Answer:
y = 9/5x +12/5
Step-by-step explanation:
First find the slope using the two points
(2,6) and (-3,-3)
m = ( y2-y1)/(x2-x1)
= (-3-6)/(-3-2)
= -9/-5
= 9/5
Using the slope intercept form of the line
y = mx+b where m is the slope and b is the y intercept
y = 9/5x +b
Using one of the points and substituting for x and y
6 = 9/5(2) +b
Getting a common denominator
30/5 = 18/5+b
30/5 -18/5 = b
12/5 = b
y = 9/5x +12/5
Answer:
58
Step-by-step explanation:
Answer:
Price per pound for cashews = $7
Price per pound for peanuts = $4
Step-by-step explanation:
Let,
x be the price per pound of cashews
y be the price per pound of peanuts
According to given statement;
4x+2y=36 Eqn 1
7x+6y=73 Eqn 2
Multiplying Eqn 1 by 3
3(4x+2y=36)
12x+6y=108 Eqn 3
Subtracting Eqn 2 from Eqn 3
(12x+6y)-(7x+6y)=108-73
12x+6y-7x-6y=35
5x=35
Dividing both sides by 5
Putting x=7 in Eqn 1
4(7)+2y=36
28+2y=36
2y=36-28
2y=8
Dividing both sides by 2
y=4
Hence,
Price per pound for cashews = $7
Price per pound for peanuts = $4
Prime numbers > than 5 are 7, 11, 13, 17, and 19 so 5/20, or 1/4, or 25% chance
Answer:
r = 2
Step-by-step explanation:
nth term of a geometric sequence = .
Where,
a = first term, r = common ratio,
We are given that, the 11th term is 32 times larger than the 6th term of the geometric sequence. Thus:
the 6th term can be expressed as
The 11th term is expressed as
Since the 11th term is 32 times larger than the 6th term, therefore, the following equation can be derived to find the common ratio, r, of the sequence:
, therefore:
Divide both sides by ar⁵
Common ratio = 2