Answer:
x = 0
Step-by-step explanation:
(x)=5x+19(x)=-2x+15
We move all terms to the left:
(x)-(5x+19(x))=0
We add all the numbers together, and all the variables
x-(+24x)=0
We get rid of parentheses
x-24x=0
We add all the numbers together, and all the variables
-23x=0
x=0/-23
x=0
The answer to your question is $1978
Answer:
The correct answer B) The volumes are equal.
Step-by-step explanation:
The area of a disk of revolution at any x about the x- axis is πy² where y=2x. If we integrate this area on the given range of values of x from x=0 to x=1 , we will get the volume of revolution about the x-axis, which here equals,

which when evaluated gives 4pi/3.
Now we have to calculate the volume of revolution about the y-axis. For that we have to first see by drawing the diagram that the area of the CD like disk centered about the y-axis for any y, as we rotate the triangular area given in the question would be pi - pi*x². if we integrate this area over the range of value of y that is from y=0 to y=2 , we will obtain the volume of revolution about the y-axis, which is given by,

If we just evaluate the integral as usual we will get 4pi/3 again(In the second step i have just replaced x with y/2 as given by the equation of the line), which is the same answer we got for the volume of revolution about the x-axis. Which means that the answer B) is correct.
Answer:
<h3>It's answer is D. 11 </h3>
Here we can see there is modulus so
while doing calculation
| -3-8 |
| -11 |
Here it is modulus so - changes into +
so it's answer is 11.
-3x<9. The way to figure this out is to divide by -3 to get x by itself. Remember, when dividing by a negative, you need to flip the inequality sign.
x>-3 is your answer.
I hope this helps!