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Tamiku [17]
3 years ago
14

If f (x) = x² – 3, then find f (8) =

Mathematics
1 answer:
Mrac [35]3 years ago
7 0

Answer:

61

Step-by-step explanation:

f(8)=8^2-3=64-3=61

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Given P(x) = 2x3 - 11x2 + 18x - 15 is divided by x – 3. Use synthetic division to find the quotient and the remainder.
katrin [286]
You can find the remainder right away by simply plugging in x=3. The polynomial remainder theorem guarantees that the value of p(3) is the remainder upon dividing p(x) by x-3, but I digress...

Synthetic division yields

3   |   2   -11   18   -15
.    |           6   -15     9
- - - - - - - - - - - - - - - - -
.    |   2     -5     3     -6

which translates to

\dfrac{2x^3-11x^2+18x-15}{x-3}=2x^2-5x+3-\dfrac6{x-3}

(and note that p(3)=2(3)^3-11(3)^2+18(3)-15=-6, as expected)
5 0
3 years ago
Tony flips a coin and gets heads. He tells his friend that he can get heads two more times in a row .what is the probability tha
Sergio [31]

Answer:

The probability is 1/8 or 0.125

Step-by-step explanation:

In this question, we are concerned with calculating the probability that when a coin is flipped there would be a show of heads three times.

In flipping of a coin, there are only two possible results with equal probability. The probability of both events i.e P(H) and P(T) is equal and that is 1/2

Thus the probability of getting heads three times in a row will be P(HHH) meaning P(H) and another P(H) and another P(H)

When we have and in a probability question, that means we are to multiply the probabilities together.

Hence, P(HHH) = 1/2 * 1/2 * 1/2 = 1/8

7 0
3 years ago
Case 0 has 6 tiles and grows by 4 new tiles each
valina [46]

Answer:

4 and 10

Step-by-step explanation:

4 0
3 years ago
Ahmad wants to paint a rectangular region of a wall with one layer of paint. He has 32 ft of tape to tape around the border of t
Sonbull [250]

Answer:

the answer is definitely 63,000

5 0
3 years ago
Which set of points lie on the given graph?
maks197457 [2]
The answer is B (3, 9), (1,-5), (3,3)
3 0
2 years ago
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