How do i solve and graph y=x^2+5x+6
2 answers:
To graph this equation we find x intercepts and vertex
To find x intercept we replace y with 0
Factor the right hand side
0 = (x+3)(x+2)
x+3 =0 and x+2 =0
x=-3 and x=-3
So x intercept are (-3,0) and (-2,0)
Now we find vertex, vertex formula is x =
, a= 1 and b = 5
so x= = -2.5
Now plug in -2.5 in
= -0.25
So vertex is (-2.5, -0.25)
The value of a=1 that is positive , so parabola opens upwards.
The graph is attached below.
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Answer:
The 99% lower confidence bound for the true average weight loss is 3.98 pounds.
This means that we can be 99% sure that the mean weight loss for all obese adults on a low-carb diet is positive.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 11 - 6.02 = 3.98 pounds
The 99% lower confidence bound for the true average weight loss is 3.98 pounds.
This means that we can be 99% sure that the mean weight loss for all obese adults on a low-carb diet is positive.
Check the picture below.
so hmmm let's get the whole area of the rectangle, and then <u>get the areas of those 3 triangles and subtract their area from that of the rectangle's,</u> what's leftover is what we didn't subtract, namely, the white triangle.
