Answer:
Step-by-step explanation:
If Avery wants the amount of dark chocolate (d) to be 10 kg higher than the amount of milk chocolate (m), then the following relationship must be true:
If the total amount of chocolate must equal 150 kg, then:
The system of equations that represent this situation is:
The slope-intercept form:
m - slope
b - y-intercept
The formula of a slope:
substitute the coordinates of the points (8, 0) and (20, 12) to the formula:
y = 1x + b = x + b
Put the coordinates of the point (8, 0) to the equation of a line:
0 = 8 + b <em>subtract 8 from both sides</em>
-8 = b
<h3>Answer: y = x - 8</h3>let the two numbers be x and y
From the first sentence,
xy=24
x+y=10
Then make y in equation 2 the subject of the formular and substitute in equation 1
x+y=10
y=10-x
substituting in equation 2
x(10-x)=24
open the bracket
10x-x^2=24
=-x^2+10x=24
Transfer the constant to the left hand side
=-x^2+10x-24=0
Then factorise completely
Look at the photo above
