Answer:
(x +1) (x + 5)
Step-by-step explanation:
Factorization of x²+6x+5
To factorise this quadratic expression we'll find 2 factors of 5 that when added gives the coefficient of x which is
Factors = +1 and +5
Sum = +6, product = +5
Rewriting equation
x² + x + 5x + 5
Factorising
x ( x +1) +5 ( x + 1)
(x +1) (x + 5)
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Answer:
7.701
Step-by-step explanation:
First of all, a positive average rate of change means that the function is increasing, so the answer can only be A->B or B->C.
The average rate of change is defined as

i.e. as the ratio between the vertical and horizontal gain.
In order to go from point A to point B, you gain 1 unit horizontally and 5 units vertically. So, the average rate of change is 5/1=5.
In order to go from point B to point C, you gain 1 unit horizontally and 3 units vertically. So, the average rate of change is 3/1=3.
Answer:

Step-by-step explanation:
we know that
The volume of a trough is equal to

where
B is the area of equilateral triangle
L is the length of a trough
step 1
Find the area of equilateral triangle B
The area of a equilateral triangle applying the law of sines is equal to

where


substitute


step 2
Find the volume of a trough

we have


substitute

