I believe this is what is wanted
Answer:
see explanation
Step-by-step explanation:
(a)
Given
x² + 5x + 6
Consider the factors of the constant term ( + 6) which sum to give the coefficient of the x- term ( + 5)
The factors are 3 and 2, since
3 × 2 = 6 and 3 + 2 = 5, hence
x² + 5x + 6 = (x + 3)(x + 2) ← in factored form
(b)
To solve
x² + 5x + 6 = 0 ← use the factored form, that is
(x + 3)(x + 2) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 2 = 0 ⇒ x = - 2
Answer:
1. The domain for the number of fruit cups is 0 minimum and 20 maximum.
[0 < x < 20].
2. [10 < y < 70]
Step-by-step explanation:
1. The domain is 0 to 20 because there are 20 people total who will each have a fruit cup
2. The range is $10 to $70 because the minimum price is $10 without any fruit cups and $70 when there are 20 fruit cups.
Let x = the smaller numberLet 3x + 15 = the larger numberx + 3x + 15 = 634x = 48x = 123(12) + 15 = 51
Answer:
7.2 feet
Step-by-step explanation:
plug in x = 3 since we are looking for the height after the 3rd bounce
4(0.6)(3)
4(1.8)
7.2