We have to identify the rational function among the given functions.
Rational function is a function that is the ratio of two polynomials. It is rational because one polynomial is divided by the other polynomial, like a ratio.
1. Consider the first function 
, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
2. Consider the second function 
, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
3. Consider the third function 
, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
4. Consider the fourth function 
, since it is a function that is the ratio of two polynomials (x+2) and (5x). So, it is a rational function.
So, Option D is the correct answer.
X/7 + 9 = 3
a number: x
a number divided by 7: x/7
sum of number divided by 7 and 9: x/7 + 9 (and means plus)
equals 3: x/7 + 9 = 3
Answer:
<h2>Total yards of ribbon bought is 6.993yards of ribbon</h2>
Step-by-step explanation:
Total pieces of ribbon James bought for his craft project = 10pieces. If each pieces of ribbon were 2.1feet long, the total number of feet for 10ribbons is expressed as;
Converting 21 feets to yards;
1 feet = 0.333yard
21feets = x
x = 
Total yards of ribbon bought is 6.993yards of ribbon
<u><em>28.1 feet</em></u>
<u><em></em></u>
<em><u>explaination</u></em>
<u><em>\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}</em></u>
<u><em>cosU= </em></u>
<u><em>hypotenuse</em></u>
<u><em>adjacent</em></u>
<u><em> </em></u>
<u><em> = </em></u>
<u><em>x</em></u>
<u><em>9.6</em></u>
<u><em> </em></u>
<u><em> </em></u>
<u><em>\cos 70=\frac{9.6}{x}</em></u>
<u><em>cos70= </em></u>
<u><em>x</em></u>
<u><em>9.6</em></u>
<u><em> </em></u>
<u><em> </em></u>
<u><em>x\cos 70=9.6</em></u>
<u><em>xcos70=9.6</em></u>
<u><em>Cross multiply.</em></u>
<u><em>\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}</em></u>
<u><em>cos70</em></u>
<u><em>xcos70</em></u>
<u><em> </em></u>
<u><em> = </em></u>
<u><em>cos70</em></u>
<u><em>9.6</em></u>
<u><em> </em></u>
<u><em> </em></u>
<u><em>Divide each side by cos 70.</em></u>
<u><em>x=\frac{9.6}{\cos 70}=28.0685\approx 28.1\text{ feet}</em></u>
<u><em>x= </em></u>
<u><em>cos70</em></u>
<u><em>9.6</em></u>
<u><em> </em></u>
<u><em> =28.0685≈28.1 feet</em></u>
<u><em>Type into calculator and roundto the nearest tenth of a foot.</em></u>
The vertex is (-4,-3)
The axis of symmetry is x=-4
and the transformations are:
