Answer:
t = 0 and t = 2
Step-by-step explanation:
It is at rest when the velocity = 0
The velocity is the 1st derivative
So, x'(t) = 3t^2 - 6t = 0
3t(t - 2) = 0
t = 0 and t = 2
10 different groups can ski.
This is a combination of 5 items taken 3 at a time:
Given:
The cost of adults ticket = $18
The cost of children's ticket = $8.25
Total tickets = 2300
Total revenue = $30,168.
To find:
The number of children and number of adults attended the zoo that day.
Solution:
Let x be the number of children and y be the number of adults.
Equation for tickets:
...(i)
Equation for revenue:
...(ii)
Plot the graphs of the given equations on a coordinate plane as shown below.
From the graph it is clear that the graph of both equations intersect each other at (1148,1152).
It means the number of adults is 1148 and the number of children is 1152.
It can be solved algebraically as shown below:
Substitute the value of y in (ii) from (i).




Divide both sides by 9.75.


Putting
in (i), we get



Therefore, the number of adults is 1148 and the number of children is 1152.
<span>A. to use algebraic methods to solve geometric problems.
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Answer:
1. 
2. 
3. correct
4. 
Step-by-step explanation:
When dividing a monomial by another monomial, we divide the coefficients and apply the quotient law of exponents, x m ÷ x n = x m – n to the variables. If both the monomials have negative coefficients, the negative signs cancel out and the answer so obtained will be having a positive coefficient only.
For example, the binomial 2x +4 can be multiplied by the monomial 4x so that (2x) (4x) equals 8x2 and 4·4x equals 16x, using the distributive property. Therefore, (2x +4) (4x) equals 8x2 + 16x.Mar 15, 2016
Use the Quotient Property. When we divide monomials with more than one variable, we write one fraction for each variable. Use fraction multiplication. Simplify and use the Quotient Property.