Answer:
1/2
Step-by-step explanation:
Pick two points on the line
(2,0) and (4,1)
Use the slope formula
m= (y2-y1)/(x2-x1)
= (1-0)/(4-2)
= 1/2
Answer:
18.2%
Step-by-step explanation:
The total number of trees in the wood = 420 + 160 + 300
= 880 trees
∴ The percentage of the oak trees = 
=
%
=
%
= 18.181818...%
In 1 decimal place = 18.2%
Hope this helps!!
Answer: The required value of y is 19.
Step-by-step explanation: We are given to find the value of y in the solution to the following system of equations :

Comparing equations (i) and (ii), we get

From equation (i), we get

Thus, the required value of y is 19.
Well the y-intercept is +2
And the slope of the blue line is 1/2
So y=1/2x+2
Slope is rise/run (up then ((right)))
And the intercept is found where the line intercects the y line.
Answer:
The price where the manufacture sells the maximum number of toys is $20
Step-by-step explanation:
The given equation for that represents the number of toys the manufacturer can sell is given as follows;
T = -4·p² + 160·p - 305
Where;
p = The price of the toys in dollars
At the point where the manufacture sells the maxim number of toys on the graph of the equation T = -4·p² + 160·p - 305, which is the top of the graph, the slope = 0
Therefore, at the maximum point;
The slope = 0 = dT/dp = d(-4·p² + 160·p - 305)/dp = -8·p + 160
∴ -8·p + 160 = 0
160 = 8·p
8·p = 160
p = 160/8 = 20
The price where the manufacture sells the maximum number of toys is = p = 20 dollars