The complete version of question:
<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution of this problem.</em>
Answer:
![5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}](https://tex.z-dn.net/?f=5%5Cleft%28x%2B27%5Cright%29%5Cge%20%5C%3A6%5Cleft%28x%2B26%5Cright%29%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%5Cle%20%5C%3A-21%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%2C%5C%3A-21%5D%5Cend%7Bbmatrix%7D)
Step-by-step explanation:
As the description of the statement is:
'<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26'.</em>
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As
- <em>Five times the sum of a number and 27 </em>is written as:
- <em>greater than or equal </em>is written as:
- <em>six times the sum of that number and 26' </em>is written as: 6(x + 26)
so lets combine the whole statement:
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solving
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Therefore,
The square root of 225 is 15. I hope that helped!
Answer:
<u>Domain:</u>
The domain of this can be any value between 0 to 565 miles per hour
<u>Range:</u>
The reasonable range can be the distance traveled which can be from 0 to 13,560 miles (no plane travel is longer than 24 hours, we assume).
Step-by-step explanation:
Domain is the input, set of x values for the function.
Range is the output, set of y values for the function.
This isn't a function essentially, but it is given that an Airplane travels at 565 miles per hour.
<em>We can say that the domain will be the speed of the airplane and the range would be the distance it travels.</em>
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<u>Domain:</u>
The domain of this can be any value between 0 to 565 miles per hour
<u>Range:</u>
The reasonable range can be the distance traveled which can be from 0 to (565*24=13,560 miles) 13,560 miles (no plane travel is longer than 24 hours, we assume).
Answer:
It should be Volume of water
We are given with the function <span>(sinx)/(1 + sinx). To simplify the equation, we multiply the denominator with its conjugate. Hence the expression becomes (</span>sinx)(1-sin x )/(1 + <span>sinx)(1-sin x). Then we convert the expression into </span>(<span>sinx)(1-sin x )/ cos^2 x. Using trigonometric functions, we can then simplify the expression.</span>
