Answer: Option d: -3*x^4*y + 2*x^2*y^2 + 5*y^3
Step-by-step explanation:
In standard form, the first term of the polynomial must be the term with the highest degree and on each subsequent term the degree decreases. In the case of two variables, the degree is equal to the sum of the exponents.
Then the correct option is d.
Where the degree of the first term is (4 + 1) = 5
The degree of the second term is (2 + 2) = 4
The degree of the third therm is 3.
We can see that the degree decreases as the term number increases, then the polynomial written in standard form is:
-3*x^4*y + 2*x^2*y^2 + 5*y^3
2.57*10^4 is 1,000,000 times more than 2.57*10^-1
Why?
4-(-1)=5 2
2.57*10^4=25700
2.57*10^-1=0.0257
and
25700
÷ 0.0257
=1000000
and 1000000=10^6
Answer:
The rate of the boat in still water is 40 miles per hour
The rate of the current is 10 miles per hour
Step-by-step explanation:
we know that
The speed or rate is equal to divide the distance by the time
Let
x ----> the rate of the current (miles per hour)
y ----> the rate of the boat in still water (miles per hour)
we have that
<em>going upstream </em>
----> equation A
<em>going downstream </em>
----> equation B
Solve the system of equations by elimination
Adds equation A and equation B
<em>Find the value of x </em>
therefore
The rate of the boat in still water is 40 miles per hour
The rate of the current is 10 miles per hour
Functions A and B have the same y- intercept