Answer:
Debra’s rate is 3 Words Per Minute (WPM)
Explanation:
In order to find a rate, you need to put the unit (words) over the time (minutes):
27words/9minutes
You then have to simplify this expression:
3words/1minute
You can further simplify this to “3 words per minute” or “3 WPM”
firat we need to get two equation with two varibles let us work on x,y
so adding the first and last one will yield
now we since we used the first and third we need to use the second to get a correct system.let us multiply the third by 2 then add the second and third
now we have two equation with the variables x and y
you can solve it algebraically but you can see that the only solution possible is y=0 and x=-1 we have the values for x and y let us choose one of the three main equation and substitute to get z let us pick the first equation 5x-2y+z=-1-->5(-1)-2(0)+z=-1---->-5+z=-1-------->z=4
to make sure the system works let us check by substituting into the three equations
the first one will be 5x-2y+z=-1--->5(-1)-2(0)+4=-1---->-5+4=-1--->-1=-1 first equation holds
the second equation 3x+y+2z=6---->2(-1)+0+2(4)=6--->-2+8=-6--->-6=-6 second equation holds
the third equation x-3y-z=-5----->-1-3(0)-4=-5---->-1-4=-5--->-5=-5
our third equation also holds which makes our solution correct
x=-1,y=0,z=4
For polynomials you need to remember that they have 2 things: terms and positive exponents.
1) is not polynomial because if you rewrite it the second term has a negative exponent ( -4x^-2)
2)is a polynomial
3) is a polynomial
4) is not a polynomial because if you convert the sqrt in a exponent you have a rational exponent (4x)^1/2
5) for standard form arrange the terms from the high to low degrees
X^11 -9x^7. +4x^5. -6
The degree is 11 the leading coefficient is 1
6) same idea as 5. The degree is 6 and leading coefficient is -2
7) degree 3 and has 3 terms
8) degree 2 and has 3 terms
Answer: width = 33, length = 45
Step-by-step explanation: 33 + 12 = 45
33 + 33 + 45 + 45 = 156
when the degree of the denominator is greater than that of the numerator, the only horizontal asymptote occurs at y = 0.