Answer:
The remainder will be 6.
Step-by-step explanation:
We have the function:
And we want to find the remainder after it is divided by the binomial:
We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) being divided by a binomial in the form (<em>x</em> - <em>a</em>), then the remainder will be given by P(a).
Here, our divisor is (<em>x</em> + 4). We can rewrite this as (<em>x</em> - (-4)).
Therefore, <em>a</em> = -4.
Then according to the PRT, the remainder will be:
The remainder will be 6.
Answer:
The total of the prices of all of the baby shirts and sweaters that the store sold during the sale was $420.00. It's possible that 12 sweaters and 8 shirts are sold a bargen
Step-by-step explanation:
Answer:
54÷9 = 6 so for the second box is 6 hot dogs per person
54÷27= 2 third box is 2 hot dogs per person
54÷54= 1 fourth box is 1 hot dog per person
<span>Let r(x,y) = (x, y, 9 - x^2 - y^2)
So, dr/dx x dr/dy = (2x, 2y, 1)
So, integral(S) F * dS
= integral(x in [0,1], y in [0,1]) (xy, y(9 - x^2 - y^2), x(9 - x^2 - y^2)) * (2x, 2y, 1) dy dx
= integral(x in [0,1], y in [0,1]) (2x^2y + 18y^2 - 2x^2y^2 - 2y^4 + 9x - x^3 - xy^2) dy dx
= integral(x in [0,1]) (x^2 + 6 - 2x^2/3 - 2/5 + 9x - x^3 - x/3) dx
= integral(x in [0,1]) (28/5 + x^2/3 + 26x/3 - x^3) dx
= 28/5 + 40/9 - 1/4
= 1763/180 </span>
25 minutes!! you were very close, you just needed to translate the fraction to minutes!
