Step-by-step explanation: Standard form is when we take a polynomial and we write it in order from the greatest degree to the smallest degree.
Let's look at an example which I provided in the image attached.
In this polynomial, I have 2 degrees, 1 degree, and 1 degree above the <em>x</em>.
This is not in the form of least to greatest so I need to write it in descending order. Our constant which in this is 27 will be last in polynomial.
So, you look at the degree of each term and then write each in term in order of degree from greatest to least (descending order).
A. Commutative Property
"The commutative property states that the order in which two numbers are added or multiplied does not affect the sum or product." ~ ck12.org
May I have brainliest please? :)
Answer:
1. x = -4y ---> y = (-1/4)x
slope = -1/4. y-intercept = (0,0)
2. y = -2x + 4
3. y = (1/3)x - 1
Step-by-step explanation:
1. Re-write your equation so that x is on the right and y is on the left:
x = -4y ---> y = (-1/4)x
slope = -1/4. y-intercept = (0,0)
2. y-intercept = (0,4) ----> P1
x-intercrpt = (2,0) ----> P2
slope m = (y2 - y1) / (x2 - x1)
= (0 - 4)/(2 - 0)
= -2
therefore, y - y1 = mx - x1 ---> y - 4 = -2x
or y = -2x + 4
3. y-intercept = (0,-1)
x-intercept = (3,0)
m = (0 - (-1)) / (3 -0) = 1/3
y - (-1) = (1/3)x - 0 ---> y = (1/3)x - 1
15% of gross = 630
0.15 G = 630
Divide each side by 0.15 :
G = 630/0.15 = $4,200
You can find counterexamples to disprove this claim. We have positive integers that are perfect square numbers; when we take the square root of those numbers, we get an integer.
For example, the square root of 1 is 1, which is an integer. So if y = 1, then the denominator becomes an integer and thus we get a quotient of two integers (since x is also defined to be an integer), the definition of a rational number.
Example: x = 2, y = 1 ends up with 
which is rational. This goes against the claim that 
is always irrational for positive integers x and y.
Any integer y that is a perfect square will work to disprove this claim, e.g. y = 1, y = 4, y= 9, y = 16. So it is not always irrational.
