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Over [174]
2 years ago
10

Which one of these equations has one solution, and which has no solutions? (Math)

Mathematics
1 answer:
Naily [24]2 years ago
7 0

One solution means that x will only equal one number.

Many solutions means that no matter what number you replace x with, the equation will still be true.

No solution means that no matter what number you replace x with, the equation will be false, as both sides will not match.

One solution: x - 2 = 12

Check: Isolate the variable, x. Add 2 to both sides. Note the equal sign, what you do to one side, you do to the other:

x - 2 (+2) = 12 (+2)

x = 12 + 2

x = 14

Many solution: x + 3 = 3 + x

Check: Plug in numbers for x. If no matter what number you plug in, the equation is true, there is infinite amount of solutions:

If x = 1:

1 + 3 = 3 + 1

4 = 4

If x = 2:

2 + 3 = 3 + 2

5 = 5

etc.

No solution: x - 1 = x + 5

Check: No matter what number you plug in for x, both sides of the equation will not match. Check:

If x = 1:

1 - 1 = 1 + 5

0 ≠ 6

If x = 2:

1 - 2 = 2 + 5

-1 ≠ 7

etc.

~

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2 years ago
Determine the type of solution you will have if you get -6=6
egoroff_w [7]

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Step-by-step explanation:

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3 years ago
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Rus_ich [418]
First, you will subtract the $10 tip from the total earned, leaving you with $306.25 (earned from hours work). Your wage is $8.75/hr, so if you divide 306.25/8.75, you’ll get 35. You worked 35 hours to earn $306.25, and then got a $10 tip, bringing up your total to $316.25.
4 0
3 years ago
If r(x) = 2 – x2 and w(x) = x – 2, what is the range of ? (w0r)(x)
TiliK225 [7]

Answer:

The range would be all real numbers

Step-by-step explanation:

In order to find (wor)(x), we need to start with the w(x) equation and then input the r(x) equation for every x in the w(x) equation.

w(x) = x - 2

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Given this equation, we know that x can be all real numbers

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3 years ago
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