Answer:
B. x<27
Step-by-step explanation:
300-165=135
135/5=27
3+5=8+5=13 so if you keep doing this you will get 48 which is the answer
9514 1404 393
Answer:
r = √(V/(πh))
Step-by-step explanation:
To solve for r, "undo" what has been done to r. The "undo" is generally in the reverse order. Here, we have ...
- r is squared
- the square is multiplied by πh
To undo these operations, we ...
V/(πh) = r² . . . . . . . . divide by πh
√(V/(πh)) = r . . . . . . take the square root
r = √(V/(πh))
Problem 1 (on the left)
It appears we have an exponential function curve through the points (0,4) and (1,7)
The general exponential function is of the form
y = a*b^x
The value of 'a' is the y intercept or initial value. So a = 4
Plug in (x,y) = (1,7) to help solve for b
y = a*b^x
y = 4*b^x
7 = 4*b^1
7 = 4b
b = 7/4 = 1.75
Therefore, the function is y = 4*(1.75)^x
- Plug in x = 0 and you should get y = 4.
- Plug in x = 1 and you should get y = 7
These two facts help confirm we have the correct exponential equation.
<h3>Answer: y = 4*(1.75)^x</h3>
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Problem 2 (on the right)
The steps will follow the same idea as the previous question.
The exponential curve goes through (-1, 120) and (0,40)
We have a = 40 this time due to the y intercept (0,40)
Plug in the coordinates of the other point to find b
y = a*b^x
y = 40*b^x
120 = 40*b^(-1)
120 = 40/b
120b = 40
b = 40/120
b = 1/3
<h3>Answer: y = 40*(1/3)^x</h3>
