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Mathematics

2 answers:

sukhopar [10]4 years ago

4 0

Hello there! The lines between the numbers represent absolute value. In case you don't know, absolute value is the distance from 0, and it is always positive. For this, the absolute value of -6 is 6 and the absolute value of -0.4 is 0.4. 6 + 0.4 is 6.4. There. You chose the right answer choice. The answer is 6.4.

ira [324]4 years ago

3 0

The answer is 6.4 hope this helps

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Find a number x such that g(x) = -4

mel-nik [20]

Answer:

C: x = 7

Step-by-step explanation:

The easiest way to do this is to simply try all of the x-vales given as options.

Option 1: x = -1

Since $-1 \leq 0$ , we'll use the first equation.

$g(x)=\mid x \mid - 2\\g(-1)=\mid -1 \mid - 2 = 1 - 2 = -1$

As we can see, g(-1) is not -4.

Option 2: x = 3

Since $0 < 3 < 4$ , we'll use the 2nd equation.

$g(x) = x-3\\g(3) = 3-3 = 0$

Not -4.

Option 3: x = 7

Since $4 \leq 7$ , we'll use the 3rd equation.

$g(x) = 3-x\\g(7) = 3-7 = -4$

Tada! We have found a number such that g(x) = -4, it is 7. Since we only need to find a number, not all numbers, we don't have to check the last option. However, if you're curious:

Option 4: x = 4

Since $4 \leq 4$ (less than <em>or equal to</em>), we'll use the 3rd equation.