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3 years ago

3[-x + (2 x + 1)] = x - 1 what is x

Mathematics

1 answer:

Nataly_w [17]3 years ago

4 0

The answer you are looking for is x=-2.

Solution/Explanation:

Writing out the equation

3[-x+(2x+1)]=x-1

Simplifying inside of the brackets first

Combining like terms, since -x+2x=x

3(x+1)=x-1

*You can remove the parenthesis, if preferred.

Using the Distributive Property on the left side of the equation

3x+3=x-1

Now, subtracting the "x" variable from both sides

3x+3-x=x-x-1

"x-x" cancels out to 0.

3x+3-x=-1

Combining like terms and simplifying

3x-x+3=-1

2x+3=-1

Subtracting 3 from both sides of the equation

2x+3-3=-1-3

"3-3" cancels out to zero.

2x+0=-1-3

2x=-1-3

Simplifying the right side of the equation

2x=-4

Finally, dividing both sides by 2

2x/2=-4/2

Simplifying the final part of the problem

Since 2x/2=x and -4/2=-2

x=-2

So, therefore, the final answer is x=-2.

Hope that this has helped you. Good day to you.

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Suppose that y is inversely proportional to square root of x.

FromTheMoon [43]

Answer:

i) k = 36.8

ii)y = 36.8/square root of x

iii)y = 1.4

Step-by-step explanation:

If y is inversely proportional to square root of x;

then the two variables are related by,

y = k/ square root of x

i)Value of k when...x = 8 and y = 13,

substitute into the equation above..so as to find the value of k

13 = k/square root of 8

;k = 13 × square root of 8

;k = 36.8

ii)Then substitute the value of k with...36.8

y = 36.8/square root of x

iii)If x = 27...then y =;

y = 36.8/27

y = 1.4

7 0

3 years ago

Is this correct? - giving brainly if you did check!

Naddik [55]

Answer:

Correct

Step-by-step explanation:

8 0

2 years ago

Roberto rented a truck from the Super Truck Company for 9 hours. There was a rental fee of $50. Allison rented a truck from Truc

gavmur [86]

Answer:

Hence, the hourly rental fee is $\$\: 12$ .

Step-by-step explanation:

Time for which Roberto rented the truck $=9$ hours.

Rental fee $=\$ \:50$

Time for which Allison rented the truck $=4$ hours.

Rental fee $=\$ \:110$

Both companies have the same hourly rental fee.

Let the hourly rental fee of both the companies be $x$ .

Both spent the same amount.

So, according to the question,

$\Rightarrow 50+9x=110+4x$

$\Rightarrow 9x-4x=110-50$

$\Rightarrow 5x=60$

$\Rightarrow x=\frac{60}{5}$

$\Rightarrow x=12$

Hence, the hourly rental fee is $\$\: 12$ .

4 0

3 years ago

Find the height of the tower using the information given in the illustration. A right triangle has a a vertical side as the heig

ollegr [7]

Answer:

1725.1 feet

Step-by-step explanation:

It is given that there is a right angled triangle having a base of length of 130 feet. The angle between the hypotenuse and the base is given as 85.691 degrees.

Therefore, to find the height, we know :

$\tan \theta = \frac{\text{height}}{\text{base}}$

$\tan 85.691 = \frac{\text{h}}{\text{130}}$

$13.27 = \frac{\text{h}}{\text{130}}$

h = 13.27 x 130

= 1725.1 feet

Therefore, the height of the Eiffel tower = 1725.1 feet

4 0

3 years ago

The angle \theta_1θ 1 theta, start subscript, 1, end subscript is located in Quadrant \text{II}IIstart text, I, I, end text, a

andrew11 [14]

Answer:

$\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}$

Step-by-step explanation:

The angle $\theta_1$ is located in Quadrant II.

$\sin(\theta_1)=\dfrac{1}{4}$

From trigonometry, we know that:

$\sin(\theta)=\dfrac{Opposite}{Hypotenuse}\\$Therefore:\\Opposite=1\\Hypotenuse=4\\Using Pythagorean theorem:\\Hypotenuse^2=Opposite^2+Adjacent^2\\4^2=1^2+Adjacent^2\\Adjacent^2=16-1\\Adjacent^2=15\\Adjacent=\sqrt{15}$

Now, in Quadrant II,

The x-axis is negative
The y-axis is positive

Therefore, the Adjacent angle to $\theta_1 =-\sqrt{15}$

Therefore:

$\cos(\theta_1)=\dfrac{Adjacent}{Hypotenuse}=\dfrac{-\sqrt{15}}{4}\\\\\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}$

8 0

3 years ago