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erica [24]
3 years ago
13

If​ f(x) and​ g(x) are differentiable functions such that f (1 )equals 4​, f prime (1 )equals 5​, f prime (9 )equals 6​, g (1 )e

quals 9​, g prime (1 )equals 8​, g prime (2 )equals 9​, g prime (5 )equals 10​, find StartFraction d Over dx EndFraction f (g (x ))vertical line Subscript x equals 1 Superscript .
Mathematics
1 answer:
Alex777 [14]3 years ago
8 0

By the chain rule,

(f(g(x)))'=f'(g(x))g'(x)

so that when x=1, we have

(f(g(1)))'=f'(g(1))g'(1)=f'(9)g'(1)=6\cdot8=\boxed{48}

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If 2% of a number equals 8, find 10% of that number.
torisob [31]

Answer:

40

Step-by-step explanation:

2% of 400 is 8

400 x 0.02 = 8

10% of 400 is 40

7 0
2 years ago
The material used to make a storage box costs $1.25 per square foot. The boxes have the same volume, so how much does a company
riadik2000 [5.3K]

Answer: A company saves $134.38 by choosing to make 50 of Box 2 instead of Box 1

Step-by-step explanation:

Hi, to answer this question we have to calculate the surface area of both boxes.

<em>Surface area (A) = 2wl + 2lh + 2hw, </em>

Where w is width, l is length , and h is height.

  • Box 1 = A = 2(6x20) + 2( 20x4) + 2 (4 x 6) =2 (120)+ 2 (80)+ 2(24) =448 in2
  • Box 2 = A = 2 (4x15)+ 2(15x8)+ 2(8x4) = 2(60)+2(120)+2(32)=424 in2

Since 1 inch = 0.0833333 foot

  • Box 1 = 448 in2 x 0,0833333 =37.34 ft2
  • Box 2= 424 in2 x 0,0833333 =35.19 ft2

Since the material used to make a storage box costs $1.25 per square foot.

  • Box 1 =37.34 ft2 x1.25 = $ 46.675
  • Box 2= 35.19 ft2 x 1.25 =$43.98

Since 50 of each are made:

  • Box 1 = $ 46.675 x50 =2,333.750
  • Box 2= $43.98 x50 =2,199.37

Subtracting both costs:

2,333.750(1) - 2,199.37(2) = $134.38

6 0
3 years ago
Which expression is equivalent to 4c + 7 -2C - 3?
Ivahew [28]
The answer is (A): 2c+4
4 0
3 years ago
Richard is $15 overdrawn on his checking account. He writes a check for $7. What is the balance in his checking account now?​
Annette [7]
Since he’s already at -15, if he writes a check for 7 then he’s subtracting more from his account.
So, -15-7=-22
5 0
3 years ago
Use the graph below to write 5 conic section equations that create it. Use Desmos to check if your equations produce this pictur
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Answer:

i think it would be this

3.) The Right Eye (Green Circle)  Captionless Image

hope this helps


7 0
4 years ago
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