Answer:
107
Step-by-step explanation:
8b^2 - 6c + 9
Let b=4 and c=5
8*(4)^2 -6(5)+9
Exponents first
8* 16 -30 +9
Then multiply
128 -30+9
Then add and subtract
107
Table:
x y
5 2
6 5
7 8
8 11
<span>Part A: Do the data in this table represent a function? Justify your answer.
Yes, they do. Because for input set is related with a wll defined output, unambiguosly.
Part B: Compare the data in the table with the relation f(x) = 2x + 13. Which relation has a greater value when x = 7?
The relation f(x) = 2x + 13 results in these points
x f(x)
5 23
6 25
7 27
8 29
The relation f(x) = 2x + 13 has a greater value than the relation of the first table when x =7
Part C: Using the relation in Part B, what is the value of x if f(x) = 75?
</span>f(x) = 2x + 13 = 75 => x = [75 - 13] / 2 = 31
if f(x) = 75, x = 31
Answer:
sin∅ = 0.7311
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
sin∅ = opposite/hypotenuse
Step 1: Find our hypotenuse
14² + 15² = c²
c = √421
Step 2: Find sin∅
sin∅ = 15/√421
sin∅ = 0.731055
