What is the additive inverse of the polynomial –9xy2 + 6x2y – 5x3
2 answers:
Answer: The required additive inverse of the given polynomial is
Step-by-step explanation: We are given to find the additive inverse of the following polynomial :
Let Q be the polynomial that represents the additive inverse of the polynomial P.
Then, the sum of the polynomials P and must be zero.
That is,
Thus, the required additive inverse of the given polynomial is
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Answer:
27
Step-by-step explanation:
Let <em>g </em>be Gabrielle's age and <em>m </em>be Mikhail's age.
We can turn the statements the problem gives us into mathematical expressions to help us solve.
Gabrielle's age is two times Mikhail's age:
<em>g </em>= 2<em>m</em>
The sum of their ages is 81:
<em>g </em>+ <em>m </em>= 81
This gives us a system of equations that will allow us to solve for Gabrielle's age.
<em>g </em>+ <em>m </em>= 81
(2<em>m</em>)<em> </em>+ <em>m </em>= 81
3<em>m </em>= 81
<em>m</em> =
<em>m </em>= 27
If we need to solve for Gabrielle's age, we can do the following.
<em>g </em>= 2<em>m</em>
2(27)<em> </em>= <em>g</em>
54 = <em>g</em>
g = 54
Mikhail's age is 27.
Gabrielle's age is 54.
The equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.
<h3>What is a straight line?</h3>A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
As we can see in the graph the line goes from (-6, 0) and (0, 3)
Finding the slope:
m = 3/6 = 1/2
y = mx + c
y = (1/2)x + c
c is the y-intercept
c = 3
The equation:
y = (1/2)x + 3
Thus, the equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.
Learn more about the straight line here:
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Answer:
The gain is of $17.50
Step-by-step explanation:
When you buy the bond the exchange rate is $1.50 = £1.
You pay £45 = =$67.50 for the British bond.
No, you sell the bond for £50 and the exchange rate is $1.70 = £1.
So, you earned dollars
Your gain is = $17.50