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2 years ago

1. Complete the square to form a perfect square trinomial. 8x + x² + __

Mathematics

1 answer:

Usimov [2.4K]2 years ago

4 0

1) x^2 + 8x + 16 = (x+4)^2

Answer: C. 16

2) x^2 + 4x + 4 = (x+2)^2

Answer: B. 4

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Please help very urgent

Alik [6]

Answer:

32, 16, 8, 4, 2, 1

Explanation:

The geometric mean can be represented by $\sqrt[n]{x_{1} • x_{2} • x_{3} • .. x_{n}}$ .

Which is the mean of the product of n numbers, used to find the average of a geometric progression.

Don't get confused by geometric mean, it is only asking you about the next numbers in the geometric sequence given the first and sixth term.

The explicit rule for a geometric sequence can be modeled by:

$a_{n} = a_{1} • r^{n-1}$

Where $a_{n}$ is the nth term, $a_{1}$ is the first term in the sequence, n is the term number, and r is the common ratio.

Since we already know the first term, $a_{1}$ will simply be 32.

Since we know it's geometric, there will be an exponential relationship, which means that we will use the geometric mean to find the common ratio.

There are 6 total terms, r is raised to the n – 1 so 6 – 1 = 5, and that will be the degree of this root.

$\sqrt[5]{\frac{a_{6}}{a_{1}}}$ =

$\sqrt[5]{\frac{1}{32}}$ =

$\frac{1}{2}$ .

Therefore: $r = \frac{1}{2}$ .

Using all the information we have, we can find the explicit rule:

$a_{n} = a_{1} • r^{n-1}$

$a_{1}$ = 32
$r = \frac{1}{2}$

$a_{n} = a_{1} • r^{n-1}$ →

$\boxed{a_{n} = 32 • (\frac{1}{2})^{n-1}}$

________________________________

We can test that this works by substituting the number location of the term you want to find.

For instance:

$a_{1} = 32 • (\frac{1}{2})^{1-1}$

$a_{1} = 32 • (\frac{1}{2})^{0}$

$a_{1} = 32 • 1$

$a_{1} = 32$

$a_{6} = 32 • (\frac{1}{2})^{6-1}$

$a_{6} = 32 • (\frac{1}{2})^{5}$

$a_{6} = 32 • \frac{1}{32}$

$a_{6} = 1$

3 0

2 years ago

Read 2 more answers

Amari has a previous balance of $691 on a credit card with a 17.1% APR compounded monthly. If he made a payment of $95 this mont

Marrrta [24]

691-95=596
596 X .171=101.9
101.1 +596 = 697.9 new balance

5 0

2 years ago

Read 2 more answers

Please help me with this I will give brainleist:):)

lara31 [8.8K]

Y intercept is +1
Slope is 1/2
Y= 1/2x + 1

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2 years ago

There are 15 pieces of fruit in a bowl and six of them are apples. What percentage of the pieces of fruit in the Bowl are apples

aleksklad [387]

Answer:

40%

Step-by-step explanation:

amount of apples = 6

total amount of fruits = 15

percentage of apples

= 6/15 x 100%

= 40%

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2 years ago

What happens when a zero is added to the far right of a decimal number?

Westkost [7]

Adding a zero on the right changes the place value of all the other digits

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3 years ago