In a (blank),one ratio compares a part to a whole
1 answer:
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Answer:
Option B - and
Step-by-step explanation:
Given : The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride, x. The Splash water park charges an entry fee of $60 and an additional $3 per ride, x.
To find : Which system of equations could be used to determine the solution where the cost per ride of the two amusement parks, y, is the same?
Solution :
Let x be the number of rides and
y be the cost per ride.
According to question,
The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride.
The equation form is
The Splash water park charges an entry fee of $60 and an additional $3 per ride.
The equation form is
Therefore, The required system of equations form are
and
So,Option B is correct.
Answer:
The Translation is 5 units to the right and 8 units up
Step-by-step explanation:
* Lets talk about some transformation
- If the function f(x) translated horizontally to the right
by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left
by h units, then the new function g(x) = f(x + h)
- If the function f(x) translated vertically up
by k units, then the new function g(x) = f(x) + k
- If the function f(x) translated vertically down
by k units, then the new function g(x) = f(x) – k
* Now lets solve the problem
∵ The parent function is y = (0.5)^x
∵ f(x) = (0.5)^x - 5 + 8 after translation
- The x in the first function is (x - 5) in the second function
∴ There is a horizontal translation to the right 5 units
- the first function is (0.5)^x in the second function y = (0.5)^x - 5 + 8
∴ There is a vertical translation up 8 units
* The Translation is 5 units to the right and 8 units up
- Look to the attached graph to more understand
- The purple graph is y = (0.5)^x
- The black graph is f(x) = (0.5)^x-5 + 8
- To check the answer take a point from the y = (0.5)^x as (0 , 1), the
image of this point on f(x) is (5 , 9)
-The point (0 , 1) is shifted 5 units to the right and 8 units up
∴ Its x- coordinate move from 0 to 5, y- coordinate move from 1 to 9
The probability would be 0.000017.
70% of the 20 questions is 14 questions correct. Using a binomial distribution for this, we have:
70% of the 20 questions is 14 questions correct. Using a binomial distribution for this, we have: