I don't understand how you do it

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

6 0

Container A:
y=-6x+800
800 is y intercept( it already have 800 before leaking)
leaking means that its went down so it had to be negative -6x)
container B:
y=-10x+1000
same thing with a container B
-6x+800=-10x+1000 = 800-6x=1000-10x

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What is the product of the polynomial 2x^3 + 8x^2 + x + 3 times the<br> monomial x?

Elis [28]

Answer:

$\huge\boxed{2x^4 + 8x^3 + x^2 + 3x}$

Step-by-step explanation:

When we multiply a polynomial by a specific monomial, all terms in the polynomial get multiplied by the monomial.

So we can do this by term.

$2x^3 \cdot x$

Multiplying x by x to the something power will just increase the exponent on the x term by one (since powers are just x multiplied by itself). This means the exponent here will increase by 1, so this becomes $2x^4$ .

Same logic applies to the second term: $8x^2$ , raise the exponent by one, $8x^3$ .

For the third term, if there is no exponent on a term you can assume it's exponent is 1 (so $x^1$ in this case - as $x^1=x$ ). Again, using the same logic, this turns into $x^2$ .

For the last term, when we multiply a constant by a variable, we get a term with a variable and a coefficient - the constant becomes the coefficient and the variable stays the variable. Therefore, $3 \cdot x = 3x$ .