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Oduvanchick [21]
3 years ago
10

Give the degree and classify the polynomial by the number of terms. 3s³ +3s

Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0

Let's start with classifications:

monomial: there's only one term, so not + or -

    examples: 7x^5  or  -9x

binomial: there are two terms, so only one + or one -

    examples: 7x^5 - 9x  or  -3x^2+1

trinomial: there are three terms

    examples: 7x^5 - 9x^4 + 3  or  -8p^3+2x^2-x

Now the degree of a term is the number of variables multplied on that term.

    example: 7x^3 is degee three, because7x^3 = 7\cdot x\cdot x\cdot x and there are three x's.

    example: -8x^2 really means -8\cdot x\cdot x, so that's degree 2.

Finally, the degree of a polynomial (which is what this is asking for) is the degree of the highest degree term.

    example: 7x^5 - 9x has a 5th degree term and 1st degree term, so this is a degree 5 polynomial, since that's the greatest.

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The X intercepts would be -1 and 2

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A(n) = -6 + 3/n - 1)<br> Find the 16th term in the sequence.
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15x-5x=-47 solve by combining like terms and show all steps plz
KonstantinChe [14]
You solve equations be isolating the variable you want to solve for. In this case x.
On the left-hand side of the equation, we have 15x - 5x. We can simplify it to 10x.

What we did is called combining like terms. To combine terms, they must have the same variable(s) and exponent. Even though no exponent was shown for either the 15x or 5x, it is implied they are 15x^1 - 5x^1

We don't show the exponent 1 because it doesn't change the value.

Now we have the equation 10x = -47

On the left-hand side, x is being multiplied by 10. We need to reverse the multiplication operation done to x to find the value of x.

What is the opposite of multiplication? Division!

So, just divide the left-hand side by 10.

But, wait! For everything we do on one side, we must also do on the left-hand side. This way, everything stays balanced.

10x / 10 = -47 / 10
x = -47/10

We can change the improper fraction -47/10 into a decimal.
Just divide the top by the bottom.

-47 / 10 = -4.7

So, x is equal to -4.7.


8 0
4 years ago
Carlos cycles for 2 hours at a fast speed, then cycles for 3 more hours at a speed 10 km/h slower than this. If the entire dista
poizon [28]

Answer:

f=24km/h

Step-by-step explanation:

Alright, here's what we know.

He travels 2 hours at a fast speed, lets call that speed f km/h

He then travels 3 hours at (f-10) km/h

In these 5 hours, he travels 90km

So we have the formula velocity = distance/time. If you don't know where that formula comes from, let me know and I'll explain.

So we have:

v=\frac{d}{t}

d and t are given to us as 90 and 5 respectively

v is going to be his average speed, so we take 2 times the fast speed plus 3 times the slower speed and divide it by 5. This gives us the average speed he traveled over the 5 hours.

\frac{2f+3(f-10)}{5} =\frac{90}{5}

2f+3f−30=90  by cancelling the 5's in the denominator and expanding 3(f−10)

5f=120

f=24km/h

So his faster speed is 24 km/h. Let me know if this solution did not make sense to you at any point.

6 0
3 years ago
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