Answer:
(3,5)
Step-by-step explanation:
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Answer: False, there are actually 900 different three-digit numbers
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Explanation:
The three digit numbers span from 100 to 999, including both endpoints.
This means we have 999-100+1 = 900 different three-digit numbers.
You subtract the endpoints (large-small) and add 1 to include the lower endpoint.
Here's a smaller example of why this works: say you had the set {1,2,3,4} and we wanted to count the number of items in this set. Clearly there are 4 items. Note how subtracting the endpoints 4-1 gets us 3 instead, so we add on 1 to include that left endpoint.
Answer:
b = 7, c = -44
Step-by-step explanation:
If the quadratic equation has the solutions -11 and 4, the two factors are:

Since when we use the zero factor property we get
x+11=0 ⇒ x= -11
x-4=0 ⇒ x=4
Thus, we have used the zero factor property in reverse to find the factorization of the quadratic equation.
Now we develop the multiplications between parenthesis:

So b is the number that accompanies the x: b = 7
and c is the independent number: c = -44