The local minima of 
are (x, f(x)) = (-1.5, 0) and (7.980, 609.174)
<h3>How to determine the local minima?</h3>
The function is given as:
See attachment for the graph of the function f(x)
From the attached graph, we have the following minima:
Minimum = (-1.5, 0)
Minimum = (7.980, 609.174)
The above means that, the local minima are
(x, f(x)) = (-1.5, 0) and (7.980, 609.174)
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Answer:
172.8 people got a gift card
Step-by-step explanation:
12,010 + 1,814 = 13,824 divided 80
= 172.8 people got a gift card
Answer:
(x-1)²+ (y-0.5)²=6.25
Step-by-step explanation:
<u>The standard form of equation of a circle is;</u>
(x-a)²+(y-b)²=r² where (a,b) are the center of the circle and r is the radius
<u>Finding the mid-point of the given points</u>
(-1,2) and (3,-1)⇒midpoint will be 1/2(x₁+x₂) , 1/2(y₁+y₂)
midpoint= {1/2(-1+3), 1/2(2+-1)}
midpoint=(1,0.5)
<u>Finding the radius r; the distance from the center to either of the given two points</u>
Apply the distance formula d=√ (x₂-x₁)² +(y₂-y₁)²
Taking (x₁,y₁) as (1,0.5) and (x₂,y₂) as (-1,2) then
d=√ (-1-1)² +(2-0.5)²
d= √ (-2)²+(1.5)²
d=√4+2.25⇒√6.25⇒2.5
r=2.5
<u>Equation of the circle</u>
(x-1)² + (y-0.5)²=2.5²
(x-1)²+ (y-0.5)²=6.25
Answer:
2 years 5 months
Step-by-step explanation:
TO solve, convert everything to months
1 year has 12 months, so 5 years would have 60, because we multiply by 5.
Then we add the remaining 2 months, 60+2 =62
Then we can convert 2 years to 24 months. Then we add the remaining 9 months to get 24+9, 33
Then we subtract the 2, and get 62-33= 29, and we divide by 12 to convert to years and months. 29 divided by 12 is 2 and 5 months
so your answer is 2 years and 5 months
