Answer:
a) -2 and 4
b) function 2
Step-by-step explanation:
a)
rate of change is rise over run: change in y / change in x.
function 1:
- i will use first 2 pairs of data
- change in y: 5 - 3 = 2
- change in x: -2 - (-1) = -1
-rate of change = 2/-1 = -2
function 2:
- same idea, but find two points on the graph!
- (0,4) and (-1,0) for example! pick easy points
- change in y is 4. chabge in x is 1
- rate of change is 4
b)
function b has greatest rate of change. 4 > -2
Answer:
Input:
(3 - 4 i) (5 + 6 i)
Result:
39 - 2 i
Polar coordinates:
r≈39.0512 (radius), θ≈-2.93567° (angle)
Position in the complex plane:
Position in the complex plane
Minimal polynomial:
x^2 - 78 x + 1525
ANSWER IS 39-2i
Step-by-step explanation:
P = $1,100
r = 7.25% = 0.0725
A= P(1+r)^t
⇒ 6600 = 1100(1+0.0725)^t
⇒ 6600/1100 = 1.0725^t
⇒ 1.0725^t = 6
Use log to solve it
log(1.0725^t) = log 6
⇒ t * log 1.0725 = log 6
⇒ t * 0.0303973 = 0.7781512
⇒ t = 0.7781512/0.0303973
⇒ t = 25.599 ≈ 25.60 years
The ratio of apple and cranberry juice is 4:5
The price of 1 pint of apple juice is $0.45
The price of 1 pint of cranberry juice is $0.08
from the ratio given, the price amount of apple juice in the mixture will be:
4/5×0.45=$0.36
the price amount of cranberry juice in the mixture will be:
1/5×0.08=$0.016
the price of the mixture will be given by:
0.36+0.016
=$0.376
0.50x=75
You will be able to sell 37.5 and if
You round it, it will be 38 cups of hot chocolate