The problem is stating that Mandy found the ratio between input and output of many points on the graph, which are displayed by the fractions. Mandy's conclusion was that they were not equivalent, meaning they were different and that is why the function is not proportional. Mandy's conclusion is wrong, the relation is proportional. If we take all the functions we have:
Where the input is the denominator and the output is the numerator we will have a ratio of "5". Mandy's mistake was to invert the last fraction, she inserted the output in the denominator, this is why she said the were different.
5(2)^3-7/ 4(2)^2 = 5(8) - 7 / 4(4) = 40-7/ 16 = 33/16
1. Substitute 2 in to the places where x are.
2.solve the square root first then multiply whats outside the square root with the numbers. (2)^3 = 8 and (2)^2 = 4, now multply 5 x 8 = 40 and multiply 4 x 4= 16
3. subtract 7 from 40 to get 33.
4. Check if it can be further simplified, this cant so the answer is 33/16
Using complementary angles, it is found that F = 47º.
<h3>What are complementary angles?</h3>
Two angles are complementary if the sum of their measures is of 90º.
If two angles A and B are complementary, the sine of one angle is the cosine of the other.
In this problem, 43º and 47º are complementary, hence:
sin 43º = cos 47º, which means that F = 47º.
More can be learned about complementary angles at brainly.com/question/11161460