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3 years ago

What is the domain of the absolute value function below?

Mathematics

2 answers:

vovikov84 [41]3 years ago

5 0

The domain is all real numbers. (-infinity, infinity)
You can put any real number x value into the function.

barxatty [35]3 years ago

5 0

Answer:

Domain is set of real numbers or (-∞,+∞)

Step-by-step explanation:

The domain of any function is the set of values x can take . Range of a function is the set of values y can take.

In the graph of the function shared x can take all values whether it be positive or negative numbers .

Hence Domain is set of real numbers .We can write the Domain in interval notation as :(-∞,+∞)

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someone please explain to me how to find the area PLEASE! Find the area and perimeter of quadrilateral ABCD below. Explain your

Lunna [17]

Answer:

Part A) The area of the figure is $24\ units^{2}$

Part B) The perimeter of the figure is $20\ units$

Step-by-step explanation:

step 1

Find the area of the figure

we know that

The area of the figure is equal to the area of triangle ABD plus the area of triangle BCD

The area of triangle is equal to

$A=\frac{1}{2}bh$

Area of triangle ABD

Observing the graph

$b=BD=(-2+8)=6\ units$

$h=(9-5)=4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

Area of triangle BCD

Observing the graph

$b=BD=(-2+8)=6\ units$

$h=(5-1)=4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

The area of the figure is

$12\ units^{2}+12\ units^{2}=24\ units^{2}$

step 2

Find the perimeter of the figure

we know that

The perimeter of the figure is equal to

$P=AB+BC+CD+AD$

we have

$A(-5,1),B(-8,5),C(-5,9),D(-2,5)$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$d=\sqrt{(5-1)^{2}+(-8+5)^{2}}=5\ units$

Find the distance BC

$d=\sqrt{(9-5)^{2}+(-5+8)^{2}}=5\ units$

Find the distance CD

$d=\sqrt{(5-9)^{2}+(-2+5)^{2}}=5\ units$

Find the distance AD

$d=\sqrt{(5-1)^{2}+(-2+5)^{2}}=5\ units$

substitute the values

$P=5+5+5+5=20\ units$

7 0

3 years ago

Alguien me puede explicar los binomios en matematica, porfavor :)

Keith_Richards [23]

Answer: SEE EXPLANATION (en ingles)

Step-by-step explanation:

A binomial is an algebraic expression of the sum or the difference of two terms.

En espanol: Un binomio es una expresión algebraica de la suma o la diferencia de dos términos.

7 0

3 years ago

Please help!!!!!!!

krok68 [10]

Divide by 3 get a remainder of 2
5, 8, 11, 14, 17, 20, ...
Divide by 5 get a remainder of 2
7 , 12, 17, 23, ...
Divide by 7 get a reminder of 5
12, 19, 26, 33, ...

And find a number in all three lists

Not the most convenient way for sure, but since 47 works it will not take too long

7 0

4 years ago

Alvarez has $650 deposited into his bank account. The account earns simple interest of 5. 5% per year. No other money is added o

Elena-2011 [213]

Answer:

$793

Step-by-step explanation:

The amount of money in an account earning simple interest is given by the formula ...

A = P(1 +rt)

where P is the principal invested at rate r for t years.

Using the values given in the problem statement, the account balance can be found to be ...

A = $650(1 +0.055×4) = $650×1.22 = $793

There will be $793 in the account after 4 years.

4 0

2 years ago

4(x-2)-5x>-1 grater or equal I’m bad at this

Lunna [17]

X<-7 so the answer would be greater*

4 0

3 years ago