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2 years ago

How to solve -5(x-3)=-25

Mathematics

2 answers:

gayaneshka [121]2 years ago

4 0

-5(x-3)=-25

-5x+15=-25

-15 -15

-5x = -40

÷-5 ÷-5

x = 8

zhenek [66]2 years ago

4 0

Answer:

x=8.

Step-by-step explanation:

Yo can solve the equation in two steps: multiplying and adding.

First, let's pass the -5 to the other side multiplying by $\frac{1}{-5}$ in both sides and solve the division obtained:

$x-3=-25\frac{1}{-5}$

$x-3=\frac{-25}{-5}$

$x-3=5$

Finally, let's add 3 in both sides to clear x and solve the addition obtained:

$x=5+3$

$x=8.$

Then, the solution to the equation is x=8.

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snow_lady [41]

Answer:

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3 years ago

Dy/dx = y/x^2

Lady_Fox [76]

Dy/dx = y/(x^2)
dy/y = dx/(x^2)
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So you have the correct answer. Nice job.

------------------------------------------------

Check:
y = C*e^(-1/x)
dy/dx = d/dx[C*e^(-1/x)]
dy/dx = d/dx[-1/x]*C*e^(-1/x)
dy/dx = (1/(x^2))*C*e^(-1/x)
is the expression for the left hand side (LHS)

y/(x^2) = [C*e^(-1/x)]/(x^2)
y/(x^2) = (1/(x^2))*C*e^(-1/x)
is the expression for the right hand side (RHS)

Since LHS = RHS, this confirms the solution for dy/dx = y/(x^2)

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3 years ago

an artist enlarged a drawing she made. the original is 3cm wide and 5cm tall .the artist set the copier zoom button to 120% . wh

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For this case we have the following data:

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Width: 3cm

Height: 5cm

If the copier zoom is at 120%, we can find the new dimensions of the drawing by making a rule of three:

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Where x represents the new width of the drawing:

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Long:

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Where y represents the new long of the drawing:

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Thus, the new dimensions are 3.6 cm wide and 6 cm long

Answer:

the longer dimension of the new drawing is 6cm

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