Converting from vertex to standard form plzz help ;(
1 answer:
Answer:
x²-4x+7
-x²-6x-12
Step-by-step explanation:
1.) the first thing we do is expand the exponent (or mulitply (x-2)(x-2) the images below will show you how to do that
We get x²-4x+4 and then just need to add three
x²-4x+7
2.)
We do the same thing (expand the exponent) and get x²+6x+9
which means so far we have
-(x²+6x+9)-3
carry out the negative sign and subtract 3
-x²-6x-12
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Answer:
a)
b) 6.84 million
c) 2028.52
d) 47 years
Step-by-step explanation:
a)Here we know standard exponential growth rate is
In this put t=0 and a(t)=6.27 million
thus we get a = 6.27 million
now
this is equal to(in 2012)=
b)Put t = 6
we get
=6.84 million
c)
take log both sides
we get 16.52 years
d)
take log both sides we get 47 years to get double the current population.
Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.
<h3>What is a slope?</h3>The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.
Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:
Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:
The distance is:
The shuttle traveled 3.2 miles while Marion was watching.
More can be learned about the slope concept at brainly.com/question/18090623