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2 years ago

Solve by completing square when a=1 and identify if perfect square trinomial

Mathematics

1 answer:

adelina 88 [10]2 years ago

5 0

Answer:

Step-by-step explanation:

( x² - 2 × 5 × x + 25 ) - 25 + 100 = ( x² - 5 )² + 75

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The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).

lesantik [10]

Answer:

(a).

$S_{n} = \frac{n}{2} (4n + 20) \\ \\S _{n - 1} = \frac{(n - 1)}{2} (4n - 4 + 20) \\ \\ S _{n - 1} = \frac{(n - 1)}{2} (4n + 16) \\ \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2} \\ \\ { \boxed{S _{n - 1} = {2 {n}^{2} + 6n - 8}}} \\$

(b).

from general equation:

$S _{n - 1} = \frac{(n - 1)}{2} (4n + 16)$

first term is 4n

common difference:

$16 = \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d = \frac{16}{n - 2}$

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3 years ago

Who of the following functions is graphed

erastovalidia [21]

The following function would be a or d

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3 years ago

Which function represents a quantity growing exponentially?

Lelechka [254]

Answer: c

Step-by-step explanation:

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3 years ago

An expert shot bits the target 95% of the time. What are the probabilities that he will miss the target: at least one time durin

Mkey [24]

If he hits the target 95% of the time, then you could say that he has a probability of 0.95, or 95% of hitting the target. Let p = the probability of hitting the target or p = 0.95. So you are interested that he misses the target at least once - this could be thought of as not getting a perfect score. So to get a perfect score, it is 0.95 for each target -- 0.95^15 for 15 targets is 0.464. Thus to miss at least one target he needs to NOT have a perfect score -- 1 - 0.464 = 0.536, or 53.6% of happening. Enjoy

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3 years ago

Vernon earns a 5 percent commission for all the drills he sells

dybincka [34]

Answer: 37500

Step-by-step explanation:

100$ dollars commission is 500 so then you do 500 times 75.

Hoped this helped

8 0

3 years ago

Read 2 more answers