Answer: Hello!
In this problem you can chose 3 options:
the type of cone, the first flavour, and the second flavour.
a) In how many different ways can your order one cone and two scoops of ice cream?
You have 5 options for cones, 9 options for the first ball of ice cream, and 9 options for the second ball of ice cream (because you can repeat flavour) then the total number of combinations is the product of this 3 numbers, this is:
5*9*9 = 405 combinations
b) Here we cant order the same flavour of ice cream, then:
we still have 5 options for cones, 9 options for the first ball of ice cream, and this time 8 options for the second ball ( because we need to remove the flavour that we picked in the first ball of ice cream) then the number of combinations is:
5*9*8 = 360 combinations.
Answer:
see explanation
Step-by-step explanation:
Given
2x² + x - 1 = 2 ( subtract 2 from both sides )
2x² + x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 3 = - 6 and sum = + 1
The factors are - 2 and + 3
Use these factors to split the x- term
2x² - 2x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(2x + 3) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - 
Answer:
-4 and 0
Step-by-step explanation:
You just count 2 to the left and 2 to the right
Answer:
D
Step-by-step explanation:
Answer:
2(x^2+3x+2) = 2(x+1)(x+2)
Answer is D.
Step-by-step explanation:
