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Korvikt [17]
3 years ago
15

Compare and contrast exponential and linear functions using both graphs and tables. How would you determine if a function is lin

ear or exponential by looking only at a table?
Mathematics
1 answer:
mash [69]3 years ago
4 0
The main difference between the linear and exponential function is the following: the linear function f(x)=ax+b is  changing at a constant rate as x  changes and the exponential function f(x)=ab^x is changing at a rate that's always proportional to the value of the function. Using both graphs and tables can be notices that <span>exponential growth is </span>far more significant than linear growth. By looking only at a table we can determine if a function is linear of exponential by determining which growth is more significant (the exponential function has far more significant growth than the linear function). 
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What is the next term in the sequence 58, 47, 36, 25, ...?
maksim [4K]

Answer:

14

Step-by-step explanation:

you have to add 3 to the first of the two numbers. for example 5+3=8 so the answer would be 58, and because you're decreasing each number by 10 you would have to add 1+3=4 so tha answer must be 14.

5 0
2 years ago
Find two positive numbers satisfying the given requirements. The product is 432 and the sum of the first plus three times the se
kogti [31]

Answer:

<h3>36 and 12</h3>

Step-by-step explanation:

Let the two positive integers be x and y.

If their product is 432, then

xy = 432 ......... 1

Also if the sum of the first plus three times the second is a minimum, then;

p(x) = x + 3y

From 1;

y = 432/x ..... 3

Substitute 3 into 2;

p(x) = x+3y

p(x)= x + 3(432/x)

p(x) = x + 1296/x

Since the expression is at minimum when dp(x)/dx = 0

dp/dx = 1 + (-1296)/x²

dp/dx = 1  -1296/x²

0 =  1  -1296/x²

0 = (x²-1296)/x²

cross multiply

0 = x²-1296

x² = 1296

x = √1296

x = 36

Since xy = 432

36y = 432

y = 432/36

y = 12

Hence the two positive numbers are 36 and 12

4 0
2 years ago
Jeremias invested $20 at a rate of 8.5% compounded continuously. How long would it take to triple his money?
3241004551 [841]

Answer:

  • 13

Step-by-step explanation:

<u>Use formula for continuous interest:</u>

  • A = Pe^{rt}, where r- interest rate, t- time in years

<u>If A = 3P, and r = 0.085 then the equation is:</u>

  • 3P = Pe^{0.085t}
  • 3 = e^{0.085t}
  • ln 3 = 0.085t
  • 1.099 = 0.085t
  • t = 1.099 / 0.085
  • t = 12.9 ≈ 13 years

3 0
2 years ago
Read 2 more answers
-) In a poll, 9 out of 25 students in Lydia's science class say they will vote for her for class president.
V125BC [204]
A) Divide and compare in decimal form -
9/25 = 0.36
4/6=2/7 = 1/4 = 0.25
0.6... > 0.25

B) Fraction to decimal conversion:
4/16 = 2/8 = 1/4 = 0.25

Use long decision or a calculator - 1 divided by four

C) Again, 9/25 = nine divided by twenty-five = 0.36

% Science class)

0.36 = 36%
Move decimal place to right twice and place “%” at the end.



0 0
3 years ago
A garden is in the shape of a square with a perimeter of
ElenaW [278]

The perimeter of a square is the sum of its sides and they are all equal, so to obtain the length of each of them we divide the perimeter of the first fence between 4:

 P1= 64 feet/4 sides

 P1= 16 feet

 Then, the length of each side of the second fence will increase 2 feet at each end, as shown in the figure. We have then that the perimeter of the second fence is:

 P2 = 20 feet x 4 sides

 P2 = 80 feet

 The sum of the perimeters of both fences is:

 PT = P1 + P2

 PT = 64 feet + 80 feet

 PT = 144 feet

 Total cost = 1.17 $ x 144 feet

 Total cost = 168.48 $

 The total cost of the fences was $ 168.48

6 0
3 years ago
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