Answer:
(-2, -8/3)
Step-by-step explanation:
2(-2) - 6y = 12
-4 -6y = 12
-6y = 16
y = -16/6 = -8/3
Answer: 
Step-by-step explanation:
According to the product rule of derivatives.

The given function : 
here ,
and 
Differentiate both sides with respect to x, we get
and 
![[\because \dfrac{d(ax)}{dx}=a\ , \dfrac{d(a)}{dx}=0 \ \&\ \ \dfrac{d(x^n)}{dx}=nx^{n-1}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cdfrac%7Bd%28ax%29%7D%7Bdx%7D%3Da%5C%20%2C%20%5Cdfrac%7Bd%28a%29%7D%7Bdx%7D%3D0%20%5C%20%5C%26%5C%20%5C%20%5Cdfrac%7Bd%28x%5En%29%7D%7Bdx%7D%3Dnx%5E%7Bn-1%7D%5D)
Then, Tge derivative of withe respect to x will be :




Hence, the derivative of the function is
.
the answer is 10. if you take the lcm of 5 and 2 you should get it.
Answer:
f(-3) = -20
Step-by-step explanation:
We observe that the given x-values are 3 units apart, and that the x-value we're concerned with is also 3 units from the first of those given. So, a simple way to work this is to consider the sequence for x = 6, 3, 0, -3. The corresponding sequence of f(x) values is ...
34, 10, -8, ?
The first differences of these numbers are ...
10 -34 = -24
-8 -10 = -18
And the second difference is ...
-18 -(-24) = 6
For a quadratic function, second differences are constant. This means the next first-difference will be ...
? -(-8) = -18 +6
? = -12 -8 = -20
The value of the function at x=-3 is -20.
_____
The attachment shows using a graphing calculator to do a quadratic regression on the given points. The graph can then be used to find the point of interest. There are algebraic ways to do this, too, but they are somewhat more complicated than the 5 addition/subtraction operations we needed to find the solution. (Had the required x-value been different, we might have chosen a different approach.)
Answer:
Angle A = Angle T
Angle B = Angle U
Angle C = Angle V
Step-by-step explanation:
The order that the angles are listed above shows you which angle in the first triangle corresponds to which angle in the other triangle. It tells you triangle ABC = triangle TUV. Since A and T are both listed first, they are equivalent. Angles B and U are both listed second, so they correspond to each other. And angles C and V are listed last, so they correspond to each other.