Best Answer:<span> </span><span>I'll make one up and explain how to do it.
Lets say your two points are (2,6) and (-4,7)
To start with you need to use the point-slope formula which is y2-y1/x2-x1
Remember (x,y), Thus we have
7-6/-4-2 = 1/-6; So out slope is -1/6
Now lets use the following equation y = mx+b to solve for b which is the y-intercept. By substitution of either order pair we can solve for b
6 = 2(-1/6)+b; distribute the 2
6 = -2/6+b; add 2/6 to each side to isolate b
6+2/6 = b; put 6 over 1
6/1+2/6 = b; get a common denominator between 6/1 and 2/6 which is 6
6(6/1)+2/6 = b ; distribute
36/6+2/6 = b; add these up
38/6 = b; reduce to lowest terms by dividing by 2 to each
19/3 = b
So our final equation is y = -1/6x+19/3 </span>
A.) P(t) = 130t - 0.4t^4 + 1200
The population is maximum when P'(t) = 0
P'(t) = 130 - 1.6t^3 = 0
1.6t^3 = 130
t^3 = 81.25
t = ∛81.25 = 4.3 months.
Maximum population P(t)max = 130(4.3) - 0.4(4.3)^4 + 1200 = 1,622
b.) The rabbit population will disappear when P(t) = 0
P(t) = 130t - 0.4t^4 + 1200 = 0
t ≈ 8.7 months
Answer:
x + 3200 greater than or equal to 10000
Step-by-step explanation:
you need 6800 more
Answer:
2 paintings per hour
Step-by-step explanation:
4paintings/ 2 hours= 2 paintings per hour
Step-by-step explanation:
Given the equation that represents this order expressed as;
The number of tiles = 12b + 38 where;
b is the the number of bundles ordered
If a customer needs 150 tiles, the total number of bundles ordered can be gotten by simply substituting The number of tiles into the modeled equation and find the value of b. This is as shown below;
On substituting;
150 = 12b + 38
12b = 150 - 38
12b = 112
b = 112/12
b = 9.33
b ≈ 9 bundles
We need to round up the problem because the number of tiles can not be in fraction but as whole numbers.
