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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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Carmin is trying to find the equation of a line that passes through the points (-1,16) and (5,88) . Does the equation y=12x+28 w
BartSMP [9]

Answer:

Yes! The equation, y = 12x + 28 , work.

Step-by-step explanation:

The line passes through points (-1, 16) and (5, 88)

The slope of the line = change in y ÷ change in x

i.e slope = \frac{88 - 16}{5 - -1} = 12

Taking another point (x ,y) on the line;

Slope is \frac{y - 16}{x - -1} = 12

y - 16 = 12x + 12

y = 12x + 12 + 16

y = 12x + 28

So the equation, y = 12x + 28, work!

3 0
2 years ago
If the length of the side of a square is 3×-y what is the area of the square in terms of x and y
soldier1979 [14.2K]
(3x -y)(3x-y )= 9x^2 - 6xy + y^2
5 0
3 years ago
Convert the angle in degrees to radians. Express your answer as a multiple of π.
Elena L [17]
Converting 25 degrees to radians:

180° = π radians.

1° =  π/180  radians.

25° =  (π/180  radians) * 25

       =    (25/180) * π  radians.

Leaving the answer in terms of π,  25/180 = 5/36

=    (25/180) * π  radians = (5/36)π  radians  or ≈ 0.1389π radians.


Therefore 25° = (5/36)π  radians  or ≈ 0.1389π radians

I hope this explains it.

I think why you did not get it was because you did not leave your answer in terms of π or as a multiple of π, so as a multiple of π our answer is:

= (5/36)π  radians  or ≈ 0.1389π radians
5 0
3 years ago
HELP ASAP!!!!!!!!!!!!!
creativ13 [48]

Answer:

$36

Step-by-step explanation:

20x.80=16

20+16=36

Hence, the original price is $36

8 0
2 years ago
Read 2 more answers
What's the answer ???
Rainbow [258]
113.04 is the answer do u know how to get it
7 0
3 years ago
Read 2 more answers
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