Let A represent the speed of car A. Using your formula,
.. A*2 = D
.. (A +15)*1.5 = D . . . . . the same distance in a shorter time at a higher speed
Equating the two expressions for D, we get
.. 2A = 1.5(A +15)
.. 2A = 1.5A +22.5 . . . . . eliminate parentheses
.. 0.5A = 22.5 . . . . . . . . .subtract 1.5A
.. A = 22.5/0.5 = 45 . . . .divide by 0.5
Car B was 15 mph faster than this.
Car B traveled at 60 miles per hour.
Given:
The inequality is

To find:
The inequality that solution describes all the solutions to the given inequality.
Solution:
We have,

Using distributive property, we get




Divide both sides by 3.


It can be written as

Therefore, the value of x is greater than 3. So, the required inequality is either
or
.
Answer:

Step-by-step explanation:
Data provided in the question:
Number of cups of tea offered = 3
Number of cups marked = 9
Number of cups tasted by each = 4
Now,
The probability that a contestant does not taste all of the samples
= contestant tastes only 2 samples of tea
=
C₆⁴ = number of ways to choose 4 cups out of 6 cups of two samples
C₃² = number of ways to choose which 2 samples will be tasted
[ as 2 samples × 3 cups each = 6 cups ]
C₉⁴ = Number of ways to choose 4 cups out of 9
= 
Hence,
the correct answer is option (B) 5/14
Answer: 0, 1, -3
Step-by-step explanation:
f(x) = x^3 +2x^2 -3x
f(x) = x(x^2 +2x-3)
f(x) = x(x-1)(x+3)
to find zeroes, plug into f(x) and solve for each value of x. doing this gives 0, 1, and -3