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2 years ago

2x - y2 Z-5 Evaluate when x = 2, y = 4 z=3

Mathematics

1 answer:

kolezko [41]2 years ago

5 0

Answer:

Putting the value in x = 2 , y =4 in 2x - 2y we get,

2 × 2 - 4× 2= 4-8 = -4

Putting the value in z = 3 in z - 5 we get,

z - 5 = 3 - 5 = -2

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Janet has 3 sweatshirts, 5 t-shirts, and 2 pairs of pants that can be worn together. If each outfit has a sweatshirt, t-shirt, a

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Answer:

30 outfits

Step-by-step explanation:

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3 years ago

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

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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).

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

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then the sequence solves the recurrence relation.

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3 years ago

4,11,22,37<br> Find an expression, in terms of n, for the nth term of this sequence.

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Step-by-step explanation:

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Step-by-step explanation:

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