Answer:
45 = (one third)x + 15
Step-by-step explanation:
If x represents the number of minutes Tom commutes, then (1/3)x is "one-third as many minutes as Tom's commute." 15 minutes more than that is ...
(1/3)x + 15
We are told this is the length of Paul's commute, and that it is 45 minutes. So, the appropriate equation is ...
45 = (1/3)x +15
The options are H,H,T or T,T,H
HHT: 1/2 x 1/2 x 1/2 = 1/8
TTH: 1/2 x 1/2 x 1/2 = 1/8
HHT or TTH: 1/8 + 1/8 = 2/8 = 1/4
Answer: 1 out of 4 = 1/4 = 25%
F ( x ) = ( x + 3 )² - 8 = x² + 6 x + 9 - 8 = x² + 6 x + 1
For the quadratic function:
Axis of symmetry is: x = -b/ 2 a, where: a = 1, b = 6 ( because it it in the form:
y = a x² + b x + c ).
Therefore: x = -6 / 2 = -3.
f ( - 3 ) = ( - 3 + 3 )² - 8 = 0 - 8 = - 8
And D = b² - 4 a c = 6² - 4 * 1 * 1 = 36 - 4 = 32 ( greater than 0 ). It means that there are 2 real solutions.
Answer: x = - 3 , vertex : ( - 3 , - 8 ), Number of real solutions : 2.
a 1 = - 3 , a 2 = - 3 , a 3 = - 8 , a 4 = 2.
Answer:8
Step-by-step explanation: behind the x value (5) there are 2 ages that had a value. You add the two values (5+3) and you get 8.
Final answer is 8.
