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kherson [118]
3 years ago
5

Y = 9 - 1 What is this ?

Mathematics
1 answer:
lesya692 [45]3 years ago
7 0
Y=8

your teacher is introducing algebra
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Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.
Makovka662 [10]

Given:

The geometric sequence is:

n              a_n

1                        -4

2                      20

3                     -100

To find:

The explicit formula and list any restrictions to the domain.

Solution:

The explicit formula of a geometric sequence is:

a_n=ar^{n-1}            ...(i)

Where, a is the first term, r is the common ratio and n\geq 1.

In the given sequence the first term is -4 and the second term is 20, so the common ratio is:

r=\dfrac{a_2}{a_1}

r=\dfrac{20}{-4}

r=-5

Putting a=-4,r=-5 in (i), we get

a_n=-4(-5)^{n-1} where n\geq 1

Therefore, the correct option is B.

5 0
3 years ago
PLEASE HELP... VERY URGENT... WILL GIVE BRAINLIEST!!!
lakkis [162]

Answer:

Step-by-step explanation:

a) Pythagorean theorem,

altitude² + base² = hypotenuse²

h²  + (w² - 1)² = (w² + 1)²

                    h² = (w² + 1)² - (w² - 1)²    

{Compare with (a + b)² - (a -b)² = 4ab where a =w² & b = 1}

                   h² = 4*w²*1

                   h² = 4w²

                   h=\sqrt{4w^{2}} = \sqrt{2*2*w*w} \\\\\\h = 2w

b) Area of triangle = \frac{1}{2}b*h

                               =\dfrac{1}{2}*(w^{2}-1) *2w\\\\= (w^{2}-1)*w = w^{2}*w - 1*w\\\\=w^{3}-w

c) w =2

Area of triangle = 3w = 3*2 = 6

7 0
2 years ago
Using the double number line shown, for the equation 5x+4=14, what is the value of x?
Alex777 [14]

Correct option is:

B. 2

<h2>Explanation:</h2>

From the double number line shown we can set:

(1) \ 0x=0 \\ \\ (2) \  x=? \\ \\ (3) \ 5x=10 \\ \\ (4) \ 5x+4=14

So we can solve this problem by using either equation (3) or (4). So, choosing equation (3):

5x=10 \\ \\ \\ Divide \ both \ sides \ by \ 5: \\ \\ x=\frac{10}{5} \\ \\ \boxed{x=2}

<h2>Learn more:</h2>

Solving equations: brainly.com/question/7747308

#LearnWithBrainly

3 0
3 years ago
Solve pls brainliest
MatroZZZ [7]

Answer:

18 square feet

Step-by-step explanation:

hope this helps :)

5 0
2 years ago
Read 2 more answers
If you flipped three pennies, what would be the odds that they all came out the same?
lisabon 2012 [21]
<span>im pretty sure it would be 1 in 3 or 1 in 4</span>
7 0
3 years ago
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