9514 1404 393
Answer:
(1, 1)
Step-by-step explanation:
Did you watch the video?
The y-coefficients have opposite signs and one is a multiple of the other. It is convenient to divide the second equation by 2 and add that to the first.
(5x -2y) +1/2(4x +4y) = (3) +1/2(8)
7x = 7 . . . . simplify
x = 1 . . . . . divide by 7
__
4(1) +4y = 8 . . . . substitute for x in the second equation
4y = 4 . . . . . . . . subtract 4
y = 1 . . . . . . . . . . divide by 4
The solution is (x, y) = (1, 1).
Are there numbers?
If there are numbers add b and c then add d to the a then divide a with the b and c and you get the answer if that even makes sense
Answer:
(f⋅g)(x)

Step-by-step explanation:
For the first part of the question we have two functions


If the expression refers to the multiplication of f and g, then:
(f⋅g)(x)
So we multiply the function f(x) with the function g(x)
(f⋅g)(x)
(f⋅g)(x)
For the second part we have the functions:

We wish to find (f - g) (x). We know that
![(f - g)(x) = f(x) - g(x)\\\\(f - g)(x) = x^3 - 2x^2 + 12x - 6 - [4x^2 - 6x + 4]\\\\(f - g)(x) = x^3 - 2x^2 + 12x - 6 -4x^2 + 6x - 4](https://tex.z-dn.net/?f=%28f%20-%20g%29%28x%29%20%3D%20f%28x%29%20-%20g%28x%29%5C%5C%5C%5C%28f%20-%20g%29%28x%29%20%3D%20x%5E3%20-%202x%5E2%20%2B%2012x%20-%206%20-%20%5B4x%5E2%20-%206x%20%2B%204%5D%5C%5C%5C%5C%28f%20-%20g%29%28x%29%20%3D%20x%5E3%20-%202x%5E2%20%2B%2012x%20-%206%20-4x%5E2%20%2B%206x%20-%204)

Keep in mind that "ln" is just a shortcut for the logarithm with a base of "e".
Answer:
19.6 cubic centimeters
Step-by-step explanation:
The ratio of two similar 3D figures' volumes is equivalent to the ratio of their corresponding lengths (whether it's width, height, length, radius, etc) cubed.
Here, we know the cones are similar, and we know the smaller radius is 2 and the larger radius is 3. Then the ratio of the volume of the smaller one to the volume of the larger one is
.
We also know the actual volume of the larger cone is 66. So, if x is the volume of the smaller cone, we have the proportion:
x / 66 = 8 / 27
Cross-multiply:
27x = 66 * 8 = 528
Divide by 27:
x = 528/27 ≈ 19.6
The answer is thus 19.6 cubic centimeters.
<em>~ an aesthetics lover</em>