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olga nikolaevna [1]
2 years ago
10

The table represents some points on the graph of a linear equation.What is the rate of change of y with respect to x for this fu

nction?

Mathematics
2 answers:
Irina18 [472]2 years ago
4 0
Here you go! Hope this helps

guajiro [1.7K]2 years ago
3 0

Answer:

Step-by-step explanation:

what we know=

x is the independent variable and y is the dependent variable.

our co-ordinates can be expressed in the form of (x value, y value).

so... we only need two points for this so let's just list two points so it goes faster

A(-7,5)

B(-1,65)

alright, now we have two points. we're trying to find the rate of change, which in other words, is the slope.

m=(y-y1)/(x-x1) <-- plug in our points.

m=(65-5)/(-1-(-7)

m=60/(-1+7)

m=60/6

m=10

therefore the rate of change aka the slope of this table of values is 10.

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Read 2 more answers
P(t) = 250 * (3.04)^t/1.98,
Alex17521 [72]

Answer:

The concept which best describes the change of the population is the derivative of p(t)=250(3.04)^{\frac{t}{1.98}}.

Step-by-step explanation:

Observe that the function p(t)=250(3.04)^{\frac{t}{1.98}} describes the amount of rabbits at the time t (in years) but  no the rate of change of the population at a given instant. So you have to use the derivative of p(t) to obtain that rate of change at any instant. For example, if we derivate the function p(t)=250(3.04)^{\frac{t}{1.98}} we obtain:

p'(t)=250\cdot \log(\frac{1}{1.98})(3.04)^{\frac{t}{1.98}}

And if we want to find the rate of change at t=5 years we evaluate

p'(5)=250\cdot \log(\frac{1}{1.98})(3.04)^{\frac{5}{1.98}}=2326 rabbits/year

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In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 &
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Step-by-step explanation:

64 < x < 68

This inequality represent that the height x should be greater than 64 and less than 68.i.e.

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Answer:

x=-2

Step-by-step explanation:

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