The circumference is 106.76.
C = dπ
Circumference is diameter times pi(pi equals 3.14)
34 x 3.14 = 106.76
The y-intercept occurs on a graph when x = 0. Therefore on a graph of y= ab^x when x = 0, y = ab^0 = 1. Therefore the y-intercept is at the point (0,1).
Hope this helps!
C. $34.50. A car gets 30 miles per gallon, if the gasoline cost $1.15 per gallon, a 900 miles trip will cost $34.50
This exercise can be solved by simply arithmetic.
Divide the total miles by the miles per gallon:
900/30 = 30
Then, multiply this value by the cost per gallon:
30 x $1.15 = $34.50
Consecutive integers are 1 apart
x,x+1,x+2
(x)(x+1)(x+2)=-120
x^3+3x^2+3x=-120
add 120 to both sides
x^3+3x^2+3x+120=0
factor
(x+6)(x^2-3x+20)=0
set each to zero
x+6=0
x=-6
x^2-3x+20=0
will yeild non-real result, discard
x=-6
x+1=-5
x+2=-4
the numbers are -4,-5,-6
use trial and error and logic
factor 120
120=2*2*2*3*5
how can we rearange these numbers in (x)(y)(z) format such that they multiply to 120?
obviously, the 5 has to stay since 2*5=10 which is out of range
so 2*2*2*3 has to arrange to get 3,4 or 4, 6 or 6,7
obviously, 7 cannot happen since it is prime
3 and 4 results in in 12, but 2*2*2*3=24
therfor answer is 4 and 6
they are all negative since negaive cancel except 1
the numbers are -4,-5,-6