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2 years ago

What value (s) of x will make x2= 16 true?

Mathematics

1 answer:

Nata [24]2 years ago

4 0

Answer:

There are two solutions to this problem.

x=4

x=-4

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

14x22 partial products and solve

miss Akunina [59]

14x22 equals 308. Just multiply. Good work, smarty!

6 0

3 years ago

Can you guys help on simplifying 3 (-4)

Volgvan

Answer:

sure

Step-by-step explanation:

8 0

2 years ago

What is the simplified value of the expression below?<br> 1/3 divided by 2/3

lidiya [134]

Answer:

6/3

Step-by-step explanation:

5 0

2 years ago

Maya is camping at the top of mount armstrong at an elevation of 7832 meters. Juan is scuba diving 160 meters below sea level. T

NNADVOKAT [17]

Answer: 3996 meters

Step-by-step explanation:

Given: Maya is camping at the top of mount armstrong at an elevation of 7832 meters.

Consider the pont of sea level be 0.

Then the height of the point where Mary is = +7832 meters (by using integers)

Juan is scuba diving 160 meters below sea level.

⇒The height of the point where Juan is =-160 meters

The distance between them = $7832-(-160)=7832+160=7992\ meters$

The mid point of the distance= $\frac{1}{2}\times7992=3996\ meters$

Hence, Maya & Juan meet will meet at an elevation of 3996 meters .

6 0

3 years ago