Equation answer and receive 10 points!! Help Please!!!!?

Question

Show work.

Evaluate: If d = -7 and c = 1/3, find:

l d-3c l

(l) indicates absolute value brackets

Answer 1

l d-3c l
l -7-3(1/3) l
l -7-1l
l -8 l

so the answer is 8

Answer 2

Hey there!

Here's the answer. I'll show my work as detailed as I could.

|d-3c| --> Write down the problem.
d=-7, c=1/3 --> Write down the values for the variables.
|-7-3(1/3)| --> Substitute -7 for d and 1/3 for c.
|-7-1| --> Simplify 3(1/3). Since multiplying 3 with 1/3 is the same as dividing 3 and 3, the expression simplifies to 1.
|-8| --> Simplify -7 and -1. You could think of the sum of -7 and -1 as the sum of 7 and 1, multiplied by -1. Either way the expression simplifies to -8.
8 --> By the definition of an absolute value. The definition states that |a|=a and |-a|=a. For example, |5|=5, but |-5| does not equal to -5.

The answer is 8.

Hope it helps!

Answer 3

I assume the "|" refer to absolute values. Thus:

| (-7) - 3(1/3)| = | -7 -1| = 8

The reason the question equals positive 8 is because of the absolute value brackets, these brackets are used to denote distance away from 0 on a numberline and do not include a positive or negative number. I hope this helps.

Answer 4

l (-7) - 3(1/3) l
= l -7 - 1 l
= l -8 l = 8

Answer 5

If d = -7 and c = 1/3,
l d-3c l = |(-7) - 3(1/3)| = | -7 - 1| = | -8 | = 8

Answer 6

l d-3c l = I -7 -3(1/3) I = I -7 - 1 I = I -8 I= 8

Answer 7

take the problem in two steps.
first solve the problem within the absolute value brackets
-7 -3(1/3) = -7-1 = -8
now take the absolute value of -8
making the answer 8

Answer 8

I-7 - 3(1/3)I
I-7 - 1I
I-8I=8

Absolute value is the distance of the number you have from zero on a number line. That is why absolute value is ALWAYS positive, because you cannot have negative distance. ANSWER= 8

Answer 9

l d-3c l
=|-7 -3(1/3| = |-7-1| = |-8| = 8
The absolute value is always positive. It can never be negative. |-15|= -15 is impossible.

Answer 10

| -7 -3*1/3 | = | -7 - 1 | = |-8| = 8