Suppose f'(7)=9 and g(7)= 5. Find h'(7) where h(x) = 3f(x) + 2g(x) + 7 h'(7)=???
1 answer:
Answer:
The value of h'(7) = 44 .
Step-by-step explanation:
Given:
f'(7)=9 and g(7)= 5
We have to find : h'(7)
Also,
⇔ ...equation (i)
Plugging the value of 'x' = 7 in equation (i) the equation can be re-framed as:
⇔
⇔
Now plugging the value of f'=(7)=9 and g(7)=5 in the above equation:
⇔
⇔
⇔
So the value of h=(7) = 44 .
You might be interested in
Answer:
Josie should purchase floral daisy wallpaper.
Step-by-step explanation:
Area = Length × Width
The area of the Josie's accent wall = 9 × 10 = 90 feet²
The cost of Floral Daisy per square feet
=
=
= 0.98534 ≈ $0.99/ft²
The cost of total wallpaper for the wall = 90 × 0.99 = $89.10
The cost of Flower Power per square feet =
=
= 1.0096 ≈ $1.01/ft²
The cost of total wallpaper for the wall = 90 × 1.01 = $90.90
total savings = 90.90 - 89.10 = $1.80
∵ The floral daisy wallpaper comes in size = 1.45 ft × 9.8 ft
∴ Josie needs the number of rolls of floral daisy wallpaper to cover her wall = 7
The cost of 7 rolls = 14.67 × 7 = $102.69
To cover her wall with flower power wallpaper, she needs the number of rolls = 2
The cost of 2 rolls = 99 × 2 = $198
We can see the cost of floral daisy wallpaper is less than flower power.
Therefore, Josie should purchase floral daisy wallpaper.