Sofie makes and sells scarves. Her profit depends on what price she charges for a scarf

She writes the expression
(x - 5) (50 - 2x) to represent her profit based on the price per scarf, x

Drag inequalities to the table to
match the description in each row.

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

answer: this doesnt make any sense especially the photo.

step-by-step explanation:

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.