The perimeter of the unknown length
1 answer:
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We have been given two ratios and we are supposed to compare our ratios whether they are proportional or not.
1. We will reduce our fractions to compare our ratios. Let us simplify each of our given fractions.
Let us divide numerator and denominator with greatest common factor. We can see that 21 is GCF of our ratio.
Now we will simplify our second ratio.
GCF of our fraction is 32. Upon dividing our fraction by 32 we will get,
We can see that our both ratios are similar.
2. Now we will find decimal values of our fractions.
We can see that .
Therefore, we can say that our ratios are proportional.
A function assigns the values. The correct option is D.
<h3>What is a Function?</h3>A function assigns the value of each element of one set to the other specific element of another set.
The complete question is:
Which pair of statements describe the end behavior of the graph of the function f(x) = x³ + 2x² − 5x − 6?
A.) As x approaches negative infinity, f(x) approaches infinity. As x approaches infinity, f(x) approaches infinity.
B.) As x approaches negative infinity, f(x) approaches infinity. As x approaches infinity, f(x) approaches negative infinity.
C.) As x approaches negative infinity, f(x) approaches negative infinity. As x approaches infinity, f(x) approaches negative infinity.
D.) As x approaches negative infinity, f(x) approaches negative infinity. As x approaches infinity, f(x) approaches infinity.
If we draw the graph of the given function f(x) = x³ + 2x² − 5x − 6, then it can be observed that as x approaches -∞, f(x) approaches -∞. As x approaches ∞, f(x) approaches infinity.
Hence, the correct option is D.
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