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andreev551 [17]
3 years ago
10

Which expression correctly represents “six more than the quotient of three and a number, decreased by eight”?

Mathematics
2 answers:
Hatshy [7]3 years ago
4 0
6 + 3/x - 8

( six more = 6 +)
(The quotient of three and a number = 3/x)
(Decreases by eight = -8)
Aliun [14]3 years ago
3 0

Answer:

(\frac{3}{x}+6)-8

Step-by-step explanation:

The given statement is

<em>"Six more than the quotient of three and a number, decreased by eight".</em>

<em />

"Six more than" indicates the sum between the quotient and 6.

"The quotient of three and a number" indicates a fraction where the numerator is 3 and the denominator is x, a number.

"Decreased by eight" indicates a subtraction between the quotient an 8 units".

If we unit all parts of the statements, we would have

(\frac{3}{x}+6)-8

The parenthesis just indicates the order of the operations as the problem states.

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The calculation is incorrect, because the slope is defined as

m_{AB} = \dfrac{y_A-y_B}{x_A-x_B}

So, Emma has inverted numerator and denominator: she has calculated the inverse of the slope.

The correct calculation would be

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4 0
4 years ago
2. Which of the following systems of inequalities represents the graph?
Rom4ik [11]

Answer:

Option: D is the correct answer.

D)  –2x + y ≥ 4

         x + y < 2

Step-by-step explanation:

We are asked to find the linear inequality that represents the following graph.

Clearly from the graph we could observe that one line is dotted and the other is solid line.

i.e. one inequality is strict while the other is a inequality with equality sign.

<u>Dashed line:</u>

It passes through (0,2) and  (2,0).

Hence, the equation of line is:

y-2=\dfrac{0-2}{2-0}\times (x-0)\\\\\y-2=\dfrac{-2}{2}\times x\\\\y-2=-x\\\\x+y=2

As the shaded region is towards the origin.

Hence, the inequality will be:

x+y<2.

<u>Solid line:</u>

The line passes through (-2,0) and (0,4).

hence equation of line is:

y-0=\dfrac{4-0}{0-(-2)}\times (x+2)\\\\

i.e

y=\dfrac{4}{2}\times (x+2)\\\\y=2\times (x+2)\\\\y=2x+4\\\\-2x+y=4

Now, as the shaded region is away from the origin hence the inequality which will be used is:

-2x+y\geq 4

Hence, option: D is the correct answer.

D.   –2x + y ≥ 4

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8 0
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hzhnrbchchjnncnchgkqlpqjehsnkkeplfgbhfssgbchkekemdmjcjj2oohuetywioqpeuywiopddhuxnncbnsmmajsnbdbvxhdj jndnnfhj b3jjdjdjd ndjnnfhcnn jndncjkakksj hdhjchjcj ndnnbcjc bdhnxjjdjjdk njjdjdjckkf hdjjdhxjjx hdhjcjjcjnrfj hsjnk

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