Answer:
The number of students that bring their lunches is 12
Step-by-step explanation:
Let
x -----> the number of students that bring their lunches
y -----> the total number of students in a class
we know that
The number of students that bring their lunches divided by the total number of students in a class must be equal to 3/8
-----> equation A
-----> equation B
substitute the value of y in equation A and solve for x
therefore
The number of students that bring their lunches is 12
The top number is rise (up/down) and the bottom number is the run (left/right). If it's a negative, then either one of the numbers must be negative. Ex: -1/3 or 1/-3. In other words, it can be rewritten as - 1/3
Answer:g(x) = (x+3)/(x2-4)
The domain refers to all of the x values that the function can take on. In a rational expression like the one above, we have to be careful that the denominator is never 0, since division by 0 is undefined. We can factor the denominator of g(x) as follows:
g(x) = (x+3)/((x+2)(x-2)
The denominator will be zero when x = 2 or -2. Otherwise, g(x) is defined on all other values of x. So the domain of g(x) is "x = all x not equal to -2 or 2". In interval notation, the domain is:
(-∞,-2)U(-2,2)U(2,+∞)
On a number line, draw it as follows:
-∞ <======o=====o=======> +∞
-2 2
Step-by-step explanation:
If this is a True or False question, then this is True. But sometimes they CAN quit by themselves, they might just be more prone to need help.
Answer:
f(x) = (x+4)^2 / 2
Step-by-step explanation:
To make a horizontal shift to the left 4 units, we just need to substitute the value of x for 'x+4', then we will have:
f(x) = (x+4)^2
Then, to make a vertical shrink of 1/2, we just need to multiply the function (the new function after being shifted horizontally to the left) by 1/2, then we will have:
f(x) = (x+4)^2 / 2