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Nady [450]
2 years ago
14

Given the following table and graph write the equation to represent the exponential function.

Mathematics
1 answer:
meriva2 years ago
7 0

Answer:

The exponential equation is y = -2×(1/2)^x

Step-by-step explanation:

Ok we have a couple things to note here:

1) The horizontal asymptote of the function is the x axis (always nice)

2) At x=0, y=-2 (i.e, this function will be multiplied by -2 bc the exponent part will transform into one at x=0)

3) Then we need to ascertain the base of the exponential. Based on the facts that at x=1, y=-1 and the "a-value" is -2, we can set up an equation to find b:

y=a×b^x----> -1 = (-2)(b) ------> b=1/2

Therefore, the exponential equation is y = -2×(1/2)^x

Test:

At x = 0, y= -2

At x = -1, y = (-2)*(1/2)^-1 = (-2)*2 = -4

At x=2, y = (-2)*(1/2)^2= (-2)*(1/4) = -1/2

Thus we can be quite certain that this is correct

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Write the exponential function that passes through the points (3, 10) and (5, 40)
tigry1 [53]

Answer:

  y = (5/4)2^x

Step-by-step explanation:

The function value increases by a factor of 40/10 = 4 when x increases by 2. The function can be written as ...

  y = (reference value)·(growth factor)^((x -reference)/(change in x for growth factor))

  y = 10·4^((x-3)/2) . . . . . . using point (3, 10) as a reference

This can be simplified to ...

  y = 10·2^(x -3) = 10/8·2^x

  y = (5/4)2^x

6 0
3 years ago
Please Help ! Dilations
Darina [25.2K]

Answer:

Answer is C.

Step-by-step explanation:


4 0
3 years ago
A construction company uses the function f(p) where p is the number of people working on a project to model the amount of money
Jlenok [28]

Answer:

Domain of f(p) =  [0,∞), where it belongs to whole numbers only

Step-by-step explanation:

The domain is the set of all possible values of independent variable for which function is defined

As in the given function f(p), we have the independent variable p. As p is the number of people working on the project, so it means either the number of people could be 0 or it could be anything greater than 0,  like it could be equal to thousand or ten thousand, but it can not be fraction in any case.

So, the domain is set of whole numbers starting from 0.

Domain of f(p) = [0,∞)  


5 0
3 years ago
Read 2 more answers
Need help just with number 2 please and thank you!!
BaLLatris [955]
I believe the answer is 17
4 0
3 years ago
Why do you divide by 60 after calculating the area of the trapezoid (to calculate the distance)? I got 900 but I don’t know why
Free_Kalibri [48]

Answer:

Step-by-step explanation:

What you are trying to do is a nice way to solve this problem. Without knowing any physics, you are using what math you know to get the answer. You are actually very close to being correct, and you are right. You do have to divide by 60.

Here's why and it is the one bit of physics you have to know.

The speed is km/hour. That word hour is the culprit. Your time is in minutes and you have to get it into hours. In physics, the units have to be consistent.

So ...

b1 = 19 minutes which is 19 min [1 hour / 60 minutes] = 19/60 = 0.31667 hour

b2 = 26 minutes which is 26 min [ 1 hour/60 minutes] =  26/60 = 0.4333 hour

h = 40 km/hour

Area = (0.31667 hour + 0.4333 hour)*40 km/hour /2

Area = 0.75 hour * 40 km/hr //2

Area = 15 km

6 0
3 years ago
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