Answer:
negative
Step-by-step explanation:
if you are multiplying with a negative and a positive it will always be negative. if you are multiplying with 2 positives or 2 negatives it will be positive. 2 negatives equalling a positive.
<span>x+y=30.....(1) and x-y=2......(2) so(1)+(2)......x+y+x-y=30+2 so 2x=32...x=16 now apply x=16 in (1) so we get......16+y=30 so .......y=14</span>
Answer: 5/12 of the whole pizza
So we start we the whole pizza = 1
Then he ate 3/8:
1 - 3/8
And then 2/3 of what was left:
2/3(1 - 3/8)
2/3 - 1/4
8/12 - 3/12
5/12
Answer:
(B) 26°
Step-by-step explanation:
The angle at A made by the radius and the tangent is 90°. The angle at O is the same as arc AB, 64°. The acute angles in a right triangle are complementary, so the angle at C is the complement of 64°.
∠ACB = 90° -64°
∠ACB = 26°
Answer:
![f(x) =\sqrt{x} sin (x)](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%5Csqrt%7Bx%7D%20sin%20%28x%29)
And on this case we can use the product rule for a derivate given by:
![\frac{d}{dx} (f(x)* g(x)) = f'(x) g(x) +f(x) g'(x)](https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%7D%7Bdx%7D%20%28f%28x%29%2A%20g%28x%29%29%20%3D%20f%27%28x%29%20g%28x%29%20%2Bf%28x%29%20g%27%28x%29)
Where
and
And replacing we have this:
![f'(x)= \frac{1}{2\sqrt{x}} sin (x) + \sqrt{x}cos(x)](https://tex.z-dn.net/?f=%20f%27%28x%29%3D%20%5Cfrac%7B1%7D%7B2%5Csqrt%7Bx%7D%7D%20sin%20%28x%29%20%2B%20%5Csqrt%7Bx%7Dcos%28x%29)
Step-by-step explanation:
We assume that the function of interest is:
![f(x) =\sqrt{x} sin (x)](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%5Csqrt%7Bx%7D%20sin%20%28x%29)
And on this case we can use the product rule for a derivate given by:
![\frac{d}{dx} (f(x)* g(x)) = f'(x) g(x) +f(x) g'(x)](https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%7D%7Bdx%7D%20%28f%28x%29%2A%20g%28x%29%29%20%3D%20f%27%28x%29%20g%28x%29%20%2Bf%28x%29%20g%27%28x%29)
Where
and
And replacing we have this:
![f'(x)= \frac{1}{2\sqrt{x}} sin (x) + \sqrt{x}cos(x)](https://tex.z-dn.net/?f=%20f%27%28x%29%3D%20%5Cfrac%7B1%7D%7B2%5Csqrt%7Bx%7D%7D%20sin%20%28x%29%20%2B%20%5Csqrt%7Bx%7Dcos%28x%29)