Answer: Second option.
Step-by-step explanation:
Given the functions f(x) and g(x):
You need to divide them in order to find 
asked in the exercise. Then:
Now, it is important to remember that, by definition, the division by zero is not defined. Therefore, the denominator of the function cannot be zero.
Let's find the value of "x" for which the denominator of the function would be zero:
1. You need to make the denominator equal to zero:
2. Finally, you must solve for "x":
Therefore, as you can see, the answer is:
, 
17/30 feet
Explanation:
Blue fish: 2/15 feet long
Orange fish: 7/10 feet long
Subtract the orange fish’s length by the blue fish’s:
7/10 - 2/15
Find LCD- 30
Multiply both denominators of each fraction by a number that makes both 30 (whatever that number is multiply that also to both nunerators):
7 • 3 / 10 • 3 = 21/30
2 • 2 / 15 • 2 = 4/30
SUBTRACT:
21/30 - 4/30 = 17/30
FINAL ANSWER: the orange fish is 17/30 feet longer than the blue fish.
BRAINLIEST PLEASE! Have a nice day
Answer:
37.5
Step-by-step explanation:
First you have to realize that these are similar triangles.
You can do a easy cross multiplication with these types of questions by forming an equation with the similar angles.
put the smaller above the decimal and the bigger one below like this.
=
Now cross multiply
8x=300
x=37.5
Answer:
infinite number of solutions
Step-by-step explanation:
Work with the second equation. Subtract 8x from both sides.
- 4y + 8x - 8x = -8x - 12 Collect like terms.
-4y = - 8x - 12 Divide by - 4
-4y/-4 = - 8x/-4 - 12/-4
y = 2x + 3
That is exactly the same line as the first given. There is an infinite number of solutions.
