Answer:
(a) 5/7 chance
(b) 2/7 chance
(c) 5/7 chance
Step-by-step explanation:
Event X: There are 3 letters that come before "D". A, B, and C. There is a 3 out of 7 chance of picking one of those letters. (3/7)
Event Y: There are 4 letters in "C A G E". Those 4 letters are in the 7 first letters of the alphabet meaning that they are in our pile of tiles. There is a 4 out of 7 chance of picking one of those letters. (4/7)
(a) Since there is a 3/7 chance of Event X happening and a 4/7 chance of Event Y happening, there is a <u>5/7 chance</u> of either Event X or Event Y happening since tiles "A" and "C" are included in both events.
(b) Since there is a 3/7 chance of Event X happening and a 4/7 chance of Event Y happening, there is a <u>2/7 chance</u> of both X and Y happening since there are only 2 tiles that are the same in both events, "A" and "C". (We are only allowed to pick one tile)
(c) The complement of Event Y is 1-4/7=<u>5/7 chance</u>.
1)
(x-3)(x-1)
2)
(x+3)(x-1)
3)
(x+4)(x+2)
4)
(x+5)(x-3)
5)
(2x+4)(x-4)
6)
3x(x+2)
7)
(x+4)(x-4)
8)
(2x+4)(2x+8)
9)
(2x+1)(x-3)
10)
have to use quadratic
11)
(x-10)(x-2)
12)
(3x-4)(2x+1)
Answer:
the A is right
Step-by-step explanation:
We have (f+g)(x) = f(x) +g(x)
So f(x) + g(x) = 3x^2 + 2x – 1 and we know g(x) = 2x -2
or f(x) + 2x-2 = 3x^2 + 2x – 1
f(x) = 3x^2 + 2x – 1 - ( 2x -2)
f(x) = 3x^2 + 2x – 1 - 2x +2 \
finally
f(x) = 3x^2 + 1, and the A is right.
Have a good day
Two numbers that multiply to -2 could be
-1 and 2
Or
-2 and 1.
Since -1+2=1, -1 and 2 are the numbers you are looking for.
Hope this helps!