Given : 7y=8x-14 and y =6
We plug in 6 for y in the given equation
Statement Reason
7y=8x-14, y=6 Given
7(6)= 8x-14 Substitution
56 = 8x Add 14 on both sides
7 = x divide by 8 on both sides
Hence proved x=7
<span>divide both sides of the equation by 2 to get:
(x + 1/4)^2 = -7/16 ***** this is your solution.
continue further to solve for x if you care to, but the problem did not require you to do this.
take the square root of both sides of the equation to get:
x + 1/4 = plus or minus sqrt(-7/16)
subtract 1/4 from both sides of the equation to get x = -1/4 plus or minus sqrt(-7/16).
since sqrt(-7/16) is the same as sqrt(7/16) * i, your solution becomes:
x = -1/4 plus or minus sqrt(7/16) * i.
your problem was to convert it to the form of (x + p)2 = q.
the solution to that is:
</span><span>(x + 1/4)^2 = -7/16 </span><span>subtract 1 from both sides of the equation to get:
2x^2 + x = -1
factor out a 2 on the left side of the equation to get:
2 * (x^2 + x/2) = -1
complete the squares on x^2 + x/2 to get:
2 * ((x+1/4)^2 - (1/16)) = -1
simplify by distibuting the multiplication to get:
2 * (x+1/4)^2 - 2*(1/16) = -1
simplify further to get:
2 * (x+1/4)^2 - 1/8 = -1
add 1/8 to both sides of the equation to get:
2 * (x + 1/4)^2 = -7/8 .
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Answer:
Local governments in several states impose a local income tax. Local taxes are in addition to federal and state income taxes. Local income taxes generally apply to people who live or work in the locality. As an employer, you need to pay attention to local taxes where your employees work.
If the local income tax is a withholding tax, then you are required to withhold it from employee wages. Or if the local income tax is an employer tax, you must pay it.
Local income taxes are typically used to fund local programs, such as education, parks, and community improvement.
Answer:
Just connect points Y and D with a straight line to make YD. Do the same for YE and YF, just attach Y to points E and F with a straight line.
The median of variable A is the middle value when the all the values for variable A is arranged from smallest to greatest.
The values for variable A are
1, 2, 4, 4, 5, 6, 7, 9
The middle value is between 4 and 5. The median is between 4 and 5.
(4 + 5) /2 = 4.5
The median is 4.5
