Given that the function y=3.5x+2.8 represents the cost y (in dollars) of a taxi ride of x miles, and that <span>you have enough money to travel at most 20 miles.
The domain of a function is the set of possible values of x, given that the maximum number of miles you can travel is 20 miles, the domain of the function is from 0 to 20.
Domain = {x: 0 ≤ x ≤ 20}
The range of a function is the set of the possible values of the function.
For x = 0, y = 3.5(0) + 2.8 = 2.8
For x = 20, y = 3.5(20) + 2.8 = 72.8
Therefore, the range of the function is from $2.8 when no mile was covered and $72.8 when 20 miles was covered.
Therefore, range = {y: 2.8 ≤ y ≤ 72.8}
</span>
Answer:
119/156
Step-by-step explanation:
If the probability of a number ending in 3 is 37 out of 156 that means that the probability of a number not ending in 3 is 156-37 which is 119.
So 119/156
<h3>
Answer: True</h3>
The key word here is "may" meaning that we could easily have 3 rational roots as well. An example of a cubic having 3 irrational roots would be
(x-1)(x-2)(x-3) = x³ - 6x² + 11x - 6
This has the rational roots x = 1, x = 2, x = 3.
However, we could easily replace 1,2,3 with any irrational numbers we want. So that's why the statement "a cubic has three irrational roots" is sometimes true.
In some cases, a cubic may only have 1 real root and the other 2 roots are imaginary.
You would have to first distribute the -2 to the x+3 which gives you -2x-6. Then you would subtract the 4 which gives you -2x-10 on the left side. Now you have the equation -2x-10>4x+30. Move the 4x to the other side giving you -6x-10>30. Now add the 10 from the other side which leaves you with -6x>40. Now remember when you divide by a negative in an inequality, you HAVE TO flip the sign giving you the answer of x<-20/3.
