Answer: Last Option
Step-by-step explanation:
Cramer's rule says that given a system of equations of two variables x and y then:
For this problem we know that:
Solving we have:
Solving we have:
Solving we have:
Finally
Answer:
the polynomial has degree 8
Step-by-step explanation:
Recall that the degree of a polynomial is given by the degree of its leading term (the term with largest degree). Recall as well that the degree of a term is the maximum number of variables that appear in it.
So, let's examine each of the terms in the given polynomial, and count the number of variables they contain to find their individual degrees. then pick the one with maximum degree, and that its degree would give the actual degree of the entire polynomial.
1) term 
contains four variables "x" and two variables "y", so a total of six. Then its degree is: 6
2) term 
contains two variables "x" and five variables "y", so a total of seven. Then its degree is: 7
3) term 
contains four variables "x" and four variables "y", so a total of eight. Then its degree is: 8
This last term is therefore the leading term of the polynomial (the term with largest degree) and the one that gives the degree to the entire polynomial.
The equation in y = mx+b form is y = -450x+2745
where,
x = number of hours that have passed by
y = distance to destination in miles
The y intercept is 2745 since this is the initial starting y value, aka the starting distance. Therefore b = 2745.
The slope is -450 or -450/1 since for each hour, the distance goes down by 450. You can think of it as
slope = (change in y)/(change in x)
slope = (change in distance)/(change in time)
slope = (-450 miles)/(1 hour)
slope = -450
Divide each term by U and simplify. X=y/U and W=2/U. Next, solve the equation for y. Simplify the left side then cancel the common factor of U. 1/1*y/1=y
W=2/U. Multiply 1/1*y/1=y/1 so, y/1=y and W=2/U. Next, divide y/y to get 1 now y=y, still W=2/U. Now, move all terms containing y to the left side. Since, Y contains the variable to solve for, move it to the left side of the equation by subtracting y from both sides. Now, y-y=0 still W=2/U. Next, subtract y from y to get zero and still W=2/U. Subtract y from y to get zero or 0=0 and W=2/U is your expression since 0=0.
Next: UW=m and WX=y+14 write expression for UX
First, divide each term by W and simplify. U=m/W, WX=y+14. Next, solve the equation for Y. Move y from the right side of the equation to the left side. Still, U=m/W and y=-14+WX. We must reorder -14 and WX. U=m/w and y=WX-14.
Replace the variable U with m/W in the expression to (m/W)X. Next, simplify (m/W)X. Now, write X and a fraction with denominator 1. Looks like this
fractions are side by side m/W X/1 . Multiply, m/W and X/1 to get mX/W.
mX/W is your final expression for UW=m and WX=y+14 expression for UX.
