<span>d. x3 - 2x2 - 21x + 12</span>
Answer:
(x + 7)(x - 2)
Step-by-step explanation:
To do this, set up "templates." To set these up, look at the signs on the second and third numbers. The second number is positive, and the third is negative.
The third number being negative means that the factored phrases will have different signs for the integers. The second number being positive means that the the larger number will be positive.
The "templates" are (x + )(x - ).
Next, fin the factors of 14 (1, 14 and 2, 7)
2 and 7 are the pair that will give us the second number, 5. With the larger number being 7, this is the positive number.
(x + 7)(x - 2)
You can check your answer using FOIL, which is the order in which you multiply the numbers. Front, outer, inner, and last.
Front: x²
Outer: -2x
Inner: 7x
Last: -14
Add it all up.
x² + (-2x) + 7x + (-14)
x² + 5x - 14
Answer: 2/8
Step-by-step explanation: 1/4 is equal to 2/8 so the answer is 2/8.
Also the 2 numbers in between 1/4 and 5/8 is 3/8 and 4/8
Hope this helped!
Answer:
Step-by-step explanation:
Since the the production of the polymer fiber follows a normal distribution, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = measured diameter values.
µ = mean diameter
σ = standard deviation
From the information given,
µ = 30 μm
σ = 20 μm
a) The probability of a measured value greater than 80 μm is expressed as
P(x > 80) = 1 - P(x ≤ 80)
For x = 80,
z = (80 - 30)/20 = 2.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.994
P(x > 80) = 1 - 0.994 = 0.006
b) the probability of a measured value between 60 and 75 μm is expressed as
P(60 ≤ x ≤ 75)
For x = 60,
z = (60 - 30)/20 = 1.5
The probability corresponding to the z score is 0.933
For x = 75,
z = (75 - 30)/20 = 2.25
The probability corresponding to the z score is 0.988
Therefore,
P(60 ≤ x ≤ 75) = 0.988 - 0.933 = 0.055
I think it is not because it’s also not proportional and they are basically identical except for what b is equal to