The value of k is 2 if the polynomial x³ - 3x² - 10x + 24 is divided by the expression (x - 2).
<h3>What is synthetic division?</h3>
In the case of dividing by a linear factor, the synthetic division is a shorthand, or quicker, a technique of polynomial division.
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We have a polynomial:
x³ - 3x² - 10x + 24
Which is divided by (x - 2)
We can divide using the synthetic division:
The first row: 1 -3 -10 24
The entry outside the row: 2
The missing value which is 2
k = 2
Thus, the value of k is 2 if the polynomial x³ - 3x² - 10x + 24 is divided by the expression (x - 2).
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Answer:
ROA = 7.77 percent
Step-by-step explanation:
Borland, Inc., has a profit margin of 5.6 percent on sales of $13.6 million
Thus, profit = 5.6% of $13.6 million
profit = 5.6 / 100 * $13.6 million = $0.7616 million
Profit is same as net income
Formula for ROA (return on asset) = net income/ total asset
total asset as given = $9.8 million
Thus, ROA = $0.7616/ $9.8 = 0.0777
ROA in percentage = 0.0777*100 = 7.77
Thus, ROA is 7.77 percent .
Answer:
Yes, in places like the US, UK and other bigger areas
No, in like Africa and poorer areas
Answer:
10.7x + 5
Step-by-step explanation:
(3.5x - 5) + (7.2x + 10)
Take out the parenthesis so it can be easier to see
3.5x - 5 + 7.2x + 10
Combine like terms
(3.5x and 7.2x) and ( -5 and 10)
10.7x + 5
And you cannot simplify it anymore
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer:

Step-by-step explanation:
The equation
represents the discriminant of a quadratic. It is the part taken from under the radical in the quadratic formula.
For any quadratic:
- If the discriminant is positive, or greater than 0, the quadratic has two solutions
- If the discriminant is equal to 0, the quadratic has one distinct real solution (the solution is repeated).
- If the discriminant is negative, or less than 0, the quadratic has zero solutions
In the graph, we see that the equation intersects the x-axis at two distinct points. Therefore, the quadratic has two solutions and the discriminant must be positive. Thus, we have
.