Solve for x 2|x-6|+14=38

Mathematics

1 answer:

ale4655 [162]3 years ago

4 0

Answer:

x=18 x=-6

Step-by-step explanation:

2|x-6|+14=38

The first step is to isolate the absolute value

Subtract 14 from each side

2|x-6|+14-14=38-14

2|x-6|=24

Divide by 2 on each side

2/2|x-6|=24/2

|x-6| = 12

Now we can seperate the absolute value into two parts, the positive and the negative

x-6 =12 x-6 = -12

Add 6 to each side

x-6+6 =12+6 x-6+6 = -12+6

x=18 x= -6

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Which function rule describes the pattern in the table?

lakkis [162]

The correct answer is B.

In order to prove which of the function rules provided is the one corresponding to the schedule represented by the table, the different y-values need to be sustituted in the function rules. Only the correct function rule will yield the corresponding x-value.

Let's prove that option B is the correct one

FUNCTION B y= 5x - 14

If x= -4 --> substituting: 5(-4) - 14= -20 - 14= -34 therefore, y= -34 CORRECT
If x= -1 --> 5(-1)-14 = -5 - 14= -19 therefore y= -19 CORRECT
If x= 2 --> 5(2) - 14= 10-14= -4, therefore y= -4 CORRECT
If x= 4 --> 5(4)-14= 20-14= 6, therefore y=6 CORRECT
If x= 7 --> 5(7) -14= 35-14= 21, therefore y=21 CORRECT