Mike watches a caterpillar climbing on a tree trunk. he writes the expression -5/8 - (-1/8 - 1/2) to show the change, in feet, of the caterpillar’s height on the tree trunk. which of the following expressions are equivalent to
-5/8 - (-1/8 - 1/2) ?
choose all that apply.
a. -5/8 + (1/8 + 1/2)
b. -5/8 + 5/8
c. -5/8 - (1/8 + 1/2)
d. -5/8 - (-1/8 + (-1/2))
e. -5/8 + (1/8 - 1/2)
f. -5/8 - 1/8 - 1/2

A.

B.

D.

Step-by-step explanation:

- Mike watches a caterpillar climbing on a tree trunk

- He writes the expression

- We need to find the equivalent expressions to this expression

A.

∵ The expression has a

   common sign negative in the bracket

∴

∵ (-)(-) = (+)

∴

∵ The expression is

   equivalent to the expression

B.

∵ In the expression , lets

  add the two terms in the bracket

∴ The expression =

∵ (-)(-) = (+)

∴ The expression =

∴ The expression is equivalent to

   the expression

D.

∵ In the expression , we can

  write the bracket as

  because (+)(-) = (-)

∴ The expression is equivalent to

   the expression

* The equivalent expressions are A , B and D

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

step-by-step explanation: