The answer to this question is x= -3
Answer:
2(x + 5) = x - 2
⟹ x = -12
Step-by-step explanation:
Doubling the sum of 5 and a number is equal to the same number decreased by 2. What is the equation?
This word problem can be written as:
⟹ 2(x + 5) = x - 2
1. Distribute:
2(x) + 2(5) = x - 2
⟹ 2x + 10 = x - 2
2. Subtract x from both sides:
2x - x + 10 = x - x - 2
⟹ x + 10 = -2
3. Subtract 10 from both sides:
x + 10 - 10 = -2 - 10
⟹ x = -12
4. Check your work:
2(x + 5) = x - 2
2(-12 + 5) = -12 - 2
2(-7) = -20
⟹ -14 = -14 ✔
Learn more here:
brainly.com/question/17821973
Answer:
Demand is Elastic when Price > 200 ; Demand is inelastic when Price < 200
Step-by-step explanation:
p = 400 - 4x
4x = 400 - p
x = (400 - p) / 4 → x = 100 - p/4
Elasticity of demand [ P ed ] = (Δx / Δp) x (p / x)
Δx / Δp [Differentiating x w.r.t p] = 0 - 1/4 → = -1/4
P ed = <u>-1</u> x<u> p </u>
4 (400 - p)/4
= <u>-1</u> x <u> 4p </u> = -p / (400-p)
4 (400 - p)
Price Elasticity of demand : only magnitude is considered, negative sign is ignored (due to negative price demand relationship as per law of demand).
So, Ped = p / (400 - p)
Demand is Elastic when P.ed > 1
p / (400-p) > 1
p > 400 - p
p + p > 400 → 2p > 400
p > 400 / 2 → p > 200
Demand is inelastic when P.ed < 1
p / (400-p) < 1
p < 400 - p
p + p < 400 → 2p < 400
p < 400 / 2 → p < 200
