Solve 2x3 + x2 - 15x completely by factoring.
2 answers:
Answer:
The solutions are 0 , 5/2 and -3
Explanation:
The given expression is:
2x³ + x² - 15x
We can note that we can take x as a common factor from all terms. This will give us:
x(2x²+x-15)
Now, the expression 2x² + x - 15 is a second degree polynomial that can be factored using the quadratic formula shown in the attached image.
In the given expression:
a = 2
b = 1
c = -15
Substituting with the values of a, b and c in the formula, we would find that
2x² + x - 15 can be factored as (2x-5)(x+3)
Based on the above, the factored form of the given expression is:
x(2x-5)(x+3)
Now, to find the solutions means to find the values of x that would make the expression equal to zero.
This means that:
x(2x-5)(x+3) = 0
either x = 0
or 2x-5=0 .............> 2x = 5 ...........> x = 5/2
or x+3=0 ............> x = -3
Based on the above, the solutions of the system are:
0 , 5/2 and -3
Hope this helps :)
The solutions are 0 , 5/2 and -3
Explanation:
The given expression is:
2x³ + x² - 15x
We can note that we can take x as a common factor from all terms. This will give us:
x(2x²+x-15)
Now, the expression 2x² + x - 15 is a second degree polynomial that can be factored using the quadratic formula shown in the attached image.
In the given expression:
a = 2
b = 1
c = -15
Substituting with the values of a, b and c in the formula, we would find that
2x² + x - 15 can be factored as (2x-5)(x+3)
Based on the above, the factored form of the given expression is:
x(2x-5)(x+3)
Now, to find the solutions means to find the values of x that would make the expression equal to zero.
This means that:
x(2x-5)(x+3) = 0
either x = 0
or 2x-5=0 .............> 2x = 5 ...........> x = 5/2
or x+3=0 ............> x = -3
Based on the above, the solutions of the system are:
0 , 5/2 and -3
Hope this helps :)
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Answer:
D
Step-by-step explanation:
Given the quadratic
d = - 16t² + 12t ← subtract d from both sides
- 16t² + 12t - d = 0 ← in standard form
with a = - 16, b = 12, c = - d
Use the quadratic formula to solve for t
t = ( - 12 ± ) / - 32
= ( - 12 ± ) / - 32
= ( - 12 ± ) / - 32
= ( - 12 ± 4) / - 32
= ±
= ±
= ±
→ D
Answer:
a) 0.0167
b) 0
c) 5.948
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 6.16 ounces
Standard Deviation, σ = 0.08 ounces
We are given that the distribution of fill volumes of bags is a bell shaped distribution that is a normal distribution.
Formula:
a) Standard deviation of 23 bags
b) P( fill volume of 23 bags is below 5.95 ounces)
P(x < 5.95)
Calculation the value from standard normal z table, we have,
c) P( fill volume of 23 bags is below 6 ounces) = 0.001
P(x < 6) = 0.001
Calculation the value from standard normal z table, we have,
If the mean will be 5.948 then the probability that the average of 23 bags is below 6.1 ounces is 0.001.