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svp [43]
3 years ago
5

Which equations have infinitely many solutions?

Mathematics
1 answer:
igomit [66]3 years ago
8 0

Answer:

4(x - 1) = 4x - 4

3x + 6 = 3(x + 2)

Step-by-step explanation:

The first equation is

5x - 1 = 5x + 1

We simplify to get;

- 1 = 1

This is not true, therefore this equation has no solution.

The second equation is

3x - 1 = 1 - 3x

Combine like terms:

3x + 3x = 1 + 1

6x = 2

x =  \frac{1}{3}

This has a unique solution.

The 3rd equation is

7x - 2 = 2x - 7

Group similar terms:

7x - 2x =  7 + 2 \\ 5x = 9 \\ x  =  \frac{9}{5}

The 4th equation is :

4(x - 1) = 4x - 4

4x - 4= 4x - 4 \\ x = x

This is always true. The equation has infinite solution.

The 5th equation is:

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

This also has infinite solution

The 6th equation is

3(x - 4) = 4(x - 3) \\ 3x - 12 = 4x - 12 \\ 3x - 4x =  - 12 + 12 \\ x = 0

It has a unique solution.

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Identify terms, coefficients, factors, and the constant: 5(2x + 4) + 3x
KATRIN_1 [288]

Answer:

Terms:

<em>5, 2x, 4, 3x</em>

Coefficients:

<em>2 in 2x, and 3 in 3x</em>

Constants:

<em>5 and 4</em>

Factors:

<em>5, 2x, and 4</em>

Step-by-step explanation:

For terms, all of them are terms because they are all in the expression.

For coefficients, coefficients are ones that have a variable (think of it as a <em>copilot</em> kind of thing).

For factors, factors are terms that are multiplied together together to get a <em>product</em> (the answer).

For constants, these are terms that stand alone, by themselves. They are not attached to variables.

The answer is <em>13x + 20, </em>too, just in case you needed that.

Have a great day and hope this helps!

5 0
3 years ago
Read 2 more answers
If f(x) = 2x to the second power - 10, find f(5)
Aleksandr [31]
F(5) = 2(5)^2 - 10
f(5) = 2(25) - 10
f(5) = 50 - 10
f(5) = 40
7 0
3 years ago
in class,12 students like to play vollyboll. if 30% of the students in the class like to play volleyball,how many students are i
iren [92.7K]

Answer:

Hope this helps! If you have any questions feel free to ask.

Step-by-step explanation:


6 0
3 years ago
18 tens 20 ones equal what hundreds
uysha [10]
200 is the answer so it would equal to 2 hundreds
8 0
3 years ago
Which is the graph of f(x) = StartRoot x EndRoot?
shusha [124]

Answer:

The 4th graph

Step-by-step explanation:

To determine which graph corresponds to the f(x) = \sqrt{x}   we will start with inserting some values for x and see what y values we will obtain and then compare it with graphs.

f(1) = \sqrt{1} = 1\\f(2) = \sqrt{2} \approx 1.41\\f(4) = \sqrt{4} = 2\\f(9) = \sqrt{9} = 3

So, we can see that the pairs (1, 1), (2, 1.41), (4, 2), (3, 9) correspond to the fourth graph.

Do not be confused with the third graph - you can see that on the third graph there are also negative y values, which cannot be the case with the f(x) =\sqrt{x}, the range of that function is [0, \infty>,   so there are only positive y values for f(x) = \sqrt{x}

6 0
3 years ago
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