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olga_2 [115]
3 years ago
11

2 1/4 + 3 5/8

Mathematics
2 answers:
lesya692 [45]3 years ago
8 0

Answer:

\frac{21}{4}  +  \frac{35}{8}   \\ =   \frac{77}{8}  \\  = 9 \frac{5}{8}

alina1380 [7]3 years ago
7 0
The answer is 47/8, or 5 7/8.

Explanation: Since the denominators don't match, we have to find the LCD, or least common denominator, which is 8, so, 4 times 2 is 8, which means they match up. then we need to add the whole numbers, 2+3=5, so 5 7/8 is your final answer, hope this helps :)

May I please have brainliest!
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Given the function f(x) = 5^x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3. Part A: Find the average r
Masteriza [31]
Part A)

f(x) = 5^x
f(0) = 5^0
f(0) = 1
----------
f(x) = 5^x
f(1) = 5^1
f(1) = 5
----------
f(x) = 5^x
f(2) = 5^2
f(2) = 5*5
f(2) = 25
----------
f(x) = 5^x
f(3) = 5^3
f(3) = 5*5*5
f(3) = 125

-------------------

Rate of change for section A = (f(1) - f(0))/(1 - 0)
Rate of change for section A = (5 - 1)/(1 - 0)
Rate of change for section A = 4/1
Rate of change for section A = 4

Rate of change for section B = (f(3) - f(2))/(3 - 2)
Rate of change for section B = (125 - 25)/(3 - 2)
Rate of change for section B = 100/1
Rate of change for section B = 100

================================================

Part B)

From part A) above, we found,

Rate of change for section A = 4
Rate of change for section B = 100

Which means that section B's rate of change is 25 times greater (since 100/4 = 25, or 25*4 = 100)

Answer for part B: 25

================================================

Extra:  Explain why one rate of change is greater than the other.

The rate of change for section B is larger because the exponential function is growing faster as x increases. This is shown visually by the sharper and steeper incline as the function curve goes upward. The function starts off with relatively slower growth but it accelerates in speed. 

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