.0562 is the smallest number
(2x + 3) • (x + 3)
2x • x = 2x^2
2x • 3 = 6x
3 • x = 3x
3 • 3 = 9
6x and 3x combine to get 9x, which when all written out is equal to your original trinomial.
Answer:
Step-by-step explanation:
<u>Find the first implicit derivative using implicit differentiation</u>
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<u>Use the substitution of dy/dx to find the second derivative (d²y/dx²)</u>
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Answer:
Mark needs 110 ft. fencing to surround all 4 gardens.
Step-by-step explanation:
Mark wants to fence 4 rectangular gardens. So we calculate the perimeter of the each garden by this formula
P = 2(L) + 2(W)
Total Length of the garden = 
= 
Length = 18.5 feet
Total width of the garden = 
= 
Width = 9.0 feet
Perimeter of the garden = 18.5 + 9 = 27.5 feet
Mark wants to fence 4 garden
Therefore, 27.5 × 4 = 110 feet.
Mark needs 110 ft. fencing to surround all 4 gardens.
Answer:
The ball will reach a height of 5 ft by the 4th time.
Step-by-step explanation:
The initial height of the ball is 40 ft, when it bounces from the floor once the height will be 20 ft, the second time it'll be 10 ft, and so on. The sequence that can represent the maximum height of the ball after each bounce is:
{40, 20, 10,...}
This kind of sequence is called a geometric progression, in this kind of progression the next number is related to the one before it by the product of a constant called ratio, in this case 1/2. To calculate a specific position in this sequence we only need the ratio and the first number, using the formula below:
a_n = a*r^(n-1)
Where n is the position we want to know, a is the first number and r is the ratio. In this case we have:
a_4 = 40*(1/2)^(4-1) = 40*(1/2)^3 = 40/8 = 5
The ball will reach a height of 5 ft by the 4th time.
