Based on the given variation, y does not vary directly with x and the constant of variation are 8, 3.2 and 1.25 respectively.
<h3>Variation</h3>
y = k × x
where,
k = constant of proportionality
y = -40
x = -5
y = k × x
-40 = k × -5
-40 = -5k
k = -40/-5
k = 8
when,
y = 8 and x = 2.5
y = k × x
8 = k × 2.5
8 = 2.5k
k = 8/2.5
k = 3.2
when,
y = 5 and x = 4
y = k × x
5 = k × 4
5 = 4k
k = 5/4
k = 1.25
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The expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1
<h3>Which describes all of the values for which the graph is positive and decreasing?</h3>
The equation of the function is given as:
f(x) = (x - 3)(x + 1)
When the value of the graph is positive, we have:
f(x) > 0
So, the function becomes
(x - 3)(x + 1) > 0
Split the above inequality
x - 3 > 0 and x + 1 > 0
Solve for x in the inequalities
x > 3 and x > -1
Hence, the expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1
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Answer:
Not possible to calculate with the information
Step-by-step explanation:
Given
(each)
Required
The number of Kansas senators presently in the US senate
First, it should be noted that the given information applies to 2008 presidential election
Next, the given information states the number of electors each of the given locations had in the electoral college.
There was no information about the number of senators in the senate (presently or 2008).
<em>Hence, additional information is required to answer the question.</em>
