Answer:
Equation: y = 65x
Randomly pick a x and y value and plug into above equation, if they don't equal then the x and y you've picked cannot be on this table.
Step-by-step explanation:
Pick any two points to find slope, let's got with (3, 195) and (4, 260):
slope m = (y₂- y₁) / (x₂ - x₁)
= (260 - 195) / (4 - 3)
= 65 / 1
m = 65
Find y-intercept by using m from above and another point from your table, let's go with (5, 325):
y = mx + b
325 = 65(5) + b
325 = 325 + b
b = 0
Use m and b to form equation of line:
y = mx + b
y = 65x + 0
y = 65x
Check:
point (3, 195): 195 = 65(3) ====> 195 = 195
point (4, 260): 260 = 65(4) ====> 260 = 260
point (5, 325): 325 = 65(5) ====> 325 = 325
point (6, 390): 390 = 65(6) ====> 390 = 390
Example of a point that doesn't belong on table:
point (8, 500): 500 = 65(8) ====> 500 ≠ 520
Find the MPH of the boat when it goes upstream... 3h / 6m = 1h / 2m
So, 2mph
Speed of the boat - current = 2mph - > x - y = 2
Find the MPH of the boat going downstream... 3h / 18m = 1h / 6m
So, 6mph
x + y = 6
We now have a system of equation, let's solve it!
x - y = 2 -> x = y + 2
x + y = 6 - > (y + 2) + y = 6 -> 2y + 2 = 6 -> 2y = 4 -> y = 2
This is the speed of the current!
Subtitute y = 2 in the first equation:
x - 2 = 2
x = 4
This is the speed of the boat
Rate of the current = 2mph
Rate of the boat in still water = 4mph
The question is incomplete. Here is the complete question:
During ski season,the owner of ski shop has determined that the number of customers in a day is greater than or equal to 50 more then the temperature(Fahrenheit)
. Write an inequality for the problem and determine the constraints on the variables.
Answer:
Step-by-step explanation:
Let the number of customers be 'N' and the temperature in Fahrenheit be 'T'.
Given:
Number of customers is related to temperature in Fahrenheit as:
Number of customers is greater than or equal to 50 more than the temperature in Fahrenheit. This means,
Now, since 'N' represents number of customers and number can never be a negative quantity. So, the only constraint for this inequality is that the number of customers must be greater than or equal to 0.
So, 
Answer:
△ABC is congruent to △DEF
Step-by-step explanation:
△DEF is a reflection of △ABC across the y-axis. (Each x-coordinate is negated.)
_____
<em>Comment on presentation</em>
This would be much easier to answer if you would use a conventional representation of ordered pairs:
... (-1, -2) instead of "begin ordered pair negative 1 comma negative 2 end ordered pair"
Answer:
55 m²
Step-by-step explanation:
The arc length of a half-circle is πr, so the area of the curved surface is ...
A = πrl = π(2.5 m)(7 m) = 17.5π m² ≈ 55 m²
