According to Vitruvian Man, an arm span and height have a nearly perfect correspondence in the human body. As a result, the body is placed perfectly inside a square. Buildings and other works of man should also occur depending on these proportions. All of this ties in with the problem of finding a procedure to hand-draw a square and a circle of equal area.

6 0

3 years ago

Create the quadratic function that contains the points (0,2), (1,0), and (3,10). Show all of your work for full credit.

Marina86 [1]

Answer:

y=7/3x²-13/3x+2

Step-by-step explanation:

Determine the value of c:

y=ax²+bx+c

2=a(0)²+b(0)+c

2=c

Substitute (1,0) into the quadratic and create an equation with a and b:

y=ax²+bx+2

0=a(1)²+b(1)+2

0=a+b+2

-2=a+b

Do the same with (3,10) to get a second equation:

y=ax²+bx+2

10=a(3)²+b(3)+2

10=9a+3b+2

8=9a+3b

Set the two equations equal to each other and solve for a and b:

-2=a+b

8=9a+3b

Multiply first equation by 3 and eliminate b to find a:

-6=3a+3b

- (8=9a+3b)

_______

-14=-6a

14/6=a

7/3=a

Substitute 7/3=a into the first equation:

-2=7/3+b

-2-(7/3)=b

-13/3=b

Final equation:

y=7/3x²-13/3x+2

See the graph for a visual representation

7 0

3 years ago

Food costs are expected to rise 6% each month for the next year. which series correctly depicts the cost (to the nearest cent) f

maw [93]

Increment = 6% = 0.06
The explicit formula for the series is;
C(n) = C(n-1)(1.06), where n = nth month, C(n-1) = cost during previous month, C(n) = cost in month n

Applying the explicit formula;
Current cost = $150
2nd month cost = 150*1.06 = $159
3rd month cost = 159*1.06 = $168.54

The second option is correct.

3 0

3 years ago

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