Answer:
C.
Step-by-step explanation:
The set of ordered pairs can only be a function if the x value is not repeated .Thus,only C is a function as the x values (-1,4,1,-3) are unique while the other options have a repetition of its certain x values.
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Let the constant of variation be c.
We are given that y varies inversely with 2.5x, this means that:
y = (c) / (2.5x)
This can be written as:
2.5xy = c
Now, we a re given that y = 5.6 at x = 30.
Substitute with these values in the equation to get the value of c as follows:
2.5xy = c
2.5(30)(5.6) = c
c = 420
Therefore, the equation that describes the relation is:
2.5xy = 420
The range in the average rate of change in temperature of the substance is from a low temperature of 1 F to a high of -11 F.
<h3>What is a formula for Fahrenheit?</h3>
The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) ;
°F = (9/5 × °C) + 32.
Given function:
f(x)= -6 sin(7/3 x+ 1/6) -5
The function will be maximum at the 7/3 x +1/6= 3π/2
So, the maximum temperature will be
= -6 sin (3π/2) -5
= 6 -5
= 1 F
The function will be minimum at the 7/3 x +1/6= π/2
Therefore, the maximum temperature will be
= -6 sin (π/2) - 5
= -6 -5
= -11 F
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Answer:
We conclude that 'A number t multiplied by -4 is at least −2/5' can be algebraically written as inequality such as:
Step-by-step explanation:
Given
A number t multiplied by -4 is at least −2/5
To determine
Write the sentence as an inequality.
For the inequalities, when we mention 'at least', we can term it as 'greater than or equal to' symbol such as '≥'.
It is stated that A number t multiplied by -4 is at least −2/5.
Let 't' be the number.
Multiplying t by -4 is: -4t
Thus, A number t multiplied by -4 is at least −2/5 will be written as:
-4t ≥ -2/5
Therefore, we conclude that 'A number t multiplied by -4 is at least −2/5' can be algebraically written as inequality such as:
Answer:
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Step-by-step explanation:
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