Answer:
At 10 minutes the phone call costs the same for both companies. Hopefully this was helpful. :)
Step-by-step explanation:
Create equation:
f(x)=3x+35
f(x)=2x+45
x=minutes
Solve:
Company A: Company B:
0 35 45
1 38 47
2 41 49
3 44 51
4 47 53
5 50 55
6 53 57
7 56 59
8 59 61
9 62 63
10 65 65
That is the definition of a irrational number, A rational number must be able to be written as a ratio of 2 integers. The denominator cannot be 0, because that would make the number undefined
9514 1404 393
Answer:
Step-by-step explanation:
In order to solve this, we need to assume that the angles involving x are supplementary, and the angles involving y are complementary.
(7x -8) +(13x -32) = 180
20x -40 = 180 . . . . . . . . . collect terms
20x = 220 . . . . . . . . . add 40
x = 11 . . . . . . . . . . divide by 20
__
(10y +22) +(7y) = 90
17y = 68 . . . . . . . . . . . . collect terms, subtract 22
y = 4 . . . . . . . . . . divide by 17
Let z = 3x+2. Then, by substitution, your equation is
.. z^2 +7z -8 = 0
_____
This equation can be factored as
.. (z +8)(z -1) = 0
.. x = -8 or +1
Then
.. 3x +2 = -8 or +1
.. 3x = -10 or -1
.. x = -10/3 or -1/3