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3 years ago

X2 – 6x + 8 = 0 is x = 2. What is the other solution?

Mathematics

1 answer:

Arada [10]3 years ago

8 0

Answer:

x₁ = 4

x₂ = 2

Step-by-step explanation:

x² - 6x + 8 = 0

x² - 2x - 4x + 8 = 0

x(x - 2) - 4(x - 2) = 0

(x - 4)(x - 2) = 0

x - 4 = 0 => x₁ = 4

x - 2 = 0 => x₂ = 2

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-1/2 + ( 3/4 x 4/9)

SIZIF [17.4K]

Answer:

-1/6

Step-by-step explanation:

-1/2 + ( 3/4 x 4/9)

PEMDAS says parentheses first

Rearranging the fractions

-1/2 + ( 3/9 x 4/4)

-1/2 + (1/3*1)

-1/2 + 1/3

Getting a common denominator of 6

-1/2 *3/3 + 1/3 *2/2

-3/6+2/6

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4 years ago

to arrive at 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution. How many liters of eac

CaHeK987 [17]

Answer:

800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

Step-by-step explanation:

Given:

At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.

Now, to find the number of liters of saline solution each should be used.

Let the liters of 90% saline solution mix be $x.$

And let the liters of 40% saline solution mix be $y.$

So, the total number of liters:

$x+y=2000.$

$y=2000-x\ \ \ ....(1)$

Now, the total percentage of saline solution:

$90\%\ of\ x+40\%\ of\ y=60\%\ of\ 2000$

$\frac{90}{100}\times x+\frac{40}{100}\times y=\frac{60}{100}\times 2000$

$0.9x+0.4y=1200$

Substituting the value of $y$ from equation (1) we get:

$0.9x+0.4(2000-x)=1200$

$0.9x+800-0.4x=1200$

$0.5x+800=1200$

Subtracting both sides by 800 we get:

$0.5x=400$

Dividing both sides by 0.5 we get:

$x=800.$

The liters of 90% saline solution mix = 800.

Now, substituting the value of $x$ in equation (1) to get the liters of 40% saline solution:

$y=2000-x$

$y=2000-800$

$y=1200.$

Thus, the liters of 40% saline solution = 1200.

Therefore, 800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

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4 years ago

A farmer has a bale of hay with a mass of 36 kg. How many milligrams of hay are in the bale?

Roman55 [17]

I got 36000000 . Hope this helps

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3 years ago

What is the volume of a sphere with a radius of 6 mm?

Mrrafil [7]

Answer:

$V = 904.779\,mm^{3}$

Step-by-step explanation:

The volume of a sphere can be determined by using the following formula:

$V = \frac{4\pi}{3}\cdot r^{3}$

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3 years ago

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4 years ago