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:
<u></u>
Step-by-step explanation:
Simplifying the numerator :
⇒ (-5m⁷n⁰p⁵)(2m⁴n³p²)³
⇒ (-5m⁷p⁵)(8m¹²n⁹p⁶)
⇒ (-5)(8)(m)⁷⁺¹²n⁹(p)⁵⁺⁶
⇒ <u>-40m¹⁹n⁹p¹¹</u>
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Dividing by the denominator :
⇒ 
⇒
Answer: 37) 170
Step-by-step explanation:
85 - (-85) = 85 + 85 = 170
The situation that is defined by the linear equation P = 40 + 22t is "The initial amount is 40 and the rate of change is 22".
<h3>What is a linear equation?</h3>
Given:
P = 40 + 22t
where,
- P = total price
- 40 = initial amount
- 22 = rate of change
- t = number of rate of change
So,
if t = 3
P = 40 + 22t
= 40 + 22(3)
= 40 + 66
P = 106
Therefore, the initial amount is 40 and the rate of change is 22 describes the linear equation P = 40 + 22t
Learn more about linear equation:
brainly.com/question/14323743
