Step 1:
a) Write the quadratic model
a = -15.64
b = -1.24
c = 5.23
b) t = 0.30
c) t = 0.52 seconds
d) 0.30 is more likely to be relaible.
e)
Determine the total number of roots of each polynomial function using the factored form. f (x) = (x + 5)3(x - 9)(x + 1)
2 answers:
Answer:
Number of roots is 5.
Step-by-step explanation:
Since, the roots of a function f(x) is obtained when f(x) = 0,
Given expression,
For finding the roots,
f(x) = 0,
By the ZERO PRODUCT property,
x + 5 = 0 or x + 5 = 0 or x + 5 = 0 or x - 9 = 0 or x + 1 =0,
⇒ x = -5, -5, -5, 9 or -1
Hence, the number of roots = 5.
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Answer:
As a fraction:
As a colon, 363:2
By using the word to; we have: 363 to 2
Step-by-step explanation:
A ratio is a comparison of two quantities. We can write a ratio as a fraction, using the word “to,” or using a colon.
A rate is a ratio that compares two different units, such as distance and time, or a ratio that compares two different things measured with the same unit, such as cups of water and litres of petrol.
We can use a ratio to compare the number of days regardless of employing any professional sports events each year with the total number of days in a year.
The ratio with which we can write, that compares days with games in a year with two days without them can be written in three ways.
Suppose there are 365 days in a year and it appears that two days in that year exist without a game.
i.e.
365 - 2(days without game) = 363 days with a game
Then:
As a fraction:
As a colon, 363:2
By using the word to; we have: 363 to 2