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3 years ago

Which number is greater? A. 3.33 x 10^7 B. 2.34 x 10^5

Mathematics

2 answers:

Zina [86]3 years ago

5 0

Answer:

3.33times 10^7 because when it is possible to substract 2.24times10^5 from it

enyata [817]3 years ago

3 0

Answer:

Answer: A) 3.33 x 10⁷

Step-by-step explanation:

A is the correct answer because you're adding 7 to the left. Whereas for B, it's only 5 times, and the number is less than 3.33.

3.33 ⇒ 33.3 ⇒ 333 ⇒ 3330 ⇒ 33300 ⇒ 333000 ⇒ 3330000 ⇒ 33300000

2.34 ⇒ 23.4 ⇒ 234 ⇒ 2340 ⇒ 23400 ⇒ 234000

I hope this helps!

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4 years ago

A miner has 8 diamonds. He has 48 workers. Explain how each worker can get a piece of the diamonds.

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Answer:

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Step-by-step explanation:

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3 years ago

For some constants a and b let \[f(x) = \left\{ \begin{array}{cl} 9 - 2x & \text{if } x \le 3, \\ ax + b & \text{if } x

Viktor [21]

Answer:

The value of a+b is 4.

Step-by-step explanation:

The given function is

$f(x) = \left\{ \begin{array}{cl} 9 - 2x & \text{if } x \le 3, \\ ax + b & \text{if } x > 3. \end{array} \right.$

It is given that for some constants a and b the function f has the property that f(f(x))=x for all x.

For x≤3,

$f(x)=9-2x$

For x>3,

$f(x)=ax+b$

At x=0,

$f(0)=9-2(0)=9$

$f(f(0))=f(9)\Rightarrow a(9)+b=9a+b$

Using property f(f(x))=x,

$f(f(0))=0$

$9a+b=0$ .... (1)

At x=1,

$f(1)=9-2(1)=7$

$f(f(1))=f(7)\Rightarrow a(7)+b=7a+b$

Using property f(f(x))=x,

$f(f(1))=1$

$7a+b=1$ .... (2)

Subtract equation (2) from equation (1).

$9a+b-(7a+b)=0-1$

$2a=-1$

Divide both sides by 2.

$a=-\frac{1}{2}$

Substitute this value in equation (1).

$9(-\frac{1}{2})+b=0$

$b=\frac{9}{2}$

The value of a is $-\frac{1}{2}$ and value of b is $\frac{9}{2}$ . The value of a+b is

$a+b=-\frac{1}{2}+\frac{9}{2}$

$a+b=4$

Therefore the value of a+b is 4.

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