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Using row properties of matrices:

\(\mathbf{A} \mathbf{u} = (2, 6, -2)\)

\(\mathbf{A} \mathbf{v} = (-2, 8, 12)\)

The area of triangle ADC is 14.

To factor the left-hand side, we need 2 numbers that sum to 5 and two numbers that multiply to \(3 \times -2 = -6\). The only two numbers that work are -1 and 6. 

Now, rewrite this equation to \(3x^2 - x + 6x - 2 = 0\). Just factor \(3x^2 - x \) to \(x(3x - 1)\) and factor \(6x - 2\) to \(2(3x - 1)\). 

Adding both of these gives us \((x+2)(3x-1) = 0\). 

If we want the product to be 0, x + 2 = 0, or 3x - 1 = 0. 

Can you take it from here?

I think they meant \(3x^2\), not 3x.

n=22; p = 1 - ((365 nPr n) / (365^n)) ==0.4756953077 - probability that atleast 2 share the same birthday.

The resulting product is less than........? What?

This question has been answered many times! Copy your question and paste it in "search Box" at the top right-hand corner.

Why didn't you finish your question? Were you asleep?!

Where are your pictures? Without pictures you would be lucky if somebody answers your questions at all!

What have done so far? Hint: All numbers between 100,000 and 900,000 have multiples of 8 ==sum of digits that are dividible by 8. So, you only have to worry about the last 900,000 to 999,999.

? Where's the array?

I'm guessing the question is asking for the population ten years ago.

Since the population has decreased by 30%, the population now (350,000) is 70% = 7/10 of the original population. So then,

\((\text{population 10 years ago})\cdot\frac{7}{10}=350,000\).

Multiplying both sides by 10/7 to cancel out the fraction gives

\(\text{population 10 years ago} = 350,000\cdot\frac{10}{7}=\boxed{500,000}\)

The answer is (-6, -1/3).

please help @melody

first, we can do 3x2.

so this would be 6+5x-2=0

Now, we can move all the numbers to the other side by adding or subtracting them on each side

6-6+5x-2+2=0-6+2

or

5x = -4

then divide both sides by 5

x = -4/5

By the quadratic formula,

\(x = \frac{-5 \pm \sqrt{5^2 - 4(3)(-2)}}{2} = \frac{-5 \pm 7}{2}\)

so the roots are -6 and 1.

The answer is (A).  Yay!

From the parallel lines, x = 75 - 50 + 90 = 115.

0.8% of 125% of 8128 is 81280.

Hi Lina,

If you comment on my answers you will be more likely to get help from me into the future.

The answer is 812.8.

The probability is 25/108.  Hope this helps!

The number of possible choices is 12,780.  Hope this helps!

Adding all the equations give us \(15(a+b+c+d+e) = 210\), meaning \(a + b + c + d + e = 14\). 

Now, try substituting this into all the equations and see what you get.

If you need help, I'd be more than happy to help you!