5.00 i think is the right way
Interval notation is used to write a set of real numbers from one value to another value.
On the left, you start with left parenthesis or left bracket.
Then you follow by two numbers separated by a comma.
You then finish with a right parenthesis or right bracket.
To include a number, use a square bracket.
To exclude a number use parenthesis.
To write the set of numbers, you need to list the smallest number in the set followed by the largest number in the set. An interval is always stated with two numbers, from the smallest in the set to the largest in the set. The numbers are always separated by a comma.
Examples:
1) All numbers from 6 to 10, including 6 and 10.
Algebra: 6 <= x <= 10
Interval: [6, 10]
Notice brackets since both 6 and 10 are included in this interval.
2) All number from 5 to 20, including 5 but not including 20.
Algebra 5 <= x < 20
Interval: [5, 20)
Bracket with 5 means include 5. Parenthesis with 20 means 20 is not included.
3) All numbers greater than or equal to 7.
Algebra: x >= 7
Interval: [7, ∞)
The 7 has a bracket because it is included. Infinity always has parenthesis.
With the infinity symbol, always use parenthesis, not square bracket.
4) All numbers less than -5.
Algebra: x < - 5
Interval: (-∞, 5)
Now for your problems.
10.
This is a line. Both the domain and range all all real numbers.
That means the interval is from negative infinity to positive infinity.
(-∞, ∞)
Both the domain and range are that same interval, all real numbers, from negative infinity to positive infinity.
13.
The domain is all real numbers as you can see the x-coordinates extend left forever and right forever. The domain is the same interval as the domain and range of problem 10.
The range is zero and all positive numbers.
You can think of it a all values of y such that y is greater than or equal to zero. Notice that zero is included in the interval.
[0, ∞)
Since zero is included, we use a left bracket, not left parenthesis.
With infinity, we alyways use parentheses, not brackets.
The length of any two sides of a triangle must be larger than the remaining side, otherwise you won't have a connecting triangle.
So if AB is the largest side, then AC needs to be greater than 2. And if AC is the largest side, AC must be less than 8. Which means the answer is B.
Answer:
(n + 4)(n+ 22)
Step-by-step explanation:
One way to determine which factored expression is accurate is by asking the question: "Which two numbers multiply to 88, but add to 26?" If you are having difficulty using this method, you can always try the guess-and-check method with a multiple choice question. This way involves multiplying the terms inside one set of parentheses with the terms inside the other set of parentheses.
Step #1: Multiply the first terms
(n + 4)(n + 22) ----> n x n = n²
Step #2: Multiply the inside terms
(n + 4)(n + 22) -----> 4 x n = 4n
Step #3: Multiply the outside terms
(n + 4)(n + 22) -----> n x 22 = 22n
Step #4: Multiply the last terms
(n + 4)(n + 22) -----> 4 x 22 = 88
Step #5: Write the new expanded equation and simplify
(n + 4)(n + 22) -----> n² + 4n + 22n + 88 -----> n² + 26n + 88
Answer:
t=7.27 years
Step-by-step explanation:
Let the money be p and t will be the number of years that will be needed for the money to get double.
ATQ, 2p=p*(1+0.1)^t
2=(1.1)^t
log(2)/log(1.1)=t, t=7.27
