3/7x + 4 = -1/2
subtract 4 from both sides
3/7x= -1/2 - 4
3/7x= -4 1/2
divide both sides by 3/7
x= -4 1/2 ÷ 3/7
convert -4 1/2 to improper fraction
x= (-4*1+1)/2 ÷ 3/7
x= -9/2 ÷ 3/7
multiply by reciprocal of 3/7
x= -9/2 * 7/3
multiply numerators & denominators
x= (-9*7)/(2*3)
x= -63/6
x= -10 3/6
simplify 3/6 by 3
x= -10 1/2
CHECK:
3/7x + 4 = -1/2
3/7(-63/6) + 4= -1/2
(3*-63)/(7*6) + 4= -1/2
-189/42 + 4= -1/2
-4 1/2 + 4= -1/2
-1/2= -1/2
ANSWER: x= -63/6 or -10 1/2
Hope this helps! :)
The answer is D. 3x^3+4x^2-11x+3
-5, -4, 0, 2, 3. From smallest to largest
Y=mx+b now just re do them
<span>There are 4 long rows and 5 short rows in the theater. x represents the number of chairs in each long row and y represents the number of chairs in each short row.
So, total number of chairs in 4 long rows= 4x
Total number of chairs in 5 short rows = 5y
Total number of chairs in the theater on a normal day = 4x + 5y
When 2 chairs are added to each long row, the number of chairs will change to (x+2).
So, total number of chairs in 4 long rows will be = 4(x+2)
When 3 chairs are added to each short row, the number of chairs will change to (y+3)
So, total number of chairs in 5 short rows will be = 5(y+3)
Thus, total number of chairs in the theater in rush day = 4(x+2) + 5(y+3)
= 4x + 8 + 5y + 15
= 4x + 5y + 23
Thus we can say the number of chairs increase by 23 as compared to a normal day.
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