First we need to find where the 2 graphs intercept.
x^2 + 3 = - (x^2 - 4x + 4) + 7
x^2 + 3 = -x^2 + 4x + 3
2x^2 - 4x = 0
2x(x - 2)
x = 0 , 2. are x coordinates of the 2 intercepts.
Answer:
1 5/12
Step-by-step explanation:
4 1/4- 2 5/6= 1 5/12
Also 1 5/12+ 2 5/6= 4 1/4
The explicit formula for arithmetic sequence is:
an=a+(n-1)d
where:
a=first term
d=common difference
given:
a3=22
a(17)=-20
substituting this in our equation we get:
22=a+(3-1)d
22=a+2d
a=22-2d........i
also:
-20=a+(17-1)d
-20=a+16d.....ii
but substituting i in ii we get:
-20=22-2d+16d
-20-22=14d
-42=14d
d=-3
but:
a=22-2d
a=22-2(-3)
a=28
thus the formula will be:
an=28-3(n-1)
thus the first term will be 28
the 2nd term will be:
a2=28-3(2-1)
a2=25
the 3rd term will be:
a3=28-3(3-1)
a3=28-6
a3=22
a4=28-3(4-1)
a4=28-9
a4=15
a5=28-3(5-1)
a5=28-3(4)
a5=28-12
a5=15
97.45 / 5 = 19.49 per gallon
and then there is 21.95 per gallon
the better deal would be the 5 gallon bucket for 97.45 because if u buy it this way, it is cheaper by the gallon
1. 1,2,3,6
2. 1,3,9
3. 1,2,5,10
4. 1,2,3,4,6,12
5. 1,3,7,21
6. 1,2,3,6,9,18
7. 8,16
8. 1,5,25
9. 1,31
10. 3x3
11. 5x5
12. 2x2x2
13. 14 is a composite number
14. 2x2x2
15. 3x5
16. 5 is a prime number
17. 20 is a composite number
18. 2x13
