R=[(-1)(A/1)]-t+P > explanation > P=(A/1)+rt > subtract "r" from both sides to
get > P-r=(A/1)+t > then subtract "P" from both sides to get > -r=(A/1)+t-P >
then multiply the whole equation by "-1" to make "r" positive > (-1){-r=(A/1)+t-P}
> r=[(-1)(A/1)]-t+P .................. if this was not the answer then I'm sorry ... <3
Answer:
(- ∞, 4 ]
Step-by-step explanation:
To determine the range we require the coordinates of the vertex
The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.
To obtain the zeros, equate f(x) to zero, that is
-(x + 5)(x + 1) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x + 1 = 0 ⇒ x = - 1
= 
= 
= - 3
Substitute x = - 3 into f(x) for corresponding value of y
f(- 3) = - (- 3 + 5)(- 3 + 1) = - (2)(- 2) = 4
Vertex = (- 3, 4)
Since a = - 1 then vertex is a maximum, hence
range is (- ∞, 4 ]
Answer:
9 socks for $8
3 socks at $15
Step-by-step explanation:
117 = (15 * x) + (8 * y)
8*9 = 72
15 * 3 = 45
72+ 45 = 117
9 socks at $8
3 socks at $15
Answer:
200 m s^-2.
133.33 ms^-2.
100 m s^-2.
Step-by-step explanation:
Use Newton's Second Law of motion:
Force = mass * acceleration
The force is in Newtons so the mass must be in kilograms#
100 g = 0.1 kg. So:
20 = 0.1 * a
a = 20/ 0.1 = 200 m s^-2.
We calculate the acceleration for the 150g and 200g potato in the same way.
Answer:
1.09 $
Step-by-step explanation:
From 1990 to 2000 ( 10 years ) the consumer price index increased from
130.7 to 172.2 then
172,2 - 130.7 = 41.5 % was the net increase, if peaches suffered similar increase then we will look for 41.5 % of peaches price ( 1990)
0,77 ⇒ 100
x ?? ⇒ 41.5
x = 0,77* 41,5 / 100
x = 0,3196
Then price of a pound peaches in 2000 will be
0,77 + 0,32 = 1.09 $
