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3 years ago

Write the value of b when the expression 14.1x + b is equivalent to 4.7(3x – 5).

Mathematics

1 answer:

katovenus [111]3 years ago

6 0

Answer:

b = -23.5

Step-by-step explanation:

4.7(3x - 5) = 14.1x - 23.5

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MAVERICK [17]

Answer:

$\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C$

Step-by-step explanation:

We are given that

$\frac{dx}{dt}=\frac{1}{xe^{t+7x}}$

We have to find the implicit function

Using separation variable method

$\frac{dx}{dt}=\frac{1}{xe^t\cdot e^{7x}}$

By using property $x^a\cdot x^y=x^{a+y}$

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By using property $\frac{1}{x^a}=x^{-a}$

Taking integration on both sides

$\int xe^{7x}dx=\int e^{-t}dt$

Parts integration method

$\int u\cdot v dx=u\int vdx-\int (\frac{du}{dx}\int vdx)dx$

By parts integration method

$x\int e^{7x}dx-\int (\frac{dx}{dx}\int e^{7x}dx)dx=-e^{-t}+C$

Using formula $\int e^{ax} dx=\frac{e^{ax}}{a}+C$

$\frac{xe^{7x}}{7}-\frac{1}{7}\int e^{7x}dx=-e^{-t}+C$

$\frac{xe^{7x}}{7}-\frac{1}{49}e^{7x}+e^{-t}=C$

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We are given that

$F(x,t)=C$

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3 years ago

A rose garden in the city park is rectangular and is 9m wide. If the area of the rectangle is 144m, what is the length of the ga

Keith_Richards [23]

Answer:

So 144 divided by 9 equals 16 so the length is 16. Cause 16 x 9 = 144 Your Welcome !

Step-by-step explanation:

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3 years ago

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While Solving a proportion problem you multiply the x and the numerator or denominator. (Diagonal from the x)

Step-by-step explanation:

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