G ( x ) = - 2 x² + 9
If this function is translated vertically downward by 8 units it becomes:
f ( x ) = g ( x ) - 8
f ( x ) = - 2 x² + 9 - 8
Answer:
f ( x ) = - 2 x² + 1
The response time includes the round-trip signal time plus the robot's travel time.
59 min = 2*(9.5 min) +travel time
59 min -2*(9.5 min) = travel time = 40 min
The speed is distance / travel time
speed = (52.8 m)/(40 min) = 1.32 m/min
The robot's average speed was 1.32 meters per minute.
Answer:
-3 =x
Step-by-step explanation:
6x+18 = 5(3x+9)
Distribute the 5
6x+18 = 15x+45
Subtract 6x from each side
6x+18-6x =15x-6x +45
18 = 9x+45
Subtract 45 from each side
18-45 =9x+45-45
-27 = 9x
Divide by 9
-27/9 = 9x/9
-3 =x
Answer:
Step-by-step explanation:
Um, where the triangle? If the no triangle how are we gonna answer your question?
( I'm not trying to be mean )
Answer:
4 consecutive odd numbers are 111, 113, 115 and 117.
Step-by-step explanation:
Let the first odd number be x.
So the next odd number will be (x+2)
and the next two consecutive odd numbers are (x+ 4) and (x+6)
According to question,
The sum of all four odd consecutive numbers = 456
⇒ x + (x+ 2) + (x+4) + (x+6) = 456
or, 4x + 12 = 456
⇒ 4x = 456 - 12 = 444
⇒ x = 444/4 = 111
Hence, the first odd number = 111
Second odd number = 111+ 2 = 113
Third odd number is x + 4 = 111 + 4 = 115
And last odd number is x + 6 = 111 + 6 = 117
So, 4 consecutive odd numbers are 111, 113, 115 and 117.
