You apply the sum of interior angles formula ie. (n-2)180. n=number of sides
since a pentagon has 5 sides it will be (5-2)180=540.
now add everything. x-5+x-6+2x-7+x+2x-2=540.
Solve for x: 7x-20=540
7x=540+20
7x=560
x=560/7
x=80
X^3 - 21x = -20add 20 to both sidesx^3 - 21 x + 20 = 0Rational Root Theorem:Factors of P (constant) 20 = 1, 2, 4, 5, 10, 20------------------------------- Factors of Q (leading Coefficient) = 1
Possible zeros (all + -) 1/1, 2/1, 4/1, 5/1, 10/1, 20/1
Of the choices given only the number 1 is a possible root.
Answer:
50 people
Step-by-step explanation:
If you are to calculate the number of people that will come to the concert that will ensure option 1 and option 2 to yield equal amount
Let
x = number of people
Option 1:
Malcolm's Music Hall = 100 + 15x
Option 2:
Reggie's Reggae Room = 350 + 10x
Equate both options
100 + 15x = 350 + 10x
Collect like terms
100 - 350 = 10x - 15x
-250 = - 5x
x = -250/-5
x = 50 people
<u><em /></u>Subtracting a negative number really means to add it
Here's addition:
(1) + (1) = 2
(1) + (-1) = 0
(-1) + (-1) = -2
(-1) + (1) = 0
Here's subtraction:
(1) - (1) = (1) + (-1) =0
(1) - (-1) = (1) + (1) = 2
(-1) - (-1) = (-1) + (1) = 0
(-1) - (1) = (-1) + (-1) = -2
Here's your problem specifically:
(5/10) - (-8/10)
(5/10) + (8/10)
*since they have the same denominator, that stays the same, and you only have to add up numerators
(5 + 8)/10
13/10
<u><em>answer is 13/10 . . . it's positive</em></u>