Hiii please help thanks
2 answers:
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Answer:
<em>Interval notation: [0, 2.236]</em>
<em>Set Builder notation: </em>
Step-by-step explanation:
Given that:
Equation of height of the ball dropped from a height of 10 foot, as:
Where is the time since the ball was dropped.
To find:
The domain of the function in Interval and set builder notation.
Solution:
<em>Domain of a function </em>is defined as the set of valid input values that can be given to the function for which the function is defined.
Here, input is time.
We can not have negative values for time.
Therefore, starting value for time will be <em>0 seconds</em>.
And the value of height can not be lesser than that of 0 ft.
Maximum value for time can be 2.236 seconds.
Therefore the domain is:
<em>Interval notation: [0, 2.236]</em>
<em>Set Builder notation: </em>
Answer:
The height of the vase is
Step-by-step explanation:
we know that
The volume of a cone is equal to
we have
substitute and solve for h
1) Finding the zeros of this function f(x) =x² +3x -18
f(x) = x²+3x-18 <em>Factoring this equation, and rewriting it</em>
<em />
<em>Which two numbers whose sum is equal to 3 and their product is equal to 18?</em>
<em>6 -3 = 3 and 6 *-3 = -18</em>
<em />
<em>So we can rewrite as (x +6) (x-3)</em>
<em> </em>
(x+6)(x-3)=0 <em>Applying the Zero product rule, to find the roots</em>
x+6=0,
x=-6
x-3=0,
x=3
S={3,-6}
2) Setting a table, plugging in the values of x into the factored form: (x-6)(x-3)
x | y |
1 | -14 (1 +6)(1-3) =-14
2 | -8 (2 +6)(2-3) =-8
3 | 0
4 | 10
-5 | -8
-6 | 0
3) Plotting the function:
Answer:
The possible numbers that Kelley might have scored are:
1, 2, 3, 4, 5, 6, 7 and 8
Step-by-step explanation:
Please kindly see the attached file for more explanation
