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Fofino [41]
3 years ago
9

3/4w+8=1/3w-7 find value of w

Mathematics
1 answer:
Anika [276]3 years ago
4 0
3 / 4 w + 8 = 1 / 3 w - 7

Multiply by LCD = 4 ( w + 2 )(3w - 7)

3(3w-7) = 4(w + 2)

3*3w - 3*7 = 4 * w + 4 * 2

9 w - 21 = 4 w + 8

Add 21 to both sides :

9w - 21 + 21 = 4w + 8+ 21

9w = 4w + 29

9w - 4w = 29

5 w = 29

Divide both sides by 5 :

5 w / 5 = 29 / 5

w = 29 / 5

hope this helps!

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Question 1- Whats the derivative of: A) f(x)= 4 cos(x) + ln(x+1)<br> B) f(x)= sec(x) X tg(x)
Kryger [21]

The derivatives for this problem are given as follows:

a) f^{\prime}(x) = -4\sin{x} + \frac{1}{x + 1}

b) f^{\prime}(x) = \sec{x}\tan^{2}{x} + \sec^3{x}.

<h3>What is the derivative of the sum?</h3>

The derivative of the <u>sum is the sum of the derivatives</u>.

In this problem, the function is:

f(x) = 4\cos{x} + \ln{(x + 1)}

Using a derivative table for the derivatives of the cosine and the ln, the derivative of the function is:

f^{\prime}(x) = (4\cos{x})^{\prime} + (\ln{(x + 1)})^{\prime}

f^{\prime}(x) = -4\sin{x} + \frac{1}{x + 1}

What is the product rule?

The derivative of the product is given as follows:

(f(x) \times g(x))^{\prime} = f^{\prime}(x)g(x) + g^{\prime}(x)f(x)

In this problem, we have that:

  • f(x) = \sec{x}, f^{\prime}(x) = \sec{x}\tan{x}.
  • g(x) = \tan{x}, f^{\prime}(x) = \sec^2{x}.

Hence the derivative is:

f^{\prime}(x) = \sec{x}\tan^{2}{x} + \sec^3{x}.

More can be learned about derivatives at brainly.com/question/2256078

#SPJ1

4 0
2 years ago
Find the area of the composite figure, rounding to the nearest tenth.
Ugo [173]

Answer:

85,1 ft^2

Step-by-step explanation:

Semicircle area : 4^2π / 2 = 8π = 25,1 ft^2

Triangle area : (8 x 15) / 2 = 60 ft^2

Total Area = 60 + 25,1 = 85,1 ft^2

7 0
3 years ago
Math. Is it A B C D.
timofeeve [1]

Answer:

its a

Step-by-step explanation:

8 0
3 years ago
How do you work out the equation 1-x=9.
mafiozo [28]

Answer:

x=8

Step-by-step explanation:

x + 1 = 9

Simplifying

x + 1 = 9

Reorder the terms:

1 + x = 9

Solving

1 + x = 9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + x = 9 + -1

Combine like terms: 1 + -1 = 0

0 + x = 9 + -1

x = 9 + -1

Combine like terms: 9 + -1 = 8

x = 8

Simplifying

x = 8

7 0
4 years ago
Will give brainliest please help!!<br><br>Which expression is equivalent to 5.5x + 1-(1,5x+17)?​
Crazy boy [7]

Answer:

4x - 16

Step-by-step explanation:

X can be any value (I made it 20)

5.5(2)+ 1 - (1.5(2) +17)

11 + 1 - 20

12 -20

-8

4(2) - 16

8 - 16

-8

You better say thanks (from a grade 9 academic student)

3 0
3 years ago
Read 2 more answers
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