Answer:
the quotient is 1x^2 - 2x - 3
Step-by-step explanation:
Here we're dividing the polynomial x3 - 7x-6 by the binomial x + 2.
Synthetic division works very well here. To use synthetic division we must write out all four (not three) terms of x^3 - 7x - 6:
Divide x^3 - 7x - 6 by x + 2 => Divide x^3 + 0x^2 - 7x - 6 by x + 2.
Dividing by x + 2 is equivalent to using -2 as the divisor in synthetic division.
Write out the synthetic division layout:
-2 / 1 0 -7 -6
-2 4 +6
----------------------------------------
1 -2 -3 0
Because the remainder is zero (0), we know that x + 3 divides into x^3 + 0x^2 - 7x - 6 evenly. From the coefficients 1, -2 and -3, we know that the quotient is 1x^2 - 2x - 3.
Thus, x^3 + 0x^2 - 7x - 6 = (x + 2)(x^2 - 2x - 3)
After expanding the expression by using distribution, you get P + Pr. Since r is the rate an item is taxed by, the term Pr expresses the additional amount that you have to pay in tax. Pr is the answer. I hope this helped!
Answer:
13
Step-by-step explanation:
3(2)(2) -4(2)+9
12 -8 +9= 13
Using the equation y = abx , substitute both of your given points into that equation.
2 = ab2 and 4 = ab3 Solve each equation for a.
2⁄b2 and 4⁄b3 = a Therefore, 2⁄b2 = 4⁄b3
Cross multiply: 2b3 = 4b2 Divide both sides by b2
2b = 4 a = 2/4 = 1/2
b = 2
y = 1 (2)x
2 hopefully this helped.
Answer:
5 3/8
Step-by-step explanation:
43/8
8 goes into 43 5 times with 3 left over so your answer will be
<h3>
= 5 3/8</h3>
