Answer:
Step-by-step explanation:
(g-f)(x) = 9x³ - 4x² + 10x - 55 - [ 4x³ +3x² - 5x + 20]
To remove the parenthesis, take - inside, multiply f(x) by -1
= 9x³ - 4x² + 10x - 55 - 4x³ - 3x² + 5x - 20
Now, bring like terms together,
= 9x³ - 4x³ - 4x² - 3x² + 10x + 5x - 55 - 20
= 5x³ - 7x² + 15x - 75
4th root is even so there can be negative solutions.
0.0001
0.001 * 0.1
0.01 * 0.1 * 0.1
0.1 * 0.1 *0.1 * 0.1
4th root (0.0001) = 0.1 or -0.1
1/2 of the side length p= 1/2 x 4 =2
centre angle=360/6=60 degrees
The APOTHEM bisects or divides the centre angle into two equal angles
1/2 of the centre angle=60/2=30 degrees
tan 30 degrees = 2/APOTHEM
APOTHEM=2/tan 30= 3.46 cm
The APOTHEM is the perpendicular height of the equilateral triangle given in the diagram.
Area of the equilateral triangle
=1/2 x 4 x 3.46
=6.93 cm^2
Area of the regular hexagon= 6 x area of the equilateral triangle= 6 x 6.93 =41.6 cm^2
Hope this helps!
The probability of drawing two blue marbles if the first marble is not replaced is 1/5
<h3>How to determine the probabilities?</h3>
<u>The probability of tossing a head and drawing a red marble</u>
The given parameters are:
White = 1
Blue =3
Red = 2
Total = 6
The probability of a head is
P(Head)= 1/2
The probability of drawing a red marble is
P(Red)= 2/6 = 1/3
The required probability is
P = P(Head) * P(Red)
This gives
P = 1/2 * 1/3
P =1/6
<u>The probability of drawing two blue marbles if the first marble is not replaced.</u>
Here, we have:
P(B1) = 3/6 = 1/2
P(B2) = 2/5
The required probability is
P = P(B1) * P(B2)
This gives
P = 1/2 * 2/5
P =1/5
Hence, the probability of drawing two blue marbles if the first marble is not replaced is 1/5
Read more about probability at:
brainly.com/question/24756209
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