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bulgar [2K]
3 years ago
11

What is work shown for 3 + 2/5x = -1

Mathematics
1 answer:
polet [3.4K]3 years ago
5 0

Answer:

x = -1/10

Step-by-step explanation:

3 + 2/5x = -1

multiply through by 5x to make the equation linear

3 × 5x + 2/5x × 5x/1 = -1 × 5x

15x + 2 = -5x

collect like terms

15x + 5x = -2

20x/20 = -2/20

x = - 1/10

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Please help asap 30 pts
pav-90 [236]
D. If you were to graph the parabola, the vertex would be (1,22).
7 0
3 years ago
Let the random variable X be equally likely to assume any of the values 1/14, 1/7, or 3/14. Determine the mean and variance of X
Dimas [21]

Answer:

1/7 ;

0.0034

Step-by-step explanation:

Given that:

X = 1/14, 1/7, 3/14

n = number of observations = 3

Since, probability of X is equally likely ;

P(X) = Σp(x) = 1 ; p(x) = 1/n = 1/3

The mean, m ;

Σx*p(x) = (1/3 * 1/14) + (1/3 * 1/7) + (1/3 * 3/14)

= 1/42 + 1/21 + 3/42

= (1 + 2 + 3) / 42

= 6 / 42

= 1/7

The variance :

Σx²*p(x) - m²

((1/3) * (1/14)^2) + ((1/3) * (1/7)^2) + ((1/3) * (3/14)^2) - (1/7)^2

= 0.0238095 - 0.0204081

= 0.0034014

= 0.0034

6 0
3 years ago
22: A 2.0 kg object moves along the x-axis under the influence of an unknown force. Its potential energy due to the force is U(x
aleksandr82 [10.1K]

Answer: a) -13.25 N, b) 1.78 m/sec

Step-by-step explanation:

Since we have given that

U(x)=ax^4+bx^2

where

a=2.5\ J/m^4\\\\b=12\ J/m^2

As we know that

F=\dfrac{-dU}{dx}=-(4ax^3+2bx)

Here, x= 0.5 m

So, it becomes,

F=-(4\times 2.5\times (0.5)^3+2\times 12\times 0.5)=-13.25\ N

Now, we need to find the velocity when it crosses the origin,

F=mg\\\\F=m\dfrac{dv}{dt}\\\\F=mv\dfrac{dv}{dx}\\\\-(4ax^3+2bx)dx=mvdv\\\\\int\limits^{0.5}_0 {-(4ax^3+2bx)} \, dx =\int\limits {mv} \, dv\\\\ \dfrac{-4ax^4}{4}+\dfrac{2bx^2}{2}|_0^{0.5}=\dfrac{mv^2}{2}\\\\ax^4+bx^2|_0^{0.5}=\dfrac{mv^2}{2}\\\\2.5(0.5)^4+12(0.5)^2=\dfrac{2v^2}{2}\\\\0.15625+3=v^2\\\\3.15625=v^2\\\\\sqrt{3.15625}=v\\\\v=1.78

Hence, a) -13.25 N, b) 1.78 m/sec

7 0
4 years ago
How do I solve this linear system using the elimination method?
kipiarov [429]

Answer:

Solution: x=4, y = \frac{5}{2}

Step-by-step explanation:

<u>System of Equations</u>

Solve the system:

x + 4y = 14

3x - 2y = 7

using the elimintation method.

To use the elimination method, we must add or subtract both equations in such a way that one of the variables goes away, and only one remains.

It requires to multiply one of them by a specific factor to match the coefficients. For example, multiply the first equation by -3:

-3x - 12y = -42

And add it to the second:

3x - 2y = 7

To result:

-14y = -35

Divide by -14:

y = -35/(-14)

Simplifying:

y = \frac{5}{2}

Now calculate x:

x = 14 - 4*\frac{5}{2}

x = 14-10

x=4

Solution: x=4, y = \frac{5}{2}

7 0
3 years ago
Find the equation of the line that is perpendicular to y=-2x+1 and contains the point (8, 2).
AleksAgata [21]

Answer:

y = 1/2x - 2

Step-by-step explanation:

In order for a line to be perpendicular to another, the lines must have opposite reciprocal slopes.

Example of an opposite reciprocal slope: -2 ⇒ 1/2

Insert the information into the point-slope formula:

y-y_1=m(x-x_1)\\\\y-2=\frac{1}{2}(x-8)\\\\y-2=\frac{1}{2}x-4\\\\y=\frac{1}{2}x-2

4 0
3 years ago
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