The range would be the difference between the lowest age and the highest age.
The highest age is 76, the lowest age is 30
The range is 76 - 30 = 46
Step-by-step explanation:
-2x³ + 14x² + 120x
= -2x(x² - 7x - 60)
= -2x(x - 12)(x + 5).
The other 2 dimensions are -2x and (x + 5).
When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.
Answer:
Below.
Step-by-step explanation:
You find the values of y by substituting the values of x in the expression x^2 + 3x - 1.
So f(-4) = (-4)^2 + 3(-4) - 1 = 16-12-1 = 3
in the same way f(-3) = -1, f(-2) = -3, f(-1) = -3,
f(0) = -1 and f(1) = 3.
Now plot the points (-4, 3) , (-3, -1) and so on
Then you can read the values off this graph.
Answer:
76.1
Step-by-step explanation:
Answer:
f(t) = 5×0.87^t
Step-by-step explanation:
The general form for an exponential function described in this fashion is ...
... f(t) = (starting value) × (1 + (percent change))^t
Here, the "percent change" is -13%, or -0.13.
Then the value (1 + percent change) is (1 + (-0.13)) = 0.87. Putting this and the starting value into the form above, we have ...
... f(t) = 5 × 0.87^t
