Answer:
The expression simplifies to 
.
Step-by-step explanation:
The expression
can be rearranged and written as
In this form the 
terms in the numerator and in the denominator cancel to give
The 
are present both in the numerator and in the denominator, so they also cancel, and the fraction 
simplifies to 
, so finally our expression becomes:
Which is our answer:)
Answer:
$385
Step-by-step explanation:
This would be 50x7=350
And 60 is 10 over 50, we half his salary($3.50), and multiply $3.50 by that extra 10. coming to $35. Add 35 to 350 to get his $385 60 day salary
Answer:
Determine the next step for solving the quadratic equation by completing the square.
0 = –2x2 + 2x + 3
–3 = –2x2 + 2x
–3 = –2(x2 – x)
–3 + = –2(x2 – x + )
StartFraction negative 7 Over 2 EndFraction = –2(x – StartFraction 1 Over 2 EndFraction)2
StartFraction 7 Over 4 EndFraction = (x – StartFraction 1 Over 2 EndFraction)2
The two solutions are Plus or minus StartFraction StartRoot 7 EndRoot Over 2 EndFraction
-7/2 = -2(x - ½)²
Step-by-step explanation:
0 = –2x^2 + 2x + 3
Subtract 3 from each side
-3 = –2x^2 + 2x
Factor out the -2
-3 =- 2(x^2 -x)
Take the coefficient of x and divide by 2 and square it
-1 /2 = -1/2 ^2 = 1/4
Add it to each side Remember the -2 on the outside so we need to multiply it by -2
-2 *1/4 = -1/2
-3 -1/2= -2(x^2 -x +1/4)
-7/2 = -2(x^2 -x +1/4)
-7/2 = -2(x-1/2)^2
7/2 = -2(x - ½)²
