Answer:
1
Step-by-step explanation:
What is the largest of 3 consecutive integers such that the sum of the first and third is equal to three times the second?
3 consecutive angles
= x, x + 1, x + 2
We are told in the question that:
the sum of the first and third is equal to three times the second
a + c = 3b
x + x + 2 = 3(x + 1)
2x + 2 = 3x + 3
3x - 2x = 2 - 3
x = -1
The largest of the three numbers is the third number
= x + 2
x = -1
x + 2 = -1 + 2
The third and largest number is 1
The slope is 3, so if x changes by 2, y changes by 6.
Answer:
The diameter is 2
Step-by-step explanation:
We can use a ratio to solve
6 x
------- = --------------
18.84 6.28
Using cross products
6 * 6.28 = 18.84x
Divide each side by 18.84
37.68/18.84 = x
2 =x
Answer:

Step-by-step explanation:
The answer is a mixed number and in simplest form hope this helps :-)
For this case we have the following function:
f (t) = -16t2 + 32t + 384
By definition we have to:
The average rate of change:
AVR = (f (t2) - f (t1)) / (t2 - t1)
Where,
For t1 = 4
f (4) = -16 * (4) ^ 2 + 32 * (4) + 384
f (4) = 256
For t2 = 6
f (6) = -16 * (6) ^ 2 + 32 * (6) + 384
f (6) = 0
Substituting values we have:
AVR = (0 - 256) / (6 - 4)
AVR = -128
Answer:
The average rate of change of f (t) from t = 4 seconds to t = 6 seconds is -128 feet per second.