All categories

3 years ago

Solve for x.

Mathematics

2 answers:

Alex Ar [27]3 years ago

6 0

Answer:

Step-by-step explanation:

3x^2 - 4x - 2 = 0

Solution:

x = 2 + sqrt 10/3

x = 2 - sqrt 10/3

Decimal:

x = 1.72076.....

x = 0.38743.....

Solve Quadratic equation:

3x^2 - 4x - 2 = 0

Use quadratic formula:

a = 3

b = -4

c = -2

Showing Work:

x = -b +/- sqrt b^2 - 4ac/2a

x = -( -4) +/- sqrt (-4^2) - 4(3) ( -2)/ 2(3)

x = 4 +/- sqrt 40/6

Ans: x = 2/3 + 1/3 sqrt 10 or x = 2/3 + -1/3 sqrt 10

Hope that helps!!!!!! : ) -P-

Sphinxa [80]3 years ago

4 0

Answer

1.72 or -0.387

Explanation

3x²-4x-2=0

3x²-4x = 2

x² - (4/3)x = 2/3

x² - (4/3)x + (2/3)² = 2/3 + 4/9

(x - 2/3)² = 10/9

x - 2/3 = √10/3 or x - 2/3 = -√10/3

x = √10/3 + 2/3 or x = -√10/3 + 2/3

= 1.72 or = -0.387

You might be interested in

The lead statue of the Korean War Memorial in Washington DC casts a 43.5 inch shadow at the same time a nearby tourist casts a 3

AfilCa [17]

Answer:

The lead statue is 87 inches tall

Step-by-step explanation:

Let

x ----> the height of the lead statue

using proportion

we know that

The height of the lead statue divided by the length of his shadow must be equal to the height of the tourist divided by the length of his shadow.

$\frac{x}{43.5}=\frac{64}{32}\\\\\frac{x}{43.5}=2\\\\x=2(43.5)\\\\x=87\ in$

3 0

3 years ago

The Opera House sells an average of 1,700 tickets per night when the price of each ticket is $25. An employee of the Opera House

irakobra [83]

So here's the solution to the problem:

Calculate the average sell:

1,700 * $25 = $42,500 (revenue)

And if the Opera House wants to increase their revenue:

The price of a ticket will be:

$25 - x (where x is the number of 1-dollar decreases)

The number of tickets in total:

1,700 + 200x

Therefore the equation is:

(1,700 +200x) * ( 25 - x ) = 55,000

We can also solve this equation, but the solutions are not whole numbers.

x 1 = 5.89 and x 2 =10.6

For x = 6 (6 times 1 - dollar decreases):

( 1,700 + 200 * 6 ) * ( 25 - 6 ) = ( 1,700 + 1,200 ) * 18

=2,900 *19 = 55,100 (we will yield the revenue over $55,000)

3 0

3 years ago

Find the ranges of these numbers 35 45 30 45 70

serg [7]

Answer:

The range is 40.

Step-by-step explanation:

Range is just the largest number minus the smallest.

70 - 30 = 40

5 0

3 years ago

What does the y intercept represents

IgorC [24]

I’m pretty sure the answer is C.

3 0

3 years ago

Please help! Help me with the steps as well not just answers:/

serious [3.7K]

For question 1 you need to find the sqared values of the hypotenuse, which has a length of 15, and leg b, which has a length of 12. This gives you a hypotenuse of 225 and a leg which is 144. Subtract your given leg squared from your hypotenuse squared (aka 225-144). This leaves you with 81. Now find the square root of this, which is 9.

For question 2 you need to find the squared value of legs a and b. Leg a has an initial length of 6, which squared is 36. The same applies for leg b. Now add 36 to 36 to get 72. All you have to do is find the square root of that to have your answer. Since 72 isn't a perfect square, just simplify the root to 3 root 8, aka
$3 \sqrt{8}$
For question 3, repeat the process used in question 1. The square of a square root is the original number (ex: the sqare root of 3 squared is 3). Subtract 7 from 19 to get 12. 12 isn't a perfect square, so simplify the root. You should end up with 2 root 3, aka
$2 \sqrt{3}$

For question 4 you must find the sqared value of a, b, and c. The sum of the sqared values of a and b is equal to the squared value of c. If c is 10 and a and b are both x, then the formula is
${x}^{2} + {x}^{2} = 100$
or
$2 {x}^{2} = 100$
Next, simplify this by first dividing by 2 on each side. You are then left with x squared equals 50. Simplify the root to 5 root 2, aka
$5 \sqrt{2}$

For question 5 you need to find the squared value of 47 and 25. This leaves you a hypotenuse of 2209 and a width of 625. Subtract 625 from 2209. This leaves you with 1584. Find the sqare root of this to find your length. Since it isn't a perfect square, simplify the root to get 12 root 11, aka
$12 \sqrt{11}$

I hope this helps clear things up for you!

3 0

3 years ago