Add 3 to both sides so that the equation becomes 2x^2 + 7x - 6 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -7 ± √(7^2 - 4(2)(-6)) ] / ( 2(2) )
x = [ -7 ± √(49 - (-48) ) ] / ( 4 )
x = [ -7 ± √(97) ] / ( 4)
x = [ -7 ± sqrt(97) ] / ( 4 )
x = -7/4 ± sqrt(97)/4
The answers are -7/4 + sqrt(97)/4 and -7/4 - sqrt(97)/4.
Let number of senators = x, then:-
number of representatives = 5x - 25 so
x + 5x - 25 = 515
6x = 540
x = 90
number of reps = 515 - 90 = 425
so there are 90 senators and 425 representatives.
Answer:
(17y/8) - 101 or (17y - 808) / 8
Step-by-step explanation:
Please enclose the fractional coefficient 1/8 inside paretheses:
(1/8)y + 17 + 2y - 118.
Now combine like terms. (1/8)y + 2y comes to (1/8)y + 16y/8 = (17/8)y.
We thus have (17/8)y + 17 - 118. Leaving (17/8)y alone, evaluate 17 - 118:
(17y/8) - 101
You could leave your answer in this form, or combine the terms using the LCD 8:
17y - 808
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8
Answer:
4
Step-by-step explanation:
