Answer:
Step-by-step explanation:
It is assumed the question is about finding the minimum value as the given function has no maximum value, it is + ∞ as the coefficient of x² is positive
<u>The minimum/maximum value of a quadratic function is the vertex, which is at:</u>
<u>For the given function y = x² -10x + 31, the vertex is:</u>
- x = - (-10)/2*1 = 10/2 = 5
<u>The value of y at this point is:</u>
- y = 5² - 10*5 + 31 = 25 - 50 + 31 = 6
<u>The point is </u>
4x+5y=20 in slop intercept form would be y= (-4/5)x + 4.
Slope intercept form is y=mx+b. So you would first subtract 4x from both sides. This ends up being 5y= -4x +20. Then divide both sides by 5. This gets you y= (-4/5)x +4.
A=p(1+i/m)^mn
Interest earned
I=A-p
A=980×(1+0.08÷4)^(4×5)
A=1,456.23
I=1,456.23−980
I=476.23
A=7,200×(1+0.04)^(8)
A=9,853.69
I=9,853.69−7,200
I=2,653.69
A=15,520×(1+0.06÷2)^(2×4)
A=19,660.27
I=19,660.27−15,520
I=4,140.27
Divide the distance by the speed:
10^8 / 10^5 = 10^3 days ( 1,000 days)
Answer:
384√3 in²
Step-by-step explanation:
Given in the question a regular 6 sided polygon
To find it's area you have to use the following formula
<h3> 1/2 x perimeter x apothem</h3>
<em>Perimeter = the sum of the lengths of all the sides </em>
<em>Suppose length of one side = x</em>
<em>Apothem = a segment that joins the polygon's centre to the midpoint of any side that is perpendicular to that side = 8√3</em>
<em />
Since the polygon have 6 sides so
perimeter = 6x
<h3>x = 2(8√3)/√3</h3>
x = 2(8)
x = 16
perimeter = 6(16) = 96 in
plug values in the formula of area
<h3>1/2 x 96 x 8√3</h3>
384√3 in²
