Which of the following represents the value of x

What is the measure of angle c if angle e is equal to 115 degrees ?

Makovka662 [10]

Here is the answer 30 degrees

5 0

3 years ago

If f(x)=-x^2-1 and g(x)=x+5 then f(g(x)) =

sammy [17]

Answer:

The composition of f(g(x)) is:

$f(g(x)) = -x^2-10x-26$

Step-by-step explanation:

Given two functions are:

$f(x) = -x^2-1\\g(x) = x+5$

we have to find the composition of f and g which can also be written as: fog(x) or f(g(x))

The method to find the composition is that we will put the function g in place of x in function f

$f(g(x)) = -(x+5)^2-1\\=-(x^2+25+10x)-1\\=-x^2-25-10x-1\\=-x^2-10x-26$

Hence,

The composition of f(g(x)) is:

$f(g(x)) = -x^2-10x-26$

7 0

3 years ago

If P and Q are two sets then n( P-Q) means ?

Lapatulllka [165]

$\huge{\mathbb{ \tt{ANSWER}}}$

I shall use the symbol U for union

^ for intersection

~ for complement

The property of set subtraction states that for any sets X and Y, X-Y = X ^ Y~

That is in words, X throw away Y is the same as the intersection of X and the complement of Y

or X and anything NOT in Y

At the SET level, the proof looks like this:

(P-Q) U (Q-P) = « given

(P^Q~) U (Q ^ P~) = « property of set subtraction

(P U Q) ^ (P U P~) ^ (Q~ U Q) ^ (Q~ U P~) = « distributive property

(P u Q) ^ (Q~ U P~) = « Union of any set with it's complement is the universal

set which gets dropped by any intersection of a non-universal set

(P u Q ) ^ (Q ^ P)~ = « De Morgan's Law

(P u Q) - (Q ^ P) = « property of set subtraction

(P u Q) - (P ^ Q) « commutative property

At the ELEMENT level, the proof looks like this:

» Proves left side is subset of right side

If x is in (P-Q) U (Q-P) then x is in (P-Q) OR x is in (Q-P)

If x is in P-Q then x is in P but not in Q.

Then X is in P U Q.

Since x is not in Q, x is NOT in P ^ Q

Hence x is in P U Q but NOT in P^Q, which

means it is an element if (P U Q) - (P ^ Q)

Therefore x is an element of the set defined by the right side, which means (P-Q) U (Q-P) is a subset of (P U Q) - (P ^ Q)

« proves right side is subset of the left side

If x is an element of (P U Q) - (P ^ Q) then

x is in (P U Q) but NOT in (P^Q)

Since x is in P U Q, x is in P OR x is in Q.

Since x is NOT in (P^Q) then x is NOT in BOTH P and Q.

Hence x is in either P or Q but not both.

If x is in P, then x is not in Q, so x is in P-Q.

Therefore x is in (P-Q) U (Q-P).if x is in Q, then x is not in P, so x is in Q-P.Therefore x is in (Q-P) U (P-Q).There x is an element of set defined by the left side, which menas (P u Q)-(P ^Q) is a subset of (P-Q) U (Q-P).

#CarryOnLearning

#LetsEnjoyTheSummer

8 0

3 years ago

A teacher weighed 145 lbs in 1986 and weighed 190 lbs in 2007. What was the average rate of change in weight? What does this mea

abruzzese [7]

It’s C because it works and it should help you get it right

3 0

3 years ago

Shante has a box with a volume of 458 cubic units. The box is filled with 458 cubes, with no gaps or overlaps. Which statement m

Aleonysh [2.5K]

The correct answer is that the length of one edge must be 1 unit. One cubic unit has a length, width, and height of 1 unit. V = 1 x 1 x 1.

6 0

4 years ago