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2 years ago

Simplify – 2(7x – 3)

Mathematics

1 answer:

ANTONII [103]2 years ago

5 0

All you need to do here is multiply the outside number by both 7x and -3.

When done correctly it should look like this:

-14x+6

Thats the answer.

7 times 2 gives you 14 but when multiplying mixed signs it turns negative so it would be -14.

negative 3 times negative 2 gives you 6. Both signs are negative, and you would suppose it would turn into a negative but thats only true when both signs are mixed. Both the 3 and the 2 are negative, making the signs the samez giving you positive

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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

wlad13 [49]

Answer:

$\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

Step-by-step explanation:

To solve the question we refresh our knowledge of the quotient rule.

For a function f(x) express as a ratio of another functions u(x) and v(x) i.e

$f(x)=\frac{u(x)}{v(x)}\\$ , the derivative is express as

$\frac{df(x)}{dx}=\frac{v(x)\frac{du(x)}{dx}-u(x)\frac{dv(x)}{dx}}{v(x)^{2} }$

from $y=lnx/x^{2}$

we assign u(x)=lnx and v(x)=x^2

and the derivatives

$\frac{du(x)}{dx}=\frac{1}{x}\\\frac{dv(x)}{dx}=2x\\$ .

Note the expression used in determining the derivative of the logarithm function.it was obtain from the general expression of logarithm derivative i.e $y=lnx\\\frac{dy}{dx}=\frac{1}{x}$

If we substitute values into the quotient expression we arrive at

$\frac{dy}{dx}=\frac{(x^{2}*\frac{1}{x})-(2x*lnx)}{x^{4}}\\\frac{dy}{dx}=\frac{x-2xlnx}{x^{4}}\\\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

8 0

2 years ago

Four triangles are shown. One side of each triangle lies on a ray, and the triangles are not drawn to scale. Based on these tria

Firdavs [7]

Answer:

x=120 so the third one

Step-by-step explanation:

x=98+22

x=120

3 0

2 years ago

Read 2 more answers

Marion Pelk worked 9 days in two weeks. He worked each day and was paid $7.1 an hour. What gross pay he earn for the two weeks?

Andrews [41]

Answer:

$1533.60 !

Step-by-step explanation:

$7.10 per hour needs to be times by 24 (to calculate the pay per day) = $170.40 then times that by 9 = $1533.60 (The pay for 9 days which is coincidently the pay per 2 weeks!

Job done! The answer is $1533.60!

[If I am wrong please message me and tell me]

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3 years ago

16. Find the domain of x^2 + 5x + 4 / x^2 + 7x + 6

seropon [69]

Answer:

what is 52437 rounded to the bearest hundred

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2 years ago

Given the equation startfraction 2 x 2 over y endfraction = 4 w 2 what is the value of x? x = y w y minus 1 x = 2 y w y minus 1

Leona [35]

The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1) (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1) (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1 ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

Find out more information about equation here:

brainly.com/question/14686792

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1 year ago