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Digiron [165]
2 years ago
8

ula1" title="4 \times {8}^{x + 1} = {2}^{2x} " alt="4 \times {8}^{x + 1} = {2}^{2x} " align="absmiddle" class="latex-formula">
Calculate the value of x​
Mathematics
2 answers:
Olin [163]2 years ago
4 0

Answer:

- 2

Step-by-step explanation:

2^2×2^3(x+1)=2^2x

same base cancel,you will get

2+3x+3=2x

take same variable then - or + you will get

x =  - 2

ad-work [718]2 years ago
3 0

Answer:

x=-5

Step-by-step explanation:

  1. 2^2×2^3(x+1)=2^2x
  2. since they have the same Base we equat the exponents
  3. 2+3(x+1)=2x
  4. 2+3x+3=2x group like terms
  5. 3x-2x=-3-2
  6. x=-5

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What does a irrational number look like
julia-pushkina [17]

A irrational number is a number that can't be expressed as a ratio of two whole numbers. That's it.

For examples (in increasing order of difficulty)

1 is a rational number because it is 1/1

0.75 is a rational number because it is equal to 3/4

2.333... (infinite number of digits, all equal to three) is rational because it is equal to 7/3.

sqrt(2) is not a rational number. This is not completely trivial to show but there are some relatively simple proofs of this fact. It's been known since the greek.

pi is irrational. This is much more complicated and is a result from 19th century.

As you see, there is absolutely no mention of the digits in the definition or in the proofs I presented.

Now the result that you probably hear about and wanted to remember (slightly incorrectly) is that a number is rational if and only if its decimal expansion is eventually periodic. What does it mean ?

Take, 5/700 and write it in decimal expansion. It is 0.0057142857142857.. As you can see the pattern "571428" is repeating in the the digits. That's what it means to have an eventually periodic decimal expansion. The length of the pattern can be anything, but as long as there is a repeating pattern, the number is rational and vice versa.

As a consequence, sqrt(2) does not have a periodic decimal expansion. So it has an infinite number of digits but moreover, the digits do not form any easy repeating pattern.

5 0
2 years ago
At a chocolate store, 70% of the items are dark chocolate and 30% are milk chocolate. Also 20% of the items have nuts and 80% ar
Delvig [45]

Answer:

A. 13%

Step-by-step explanation:

let's suppose there's 1000 bars of chocolate in general

70 % dark = 700 dark choco bars

30 % milk = 300 milk choco bars

20 % have nuts = 200 bars have nuts

80 % don't have nuts = 800 bars don't have nuts

if 90 % of dark chocolate bars don't have nuts, that means 630 dark chocolate bars don't have nuts, but 70 have nuts

200 bars in general have nuts, if only 70 dark chocolate bars have nuts,

200 - 70 = 130

130 = 13%

7 0
3 years ago
Why did the student eat his homework? Answer to 5.1 puzzle time big math blue The teacher told him it was a piece of cake
wel

Answer:

Not quite sure what the purpose of this question is, but... How do you get straight A's?

Use a ruler

*insert rimshot*

Step-by-step explanation:

7 0
3 years ago
Which one is greater 3/8 or 2/6
Katyanochek1 [597]

Answer: 3/8

Step-by-step explanation:

3 0
3 years ago
Find the unit price of each of the following items. Round your answer to the nearest tenth.
goldenfox [79]

Answer:

$0.0756 for 18 oz

$0.0634 for 32 oz

Step-by-step explanation:

4 0
2 years ago
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