Answer:
Step-by-step explanation:
Start with why C isn't the answer.
y = 1.8^0 . The power is zero. Anything to the zero power (anything except 0 to the 0 power) is 1. So 1.8^0 is 1 not something else. C assumes that somehow 0,1.8 turns into 1.8. It does not. The second part is also wrong but you don't need it. However here it is.
x = 0 y = 3
x = 1 y = 3 * 1.8 = 5.4
x = 2 y = 3 * 1.8^2 = 3*3.24 = 9.72
You should be able to see that if you multiply 5.4 by 3, you don't get 9.72
C just does not work.
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The actual answer is A. That's exactly what the graph does. If you multiply 5.4 * 1.8 you should get 9.72. Just for completeness, I've included the graph.
We try to find the number that 75% of it is 200 by set the number that we try to find by A
-> A x 75/100 = 200
-> (A x 75)/100 = 200
-> A x 75 = 200 x 100
-> A x 75 = 20,000
->A = 20,000/75
-> A = 266.6666...
So that the number that 75% of it is 200 : 266.6667
In both cases you may well benefit from graphing the functions.
Do you recognize f(x) = (x + 1)^2 - 1 as a quadratic function, whose graph is that of a parabola that opens up? By comparing this to y = a(x-h)^2 + k, we see that a=1, h= -1 and k = -1. The vertex is at (h,k), which here is the point (-1, -1). This is the minimum value of the function. Thus, the range of this function is [-1, infinity).
Now for the function f(x) = 7x - 11: This is a linear function whose graph is (surprise!) a straight line. When x increases, y increases, without limits to either. Similarly, when x decreases, y decreases.
Thus the range includes all real numbers: (-infinity, infinity).
Use property of proportion:
miles time (hs)
90 2.25
x 1
x = 90 ÷ 2.25
x = 40 miles
Answer:
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