The sum of two numbers is 36. the smaller number is 20 less than the larger number. what are the numbers

smaller number = 8, larger number = 28

Step-by-step explanation:

Let x=smaller number, so x+20

Is the larger number.

The sum of both numbers must equal 36, so x + (x + 20) = 36; 2x + 20 = 36; now subtract 20 from both sides and you have 2x= 16; divide both sides by 2 and you have x = 8, so this is the smaller number. The bigger number is 8 + 20 = 28, and when you add them together you get 36

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.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

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}

step-by-step explanation: