Answer:
1297.37 feet.
Step-by-step explanation:
Given:
The carousel at a local theme park has a diameter of 32 feet.
Each ride last three minutes and the speed of the carousel is 4.3 revolutions per minute.
<u>Question asked:</u>
What is the maximum distance riders travel in one full ride? Round to the nearest hundredth.
<u>Solution:</u>
First of all we will find the radius of the carousel:-
Diameter = 32 feet
Radius, r = 
Now, we will find distance covered by the carousel in one ride that means its circumference;
In 1 minute, number of revolution taken by carousel = 4.3
<u>As each ride last for 3 minutes:-</u>
In 3 minutes, number of revolution taken by carousel = 3 
4.3 = 12.9
In 1 revolution, distance covered by carousel = 100.571 feet
In 12.9 revolution, distance covered by carousel = 100.571 12.9
= 1297.365 feet
Thus, the maximum distance riders travel in one full ride is 1297.37 feet.
Answer:
Step-by-step explanation:
Consider the quadratic equation, we have
Dividing the equation by a, we get
Put 
on the other side,
Add 
on both the sides,
completing the square, we have
Now, solving for x,
Multiply right side by 
,
which is the required quadratic formula.
<h2>1.</h2><h3>1)</h3>
Put the given values of p and q in the factored form equation.
... f(x) = (x -(-1))(x -(-2)) . . . . p and q values put in
... f(x) = (x +1)(x +2) . . . . . . .simplified
<h3>2)</h3>
Multiplying the factors, we have
... f(x) = x(x +2) + 1(x +2) = x² +2x +1x +2
... f(x) = x² +3x +2
<h2>2.</h2>
We want to factor x³ -x² -6x. We notice first of all that x is a factor of all terms. Thus we have
... = x(x² -x -6)
Now, we're looking for factors of -6 that add up to -1. Those are -3 and 2. Thus the factorization is ...
... = x(x -3)(x +2)
<h2>3.</h2>
We want a description of the structure and an equivalent expression for
... 64x⁹ -216
We note that 64, 216, and x⁹ are all cubes, so this expression is ...
... the difference of cubes.
It can be rewritten to
... = 8((2x³)³ -3³)
and so can be factored as
... = 8(2x³ -3)(4x⁶ +6x³ +9)
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