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3 years ago

CAN SOMEONE HELP ME PLSSS-

Mathematics

1 answer:

Lina20 [59]3 years ago

3 0

He will need to save for 40 weeks

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Use induction to prove that 2? ?? for any integer n>0 . Indicate type of induction used.

Hoochie [10]

Answer with explanation:

The given statement is which we have to prove by the principal of Mathematical Induction

$2^{n}>n$

1.→For, n=1

L H S =2

R H S=1

2>1

L H S> R H S

So,the Statement is true for , n=1.

2.⇒Let the statement is true for, n=k.

$2^{k}>k$

---------------------------------------(1)

3⇒Now, we will prove that the mathematical statement is true for, n=k+1.

$\rightarrow 2^{k+1}>k+1\\\\L H S=\rightarrow 2^{k+1}=2^{k}\times 2\\\\\text{Using 1}\\\\2^{k}>k\\\\\text{Multiplying both sides by 2}\\\\2^{k+1}>2k\\\\As, 2 k=k+k,\text{Which will be always greater than }k+1.\\\\\rightarrow 2 k>k+1\\\\\rightarrow2^{k+1}>k+1$

Hence it is true for, n=k+1.

So,we have proved the statement with the help of mathematical Induction, which is

$2^{k}>k$

3 0

3 years ago

6% of x = 600. Find the value of x.

posledela

Answer:

x=36

I hope this is correct and I hope that it helps

7 0

3 years ago

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Please help me and explain this.

Zina [86]

You are supposed to answer where the function, h(x), is decreasing. In other words, where is “y” decreasing.

In this graph, I believe it would be from (-3,4)U(8,infinity). I hope this helps.

8 0

3 years ago

What is the range of the function f(x)= square root of x-8+6

Shtirlitz [24]

Answer:

The range of the given function is [6, + ∞)

Step-by-step explanation:

It is assumed the function is:

$f(x)=\sqrt{x-8} +6$

We know the square root is non-negative, so:

x - 8 ≥ 0 therefore the function gets values

f(x) ≥ 0 + 6
f(x) ≥ 6

We can show this as:

f(x) ∈ [6, + ∞)

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2 years ago

The drama club held a car wash on Saturday and Sunday. They washed a total of 60 cars. If they washed 40% of the cars on Sunday,

slamgirl [31]

your answer should be 5

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3 years ago

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