Answer:
Step-by-step explanation:
This is consider a linear pattern (arithmetic pattern).
We know this because it is either going up or down by the same number each time. It's going down by 10 in this case.
So -10 is the slope of this linear pattern.
The equation for a linear pattern is:
y=mx+b
where x represents the position the term is in
and
where y represents the actual term
and
where m is the slope
So we have y=-10x+b.
(x,y)
(term position in sequence, actual term)
(1,140)
(2,130)
(3,120)
(4,110)
We can find b by using a number with it's position in the sequence (that is plug in one of your points above).
y=-10x+b
140=-10(1)+b
140=-10+b
150=b (after adding 10 on both sides)
The explicit equation for the sequence is y=-10x+150.
They probably prefer you to write: instead.
P^2 + 4p = 1
(p + 2)^2 - 4 = 1
(p+2)^2 = 1 + 4 = 5
p+2 = +/- sqrt5
p = +/- sqrt5 - 2 Answer
Answer:
56 miles
Step-by-step explanation:
We need to sum all the terms in the series to determine how many miles Jeff ran
5+6+7+8+9+10+11
11+7+8+9+10+11
18+8+9+10+11
26+9+10+11
35+10+11
45+11
56
Answer:
the expected no of foxes that are immediately followed by a Hound is 14/55
Step-by-step explanation:
P(foxes)= 4/11 p(hounds)=7/11
the expected no of foxes that are immediately followed by a Hound.
= 4/11* 7/10
=14/55