Answer:
33 degrees
Step-by-step explanation:
(4x+1) and (2x-19) add up to 180 degrees
Part A)
f(x) = 5^x
f(0) = 5^0
f(0) = 1
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f(x) = 5^x
f(1) = 5^1
f(1) = 5
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f(x) = 5^x
f(2) = 5^2
f(2) = 5*5
f(2) = 25
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f(x) = 5^x
f(3) = 5^3
f(3) = 5*5*5
f(3) = 125
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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
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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
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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.
223
-119
104
In stead of doing 3-9 and 2-1 do 23-19 then 2-1
Answer:
Step-by-step explanation:
Given
Phone R-Us= $16.95 + $0.05 per SMS
Awesome Wireless = $22.95 + $0.02 per SMS
Required
Determine the number of SMS such that Awesome Wireless is greater or equal to Phone R-Us
Represent the SMS with S
For Phone R-Us, we have:
For Awesome Wireless, we have:
For Awesome Wireless is greater or equal to Phone R-Us, we have:
Collect Like Terms
Solve for S
<em>Hence: for Awesome Wireless to cost more or equal to Phone R-Us, the number of SMS must not exceed 200</em>
Answer:
∠3 = 115°
∠8 = 75°
∠6 = 105°
∠11 = 115°
∠9 = 65°
∠4 = 65°
Step-by-step explanation:
∠3 = 180 - 65 =115° because they are supplementary
∠8 = 75° because it is vertical to 75°
∠6 = 180 - 75 = 105° because they are supplementary
∠11 = 115° because it is corresponding to ∠3
∠9 = 65° because it is corresponding to ∠1
∠4 = 65° because it is vertical to 65°
