If a function is defined as

where both
are continuous functions, then
is also continuous where defined, i.e. where 
So, in your case, this function is continous everywhere, except where

To solve this equation, we can use the formula 
It means that, if the leading terms is 1, then the x coefficient is the opposite of the sum of the roots, and the constant term is the product of the roots.
So, we're looking for two terms whose sum is 7, and whose product is 12. These numbers are easily found to be 3 and 4.
So, this function is continuous for every real number different than 3 or 4.
Step-by-step explanation:
Henry is deeper in the water than Ray because -20 < -15
Hope it helps <3
Price of one adult ticket is $9 and price of one student ticket is also $9.
Step-by-step explanation:
Let,
Adult ticket = x
Student ticket = y
According to given statement;
x+2y=27 Eqn 1
2x+2y=36 Eqn 2
Subtracting Eqn 1 from Eqn 2;

Putting x=9 in Eqn 1;

Dividing both sides by 2;

Price of one adult ticket is $9 and price of one student ticket is also $9.
Keywords: linear equations, subtraction
Learn more about linear equations at:
#LearnwithBrainly
Geometric because the common factor is -3. each time it’s being multiplied by negative 3.
ANSWER/// GEOMETRIC
We will start with our guess of 12, since 12*2 = 24.
Divide 24 by 12; 24/12=2. Average this answer with our guess: (12+2)/2=7. This is our new guess.
24/7=3.428571429. Average this with our guess of 7: (3.428571429+7)/2=5.214285715. This is our new guess.
24/5.214285715=4.602739726. Averaging with our guess: (4.602739726+5.214285715)/2=4.90851272. New guess!
24/4.90851272=4.889464766. Averaging with our guess: (4.889464766+4.90851272)/2=4.898988743. New guess! You can see as we go through our guesses are closer and closer to the same number...)
24/4.898988743=4.898970228. Averaging: (4.898970228+4.898988743)/2=4.898979486. At this point our answer is the same every time down to the hundred-thousandth. Our estimate to the nearest hundredth would be 4.90.