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Hunter-Best [27]

3 years ago

9

For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?

2 answers:

vichka [17]3 years ago

8 0

The answer is 11≠4 not sure I understand tho

vagabundo [1.1K]3 years ago

5 0

Answer:

Step-by-step explanation:

For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?

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Mohamed and Li Jing were asked to find an explicit formula for the sequence -5, -25, -125, -625,....

Nuetrik [128]

Answer:

Li Jing's formula i.e. $\boxed{g_n=-5\cdot \:5^{n-1}}$ is right.

Step-by-step explanation:

Considering the sequence

$-5,\:-25,\:-125,\:-625,...$

A geometric sequence has a constant ratio r and is defined by

$g_n=g_0\cdot r^{n-1}$

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{g_{n+1}}{g_n}$

$\frac{-25}{-5}=5,\:\quad \frac{-125}{-25}=5,\:\quad \frac{-625}{-125}=5$

$\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$r=5$

So, the sequence is geometric.

as

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$g_1=-5$

$r=5$

so

$g_n=g_1\cdot r^{n-1}$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$g_n=-5\cdot \:5^{n-1}$

Therefore, Li Jing's formula i.e. $\boxed{g_n=-5\cdot \:5^{n-1}}$ is right.

8 0

4 years ago

How many 4 digits codes can be formed with odd numbers without repetition? 0 is not allowed.

Sliva [168]

9514 1404 393

Answer:

120

Step-by-step explanation:

The number of permutations of 5 things taken 4 at a time is 120.

__

There are 5 odd digits. You want to choose 4 of them, then arrange those 4 in all possible ways. There are 5·4·3·2 = 120 ways to do that.

120 4-digit codes can be formed using odd digits with no repetition.

3 0

3 years ago

Nine square tiles are laid out on a table so that they make a solid pattern. perimeters of the fiques that you can be formed?

Anastasy [175]

Let the side of one square be x.
The maximum perimeter will be when the squares will be lined end to end.
This will be:
x + 9x + 9x + x
= 20x

The perimeter of the figures formed will be less than or equal to 20x.

6 0

3 years ago

A rectangle has a perimeter of 16p centimeters. It has a width of 2p centimeters. Find the length of the rectangle in terms of p

DIA [1.3K]

If the width is 2p then the width of both sides is 4p. Subtract that from the total perimeter and you get 16p-4p= 12p. Divide that by two because there are 2 side lengths. So, one side length is 6p.

6 0

3 years ago

Read 2 more answers

Use the formula to find the area use 3.14 for pie the circle is 15 cm

alexandr402 [8]

Hey there!

$A= \pi r^2$

By using this formula, we plug it in.

Your correct answer would be . . .

$A$ ≈ $\boxed{\boxed{706.86}}$

Hope this helps.
~Jurgen

5 0

3 years ago