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vlabodo [156]
2 years ago
13

Find the solution of the system of equations. 6x -y= 21. -5x + y= -18​

Mathematics
1 answer:
Lapatulllka [165]2 years ago
7 0
First one is -6 and the second one is -3
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At most, how many unique roots will a third-degree polynomial function have?
beks73 [17]

The fundamental theorem of algebra states that a polynomial with degree n has at most n solutions. The "at most" depends on the fact that the solutions might not all be real number.

In fact, if you use complex number, then a polynomial with degree n has exactly n roots.

So, in particular, a third-degree polynomial can have at most 3 roots.

In fact, in general, if the polynomial p(x) has solutions x_1,\ x_2,\ldots x_n, then you can factor it as

p(x) = (x-x_1)(x-x_2)\ldots (x-x_n)

So, a third-degree polynomial can't have 4 (or more) solutions, because otherwise you could write it as

p(x)=(x-x_1)(x-x_2)(x-x_3)(x-x_4)

But this is a fourth-degree polynomial.

7 0
3 years ago
What is 3. 2/15 simplified
coldgirl [10]
Hi there!

Okay, so I was a bit confused by your question, but I tried to make it a bit easier and work out.

There was two ways I did this because I didn't want to NOT answer your question!

What about this:

3.2/15 cannot be simplified lower than what it is. Decimal form is 0.2133333 (repeating). I answered this part because I didn't know what 3. was (I at first thought it was part of the numerator. But now that I look at it again it may have been a question number. But just in case, I answered it like this anyway.)

Next!

I solved 2/15, which also cannot be simplified down lower than what it is. It's decimal form is 0.133333 (another repeating decimal.)

And so as you can see I answered two problems for you. If these are incorrect, let me know!

Hope this helps!
7 0
3 years ago
Which equation represents this number sentence? The quotient of 7 and a number is 10 less than 3 times the number.
azamat
The answer is D 7/n=3n-10
5 0
3 years ago
ASAP ASAP ASAP ASAP <br> pls answer this question
pashok25 [27]
Just plot the points on the graph.
2. You know since the graph is a straight line, the ratios are proportional and therefore equivalent
8 0
2 years ago
Can someone help please
crimeas [40]
Answer is 5 because the other sides are 9 each
7 0
3 years ago
Read 2 more answers
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