y=x^2 + x - 2
x + y = 1
Replace y in the second equation:
x + x^2 + x -2 = 1
Simplify:
x^2 + 2x -2 = 1
Subtract 1 from both sides:
x^2 + 2x -3 = 0
Factor:
(x-1) (x+3) = 0
Solve for both x's:
x = 1 and x = -3
Now replace x in the second equation and solve for y using both x values:
1 + y = 1, y = 0
-3 + y = 1, y = 4
Now you have (1,0) and (-3,4) as solutions for (x,y)
XY = x times y:
1 x 0 = 0
-3 x 4 = -12
The answer would be -12
Answer:
5x + 10 = 240
Step-by-step explanation:
The volume of one die is the edge to the power of 3:
The total volume is five times the above volume:
Answer:
Answer:
13 white cars
Step-by-step explanation:
Let us represent:
Number of
Red cars = x
Blue cars = y
White cars = z
Sharon has 23 toy car that are colored red, blue, and white.
x + y + z = 23
x = 4
2 fewer blue cars than red
y - 2 = x
y - 2 = 4
y = 4 + 2
y = 6
Hence,
x + y + z = 23
4 +
Number of white cars is calculated as:
23 - (6 + 4)
23 - 10
= 13 white cars
Answer:
A. $3,984
Step-by-step explanation:
The amount of interest is computed from ...
I = Prt
For the given values, the interest is ...
I = $3600×0.08×(16/12) = $384
Then the total amount that needs to be repaid is ...
Principal + Interest = $3600 +384 = $3,984
_____
The time period is 16 months, so is 16/12 years.
The time periods of the interest rate and "t" in the formula must match. If the interest rate is an annual rate, then "t" is in years. If the interest rate is a monthly rate, then "t" is the number of months.
