Answer:
a.) -1 < x < 5
b.) x <= 1
Step-by-step explanation: Domain is the independent variable (x).
For both question a and b, make sure that the number under the square root does not end up being negative. And the denominator of the fractional number is not equal to zero when variable x is being substituted for any value.
a.) y = √ x + 1 /√ 25 − x^2
Domain : -1 < x < 5
That is the minimum value for x is 0 and the maximum value is 4
b. f(x) = (√ 1 − x ) ln x
Domain : x <= 1
That is, x is less than or equal to 1
The maximum value for x is 1. x can be
1, 0, -1, -2, -3, ..........
Answer:
3080 square inches
Step-by-step explanation:
I like to draw things out. So I drew this cooler out, with the dimensions of 26x14x16. It the cooler is 2 inches thick, I need to remove 2 inches from each side of the cooler. So I took 4 inches off of the 26 and the 14 so the length and width become 22 and 10 respectively. Then I took 2 inches off the bottom of the cooler so the 16 became 14. This gives me the new dimensions of 14x22x10.
Answer:
hertz (Hz)
Explanation:
The SI unit for frequency is the hertz (Hz). One hertz is the same as one cycle per second.
To solve this, we are going to use the recursive formula for a geometric sequence:

where

is the nth term of the geometric sequence.

is the first term of the geometric sequence.

is the common ratio

is the position of the term in the sequence.
We know that the starting salary is $42,000, so

. Now, to find the common ratio

, we need to find the next term in the sequence first:
We know from our problem that t<span>he company automatically gives a raise of 3% per year, so the next term in the sequence will be 42000 + 3%(42000) = 42000 + 1260 = 43260. Remember that the common ratio is the current term of the geometric sequence divided by the previous term of the sequence; we know that our current term is 43260 and the previous term is 42000, so:
</span>


<span>Now we can plug the values in our recursive formula:
</span>


We can conclude that the recursive definition for the geometric sequence formed by the salary increase is: