For question number 1, the correct answer would be the x coordinate would be the same, or will not change.
For question number 2, the correct answer would be (-4,-7)
For question number 3, the correct answer would be <span>A'(5, -3), B'(2, -1), C'(-2, -4)
For question number 4, the correct answer would be </span><span>R'(-3, 2), S'(-5, -2), T'(-6, 0)
If you have any questions, just ask. ;)</span>
Answer:
(a) - 25 boxes per dollar
(b) - 20 boxes per dollar
Step-by-step explanation:
Given that,
Consumer's willing to buy boxes of nails at p dollars per box:
N(p) = 80 - 5p^{2}
(a) Change in price from $2 to $3.
N(2) = 80 - 5(2)^{2}
= 80 - 20
= 60
N(3) = 80 - 5(3)^{2}
= 80 - 45
= 35
Therefore, the average rate of change of demand is
= [N(3) - N(2)] ÷ (3 - 2)
= 35 - 60
= - 25 boxes per dollar.
(b) N(p) = 80 - 5p^{2}
Now, differentiating the above function with respect to p,
N'(p) = -10p
Therefore, the instantaneous rate of change of demand when the price is $2 is calculated as follows:
N'(p) = -10p
N'(2) = -10 × 2
= -20 boxes per dollar
2 tsp for 4 cups flour
1 tsp for 2 cups
For 10 cups it would be 5tsp
Answer:
2x^5-10x^4-8x^3
Step-by-step explanation:
2x^3 ( x^2 - 5x-4)
Distribute
2x^3 * x^2 - 2x^3 -5x -2x^3 *4
2 x^(3+2) - 10 x^(3+1) - 8x^3
2x^5-10x^4-8x^3
Answer:
up the price will go up making the x value go up
