Answer:
b must equal 7 and a second solution to the system must be located at (2, 5).
Step-by-step explanation:
Rearranging the first equation:
y = (x - 3)^2 + 4
From this we see that the vertex is at the point (3,4).
So one solution of equation 2 is (3 ,4).
Substituting in equation 2:
4 = -3 + b
b = 7.
So equation 2 is y = - x + 7.
Now we check if (2, 5) is on this line:
5 = -2 + 7 = 5 , therefore (2, 5) is on this line.
Verifying if (2, 5) is also on y = (x - 3)^2 + 4:
5 = (2 - 3)^2 + 4 = 1 + 4 = 5
- so it is. and a second solution to the system is (2, 5).
Answer:
8750
Step-by-step explanation:
Since the random sample contained 125 out of 500 people who voted for the dog park that is about 25%. since 25% of 500 is 125. If we scale that up to 25% of 3500 it would be 8750 people.
The greatest common factor of 20 and 30 is 10. This is because 10 is the largest number that when it is used to divide 20 or 30, it equals a whole number.
The simple way for us to solve is to write down the factors of both numbers, find the factors that match for both numbers, and see which is the largest out of those that match.
20: <u>1</u>,<u>2</u>,4,<u>5</u>,<u>10</u>,20
30: <u>1</u>,<u>2</u>,3,<u>5</u>,6,<u>10</u>,15,30
Using that logic, we can see that 10 is the greatest factor that the numbers share.
In calculus, the squeeze theorem, also known as the pinching theorem, the sandwich theorem, the sandwich rule, the police theorem, the between theorem and sometimes the squeeze lemma, is a theorem regarding the limit of a function. In Italy, the theorem is also known as theorem of carabinieri.
