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:
1. 4x = 15
2. 4(n - 3) = 24
3. 2n + 5 = 13
4. (3/4)n = 9
5. 6x - 4 = 8
Step-by-step explanation:
this should be correct. hope this helps!
Answer: 41.832
Step-by-step explanation:
I like to write decimals without decimals when multiplying. for this I would do
3486 x 12 which equals 41832 then You would move the decimal up from 3 spaces from the 2 from 41832 which would put the decimal between the 1 and 8
Answer:
Here, 
denotes the required number.
Step-by-step explanation:
Let denotes the required number that satisfies the following condition.
''seven times a number is less than or equal to a quantity that is 24 less than that same number''
Seven times a number is equal to 
Quantity that is 24 less than that same number is equal to 
Now find the inequality.
As seven times a number is less than or equal to a quantity that is 24 less than that same number,
The answer should be B.
5(6.86x)
