f(x)=40
x=8
so if x=2 it would be 40/8 which is 5
Answer:
The equation is p = (8/3) t + 24
In 2020, we will have about 48 horses.
Step-by-step explanation:
In 3 years the family increased by 32 - 24 = 8.
So the constant of proportionality = 8/3.
The required equation is p = (8/3)tx + 24
where p = the population and t is the number of years after 2011.
So in 2020 we can predict that in 2020 the number of horses
= (8/3) * 9 + 24
= 72/3 + 24
= 24 + 24
= 48.
Answer:
Step-by-step explanation:
h = −16(x − 2)² + 72
= −16((x − 2)(x − 2)) + 72 expand the square (x - 2)² = (x - 2)(x - x)
= -16 ((x)(x) + (x)(-2) + (-2)(x) + (-2)(-2)) + 72
= -16 (x² + (-2x) + (-2x) + (4) ) + 72
= -16 (x² + (-4x) + (4) ) + 72
= -16 (x² - 4x + 4 ) + 72
= (-16)(x²) + (-16)(-4x) +(-16)(4) + 72
= -16x² + 64x - 64 + 72
= -16x² + 64x + 8 My guess is D ; 72 ???
I have no clue what the ; 72 means after the given answer. It must be a standard form thing I never learned.
Hello!
The domain of the function are the x-values that make the function true.
Since the graph has open circles and filled in circles, the open circles make the function false (written as <) , and the filled in circles make it true (written as ≤).
From the graph, the x value -3, and 2 are open circles. While the value -0.5 are filled in circles. Also, from the interval (-0.5, 2), there is gap, so it is part of the domain.
Therefore, the domain of the function is: {x | -3 < x ≤ -0.5} ∪ {x | 2 < x < ∞}, which is the third choice.
