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Answer:</h2>
<u>Formula is given in the picture</u>
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Step-by-step explanation:</h2>
For the exponential growth we have the formula
Exponential functions are in the form
y = ab^ x
If a is positive and b is greater than 1, then it is exponential growth. If a is positive and b is less than 1 but greater than 0, then it is exponential decay.
For Example
2 months ago you had 3 mice, you now have 18 shows and exponential growth
And
Atmospheric pressure (the pressure of air around you) decreases as you go higher shows exponential decay.
I think it’s B). y ≤ x2 − 5
hope this helps!
Answer:
Distance = Square Root [(x2 -x1)^2 + (Y2 -Y1)^2]
Distance = Square Root [(8 --6)^2 + (10 -2)^2]
Distance = Square Root [14^2 + 8^2]
Distance = Square Root [196 +64]
Distance = Square Root [260]
Distance = 16.1245154966
Source: https://www.1728.org/distance.htm
Step-by-step explanation:
Answer: I Think It Is Greater Than Or Equal To -9
Step-by-step explanation: The given function is:
f(x)x^2+2x-8
We complete the square to write this function in the form:
f(x)=a(x-h)^2+k
We add and subtract the square of half the coefficient of x.
f(x)=x^2+2x+1^2-1^2-8
f(x)=(x=1)^2-9
The vertex of this function is (h,k) which is (-1,-9)
The equation of axis of symmetry is x=h
But h=-1, hence the axis of symmetry isx=-1
To find the x-intercepts, we put f(x)=0
(x+1)^2-9=0
(x+1)^2=9
x+1=the square root of 9
x=-4, 2
The x-intercepts are:(
-4,0) and (2,0)
The given function is a polynomial function, the domain is all real numbers
The function has a minimum value of y=-9.
Therefore the range is y|y is greater that or less than -9
Step-by-step explanation:
2x = x1.2^n
2 = 1.2^n
log1.2(2) = n
log10(2)/log10(1.2) = n = 3.801784017...
so, rounded to the next whole year it takes 4 years.