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drek231 [11]
3 years ago
9

Which equation has no solution?​

Mathematics
1 answer:
lord [1]3 years ago
5 0

Answer:

Equation 5 + 2(3 + 2x) = x + 3(x + 1) has no solution.

Step-by-step explanation:

We are looking at two lines.

4(x + 3) + 2x = 6(x +2)

4x + 12 + 2x = 6x + 12

6x + 12 = 6x + 12

These are two identical lines, with an infinite number of solutions. (All points on the lines are the exactly the same).

5 + 2(3 + 2x) = x + 3(x + 1)

5 + 6 + 4x = x + 3x + 3

4x + 11 = 4x + 3

Both lines have the same gradient but have a different incline with the y axis. By definition, they are parallel to each other and there fore have zero solutions. Equation 5 + 2(3 + 2x) = x + 3(x + 1) has no solution, which is the answer we are looking for.

5(x + 3) + x = 4(x +3) + 3

5x + 15 + x = 4x + 12 + 3

6x + 15 = 4x + 15

These are two different lines with exactly one solution.

4 + 6(2 + x) = 2(3x + 8)

4 + 12 + 6x = 6x + 16

6x + 16 = 6x + 16

These are two identical lines, with an infinite number of solutions. (All points on the lines are the exactly the same).

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3 years ago
Please Please help !!
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Answer:

When y = |x + h|, the graph is shifted (or translated) <u>to the left.</u>

When y = |x - h|, the graph is shifted (or translated) <u>to the right.</u>

Step-by-step explanation:

Part A:

The parent function of vertex graphs are y = |x|, and any transformations done to y = |x| are shown in this format (also known as vertex form): y = a|x - h| + k

(h , k) is the vertex of the graph.

So, for the first part, what y = |x + h| is saying is y = |x -  (-h)|.

The -h is substituted for h, and negatives cancel out, resulting in x + h.

This translates to the left of the graph.

Part B:

For the second part, y = |x - h| looks just like the normal vertex form. In this one, we are just plugging in a positive value for h.

This translates to the right of the graph.

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The area of the mat is 2/3 m^2

Step-by-step explanation:

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Which is larger 143.0 millimeters or 143.0 decimeters?
Natali5045456 [20]
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1 </span><span>decimeter = 10⁻¹ m
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Answer:

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Step-by-step explanation:

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