using 3.14 for pi
area = pi x r^2
since he can see 12 miles in any direction 12 would be the radius
so 3.14 x 12^2 = 452.16 square miles
round the answer as needed.
The pattern they're looking for in the uppermost question is 0,2,6,14,30,62.
The second problem shows the Fibonacci sequence. Each number is the sum of the two numbers before it. So:
2,3,5,8,13,21,34
34 are the number of miles she'll run on Week 8.
The equation on the bottom right is M = 5p. The first two numbers in the function table are 25 and 50.
Answer:p = (2100 - x)/25
Step-by-step explanation:
According to the law of demand, when the price,p of the brand of MP3 players is is high, the quantity,x of the brand of MP3 players demanded would be low and when the price,p of the brand of MP3 players is is low, the quantity,x of the brand of MP3 players demanded would be high.
To derive the demand equation, we would apply the slope intercept form of equation which is expressed as
y = mx + c
Where
m = slope
c = intercept
The slope, m would be
(y2 - y1)/(x2 - x1)
Slope = (1100 - 100)/(40 - 80) = 1000/-40
Slope = - 25
To find the y intercept, we would substitute m = - 25, y = 1100 and x = 40 into y = mx + c. It becomes
1100 = - 25 × 40 + c
1100 = - 1000 + c
c = 1100 + 1000 = 2100
y = - 25x + 2100
Therefore, the demand equation is
x = - 25p + 2100
25p = 2100 - x
p = (2100 - x)/25
The "x-interept" is the point where the graph crosses the x-axis.
From here, it looks like this graph crosses the x-axis where x=2 .
So the point is <em>(2, 0)</em> .
That's choice-<em>A</em> .
Answer:
Step-by-step explanation:
vertex form of quadratic: y = a ( x − h ) ^ 2 + k
h= -2 , k = -2
y=a(x+2)^2-2
Substitute (-1,1)
1=a(-1+2)^2-2
a=3
y=3(x+2)^2-2
Expanding and give
y=3x^2+12x+10
