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2 years ago

(r^3+6r^2-21r-18) ÷ (r-3) Show in Synthetic Division

Mathematics

2 answers:

Kipish [7]2 years ago

8 0

Answer:

r² + 9r + 6

Step-by-step explanation:

+3| +1 +6 -21 -18

|<u> +3 +27 +18</u>

+1 +9 +6 0

Answer:

=1r² +9r + 6 + 0

=r² +9r + 6 (simplified)

Read on if you want to know how it was done.

To do synthetic division, you first need to get the constant of the divisor and change the sign.

Then list the coefficients of the dividend.

Drop the first coefficient.

Multiply it by the divisor, and write the answer under the next coefficient and add. Repeat till the end.

The answer should be one degree less, the original polynomial.

mixas84 [53]2 years ago

4 0

For this case we must build a quotient such that when multiplied by the divisor, it eliminates the terms of the dividend until it reaches the remainder.

According to the figure we have that the quotient is:

$r ^ 2 + 9r + 6$

Answer:

Quotient:

$r ^ 2 + 9r + 6$

See attached image

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Ella stopped at a farm stand to buy some peaches. Peaches cost $1.35 per pound at the stand. Ella bought 4 peaches that weighed

Ostrovityanka [42]

Multiply the number of peaches by the number of pounds and add the number of pounds and multiply 1.35 by the number of pounds that you added up

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3 years ago

Find the Inverse of

Mekhanik [1.2K]

Answer:

y = 1/2x + 3

O f(x)= 1/2x+3

Step-by-step explanation:

f(x) = 2x - 6

y = 2x - 6

x = 2y - 6

2y = x + 6

y = (x + 6)/2

y = 1/2x + 3

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3 years ago

Hi, am I supposed to find the stationary points of the f(x) and g(x) then use the distance formula to solve for the final answer

nikdorinn [45]

9514 1404 393

Answer:

maximum difference is 38 at x = -3

Step-by-step explanation:

This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.

Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.

h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2

Then the derivative is ...

h'(x) = 3x² +4x -15 = (x +3)(3x -5)

This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.

The maximum difference between f(x) and g(x) is 38 at x = -3.

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2 years ago

here is a list of numbers: 12, 13, 19, 16 ,32, 15, 13.a)work out the range of the numbers in the list.b)work out the mean of the

ratelena [41]

Answer: Mean: 17.14 Range: 20.

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32-12 20

6 0

2 years ago

A set of piano prices distributed at a mean of 3000 and a standard deviation of 200 dollars. An electric piano has a price of 25

lana [24]

Answer:

The proportion of piano prices higher than the electric piano is 98.3%

Step-by-step explanation:

The first thing to do here is to calculate the standard score of the price of the electric piano given.

Mathematically, this is

z-score = (x-mean)/SD

where mean is 3000 and SD is 200, x is 2576

z-score = (2576-3000)/200 = -2.12

Now we proceed to calculate the probability of this z-score

The probability we are trying to calculate is

P( x > $2576) or simply P ( z > -2.12)

Using standard score probability calculator or table, we have

P(x>2576) = 1 - P(x<2576)

But, P(x<2576) = 0.017003

P(x>2576) = 1 - P(x<2576) = 0.983

This is same as 98.3%

4 0

2 years ago