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3 years ago

If a polynomial function f(x) has roots -8,1, and -6i , what must also be a root of f(x) ?

1 answer:

6 0

Heya !

In mathematics, the complex conjugate root theorem states that if P is a polynomial in one variable with real coefficients, and a + bi is a root of P with a and b real numbers, then its complex conjugate a − bi is also a root of P.

Here , one complex root is given -6i hence , the other must be 6i.

Hope it helps you ! :)

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Without calculating, explain how many decimal places are in the product 0.6 X0.4 X 1.9. Rewrite the expression as the product of

Vladimir79 [104]

There's only one decimal point in the answer. This is quite obvious. Regardless of whether or not your adding, subtracting, dividing, or multiplying, there's really only going to be one decimal, ever. This doesn't change, However, what DOES change are decimal PLACES.

Looking at the problem, you see both .6 and .4 are placed to the right of the decimal, otherwise known as the tenths place (1/10).

Looking at 1.9, you see you have one number (1) placed to the left of the decimal, the ones place, and another number placed to the right of the decimal (9), in the tenths place.

Well, this is simple. You can look and see that your multiplying fractions against a whole number, which will of course make this whole number even smaller. By how much though??

Well, you can really tell this by looking at how MANY numbers are behind the decimal. You have .9, .4, and .6

That's 3 numbers behind the decimal place. This may not help you solve the problem itself, but this tells you here (ignoring the 1, that will be taken out immediately while solving and turned into a 0) that you will have 3 numbers placed from the tenths place all the way to the thousandths place.

Basically, this tells you that you'll have three decimal places to the right of the decimal.

As for rewriting your problem to better show this, that's simple too.

All you have to do is simple multiplication, just in the tenths place. How? You know that 6*4 (referring to .6 and .4) is 24, that means that .6*.4 will be .24

How does this support your answer before? .24 has TWO numbers to the right of the decimal. That's TWO decimal places. With the .9 in 1.9, that's still THREE decimal places to the right of the decimal, and your answer would be the same.

So, here's it re-written.
1.9*.24=X

~Hope this helps!

4 0

3 years ago

What is the value of n? n–2=10n+42

Bingel [31]

Answer:

N= -44/9 Hope this helped, <3

Step-by-step explanation:

Let's solve your equation step-by-step.

n−2=10n+42

Step 1: Subtract 10n from both sides.

n−2−10n=10n+42−10n

−9n−2=42

Step 2: Add 2 to both sides.

−9n−2+2=42+2

−9n=44

Step 3: Divide both sides by -9.

5 0

3 years ago

Read 2 more answers

(30 points!) Which equation of the least squares regression line most closely matches the data set?

snow_tiger [21]

4. it makes the most sense to me.

3 0

3 years ago

Read 2 more answers

Convert 6 feet into meters. round to the nearest tenth

Montano1993 [528]

6 ft into meters would be 1.829, rounding to to nearest tenth would be 1.8

3 0

3 years ago

Int he figure below find AC

Ahat [919]

Given :-

Two triangles with their two angles equal .

To Find :-

Measure of AC .

Answer :-

Here in ∆ABC and ∆EDC ,

$\angle$ CAB = $\angle$ CED (given )
$\angle$ CBA = $\angle$ CDE (given)

Therefore by AA similarity criterion , we can say that ∆ABC ~ ∆EDC . Also we know that corresponding sides of similar triangles are proportional . So ,

→ AC/EC = BC/DC

→ AC/9 = 8/12

→ AC = 8/12 * 9

→ AC = 6

Hence the measure of side AC is 6 .

I hope this helps.

7 0

3 years ago