Answer:
x = 21.2
Step-by-step explanation:
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Using algebra...
n and n+2 are the integers
n*(n+2)=288
n^2+2n=288
n^2+2n-288=0
288=2*2*2*2*2*3*3=(2*2*2*2)*(2*3*3)=16*18 and 18-16=2
factor
(n+18)(n-16)=0
n+18=0
n=-18
n+2=-16
this is one solution
n-16=0
n=16
n+2=18
this is another solution
as you can see, it's just a matter of factoring
288
using arithmetic...
√288=16.97≈17
16 and 18 are the integers (as well as -16 and -18)
For the given parabola, the axis of symmetry is x = 2.
<h3>
How to get the axis of symmetry?</h3>
For any given parabola, we define the axis of symmetry as a line that divides the parabola in two equal halves.
For a regular parabola, we define the axis of symmetry as:
x = h
Where h is the x-component of the vertex.
Remember that for the general parabola:
y = a*x^2 + b*x + c
The x-value of the vertex is:
h = -b/(2a)
Then for the function:
f(x)=−2x²+8x−2
We get:
h = -8/(2*-2) = 2
Then the axis of symmetry is x = 2.
If you want to learn more about parabolas, you can read:
brainly.com/question/1480401
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<em>Honestly, I've been in </em><em>a</em><em> </em><em>similar</em><em> situation before, that's how I know what to do.</em>
Answer: City A is 34,281 feet higher that City B.
Step-by-step explanation:
You know that:
- City A has an elevation of 15,723 feet above sea level.
- City B has an elevation of 18,558 feet below sea level.
The sea level is: 0 feet. Therefore, to calculate how much higher is City A than City B you must add both quantities, because from the City B to the sea level there are 18,558 feet and from the sea level to the City A there are 15,723 feet.
Then:
15,723 feet+18,558 feet=34,281 feet