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2 years ago

Evaluate f g for x=-2(fg)(-2)= ??

Mathematics

1 answer:

Lemur [1.5K]2 years ago

8 0

Answer:

(fg)(-2) = 96

Step-by-step explanation:

$(fg)(-2)=6(-2)^{4} =6(16)=96$

Hope this helps

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The length of a rectangle is shown below: On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis two

Degger [83]

9514 1404 393

Answer:

3. C(−1, −5), D(2, −5)

Step-by-step explanation:

The given points are 2 -(-1) = 3 units apart horizontally, so the remaining points will need to be 18/3 = 6 units below, vertically. Translating the given points down 6 gives ...

D = A -(0, 6) = (2, 1) -(0, 6) = (2, -5)

C = B -(0, 6) = (-1, 1) -(0, 6) = (-1, -5)

The two points required to make a rectangle with an area of 18 square units are ...

C(-1, -5), D(2, -5)

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The area of a rectangle is the product of length and width. If the area is 18 square units, and the width is 3 units, then the length must be 6 units. 3×6=18.

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3 years ago

Lucky Joe won $32,000,000 in a lottery. Every year for 10 years he spent 50% of what was left. How much did Lucky Joe have after

aniked [119]

Answer:

31,250

Step-by-step explanation:

32,000,000x0.5= 16,000,000

repeat the process 10 times and you've got 31,250

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3 years ago

Louis brings 79 pencils to school. After he gives each of his 15 classmates an equal number of pencils, he will give any leftove

slavikrds [6]

Answer:

a. $4\ pencils$

b. His teacher will receive more pencils (See explanation).

Step-by-step explanation:

a. The total number of pencils Louis brings to school is:

$total\ pencils=79$

Then, in order to calculate the number of pencils Louis’s teacher will receive after he gives each of his 15 classmates an equal number of pencils, you need to solve the division show in the picture attached.

Notice that the remainder obtained is: $4$ .

<em>This means that Louis’s teacher will receive 4 pencils.</em>

b. If Louis decides instead to take an equal share of the pencils along with his classmates, his teacher will receive more pencils; because the amount of pencils each classmate will receive will be less. This means that the number of pencils leftover will increase, leaving more pencils for his teacher.

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3 years ago

Read 2 more answers

How does making a list help you find common factors

Flura [38]

Is the greatest factor that two or more numbers have in common. One way to find the GCF is to make lists of the factors for two numbers and then choose the greatest factor that the two factors have in common.

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3 years ago

Read 2 more answers

e) Given the following: Let X = {1, 2, 3, 4) and a relation R on X as R= {(1,2), (2,3), (3,4)}. Find the reflexive and transitiv

Naddika [18.5K]

Answer:

The answer is $\{(1,1),(2,2),(3,3),(4,4),(1,2)(2,3)(3,4),(1,3),(1,4)\}$

Step-by-step explanation:

Remember that a reflexive relation $R\subset \mathcal{P}(X)$ , where $\mathcal{P}(X)$ is the power set of $X$ , is one which conteins the ordered pairs of the form $(a,a)$ , for $a\in X$ .

So, As the reflexive and transitive closure of $R$ (that we will denote by $\overline{R}$ ) is in particular reflexive, we must add to $R$ the elements $\{(1,1) , (2,2),(3,3),(4,4) \}$

A transitive relation $R$ is one in which if the pair $(a,b)$ and the pair $(b,c)$ are in there, then the pair $(a,c)$ must be there too.

So, to complete the relation $R$ to be reflexive and transitive we must add the pair $(1,3)$ (because $(1,2),(2,3)$ are in $R$ ), the pair $(2,4)$ , and the pair $(1,4)$ because we added the pair $(2,4)$ .

Therfore we have that $\overline{R}=\{(1,1),(2,2),(3,3),(4,4),(1,2)(2,3)(3,4),(1,3),(1,4)\}$ .

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3 years ago