Answer:
(2, 8)
Step-by-step explanation:
A hole occurs when the denominator is equal to 0. In this case, the denominator equals zero when x = 2.
Next, we must find the value of y by factoring the numerator and simplifying:
Then plug in 2 for x:
2 + 6 = 8.
Therefore, there is a hole at (2, 8)
Answer:
0.218
Step-by-step explanation:
X = 30 and <TVX is 80 degrees
Answer:
79 sociology textbooks and 138 biology textbooks
Step-by-step explanation:
Create a system of equations, where b is the number of biology books and s is the number of sociology books:
b + s = 217
b = s + 59
Solve by substitution by substituting s + 59 for b into the first equation:
b + s = 217
s + 59 + s = 217
Add like terms and solve for s:
2s = 158
s = 79
So, there were 79 sociology books. To find the number of biology books, substitute 79 in for s into the equation b = s + 59
b = s + 59
b = 79 + 59
b = 138
So, 79 sociology textbooks and 138 biology textbooks were sold.
The equation of the new function is:
y = 4/5x + 7