The degree of the polynomial f(x) = 2x(x - 3)³(x + 1)(4x - 2) is 6, and the dominant term is - 216x²
<h3>The degree of the polynomial?</h3>
The polynomial function is given as:
f(x) = 2x(x - 3)³(x + 1)(4x - 2)
To determine the degree, we simply add the multiplicities.
So, we have:
Degree = 1 + 3 + 1 + 1
Evaluate
Degree = 6
Hence, the degree of the polynomial is 6
<h3>The dominant term of the polynomial</h3>
We have:
f(x) = 2x(x - 3)³(x + 1)(4x - 2)
Expand
f(x) = 8x⁶ - 68x⁵ + 176x⁴ - 72x³ - 216x² + 108x
The term with the highest absolute value is - 216x²
Hence, the dominant term is - 216x²
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Answer:
15.30
Step-by-step explanation:
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Answer:
y = -6
Step-by-step explanation:
To simplify this equation as much as possible, we have to get the variable y by itself.
To do this, we would do the inverse operation of subtraction and add 7 to the left and right side of the equation.
-7 + 7 + 5y = -37 + 7
The 7s cancel out on the left side because -7+7 = 0 and so we are left with,
5y = -30
Then we would do the inverse operation of multiplication and divide by 5 on the left and right side of the equation.
5y/5 = -30/5
y = -6
Answer:
Please check the explanation.
Step-by-step explanation:
Given
- The location of Point A on the number line = -13.4
- The location of Point B on the number line = 14
- The location of Point C on the number line = 19.9
The location of Point C on the number line = 19.9
Thus, the distance or length between B and C can be calculated by subtracting the point B units from point C units.
BC = 19.9 - 14
= 5.9 units
Therefore,
BC = 5.9 units
Also, the distance or length between C and A can be calculated by subtracting the point C units from point A units.
CA = -13.4-19.9
= -33.3 units
Therefore,
CA = -33.3 units
As the length or distance can not be negative, hence
CA = 33.3 units
Answer:
a) 80 ibs
b) 40 ibs
Step-by-step explanation:
Let X be the pound of the high quality bean at $6.50
(120-x) will be the pound of the cheaper bean at $2.50
6.5x + 2.5(120 - x) = 5.17(120)
6.5x + 300 - 2.5x = 620.4
Collect like terms
6.5x - 2.5x = 620.4 - 300
4x = 320.4
x = 320.4/4
x= 80.1
x = 80 ibs(to the nearest pounds)
For the cheaper bean we have 120 -x
= 120 - 80
= 40 ibs
Sarah would blend 80 ibs of quality bean and 40 ibs of cheaper bean
