Step-by-step explanation:
2x/3 - x/3 = x/3
they both have the same denominators (number at the bottom of the fraction) so all you have to do it subtract the numerators (top of the fraction) together. 2x-x =x, that's why it's x on the numerator for the answer
hope this helps
Answer:
2x - 3y = -14
Step-by-step explanation:
Answer:
f(x) = -5x + 4
Domain refers to the values of x that would result to a defined value of y. Since the given f(x) is a linear function, then all the values of x would give a corresponding value of y. So, the domain of f(x)=-5x+4 are all real numbers.
Or, plot the given equation to check.
The graph of f(x)=-5x+4 is shown below.
Since the graph is a straight line and can be extended continuously on both ends, this indicates that every values of x, there is a corresponding value of y.
Hence, the domain of the given function are all real numbers.Step-by-step explanation:
I think it is 22.5, since molly has 75% of the packs
Exercise 1:
exponential decay:
The function is given by:
y = A (b) ^ ((1/3) * t)
Where,
A = 600
We look for b:
(480/600) * (100) = 80%
b = 0.8
Substituting:
y = 600 * (0.8) ^ ((1/3) * t)
We check for t = 6
y = 600 * (0.8) ^ ((1/3) * 6)
y = 384
Answer:
exponential decay:
y = 600 * (0.8) ^ ((1/3) * t)
Exercise 2:
linear:
The function is given by:
y = ax + b
Where,
a = -60 / 2 = -30
b = 400
Substituting we have:
y = -30 * x + 400
We check for x = 4
y = -30 * 4 + 400
y = 280
Answer:
linear:
y = -30 * x + 400
Exercise 3:
exponential growth:
The function is given by:
y = A (b) ^ ((1/3) * t)
Where,
A = 512
We look for b:
(768/512) * (100) = 150%
b = 1.5
Substituting:
y = 512 * (1.5) ^ ((1/2) * t)
We check for t = 4
y = 512 * (1.5) ^ ((1/2) * 4)
y = 1152
Answer:
exponential growth:
y = 512 * (1.5) ^ ((1/2) * t)
