Write a expression that equals 24. Include an exponent
2 answers:
Keywords:
<em>Equivalent expression, exponents, decomposition, factors </em>
For this case we must find an expression equivalent to 24, including exponents. To do this, we decompose factor 24. By definition, factorial decomposition consists of writing a number as the multiplication of other numbers.
Then:
We have the "2" is written three times, then:
Answer:
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Answer:
b =
Step-by-step explanation:
Given
y = b + 10
Multiply through by 8 to clear the fraction
8y = 5b + 80 ( subtract 80 from both sides )
8y - 80 = 5b ( divide both sides by 5 )
= b
Answer:
The correct answer is 52 squats.
Step-by-step explanation:
An exercise routine requires 24 crunches for every 16 squats.
Therefore the routine would require 1 crunch for every squats.
And by the use of unitary method, the routine would require 78 crunches for every × 78 squats = 52 squats.
Thus for every 78 crunches attempted, the exercise routine would requires 52 squats to be done.
9514 1404 393
Answer:
- vertical shift: 7 (up)
- horizontal shift: 2 (right)
- vertical asymptote: x=2
- domain: x > 2
- range: all real numbers
Step-by-step explanation:
For any function f(x), the transformation f(x -h) +k represents a horizontal shift of h units to the right and k units upward.
Here, the parent function is log₂(x) and the transformation to log₂(x -2) +7 represents translation 2 units right and 7 units upward.
The parent function has a vertical asymptote at x=0, so the shifted function will have a vertical asymptote at x-2=0, or x = 2.
The parent function has a domain of x > 0, so the shifted function will have a domain of x-2 > 0, or x > 2.
The parent function has a range of "all real numbers." Shifting the function vertically does not change that range. The range of the shifted function is still "all real numbers."
The graph is shown below. The vertical asymptote is the dashed orange line.
_____
The "work" is in matching the pattern f(x -h) +k to the function log₂(x -2) +7.
