cat, then 78+45=123 customers own cat;
- 125 own only dog, then 125+45=170 customers own dog;
- 52 own neither cat, nor dog;
- 78+45+125+52=300 customers in total;
- 300-123=177 customers do not own cat;
- 300-170=130 customers do not own dog.
Two-way table is