Answer: Unit rate = 4/35 of a gallon per hour
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Work Shown:
3 & 1/2 = 3 + 1/2
3 & 1/2 = 6/2 + 1/2
3 & 1/2 = (6+1)/2
3 & 1/2 = 7/2
The faucet drips 2/5 of a gallon in 7/2 hours
2/5 gallon : 7/2 hours
2*(2/5 gallon) : 2*(7/2 hours) ..... multiply both sides by 2
4/5 gallon : 7 hours
(1/7)*(4/5 gallon) : (1/7)*(7 hours) ... multiply both sides by 1/7
4/35 gallon : 1 hour
The unit rate is 4/35 of a gallon per hour.
"Per hour" means "every 1 hour".
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Answer:
5 amperes will produce the maximum power of 300 watts.
Step-by-step explanation:
The general form of a quadratic function presents the function in the form

The vertex of a quadratic function is the highest or lowest point, also known as the maximum or minimum of a quadratic function.
We can define the vertex by doing the following:
- Identify a, b, and c
- Find, the x-coordinate of the vertex, by substituting a and b into

- Find, the y-coordinate of the vertex, by evaluating

We know that the power generated by an electrical circuit is modeled by

This function is a quadratic function.
To find the current that produce the maximum power you must
a = -12 and b = 120
- Find, the maximum current of the vertex, by substituting a and b into


- Find, the maximum-power, by evaluating


5 amperes will produce the maximum power of 300 watts.
We can check our work with the graph of the function
and see that the maximum is (5, 300).
The value of the function f(x)=6/-2+2
at x=4 after rounded to the nearest tenth is -2.4.
Given Function of x : f(x)=6/-2+2
The given function showing the relationship between x and f(x) is f(x)=6/-2+2
where e is exponential and we have to find the value of f(4) by just putting the value of x=4 in the given function and round to the nearest tenth means replacing a number with an approximate value.
f(4)=6/-2+2
( The value of e is 2.7812)
f(4)=-3+2
f(4)=-3+2*0.30119 (The value of
is 0.30119)
f(4)=-3+0.60238
f(4)=-2.3972
Round -2.3972 to tenth is -2.4.
Hence the value of function of at x=4 is -2.4.
Learn more about function at brainly.com/question/10439235
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