Answer:
y= -1/2x + 1/2
Step-by-step explanation:
First, use the point-slope formula: y-y1 = m(x-x1)
y-2 = -1/2(x-(-3))
y-2= -1/2x + -1.5
(subtract 2 from both sides)
y = -1/2x + 1/2
Answer:
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
b) The solution of the system is:
m = 2.5
p = 2.5
Step-by-step explanat:
It is desired to obtain 5 pounds of a mixture containing 40% peanuts and 60% almonds.
It has a mixture of 20% peanuts and 80% almonds.
p: number of pounds of peanuts
m = amount of mixture
The equation that represents the amount of peanut and mixture that is needed is:
p + m = 5 pounds
m = 5-p (i)
The amount of peanut in total that the mixture should have is:
p + 0.2m = 0.6 (5)
p + 0.2m = 3 (ii)
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
Now we substitute (i) in (ii) and clear p.
p + 0.2 (5-p) = 3
p-0.2p = 2
p = 2.5 pounds
Now we find m
m = 5 - 2.5
m = 2.5 pounds
b) The solution of the system is:
m = 2.5
p = 2.5
Answer:
The area of the rectangle is 20 square units
Step-by-step explanation:
Through the x values of the ordered pairs, we can see that the length of the rectangle is 5
Through the y-values of the ordered pairs, we can see that the width of the rectangle is 4
The area can be found by multiplying the length and width, so this means
Answer:
9. e^3
Step-by-step explanation:
