Answer:
Part 1) The x-intercept is the point (-6,0)
Part 2) The y-intercept is the point (0,2)
Step-by-step explanation:
we know that
The x-intercept is the value of x when the value of y is equal to zero
The y-intercept is the value of y when the value of x is equal to zero
we have
Part 1) Find the x-intercept
For y=0
substitute the value of y in the linear equation and solve for x
The x-intercept is the point (-6,0)
Part 2) Find the y-intercept
For x=0
substitute the value of x in the linear equation and solve for y
The y-intercept is the point (0,2)
B is the answer when the parabola is facing down it is negative
Answer:
A
Step-by-step explanation:
This is exponential decay; the height of the ball is decreasing exponentially with each successive drop. It's not going down at a steady rate. If it was, this would be linear. But gravity doesn't work on things that way. If the ball was thrown up into the air, it would be parabolic; if the ball is dropped, the bounces are exponentially dropping in height. The form of this equation is
, or in our case:
, where
a is the initial height of the ball and
b is the decimal amount the bounce decreases each time. For us:
a = 1.5 and
b = .74
Filling in,
If ww want the height of the 6th bounce, n = 6. Filling that into the equation we already wrote for our model:
which of course simplifies to
which simplifies to
So the height of the ball is that product.
A(6) = .33 cm
A is your answer
The ratio is 3:2, purple :green
The bag has 21 purple so to get from 3 to 21 it is multiplied by 7; so we must also multiply the 2 by 7 to keep the ratio balanced.
21:14
