3(2-b)<10-3(b-6)
6-b<5(b-6)
6-b<5b-30
Let's make "b".......2
6-(2)<5(2)-30
4<10-30
4<-20
In this case, this is a false statement. You can make "b" any number and I chose 2. I hope this helped!
1. The answer is already in its simplest form.
3. 3i + i is equal to 4i.
5. Combining like terms results in -5 - 9i.
Answer: Mr Smith bought 7 pepperoni pizza
Step-by-step explanation:
Step 1
cost of cheese pizza =$11
pepperoni pizza cost =$12.50
let number cheese pizza be represented as c
and number of pepperoni pizza be represented as p
such that the total number of pizza bought which equals 13 can be represented as
c+ p= 13
and total cost of both pizza can be expressed as
11c+ 12.50p =153.50
Step 2 Solving
c+ p= 13
11c+ 12.50p =153.50
By elimination method, Multiply equation 1 by 11 and subtract the new equation from equation 2
11c+ 12.50p =153.50
11c+ 11p=143.
1.5p =10.5
p= 10.5/ 1.5 =7
c+ p= 13
c= 13-p =13-7=6
Therefore Mr Smith bought 6 cheese pizza and 7 pepperoni pizza
Answer:
range of f(x) = [-4, -2) ∪ [2, 8)
a+b+c+d = -4
Step-by-step explanation:
The graph is attached. The range is the vertical extent of the function. It is defined at f(0) = -4 and f(2) = 2.
The limits f(2-) and f(4-) are -2 and 8, respectively, so the graph has open circles there. These are the ends of the two half-open intervals that make up the range of the function.
The portion of the graph in the domain [4, 7) is included in the range [2, 8), so no special treatment is needed for that piece of the function.
Answer:
C. 10 000
Step-by-step explanation:
If we called:
x = children who have been vacinated against rubella only
2x = children who have been vaccinated against mumps
y = children who have been vaccinated agains both
Children who have been vaccinated against mumps only = x - y
And we know that y = 2*(x-y)
=> 2y = 3x
y = 5000
There fore x = 7500
The number of children who have been vaccinated against rubella
= 2x - y = 2*7500 - 5000 = 15 000 - 5000 = 10 000
