A trapezoid has an altitude of 12 cm. Its parallel sides measure 10 and 8 cm, respectively. What is its area?
2 answers:
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Answer:
(Choice A) A More rainfall relates to more mosquitoes, as long as rainfall is less than 2 cm²
Step-by-step explanation:
The given function for the number of mosquitoes, (by analysis of the options) is, g(x) = 4·x - x²
Where;
x = The amount of rainfall
g(x) = The number of mosquitoes in millions
The given function can be expressed as follows;
g(x) = 4·x - x² + 0
The maximum point is given by g'(x) = d(4·x - x²)/dx = 4 - 2·x = 0
At the maximum (turning point), we have;
4 - 2·x = 0
4 = 2·x
x = 4/2 = 2
The level of rainfall that gives the maximum number of mosquitoes is, x = 2 cm²
The number of mosquitoes increases from zero rainfall up to the maximum number of 4 million mosquitoes at 2 cm² rainfall and then decreases to zero as the rainfall increases further more than 2 cm², as shown in the attached graph of the function g(x) that models the number of mosquitoes created with MS Excel
Therefore, the true statement is (Choice A) more rainfall relates to more mosquitoes, as long as (the level of) rainfall is less than (the maximum) 2 cm².
Answer:
Step-by-step explanation:
Ignore the A before the ±. It wouldn't let me type it correctly.
x² + 2x - 5 = 0
a = 1
b = 2
c = - 5
Two separate equations
Answer:
Part 1) The cost per second is
Part 2) The cost per customer is
Step-by-step explanation:
Part 1) Calculate the cost per second
we know that
To find out the cost per second, divide the total cost by the time
Let
x ----> the total cost
y ----> the time in seconds
we have
therefore
The cost per second is
Part 2) Calculate the cost per customer
we know that
To find out the cost per customer, divide the total cost by the number of customers
Let
x ----> the total cost
y ----> the number of customers
we have
therefore
The cost per customer is