585,156.22 nearest thousand
1 answer:
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Just take the square root of 20!
= 4.5
= 4.5
Answer:
The house is increasing in value by 2% each year.
Correct the increase is 1.02 per year the value of b>0 and the percentage of increase each year is:
Step-by-step explanation:
For this case if we have this expression
We have the same functional forma like the exponential model given by:
Where a = 210000 represent the constant or initial value and b = 1.02 represent the base.
So let's analyze the possible options:
The house has a starting value of 1.02.
False the starting value for this case is 210000 since if x=0 then we see that the value is 210000
The house is decreasing in value by 2% each year.
False the increase is 1.02 each year so then in % we have
We have an increase of 2% each year
The house is increasing in value by 2% each year.
Correct the increase is 1.02 per year the value of b>0 and the percentage of increase each year is:
The value of the house is changing by 0.02% each year.
False the increase is 2% per year
The smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.
What is the intermediate value theorem?
Intermediate value theorem is theorem about all possible y-value in between two known y-value.
x-intercepts
-x^2 + x + 2 = 0
x^2 - x - 2 = 0
(x + 1)(x - 2) = 0
x = -1, x = 2
y intercepts
f(0) = -x^2 + x + 2
f(0) = -0^2 + 0 + 2
f(0) = 2
(Graph attached)
From the graph we know the smallest positive integer value that the intermediate value theorem guarantees a zero exists between 0 and a is 3
For proof, the zero exists when x = 2 and f(3) = -4 < 0 and f(0) = 2 > 0.
<em>Your question is not complete, but most probably your full questions was</em>
<em>Given the polynomial f(x)=− x 2 +x+2 , what is the smallest positive integer a such that the Intermediate Value Theorem guarantees a zero exists between 0 and a ?</em>
Thus, the smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.
Learn more about intermediate value theorem here:
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