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scoray [572]
3 years ago
13

In the equation below, for what value of c does x = 4? 1 / (2x + 4) = 3x-c

Mathematics
1 answer:
rodikova [14]3 years ago
3 0

Answer:

Option D.

Jenn's answer is not correct. She got it substituting c=4 into the equation and solving for "x".

Step-by-step explanation:

Given the following equation:

\frac{1}{2}(2x + 4) = 3x-c

Since you need that x=4, you hace to substitute that value into the equation:

\frac{1}{2}(2(4) + 4) = 3(4)-c

Now you need to solve for "c":

\frac{1}{2}(8 + 4) = 12-c\\\\\frac{12}{2}= 12-c\\\\6=12-c\\\\c+6=12\\\\c=12-6\\\\c=6

Therefore for a  a value of c=6, you get x=4

Then, the you can identify that the correct answer is the one given in the Option D.

Jenn made a mistake, because she substituted c=4 into the equation and then solve for "x":

\frac{1}{2}(2x + 4) = 3x-(4)\\\\x+2=3x-4\\\\2+4=3x-x\\\\6=2x\\\\\frac{6}{2}=x\\\\x=3

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After 11 weeks, Darnell′s savings account will have a total of $8,360.

Step-by-step explanation:

The data provided is as follows:

   n:    1        2       3        4

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Consider the data for f (n).

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The nth term of an arithmetic sequence is:

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Compute the value of f (11) as follows:

f(11)=\frac{11}{2}[(2\times260)+(11-1)\times 100]

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Given H(6,7) and I(-7,-6), if point G lies 1/2 of the way along line segment HI, Santiago argues that point G is located at the
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Given the points H(6,7) and I(-7,-6).

If point G lies \frac{1}{2} of the way along line segment HI.

Therefore, we can say that the point G divides the line segment HI in the ratio 1:1.

So, by using the cross section formula we can determine the coordinates of point G.

For the given points say (x_1, y_1) and (x_2, y_2) divided is in the ratio m_1 : m_2, the coordinates are (\frac{m_1x_2+m_2x_1}{m_1+m_2} , \frac{m_1y_2+m_2y_1}{m_1+m_2} )

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= (-0.5 , 0.5)

Hence, the coordinates of G are (-0.5 , 0.5).

So, Santiago argues that point G is located at the origin. The point G is located at (-0.5, 0.5). Therefore, he is not correct.

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