The equations x minus 2 y = 4, 4 x + 5 y = 8, 6 x - 5 y = 15, and x + 2 y = 0 are shown on the graph below. On a coordinate plan
2 answers:
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Answer:
3.61 seconds
Step-by-step explanation:
The bird starts 50 feet in the air, so will come down to a height of 40 feet after 3.61 seconds.
We want to solve h = 40.
40 = -16t^2 +55t +50
16t^2 -55t -10 = 0
t = (55 +√(55^2 -4(16)(-10)))/(2(16)) = (55 + √3665)/32 ≈ 3.61060
The bird will be 40 ft above the ground the first time after about 3.61 seconds.
Answer: (a) The slope of the line is 5 and the y-intercept is (0,10). (b) The rate of change is 5 and the initial amount is 10.
Explanation:
The given equation is,
.... (1)
(a)
The slope intercept form of the a line is,
.... (2)
Where, m is slope and (0,b) is y-intercept.
On comparing (1) and (2) we get,
Therefore, the slope is 5 and the y-intercept is (0,10).
(b)
The rate of change is also known as slope therefore the rate of change is 5.
To find the initial amount put x=0 in the given equation.
Therefore, the initial value is 10.
The rate of change represents the number of baskets of berries the workers picked increased by 5 units per unit of time.
The initial amount shows the number of baskets of berries the workers picked before the workers starts harvesting.
(c)The graph is shown below.
Since x represents the time in hours, therefore x is always greater that or equal to 0.
