Answer:
Step-by-step explanation:
The average rate of change is given by [g(x_2) - g(x_1)]/(x_2 - x_1). Here, we have x_1 = -2, x_2 = -2 + h, and g(x) = 4/x, so we get:
Average rate of change
= [g(x_2) - g(x_1)]/(x_2 - x_1)
= [4/(-2 + h) - 4/(-2)]/[(-2 + h) - (-2)]
= [4/(-2 + h) + 4/2]/(-2 + h + 2)
= [4/(-2 + h) + 2]/h
To simplfiy this, we combine fractions in the numerator:
[4/(-2 + h) + 2]/h
= [4/(-2 + h) + 2(-2 + h)/(-2 + h)]/h
= {[4 + 2(-2 + h)]/(-2 + h)]}/h
= [(4 - 4 + 2h)/(-2 + h)]/h
= [2h/(-2 + h)]/h
= 2/(-2 + h)
So the average rate of change of g(x) = 4/x between x = -2 and x = -2 + h is 2/(-2 + h).
I hope this helps!
Answer:
64 cm²
Step-by-step explanation:
Suppose the original paper was x cm on a side. Then the original perimeter was 4x.
When the square is folded in half, two of the sides are now x/2, so the perimeter is ...
x + x/2 + x + x/2 = 3x
If 3x = 24 cm, then x = 8 cm.
The area of the original paper is ...
A = x² = (8 cm)² = 64 cm²
Answer:
40 minutes
Step-by-step explanation:
The least common multiple of 8 minutes and 10 minutes is ...
LCM(8, 10) = 8·10/GCD(8, 10) = 80/2 = 40
The red and blue trains will arrive together again in 40 minutes
X=3/5
Would be the answer
I’m in geometry and i know that
Answer:
3/5
Step-by-step explanation:
You divide 1 and 3. Keep the denominator since it is the same number
Hope this was helpful, Have a Great Day!!
