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3 years ago

Find the volume of the region of the solid bounded by x=y, z=0, y=0, x=2, and 2x+2y+z=0.

Mathematics

1 answer:

Triss [41]3 years ago

5 0

Answer:

4 not equal to 0

Step-by-step explanation:

2(2)+2(0)+(0)=0

4+0+0=0

4=0

not equivalent

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| x - 1 | = 5x + 10 Check for extraneous solutions.

Ronch [10]

[x-1]=5x+10

We have two equations:
1) x-1=5x+10

x-1=5x+10
x-5x=10+1
-4x=11
x=-11/4

2) x-1=-(5x+10)

x-1=-(5x+10)
x-1=-5x-10
x+5x=-10+1
6x=-9
x=-9/6=-3/2

we have two possible solutions:
solution₁; x=-11/4
solution₂: x=-3/2

we check it out:
1) x=-11/4
[x-1]=5x+10
[-11/4 - 1]=5(-11/4)+10
[(-11-4)/4]=-55/4 + 10
[-15/4]=(-55+40) /4
15/4≠-15/4 This solution don´t work.

2) x=-3/2
[x-1]=5x+10
[-3/2 - 1]=5(-3/2)+10
[(-3-2)/2]=-15/2 + 10
[-5/2]=(-15+20)/2
5/2=5/2; this solution works.

Therefore:

Answer: x=-3/2.

8 0

3 years ago

Read 2 more answers

Unit activity: exponential and logarithmic functions

nirvana33 [79]

We will conclude that:

The domain of the exponential function is equal to the range of the logarithmic function.
The domain of the logarithmic function is equal to the range of the exponential function.

<h3>Comparing the domains and ranges.</h3>

Let's study the two functions.

The exponential function is given by:

f(x) = A*e^x

You can input any value of x in that function, so the domain is the set of all real numbers. And the value of x can't change the sign of the function, so, for example, if A is positive, the range will be:

y > 0.

For the logarithmic function we have:

g(x) = A*ln(x).

As you may know, only positive values can be used as arguments for the logarithmic function, while we know that:

$\lim_{x \to \infty} ln(x) = \infty \\\\ \lim_{x \to0} ln(x) = -\infty$

So the range of the logarithmic function is the set of all real numbers.

<h3>So what we can conclude?</h3>

The domain of the exponential function is equal to the range of the logarithmic function.
The domain of the logarithmic function is equal to the range of the exponential function.

If you want to learn more about domains and ranges, you can read:

brainly.com/question/10197594

3 0

2 years ago

Endeye needs to split 1/5 of the dinner left over from last week to feed her 3 siblings. What fraction of the original dinner wi

aleksandr82 [10.1K]

Answer:

They each had 1/20 of the original meal

Step-by-step explanation:

To begin, there are 4 people. Her siblings, and herself. She is splitting the 1/5 leftover to feed them. To do this, we simply take 1/5 and put it into a fraction to get 0.2. Next, we can put 0.2 / 4 into a calculator to get how much each person can get.

0.2 / 4 = 0.05.

Now, we need to turn it into a fraction to find out how much they had in fraction form of the original.

0.05 = 1/20

They each had 1/20 of the original meal

3 0

2 years ago

Solve the following equation 2x=12

Luden [163]

Let's solve your equation step-by-step.
2
x
=
12
Step 1: Divide both sides by 2.
2
x
2
=
12
2
x
=
6
Answer:
x
=
6

6 0

1 year ago

Wich number line represents the solution set for the 2x-6>6(x-2)+8

Fantom [35]

Well...
2x-6x>-12+8-6
-4x>-10
Attention! ">" change for "<" because we multiply both members for (-1)
x<10/4
It is the same to say (-infinite ; 10/4) or (-infinite ; 5/2) or (-infinite ; 2.5)
Good luck!
M.

3 0

3 years ago