Which of the following expressions are equivalent to (x + y) − z ?

a. z + (x + y)

b. x +(y − z)

c. none of the above

First, let's take a look at the terms in the original expression. Since its just addition and subtraction, we can get rid of the parentheses, leaving behind just .

As long as an answer is made up of a positive , a positive , and a negative , its correct!

Removing the parentheses in choice A leaves us with , which has a positive rather than a negative , so it's incorrect.

Removing the parentheses in choice B on the other hand gives us , which means it's the correct answer! This is a good example of the associative property of addition in action.

15

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

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y

=

−

2

find the upper bound of the range.

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y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: