Answer:
Step-by-step explanation:
range of f(x) ={y|y>-4}
The answer is
60% rise in quantity demanded of good x.
Explanation:
Percentage change in quantity demanded for good Y:
= (Change in Quantity ÷ Initial Quantity) × 100
= (60 units ÷ 400 units) × 100
= 15%
Percentage change in price of good Y = 10% Rise
Therefore, the price elasticity of demand for Good Y is as follows:
= Percentage change in Quantity demanded ÷ Percentage change in price
= 15 ÷ 10
= 1.5
Hence,
Price elasticity of demand of good x:
= 2 × price elasticity of demand of good y
= 2 × 1.5
= 3
Percentage change in price of good x:
= (Change in price ÷ Initial price) × 100
= (2 ÷ 10) × 100
= 20%
Therefore,
Price elasticity of demand for Good x = Percentage change in Quantity demanded ÷ Percentage change in price
3 = Percentage change in Quantity demanded ÷ 20
3 × 20 = Percentage change in Quantity demanded
60% = Percentage change in Quantity demanded for good x
Hence, 60% rise in quantity demanded of good x.
Answer:
Angle 8 = 84 degrees
Angle 5 = 96 degrees
Step-by-step explanation:
Angle 8 = 84 degrees because Angle 2 and Angle 8 are inside opposite which makes them equivalent.
Angle 5 = 96 degrees because 180-84=96
Answer:
The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the <u>line y = x</u> and a translation <u>10 units right and 4 units up</u>, equivalent to T₍₁₀, ₄₎
Step-by-step explanation:
For a reflection across the line y = -x, we have, (x, y) → (y, x)
Therefore, the point of the preimage A(-6, 2) before the reflection, becomes the point A''(2, -6) after the reflection across the line y = -x
The translation from the point A''(2, -6) to the point A'(12, -2) is T(10, 4)
Given that rotation and translation transformations are rigid transformations, the transformations that maps point A to A' will also map points B and C to points B' and C'
Therefore, a sequence of transformation maps ΔABC to ΔA'B'C'. The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, which is T₍₁₀, ₄₎
ANSWER
EXPLANATION
We want to simplify;
First expand the parenthesis, to obtain;
Next, group similar terms to get,
Combine the similar terms to get,
