Answer:
Domain: set of Real numbers
Range{ set of Real numbers
Step-by-step explanation:
Since this is a cubic function, its domain and range are both the set of Real numbers.
The domain of any polynomial function is the set of Real numbers, And as far as the Range, we decide based on its end-behavior: since this is a polynomial with leading term 
, then it has the property of getting to infinitely large values for increasing values of x, and infinitely negative values for decreasing values of x.
substitution method
Step-by-step explanation:
- use second equation
- make x subject of the formula
- put it back in the first equation
- solve to find the value of y
- substitute y value in any equation between the two.
- then you get x value
Answer:
Statements 2, 3 and 4 are true.
Step-by-step explanation:
2. < 1 and < 4 are alternate interior angles.
3. < 3 and < 6 are vertical angles.
4. There are 2 sets of alternate angles so the triangles are similar (< 1 and <4, and <2 and <5).
Answer:
First city: $5,500
Second city: $5,000
Step-by-step explanation:
Let's define x as the hotel price in the first city and y the hotel price in the second city. We can start with this equation:
y = x - 500 (The hotel before tax in the 2nd city was $500 lower than in the 1st.)
Then we can say
0.065x + 0.045y = 582.50 (the sum of the tax amounts were $582.50)
We place the value of y from the first equation in the second equation:
0.065x + 0.045 (x - 500) = 582.50
0.065x + 0.045x - 22.50 = 582.50 (simplifying and adding 22.5 on each side)...
0.11x = 605
x = 5,500
The cost of the first hotel was $5,500
Thus, the cost of the second hotel was $5,000 (x - 500)
