Im not able to make a distance-time graph, since they don't have a graphing app but I've done this type of problem.
They walked the same distance.
You: 1.5x8=12
Friend: (2x4)+(1x4)=12
Answer:
a) 5<x<25
b) x≤5 or x≥25
c) x≥5 and x≤25
Step-by-step explanation:
Given the expression the
(x - 5) (50 - 2x) to represent sofie profit based on the price per scarf, x.
a) If Sofie's profit is increasing, them the expression for her profit must be greater than zero as shown.
(x - 5) (50 - 2x)> 0
Solving the inequality:
x-5>0 and 50-2x>0
If x-5>0
x > 5 or 5<x... (1)
Similarly when 50-2x>0
50-2x>0
50>2x
Dividing both sides by 2:
50/2>2x/2
25>x or x<25 ...(2)
Combining 1 and 2
5<x<25
b) if Sofie's profit is decreasing, the profit function must be less than or equal to zero as shown;
(x - 5) (50 - 2x)≤0
Solving the inequality
x-5≤0 and 50-2x≤0
x≤5 and 50≤2x
x≤5 or 25≤x
x≤5 or x≥25
c) If Sofia is not making profit then, the function (x - 5) (50 - 2x) is equal to zero i.e
(x - 5) (50 - 2x) = 0
x - 5 = 0 or 50-2x =0
x = 5 and 50 = 2x
x = 5 and x = 25
x≥5 and x≤25
Because pemdas helps you not get the process wrong
30=−5(m+6)+m
Step 1: Simplify both sides of the equation.
30=−5(m+6)+m
30=(−5)(m)+(−5)(6)+m(Distribute)
30=−5m+−30+m
30=(−5m+m)+(−30)(Combine Like Terms)
30=−4m+−30
30=−4m−30
Step 2: Flip the equation.
−4m−30=30
Step 3: Add 30 to both sides.
−4m−30+30=30+30
−4m=60
Step 4: Divide both sides by -4.
−4m
−4
=
60
−4
m=−15
Answer:
m=−15
