Answer:
(3, 2), (2, 3)
Step-by-step explanation:
x + y = 5
xy = 6
Solve the first equation for x.
x = 5 - y
Substitute 5 - y for x in the second equation.
xy = 6
(5 - y)y = 6
5y - y² = 6
y² - 5y + 6 = 0
Factor.
(y - 2)(y - 3) = 0
y - 2 = 0 or y - 3 = 0
y = 2 or y = 3
Now substitute 2 for y in the first equation and solve for x.
x + y = 5
x + 2 = 5
x = 3
One solution is x = 3; y = 2, or (3, 2).
Now substitute 3 for y in the first equation and solve for x.
x + y = 5
x + 3 = 5
x = 2
Another solution is x = 2; y = 3, or (3, 2).
Answer: (3, 2), (2, 3)
For this case we have the following variables:
t: time in seconds.
f (t): height as a function of time.
By the time Grace reaches the pool, the height is equal to zero.
We have the following table:
Time (t) (in seconds) Height f(t) (in meters)
1 25
2 20
3 15
4 0
We observe that the height is equal to zero after 4 seconds.
Equivalently:
Answer:
the following represents the x-intercept of f(t):
Grace reaches the swimming pool after 4 seconds
You multiply the binomial by the whole trinomial.
So 5x^2 (5x^3 - 6x^2 - 5) and then -2x (5x^3 - 6x^2 - 5)
then solve so it is:
25x^5 - 30x^4 - 25x^2 - 10x^4 + 12x^3 + 10x.
Then you simplify to:
25x^5 - 40x^4 + 12x^3 - 25x^2 + 10x
Your Welcome
Answer:
30
Step-by-step explanation:
Use the fundamental counting principal.
There are 6 possible outcomes on one spinner and 5 possible outcomes on the other spinner. Multiply the possible outcomes together to get the total possible outcomes.
6 x 5 = 30
