Answer:
c=10(g+5)
Step-by-step explanation:
Given that,
The cost of customer smartphone bill is given by the equation as follows :
c=10g+50
Where
g is the number of gigabits of data the customer per month
We need to factor this cost polynomial
The common between 10 and 50 is 10
Taking 10 common. So,
c=10(g+5)
Hence, the required factor is equal to c=10(g+5).
Answer:
3
Step-by-step explanation:
C is sus btw
1x3=3
-2x - 8 > -12
-2x - 8 + 2x > -12 + 2x ...... add 2x to both sides
-8 > -12 + 2x
-8+12 > -12+2x+12 .... add 12 to both sides
4 > 2x
2x < 4 ..... flip both sides so that the x term is on the left side
2x/2 < 4/2 .... divide both sides by 2
x < 2
This describes the set of x values such that x is less than 2.
The largest integer that x can be is x = 1. The value of x cannot be 2 because we don't have an "or equal to" as part of the inequality sign.
Final Answer: 1
Answer:
13 ingredients
Step-by-step explanation:
The number of different recipes that can be made from 2 ingredients = 78
Since there are no two recipes that share the exact same two ingredients ;
The number of recipes in Mark's kitchen is:
nCk = 78
k = Number of ingredients per recipe = 2
n = total number of ingredients in kitchen
Total recipes made = 78
n! / (n-r)!r! = 78
n! / (n - 2)!2! = 78
n(n-1)(n-2)! / (n-2)! * 2 * 1 = 78
n(n - 1) / 2 = 78
n(n-1) = 156
n² - n = 156
n² - n - 156 = 0
Factorize :
n² - 13n + 12n - 156 = 0
n(n - 13) +12(n-13) = 0
(n-13) = 0 ; (n+12) = 0
n = 13 or n = - 12
n cannot be negative
Hence, n = 13
Number of ingredients is 13
