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3 years ago

Help on A and B porfavor

Mathematics

1 answer:

wel3 years ago

7 0

Answer: n(B) = 8and AnB = 5

Step-by-step explanation:

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Prove that an = 4^n + 2(-1)^nis the solution to

olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

$=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}$

$=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n$

then the sequence solves the recurrence relation.

4 0

3 years ago

On the graph shown, what is f(-2)

WARRIOR [948]

Answer:

3 because when x=2 the lines are at y 1 and 3, but the y 1 isn't shaded, so the answer is 3

3 0

2 years ago

If measure of angle T= (2x + 85), measure of angle V= (5x + 29), and

netineya [11]

Answers:

Angle T = 79 degrees

Angle V = 14 degrees

=========================================================

Work Shown:

T + V = 93

(2x+85) + (5x+29) = 93

7x+114 = 93

7x = 93-114

7x = -21

x = -21/7

x = -3

This x value is used to find each angle mentioned.

Angle T = 2x+85 = 2(-3)+85 = -6+85 = 79 degrees
Angle V = 5x+29 = 5(-3)+29 = -15+29 = 14 degrees

As a check, T+V = 79+14 = 93 which confirms our answers.

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2 years ago

Theorem 8.9 : The line segment joining the mid-points of two sides of a triangle is parallel to the third side.

Alla [95]

Answer:

The essence of Mathematics lies in its freedom

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3 years ago

Suppose you spin the spinner once. Find the probability.

AleksandrR [38]

1/2 for red, 1/4 for blue, or if you are speaking of both together it is 3/4

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3 years ago

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