-3(y+2)^2 - 5 + 6y
= -3(y^2 + 4y + 4) - 5 + 6y
= -3y^2 - 12y - 12 - 5 + 6y
= -y^2 - 6y - 17
Answer
(-1) y^2 + (-6) y + (-17)
Answer:
He brought 3 dozen cookies
She ate
of the bag of Doritos
She read 25 books
Step-by-step explanation:
∵ Mike makes 4 dozen cookies
∵ He brings 75% of them for a party at his school
- Multiply 75% by 4
∵ 75% =
∴ He brought =
× 4
∴ He brought = 3
He brought 3 dozen cookies
∵ Sam bought a bag of Doritos
∵ She ate only 40% of them
∵ 40% = 
∴ She ate =
× 1
∴ She ate = 
She ate
of the bag of Doritos
∵ Jamie took 50 books from the library
∵ She only read half of her whole stack
- Multiply half by 50
∴ She read =
× 50
∴ She read = 25
She read 25 books
Hey there :)
Before translating the sentence into mathematics, let r represent 'a number'
5 times a number = 5r
2 times that number = 2r
The difference between them = 5r - 2r
* Your equation
5r - 2r
* Solving the equation
= 5r - 2r
= 3r
Answer: 0.3741
Step-by-step explanation:
Poison probability ;
P(x) = [U(^x) e(^-U)] ÷ x!
Where U = mean
Note: e = exponential symbol
Number of checks that year = 171
Number of days in a year = 365
U = 171/365 = 0.468
Average checks per day = 0.4685
Probability that at least one check was written per day is can be calculated by;
P(not 0) = 1 - P(0)
Therefore,
P(x) = [U(^x) e(^-U)] ÷ x!
P(0) = [ 0.4685^0 * e^-0.4685] ÷ 0!
P(0) = [ 1 * 0.6259] ÷ 1
P(0) = 0.6259
Therefore,
P(not 0) = 1 - 0.6259 = 0.3741