Answer:
a
Step-by-step explanation:
The answer is 50. First, you need to multiply 34.6 by 34.6, and multiply 15.4 by 15.4, and subtract the products which gives you 960. Next you subtract 15.4 from 34.6, giving you 19.2. Lastly, you divide 19.2 into 960 and you get 50.
Answer:
There is no point of the form (-1, y) on the curve where the tangent is horizontal
Step-by-step explanation:
Notice that when x = - 1. then dy/dx becomes:
dy/dx= (y+2) / (2y+1)
therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:
0 = ( y + 2) / (2 y + 1)
And we obtain y = -2 as the answer.
But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:
(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2 (instead of zero)
Then, we conclude that there is no horizontal tangent to the curve for x = -1.
Answer:
18/95
Step-by-step explanation:
At first, there are 20 cubes, 9 of which are black. The probability that the first cube is black is P = 9/20.
After the first cube is selected, there are 19 cubes left, 8 of which are black. The probability that the second cube is black is P = 8/19.
The total probability is:
P = (9/20) (8/19)
P = 18/95
Answer:
6x2+3x+1
Step-by-step explanation:
6x2+3x+1