Answer:
Final result :
x + 2
—————
x - 1
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 7 • 3 = 21
Step-2 : Find two factors of 21 whose sum equals the coefficient of the middle term, which is -10 .
-21 + -1 = -22
-7 + -3 = -10 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -3
7x2 - 7x - 3x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
7x • (x-1)
Add up the last 2 terms, pulling out common factors :
3 • (x-1)
Step-5 : Add up the four terms of step 4 :
(7x-3) • (x-1)
Which is the desired factorization
Please mark brainliest and have a great day!
Answer:
y = x²/4 + x/2 + 21/4 ⇒ -9 ≤ x ≤ 7
Step-by-step explanation:
∵ x = 2t - 1
∴ 2t = x + 1 ⇒ t = (x + 1)/2
∵ y = t² + 5
∴ y = [(x + 1)/2]² + 5 = (x² + 2x + 1)/4 + 5
y = x²/4 + x/2 + 1/4 + 5 = x²/4 + x/2 + 21/4
∵ -4 ≤ t ≤ 4
∴ -9 ≤ x ≤ 7
Answer:
At every pick the probability may vary depending upon your guess is right or wrong.
Step-by-step explanation:
First pick:
Equal probability for both red and blue = 1/2
Second pick:
case 1: If first pick was red.
then predict blue because the probability of blue exceeds the probability of red.
P(b) = 2/3
P(r) = 1/3
case 2: if first pick was blue.
then predict red because the probability of red exceeds the probability of blue.
P(r) = 2/3
P(b) = 1/3
Third pick:
case 1: R,B
then predict either red or blue due to equal probabilities.
note: Similar case for B,R.
case 2: RR
then obviously you will predict blue because P(b)=1 and vice versa for the case if the first two draws were BB.
Fourth Pick:
Fourth pick would be obvious because you are left with only remaining colored ball for which the probability must be 1.
Answer:
24.2 I think
Step-by-step explanation:
21
+ 17.2
38.2
- 15
23.2
+ 1
24.2