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Ksenya-84 [330]

2 years ago

11

The solution of 4(x + 1) = 4(2 – x)

2 answers:

Pavel [41]2 years ago

7 0

Step-by-step explanation:

4x+4=8-4x

4x+4+(4x)=8-4x+(4x)

8x+4-(4)=8-(4)

8x÷(8)=4÷(8)

x=0.5 or 1/2

Galina-37 [17]2 years ago

5 0

4x+4=8-4x

4x+4x=8-4

8x=4

x=4/8

x=1/2

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I need the answer, help me please

Margaret [11]

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Y = -2/3x + b
Plug in the point (6,-2)
-2 = -2/3(6) + b
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2 years ago

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castortr0y [4]

P= the car is blue
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2 years ago

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How do you write 70,000,000+400,000+10,000+8,000+500+30+9 in word form

alina1380 [7]

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2 years ago

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The ages of trees in a forest are normally distributed with a mean of 25 years and a standard deviation of 4. Approximately what

harkovskaia [24]

Answer:

78.88%

Step-by-step explanation:

We have been given that

$\mu=25,\sigma=4,x_1=20,x_2=30$

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$z-\text{score}=\frac{x-\mu}{\sigma}$

For $x_1=20$

$z_1=\frac{20-25}{4}\\\\z_1=-1.25$

For $x_2=30$

$z_2=\frac{30-25}{4}\\\\z_2=1.25$

Now, we find the corresponding probability from the standard z score table.

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6 0

3 years ago

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A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?

professor190 [17]

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let $x\cdot y = 18$ , we get an additional equation by implicit differentiation:

$x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (1)

From the first equation we find that:

$x = \frac{18}{y}$ (2)

By applying (2) in (1), we get the resulting expression:

$\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (3)

$y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}$

$\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}$

If we know that $y = 6$ and $\frac{dy}{dt} = 8$ , then the first derivative of x in time is:

$\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)$

$\frac{dx}{dt} = -4$

From (1) we determine the value of x at this instant:

$x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}$

$x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)$

$x = -6\cdot \left(\frac{-4}{8} \right)$

$x = 3$

The value of x at this instant is 3.

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2 years ago