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3 years ago

Use synthetic division to divide x^3-8x^2+9x-5 by x-3

Mathematics

2 answers:

givi [52]3 years ago

6 0

Answer:

x2 - 5x - 6 + -23/x-3Step-by-step explanation:

ohaa [14]3 years ago

6 0

Answer:

x^2 - 6x - 6, remainder -23

Step-by-step explanation:

Start like this:

3 | 1 -8 9 -5

--------------------------------

First step is to copy the 1 to below the line.

3 | 1 -8 9 -5

--------------------------------

Now multiply 3 by 1 and write below the -8. Then add the product to the -8 and write the sum below the line.

3 | 1 -8 9 -5

| 3

--------------------------------

1 -5

Now multiply 3 by -5 and write below the 9. Then add the product to the 9 and write the sum below the line.

3 | 1 -8 9 -5

| 3 -15

--------------------------------

1 -5 -6

Now multiply 3 by -6 and write below the -5. Then add the product to the -5 and write the sum below the line.

3 | 1 -8 9 -5

| 3 -15 -18

--------------------------------

1 -5 -6 -23

Answer: x^2 - 6x - 6, remainder -23

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3 years ago

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3 years ago

Read 2 more answers

assume that when adults with smartphones are randomly selected 15 use them in meetings or classes if 15 adult smartphones are ra

Tanzania [10]

Answer:

The probability that at least 4 of them use their smartphones is 0.1773.

Step-by-step explanation:

We are given that when adults with smartphones are randomly selected 15% use them in meetings or classes.

Also, 15 adult smartphones are randomly selected.

Let X = <em>Number of adults who use their smartphones</em>

The above situation can be represented through the binomial distribution;

$P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; n = 0,1,2,3,.......$

where, n = number of trials (samples) taken = 15 adult smartphones

r = number of success = at least 4

p = probability of success which in our question is the % of adults

who use them in meetings or classes, i.e. 15%.

So, X ~ Binom(n = 15, p = 0.15)

Now, the probability that at least 4 of them use their smartphones is given by = P(X $\geq$ 4)

P(X $\geq$ 4) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3)

= $1- \binom{15}{0}\times 0.15^{0} \times (1-0.15)^{15-0}-\binom{15}{1}\times 0.15^{1} \times (1-0.15)^{15-1}-\binom{15}{2}\times 0.15^{2} \times (1-0.15)^{15-2}-\binom{15}{3}\times 0.15^{3} \times (1-0.15)^{15-3}$

= $1- (1\times 1\times 0.85^{15})-(15\times 0.15^{1} \times 0.85^{14})-(105 \times 0.15^{2} \times 0.85^{13})-(455 \times 0.15^{3} \times 0.85^{12})$

= <u>0.1773</u>

3 0

3 years ago

URGENT!! ILL GIVE

OverLord2011 [107]

If angle "a" measures 42° the the other angles that will be congruent to angle "a" and also measure 42° will be angle d, angle e and angle h .

In the question ,

a figure is given ,

From the figure we can see that 2 parallel lines are cut by a transversal .

So ,

angle a = angle d .......because vertically opposite angles .

angle a = angle e ...because corresponding angles are equal in measure

also

angle e = angle h .... because vertically opposite angles .

Therefore , If angle "a" measures 42° the the other angles that will be congruent to angle "a" and also measure 42° will be angle d, angle e and angle h , the correct option is (a) .

Learn more about Angles here

brainly.com/question/1597341

#SPJ1

4 0

1 year ago