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horrorfan [7]
2 years ago
10

An equation is shown below:

Mathematics
1 answer:
shusha [124]2 years ago
5 0

Answer:

x = 0

Step-by-step explanation:

combine like terms:

(4x − 1) + (2x + 2) = 1

4x + 2x = 6x

-1 + 2 = 1

6x + 1 = 1

-1 -1

6x = 0

----- -----

6 6

x = 0

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HEEEEEEEELLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Debora [2.8K]

Answer:

6

Step-by-step explanation:

This problem centers on recognizing the relationship between fractions and repeating decimals.

<u></u>

Note the following:

\frac{1}{3}=0.33333333333333333333333333333333333333333333333...  

or more simply \frac{1}{3}=0.\bar{3}

This means that 2\frac{1}{3}=2.\bar{3}

Going back to the original expression, 3\frac{2}{3}+2.\bar{3}  simplifies to 3\frac{2}{3}+2\frac{1}{3}

Next, adding mixed numbers.  For adding mixed numbers, whole number parts and fractional parts can be added separately <em>(this is because of the associative and commutative properties of addition)... because </em>

3\frac{2}{3}+2\frac{1}{3} means the same thing as

(3+\frac{2}{3})+(2+\frac{1}{3})

Changing the order, we can write it as

3+2+\frac{2}{3}+\frac{1}{3}

Adding the whole number parts, 3+2 is 5.

Next, adding the fraction parts:

For adding fractions, one must have a common denominator (the bottom part of the fraction must be the same).  Once they are the same, the denominator just sort of "hangs out" until the end without changing, and the numerators (the tops) are added together.

Fortunately, the denominators are already the same.  So, add the numerators, and the denominator will stay as a 3.

\frac{2}{3}+\frac{1}{3}

\frac{1+2}{3}

\frac{3}{3}

It is important to recognize that any fraction* where the number on the top matches the number on the bottom, the fraction is equivalent to 1.

<em>*(except if the number we're talking about is zero)</em>

So, the fraction parts added together, are equivalent to 1, and the whole number parts added were equal to 5.  Returning to our expression...

3+2+\frac{2}{3}+\frac{1}{3}

5+\frac{3}{3}

5+1

6

7 0
2 years ago
Determine if the following relations represent y as a function of x.
lana [24]
<h3>Answers:</h3>
  • A) No, it is not a function
  • B) Yes it's a function
  • C) Not a function
  • D) Yes it's a function
  • E) Yes it's a function

================================================

Explanation:

If y has an exponent of 2, 4, 6, etc (basically any even number) then it leads to having inputs with multiple outputs.

Consider something like y^2 = x. If x = 100, then y = 10 or y = -10 are possible. A function can only have exactly one y output for any valid x input. Similar issues happen for things like y^4 = x and so on. So this is why A and C are not functions.

The other equations do not have y values with such exponents, so we can solve for y and have each x input lead to exactly one y output. Therefore, they are functions.

5 0
3 years ago
12.
Verdich [7]

Answer:

C

Step-by-step explanation:

The elevati0on of sea level is 0 km and the elevation of the summit is 10 km

4 0
3 years ago
I’m not sure if I’m correct but <br> a. Find the slope of the line <br> b. state a point on the line
Agata [3.3K]

the equation of a line in point-slope form is

y - b = m(x - a)

where m is the slope and (a, b ) is a point on the line

y + 1 = \frac{3}{5}(x + 5) is in this form

(a) with slope = \frac{3}{5}

(b) point on the line = (- 5, - 1 ) = (a, b)


7 0
3 years ago
How much water is needed to fill a cylinder? This question is asking you to calculate the _____.
elena55 [62]

Answer:

volume

of course, how <u>much</u> water is asking about the capacity of cylinder, meaning it's volume in this case.

4 0
2 years ago
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