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Roman55 [17]
2 years ago
6

-x + 5 + 6x = 1 + 5x + 3

Mathematics
1 answer:
Pavlova-9 [17]2 years ago
7 0

Answer:

There are no values of

x

that make the equation true.

No solution

Step-by-step explanation:

-x + 5 + 6x = 1 + 5x + 3

Group like terms

-x+6x+5=1+5x+3

Add similar elements:-x+6x=5x

5x+5=1+5x+3

Group like terms

5x+5=5x+1+3

Add the numbers 1+3=4

5x+5=5x+4

Subtract 5 from both sides

5x+5-5=5x+4-5

Simplify

5x=5x-1

Subtract 5x from both sides

5x-5x=5x-1-5x

Simplify

0=-1

The sides are not equal

No Solution

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What is the derivative of the following function? f(x) = 4x^6/cos^5(x)
KIM [24]

Answer:

f'(x) = \frac{24x^{5} \cos x + 20x^{6}\sin x}{\cos^{6}x }

Step-by-step explanation:

We have to find the derivative of the following function:

f(x) = \frac{4x^{6} }{\cos^{5} x }

Now, differentiating both sides with respect to x we get,

f'(x) = \frac{\cos^{5}x (24x^{5}) - 4x^{6}(5\cos^{4}x )(- \sin x)}{(\cos^{5}x )^{2}}

⇒ f'(x) = \frac{ 24x^{5} \cos x + 20 x^{6}\sin x}{\cos^{6}x } (Answer)

{Since, we know that, \frac{d(mx^{n} )}{dx} = m \times n x^{(n - 1)} and \frac{d(\cos^{n} x)}{dx} = n \cos^{(n - 1)} x(- \sin x) }

5 0
3 years ago
Problem is in the attached picture. Thanks in advance!
bogdanovich [222]

Answer:

Width= 120 ft

Length= 285 ft

Step-by-step explanation:

W= width and (3w-75)= length since it's 75 less than 3 times the width

w+w+(3w-75)+(3w-75)=810

8w-150=810

8w=960

w=120

So the width is 120 ft

Then substitute the 120 in for w in the length

L= 3(120)-75

L=360-75

L=285

So the length is 285 ft

You can check because 120+120+285+285=810, and because 120×3-75=285!

6 0
3 years ago
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Tpy6a [65]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
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Masteriza [31]

Answer:

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Step-by-step explanation:

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Multiply through by 6 to eliminate the fraction

That's

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Move - 18f³ to the right side of the equation

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Divide both sides by M to make B stand alone

That's

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We have the final answer as

B = \frac{6D + 18 {f}^{3} }{M}

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