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GaryK [48]
3 years ago
8

Find the derivative of f(x) = 7 divided by x at x = 1.

Mathematics
2 answers:
Wewaii [24]3 years ago
6 0

just took test it is x= -7

julsineya [31]3 years ago
3 0
I find it best to switch everything exponents when taking derivatives.
F(x) = 7/x
Same as..
F(x) = 7x^-1
Take derivative..
F'(x) = -7x^-2
Plug in x = 1
F'(1) = -7(1)^-2
F'(1) = -7
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Lubov Fominskaja [6]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
Match the information on the left with the appropriate equation on the right.
zaharov [31]

Answer:

See attachment below

Step-by-step explanation:

For the first option, we are given m = - 2 / 3, b = 3. This is likely in the point - slope form y = mx + b, where m = slope and b = y - intercept. Thus, the equation of the line in point - slope form given this information, should be y = - 2 / 3x + 3. It seems as if none of the following equations match this form, so let us interchange the equation a bit,

y = - 2 / 3x + 3,

y + 2 / 3x = 3,

2x + 3y = 9 - Option C

_______________________________________________________

Next we are given m = - 3 / 2, and that this line passes through the point ( 4, - 1 ). Substitute m as - 3 / 2, x as 4, y as - 1, knowing point ( 4, - 1 ), into the form y = mx + b - solving for b.

- 1 = ( - 3 / 2 )( 4 ) + b,

b = 5,

Thus the equation in point - slope form should be y = - 3 / 2x + 5. None of the choices match this, so let us again alter the equation,

y = - 3 / 2x + 5,

2y = - 3x + 10,

- 2y = 3x - 10 - Option A

_______________________________________________________

( 6, 3 ) and ( 3, 1 ) is given to lie on this line. The slope of the line should be as follows,

Slope = 3 - 1 / 6 - 3 = 2 / 3

Now let us determine the y - intercept ( b ) by substitute one of the points, say ( 6, 3 ). In this case x = 6, and y = 3,

3 = ( 2 / 3 )( 6 ) + b,

b = - 1,

y = 2 / 3x - 1 = Option D

Take a look at the attachment below for further help;

6 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
nataly862011 [7]

Answer:  \bold{-\dfrac{1}{2}}

<u>Step-by-step explanation:</u>

Average rate of change is the slope (m) between the two coordinates (-1, -1) and (1, -2).

m=\dfrac{y_2-y_1}{x_2-x_1}

m = \dfrac{-2+1}{1+1}

   =-\dfrac{1}{2}


8 0
3 years ago
Read 2 more answers
Kallah needs to buy ribbon for a sewing project. The fabric store charges 2 dollars per meter. How much will it cost Kallah to b
Zinaida [17]
There are 100 cm in a meter
$1.50 for 75 cm.
3 0
3 years ago
Read 2 more answers
Write an equation for the translation of y = |x|. 13 units down
olga55 [171]
The idea for transitions for an equation like this is
y = m|x - h| + k
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k = how much up or down

moving 13 down would mean
k = -13

so
y = |x| - 13
D. would be your answer
7 0
3 years ago
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