"A and B must be disjoint" is the one among the following choices given in the question that must be true for <span>P (A and B) = P (A) * P (B). The correct option among all the options that are given in the question is the fourth option or option "D". I hope that this is the answer that has come to your great help.</span>
You can perform the horizontal line test on the original to see if the inverse will be a function. You will not perform the horizontal line test on the inverse.
Answer:
-1, -2
Step-by-step explanation:
Since multiplication by 0 will result in 0, any value of x resulting in 0
(-1+1)(-1+2)=0
0x1=0
(-2+1)(-2+2)=0
-1x0=0
Answer:
Number of Pennies = 30
Number of Dimes = 90
Step-by-step explanation:
Let the number of pennies be p and number of dimes be d
We can write 2 equations and use substitution method to solve.
<u>Total value of all the coins is 9.30:</u>
We can write:
0.01p + 0.1d = 9.30
Note: value of penny is 0.01 and dime is 0.1, in dollars
<u>Number of dimes is 3 times number of pennies:</u>
We can write:
d = 3p
Now putting 2nd equation in first and solving for p:
0.01p + 0.1(3p) = 9.30
0.01p + 0.3p = 9.30
0.31 p = 9.30
p = 9.30 /0.31
p = 30
Now we know d = 3p, so d = 3 (30) = 90
Hence
Number of Pennies = 30
Number of Dimes = 90
Answer:
Step-by-step explanation:
Alright, lets get started.
The two chords are intersection each other at point B.

Both are opposite angles that is 39 degrees.
Angle ABC forms the arc AC which is given 41 degree.
The arc DE will be same length as arc AC because angle ABC and angle DBE are same that is 39 degrees.
So, arc DE = 41
So, the answer is DE = 41 degrees .... Answer : option D
Hope it will help :)