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3 years ago

PLEASE HELP Which expression represents the difference quotient of the function f (x) = negative StartRoot 2 x EndRoot?

Mathematics

2 answers:

natali 33 [55]3 years ago

5 0

Answer:

c is the correct option

Step-by-step explanation:

from,

f'(x) = h >0 f(x + h) - f(x)

f(x) = - √2x

f(x + h) = - √(2x + h)

f'(x) = h>0 -√(2x + h) - √2x

rationalize the denominator

= h>0 -√(2x + h) + √2x (-√(2x + h) - √2x)

h (-√(2x + h) - √2x)

= h>0 4x + 2h - 4x

h(-√(2x + h) -√2x)

= h>0 2h

h(-√(2x+h) - √2x)

= h>0  2 

-√(2x+h) - √2x

MrRissso [65]3 years ago

3 0

$\\ \sf\longmapsto f(x)=\sqrt{2x}$

Now

$\\ \sf\longmapsto \dfrac{1}{-(\sqrt{2x+2h}-\sqrt{2x})}$

There we plot 2h because if we break root over then it becomes √2h which satisfies f(x)

$\\ \sf\longmapsto \dfrac{1}{-\sqrt{2x+2h}+\sqrt{2x}}$

Option D

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Paladinen [302]

Answer: p = 8

Step-by-step explanation:

6(4-2p)+9p

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3 years ago

5 pointsWhich is the image of vertex Lafter the triangle is rotated 180 degrees about the origin?

Anastasy [175]

The image of vertex L after the triangle is rotated 180 degrees about the origin= (-2, -1).

Option B.

First let's stae the the original location of the figure on the graph.

From the graph:

L (2, 1)

W(1, -3)

O (-1, -2)

A rotation of 180 degrees about the origin will change the x and y axis of each location to the opposite of those numbers;

Positive numbers becomes negative and negative numbers becomes positive.

The new location for L = L'

L' = (-2, -1)

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W' = (-1, 3)

The new location for O = O'

O' = (1, 2)

Hence, the image of vertex L after the triangle is rotated 180 degrees about the origin= (-2, -1).

Option B.

6 0

1 year ago

Find the sum of the first 7 terms of the following series, to the nearest integer.

Virty [35]

Answer:

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3 years ago

A high school Philanthropy Club is collecting plastic waste which will be used to create benches for a local park. The volume of

Zolol [24]

Answer:

The expression 7x represents the height of the container.

Step-by-step explanation:

From the question:

We are being informed that; if the length of the container is half of a foot longer than its width.

Let the width be x;

Then the length of the container can now be ; x+1/2

We all known that the volume of a rectangular prism is : V= l×w×h

here;

l = length

w = width

h = height

If we rewrite the given expression :

$\mathbf{7x^3+3.5x^2}$ ;

Then we factor we make a similar coefficient of the above equation, the remaining entities left in the parenthesis should be a linear term with a leading coefficient of 1 to match the expression for the length of the container.

i.e

$\mathbf{7x^3+3.5x^2}} \\ \\\mathbf{7x^2(x+1/2)} \\ \\\mathbf{7*x*x*(x+1/2)}$

Hence, if the length of the container is half a foot longer than its width, x, then the expression 7x represents the height of the container.

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3 years ago

(8w)^2 without parentheses

Nataly [62]

Answer:

I believe the answer would be 64w2.

Step-by-step explanation:

8 squared is 8 x 8, which equals 64, and then w squared is just w2, since we don't know what it is. Put them together, and the answer is 64w2.

5 0

4 years ago