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:
D
Step-by-step explanation:
D is the only graph where the shaded region is on 6 and less.
Answer:
- Length and width of rectangle is 24 and 8 inches
Step-by-step explanation:
<u>Given:</u>
- Length of rectangle is three times the width
- Perimeter of rectangle is 64 Inches
<u>To Find:</u>
<u>Solution:</u>
Let's assume Width of rectangle x inches and length be 3x inches. To calculate the dimensions of The rectangle we will use the formula of Perimeter of rectangle:
Perimeter of rectangle = 2(L + B)
→ 64 = 2(3x + x)
→ 64 = 2(4x)
→ 64/2 = 4x
→ 32 = 4x
→ 32/4 = x
→ 8 = x
Hence,
- Length of the rectangle = 3x = 3(8) = 24 inches
- Width of the rectangle = x = 8 inches
Answer:
x>-4
Step-by-step explanation:
-3x+5<17
subtract 5 from both sides
-3x<12
divide 3 from both sides
-x<4
divide by -1
x<-4
when dividing a negative number you flip the sign
x>-4