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sweet-ann [11.9K]
3 years ago
10

URGENT DUE IN 20 MINUTES FOR GRADE PLEASE HELP 2/3 (x-7)= -2

Mathematics
1 answer:
ASHA 777 [7]3 years ago
7 0
<span>2/3 (x-7)= -2
x - 7 = -2 * 3/2
x - 7 = -3
x = -3 + 7
x = 4</span>
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What the second answer ​
Debora [2.8K]

Answer:

1. y' = 3x² / 4y²

2. y'' = 3x/8y⁵[(4y³ – 3x³)]

Step-by-step explanation:

From the question given above, the following data were obtained:

3x³ – 4y³ = 4

y' =?

y'' =?

1. Determination of y'

To obtain y', we simply defferentiate the expression ones. This can be obtained as follow:

3x³ – 4y³ = 4

Differentiate

9x² – 12y²dy/dx = 0

Rearrange

12y²dy/dx = 9x²

Divide both side by 12y²

dy/dx = 9x² / 12y²

dy/dx = 3x² / 4y²

y' = 3x² / 4y²

2. Determination of y''

To obtain y'', we simply defferentiate above expression i.e y' = 3x² / 4y². This can be obtained as follow:

3x² / 4y²

Let:

u = 3x²

v = 4y²

Find u' and v'

u' = 6x

v' = 8ydy/dx

Applying quotient rule

y'' = [vu' – uv'] / v²

y'' = [4y²(6x) – 3x²(8ydy/dx)] / (4y²)²

y'' = [24xy² – 24x²ydy/dx] / 16y⁴

Recall:

dy/dx = 3x² / 4y²

y'' = [24xy² – 24x²y (3x² / 4y² )] / 16y⁴

y'' = [24xy² – 18x⁴/y] / 16y⁴

y'' = 1/16y⁴[24xy² – 18x⁴/y]

y'' = 1/16y⁴[(24xy³ – 18x⁴)/y]

y'' = 1/16y⁵[(24xy³ – 18x⁴)]

y'' = 6x/16y⁵[(4y³ – 3x³)]

y'' = 3x/8y⁵[(4y³ – 3x³)]

6 0
2 years ago
What is the excluded value of x / x^2 +2x -3​
Rzqust [24]

Answer:

x = - 3 and x = 1

Step-by-step explanation:

Given the rational expression

\frac{x}{x^2+2x-3}

The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be, that is

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

Thus x = 1 and x = - 3 are both excluded values

3 0
3 years ago
What is the logarithmic form of the solution to 102t = 9?
Harman [31]

Equivalent equations are equations that have the same value

The equation in logarithmic form is t = \frac{\log(9)}{2}

<h3>How to rewrite the equation</h3>

The expression is given as:

10^{2t} = 9

Take the logarithm of both sides

\log(10^{2t}) = \log(9)

Apply the power rule of logarithm

2t\log(10) = \log(9)

Divide both sides by log(10)

2t = \frac{\log(9)}{\log(10)}

Apply change of base rule

2t = \log_{10}(9)

Divide both sides by 2

t = \frac{\log_{10}(9)}{2}

Rewrite as:

t = \frac{\log(9)}{2}

Hence, the equation in logarithmic form is t = \frac{\log(9)}{2}

Read more about logarithms at:

brainly.com/question/25710806

8 0
2 years ago
A pickup truck that can hold up to 3000 pounds is carrying a big machine that is 300 pounds and a few smaller ones that each wei
djyliett [7]

Answer:

no more than 45

Step-by-step explanation:

3k-300 leaves u with 2700/60 and you get 45

7 0
2 years ago
Read 2 more answers
PLEASSSSEEEE SOLVE AND EXPLAIN WILL GIVE BRAINLIEST
Aleks04 [339]

Answer:

15w³

Step-by-step explanation:

you need to check for the of 225w^6 and see what you can take out.

you can take 3 w's out. and 225 is a perfect square, because 15² = 225

(basically the answer you have in there but you just have to get rid of square root)

8 0
3 years ago
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