First they have to decide on a pair of pants and they have 8 different choices. For each of those choices they have a choice of 5 different shirts, so that gives them 8 times 5 = 40 different pant/shirt combinations. For each those 40 possibilities, they have 3 different ties they could select, so altogether they have 40 times 3 = 120 different outfits.
[] signs mean that the number is included in the domain and () mean that the number is not included. Now,
1. [-1,5)
Because x is greater than or equal to -1 (included) but less than 5 (excluded
2. [-5,13)
When we plug in x = -1, we get the minimum value of -5, which is included because its x-value was included. The, we plug in x = 5 to find the range's maximum and this is excluded because its x-value was excluded.
3. 218
x = 6 lies in the domain of the first function so we will use it to evaluate the value of x = 6. We do this by simply substituting x into the function.
4. 12
x = 9 is included in the domain of the second function and the value of the second function at all points is 12.
5. 103
x = 10 is included in the domain of the second function so we will use it to evaluate the value of x = 10. This is done by substituting x into the equation.
To solve for these, we will use formulas and convertions as we go.
For 1:
We are looking for kg (kilograms) to g (grams). 1 g = 0.001 kg.
We have 2.5 kg. This means we must multiply 2.5 by 1,000.
2.5 x 1,000 = 2,500.
1.) is 2,500 grams.
For 2:
This problem has multiple steps, but we will successfully solve it. As of now, we have yards. There are 3 feet in a yard, and 12 inches in 1 ft. We will convert yards to feet, and then feet to inches.
500x3 = 1500, 1500 x 12 = 18,000.
2.) is 18,000 inches.
For 3:
There are 2,000 pounds in 1 ton. Using this, we can determine how many tons we have.
7,000/2,000 = 3.5
3.) is 3.5 tons.
I hope this helps!
The answer is 52
x - the number of students in a bus
4 + 9x = 472
9x = 472 - 4
9x = 468
x = 468 / 9
x = 52
Given:
Consider the below figure attached with this question.
To find:
The value of 
.
Solution:
The given functions are:
Now,
We know that,
Adding 3 on both sides, we get
So, for all values of x.
Hence, the correct option is A.
