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Fittoniya [83]
3 years ago
10

Deon plots points to show the time it takes him to swim laps on two days. Is there a proportional relationship between the numbe

r of laps and minutes? Explain your answer.

Mathematics
1 answer:
Sever21 [200]3 years ago
6 0

Answer:

There's no proportional relationship between number of laps and minutes.

Step-by-step explanation:

The graph given above is a straight line graph, however, it does not cut across the point of origin (0, 0). As a result of this, it would be difficult to get a constant of proportionality, as you'd likely get different constant of proportionality between different points on the line. Thus, the ratio of y and x for each set of points may vary.

So therefore, the relationship between the x and y cannot be proportional.

We can conclude that the graph does not represent a proportional relationship between number of laps and minutes.

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Answer:

3x - 8

Step-by-step explanation:

To find f(x + 1) substitute x = x + 1 into f(x)

f(x + 1) = 3(x + 1) - 7 = 3x + 3 - 7 = 3x - 4

Similarly

f(1) = 3(1) - 7 = 3 - 7 = - 4

Hence

f(x + 1) + f(1) = 3x - 4 - 4 = 3x - 8

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3 years ago
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Which Two Numbers Add Up To Negative 26 And Multiply To 11?
Fynjy0 [20]
Xy=11
x+y=-26


x+y=-26
minus x both sides
y=-26-x

sub for y
x(-26-x)=11
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x^2+26x+11=0

ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}


a=1
b=26
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x=\frac{-26+/-\sqrt{26^{2}-4(1)(11)} }{2(1)}
x=\frac{-26+/-\sqrt{676-44} }{2}
x=\frac{-26+/-\sqrt{632} }{2}
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aprox

x=-0.420195 or -25.5698

those are the numbers
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