Find any points of discontinuity for the rational function... y=x-3/x^2-3x-10
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Answer:
Step-by-step explanation:
Volume of cylinder:
<u>Bottom cylinder:</u>
1 inch = 2.54 cm
diameter = 14 in
r = 14/2 = 7 in
r = 7 *2.54 = 17.78 cm
h = 4 in = 4*2.54 = 10.16 cm
Volume = 3* 17.78 * 17.78 * 10.16
= 9635.59 in³
<u>Upper cylinder:</u>
diameter = 12 in
r = 12/2 = 6in
r = 6*2.54 = 15.24 cm
h = 12 in = 12*2.54 = 30.48 cm
Volume = 3 * 15.24 *15.24 * 30.48
= 21237.63 in³
Volume of the object = 9635.59 + 21237.63
= 30873 cm³
The only ordered pair that is a solution to the given system of equations is (-2, -6)
<h3>System of Linear Equations </h3>From the question, we are to determine if each ordered pair is a solution to the given system of equations
The given system of equations is
-9x + 2y = 6
5x - 3y = 8
- For (7, 9)
That is,
x = 7, y = 9
Putting the values into the first equation
Is -9(7) + 2(9) = 6
-63 + 18 = 6
-45 ≠ 6
Thus, (7,9) is not a solution
- For (0, 3)
That is,
x = 0, y = 3
Putting the values into the first equation
Is -9(0) + 2(3) = 6
0 + 6 = 6
6 = 6
The ordered pair satisfies the first equation
Testing for the second equation
Is 5(0) - 3(3) = 8
0 - 9 = 8
-9 ≠ 8
Thus, (0, 3) is not a solution
- For (5, -4)
That is,
x = 5, y = -4
Putting the values into the first equation
Is -9(5) + 2(-4) = 6
-45 - 8 = 6
-53 ≠ 6
Thus, (-5,4) is not a solution
- For (-2, -6)
That is,
x = -2, y = -6
Putting the values into the first equation
Is -9(-2) + 2(-6) = 6
18 - 12 = 6
6 = 6
The ordered pair satisfies the first equation
Testing for the second equation
Is 5(-2) -3(-6) = 8
-10 + 18 = 8
8 = 8
The ordered pair satisfies the second equation
∴ The ordered pair that is a solution to the system of equations is (-2, -6)
Hence, the only ordered pair that is a solution to the given system of equations is (-2, -6)
Learn more on System of equations here: brainly.com/question/8630769
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