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3 years ago

8x = 2y + 5 3x = y + 7 Solve the system of equations by substitution.

1 answer:

8 0

3x = y + 7
 y =3x-7

8x = 2y + 5
8x = 2(3x-7) + 5
8x=6x-14+5
8x-6x=-9
2x=-9
x=-4.5

8x = 2y + 5
8(4.5)=2y+5
36=2y+5
2y=31
y=15.5

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Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?

OlgaM077 [116]

Answer:

$a_n = 16(\frac{1}{4})^{n - 1}$

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = $\frac{1}{16}$

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = $ar^{n - 1}$ , where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

$\frac{1}{16} = a*\frac{1}{4}^{5 - 1}$

$\frac{1}{16} = a*\frac{1}{4}^{4}$

$\frac{1}{16} = a*\frac{1}{256}$

$\frac{1}{16} = \frac{a}{256}$

Cross multiply

$1*256 = a*16$

Divide both sides by 16

$\frac{256}{16} = \frac{16a}{16}$

$16 = a$

$a = 16$

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = $ar^{n - 1}$

nth term = $16*\frac{1}{4}^{n - 1}$

$a_n = 16(\frac{1}{4})^{n - 1}$

3 0

2 years ago

School is Tomorrow I need help

german

Answer:

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Step-by-step explanation:

6 0

3 years ago

Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8 1. Isolate x in the first equation: 2. Substitute the v

klemol [59]

X + 3y = 7
x = -3y + 7

2x + 4y = 8
2(-3y + 7) + 4y = 8
-6y + 14 + 4y = 8
-2y = 8 - 14
-2y = - 6
y = -6/-2
y = 3

x + 3y = 7
x + 3(3) = 7
x + 9 = 7
x = 7 - 9
x = -2

solution is (-2,3)

6 0

2 years ago

Read 2 more answers

Find the value of y/3 + 11 = y/2 - 3

stira [4]

Answer:

y= 84

Step-by-step explanation:

i used another site to answer this

5 0

3 years ago

Root of 6x^2 -8 = -8x

Svetlanka [38]

Answer:

If your question is set up like this $\sqrt{6x^2-8}=-8x$ then your answer is No solution.

If your question is set up like this $\sqrt{6x^2}-8=-8x$ then your answer is $x=\frac{4(8-\sqrt{6}) }{29}$ or x = 0.765

Hope this helps!

8 0

3 years ago