The differnce of 2 perfect cubes
remember
a³-b³=(a-b)(a²+ab+b²)
so
Answer: x = -1 and y = -2
Step-by-step explanation:
So if you know y = x-1 you can plug that in where y is in the first equation
-4x + 3(x-1) = -2
Distribute the 3:
-4x +3x -3 = -2
Combine like terms:
-x -3 = -2
Add 3 to both sides:
-x = 1
Multiply by -1:
X = -1
Then you plug that into the other equation to get y=(-1)-1
Which is -2
Answer:

Step-by-step explanation:
We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is:
, where m= Slope of the line, b= y-intercept.
To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.
We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).
Let us substitute coordinates of our both given points in slope formula:
,

Now let us substitute m=-3 and coordinates of point (5,33) in slope intercept form of equation to find y-intercept.
Upon substituting m=-3 and b=48 in slope-intercept form of an equation we will get,

Therefore, our desired equation will be
.
1,000,000,000,000 is the answer
Answer:
Step-by-step explanation:
Synthetic division is one way to determine whether or not a given number is a root of the quadratic. x^2 − 12x − 20 can be rewritten as x^2 - 12x + 36 - 36 - 20, or (x - 6)^2 - 56, which does not have integer solutions:
(x - 6)^2 - 56 = 0 becomes (x - 6)^2 = 56, which works out to x - 6 = ± 2√14.
None of the possible roots suggested in this problem turns out to be an actual root.
correct response: PRIME