Where the line segment A starts is home
80 is 40% of 200 because 40%of 100 is 40. Common sense is just to double both values, also 200 x .40 (40%as a decimal) gives you the result of 80.
Answer:
83
Step-by-step explanation:
The nth term is
an=3n−7
.
30*3=90
90-7=83
so the 30th term would be 83
Answer:
- g = -1110p +4300.9
- 804 gallons
Step-by-step explanation:
a) Price is the independent variable, so the data we are given can be written as ...
(price, gallons) = (2.99, 982) and (2.79, 1204)
Using the 2-point form of the equation for a line, we have ...
g = (g2 -g1)/(p2 -p1)(p -p1) +g1
g = (1204 -982)/(2.79 -2.99)(p -2.99) +982
g = -1110(p -2.99) +982 = -1110p +4300.9
g = -1110p +4300.9
__
b) When p = 3.15, the predicted sales volume is ...
g = -1110(3.15) +4300.9 = 804.4
Weekly sales are predicted to be 804 gallons at a price of $3.15.
4(x + 3)² = 25(x - 2)²
Square root both sides:
2(x+ 3) = 5(x - 2)
Distribute 2 and 5:
2x + 6 = 5x - 10
Take away 2x from both sides:
6 = 3x - 10
Add 10 to both sides:
16 = 3x
Switch sides:
3x = 6
Divide both sides by 3:
x = 2
Answer: x = 2
