The function f(x)=3(2.5)^ is shown on the graph. Fill in the blank. As x increases without bound, the graph of f(x) ____________
_____.
decreases without bound
increases without bound
approaches y=0
approaches y=3
decreases without bound
increases without bound
approaches y=0
approaches y=3
1 answer:
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Answer:
8.5 hrs
Step-by-step explanation:
-A 75th percentile mathematically means that 75% of the time data points are below that value and 25% of the time are above that value.
-We plot the given our data {3 12 2 3 5} to determine the 75th percentile
#We can use to plot our boxplot.
-From the plot, we find our 75th percentile to be 8.5 hrs
Hence, 75% of the time the number of hours spent to prepare was less than 8.5hrs.
Answer:
Step-by-step explanation:
You have 3 unknowns: a, b, and c. It's our job to find them algebraically. I'm going to start with the point where x = 0 and y = 7. You'll see why in a minute. Filling in the standard form of a quadratic
using (0, 7):
gives you that c = 7. We will use that value now when we write the next 2 equations. Now the point (-2, 19):
and
so
12 = 4a - 2b
Now for the next point (-1, 12):
and
so
5 = a - b
Now we have a system of equations (the 2 bold font equations) that we will solve by elimination:
12 = 4a - 2b
5 = a - b
Multiply the bottom equation by -4 to get a new system:
12 = 4a - 2b
-20 = -4a + 4b
Add those together to get rid of the a terms and end up with
-8 = 2b so
b = -4
Now we can sub in -4 for b to solve for a. I'm using the second bold type equation to do this:
5 = a - (-4) and
5 = a + 4 so
a = 1 and the equation for the quadratic function is