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12345 [234]
3 years ago
5

At a pizza eating competition, Davonne ate four more than twice as many slices as the runner up. If Davonne ate 11 slices, then

how many slices did the runner up eat?
Mathematics
1 answer:
Sauron [17]3 years ago
3 0
Let's begin with x as the number of slices the runner up ate.
Davonne ate four more than twice
So the equation should look somewhat like this.
4+2x=11
2x=7
x=3.5
So the runner up ate 3.5 slices
<span>Davonne ate four more than twice as many slices as the runner up. If Davonne ate 11 slices, then how many slices did the runner up eat?</span>
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Step-by-step explanation:

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Leni [432]

Answer:

71. \ \ \ f(a) \  = \  7a \ - \ 3; \ f(a+h) \  =  \ 7a \ + \ 7h \ - \ 3; \ \displaystyle\frac{f(a+h) \ - \ f(a)}{h} \ = \ 7

72. \ \ \ f(a) \  = \  5a^{2}; \ f(a+h) \  =  \ {5a}^{2} \ + \ 10ah \ + \ {5h}^{2}; \ \displaystyle\frac{f(a+h) \ - \ f(a)}{h} \ = \ 10a \ + \ 5h

Step-by-step explanation:

In single-variable calculus, the difference quotient is the expression

                                              \displaystyle\frac{f(x+h) \ - \ f(x)}{h},

which its name comes from the fact that it is the quotient of the difference of the evaluated values of the function by the difference of its corresponding input values (as shown in the figure below).

This expression looks similar to the method of evaluating the slope of a line. Indeed, the difference quotient provides the slope of a secant line (in blue) that passes through two coordinate points on a curve.

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Similarly, the difference quotient is a measure of the average rate of change of the function over an interval. When the limit of the difference quotient is taken as <em>h</em> approaches 0 gives the instantaneous rate of change (rate of change in an instant) or the derivative of the function.

Therefore,

              71. \ \ \ \ \ \displaystyle\frac{f(a \ + \ h) \ - \ f(a)}{h} \ \ = \ \ \displaystyle\frac{(7a \ + \ 7h \ - \ 3) \ - \ (7a \ - \ 3)}{h} \\ \\ \-\hspace{4.25cm} = \ \ \displaystyle\frac{7h}{h} \\ \\ \-\hspace{4.25cm} = \ \ 7

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Step-by-step explanation:

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work it out "the equation 1.5r + 15=2.25r represents the number r of movies u must rent to spend the same amount at each movie s
Alex17521 [72]

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