The P - intercept of the equation is 28
Solution:
Given equation models the relation between amount of Randy's monthly water bill payment and number of units of water used
P = 28 + 2.54w
Where,
"P" is the monthly water bill payment in dollars
"w" is the number of units of water used
Compare this equation with slope intercept form
Slope intercept form: y = mx + c
Where "m" is the slope of line and "c" is the y intercept
Therefore in given equation, P = 28 + 2.54w
2.54 is the slope and 28 is the P - intercept
The slope, 2.54, means that Randy’s payment increases by $2.54 when the number of units of water he used increases by 1
When "w" increases by 1 , then P increases by $ 2.54
The P –intercept means that if the number units of water Randy used was 0, the payment would be $28
When w = 0 ,
P = 28 + 0
P = $ 28
Thus the P - intercept determines the monthly payment bill
Answer:
The slope, 2.54, means that Randy's monthly water bill payment increases by 2.54 dollars for each unit of water used.
Answer:
3.
Step-by-step explanation:
This is a geometric series so the sum is:
a1 * r^n - 1 / (r - 1)
= 1 * (2^101 -1) / (2-1)
= 2^101 - 1.
Find the remainder when 2^101 is divided by 7:
Note that 101 = 14*7 + 3 so
2^101 = 2^(7*14 + 3) = 2^3 * (2^14)^7 = 8 * (2^14)^7.
By Fermat's Little Theorem (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.
So 2^101 mod 7 = (8 * 4^7) mod 7
= (8 * 4) mod 7
= 32 mod 7
= 4 = the remainder when 2^101 is divided by 7.
So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..
Answer and Step-by-step explanation:
1 and 12
2 and 6
3 and 4
A rectangle with each of these dimensions will have an area of 12, your welcome :)
A.
(3, 1), (9, –1), (7, –4), and (1, –2)
B.
(3, 1), (9, –1), (7, 0), and (1, –2)
C.
(3, 5), (9, 3), (7, 0), and (1, 2)
D.
(1, 7), (7, 5), (5, 2), and (–1, 4)