Answer:
Total cereal=3/4
Cereals eaten each day =1/10
Days it will last=3/4÷1/10
=3/4×10
=30/4
=15/2
=7 1/2 days
Hi there!
α, β, γ are the zeroes of the polynomial x³ + px² + qx + 2
Then,
• α + β + γ = - p ---(i)
• αβ + βγ + γα = q. ---(ii)
• αβγ = - 2. ---(iii)
We're Given :-
αβ + 1 = 0 Or αβ = - 1
Substitute " αβ = - 1 " in eqn. (iii) :-
(- 1) γ = - 2
γ =
γ = 2
Now. Accr'ding to the question :-
2p + q + 5 = - 2 (α + β + γ) + (αβ + βγ + γα) + 5
= - 2 (α + β + γ) + (αβ + [ γ (β + α) ] + 5
= - 2 (α + β + 2) + [ - 1 + 2 ( α + β ) ] + 5
= - 2α - 2β - 4 - 1 + 2α + 2β + 5
= 5 - 5
= 0
∴ 2p + q + 5 = 0
~ Hope it helps!
<h3>
Answer: (x+1)(x+3)</h3>
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Explanation:
Let's assume it factors into (x+a)(x+b)
The goal is to find the two numbers a and b.
FOIL out (x+a)(x+b) to get x^2+(a+b)x+ab
Note how a+b is the middle term and ab is the last term.
In the original expression, 4 is the middle term and 3 is the last term.
So we need to find two numbers that
There are two ways to multiply to 3 and they are
- 1 times 3 = 3
- -1 times -3 = -3
But only the first way has the factors add to 4. So that means a = 1 and b = 3.
Therefore (x+a)(x+b) = (x+1)(x+3)
And x^2+4x+3 = (x+1)(x+3)
Answer: 30
Step-by-step explanation:
follow PEMDAS (P=parenthesis E=exponents M=multiplication D=division A=addition S=subtraction) go in that order so it is 30+0×6 do multiplication first to get 30+0