Answer:
50 degrees
Step-by-step explanation:
because the total angles of the triangle must equal 180
Answer:
vertical opposite angles are always equal
= 143°
co-interior angles are supplementary ( 180° )
∴ x = 180 - 143 = 37
∴ x = 37°
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Answer:
45x^2
Step-by-step explanation:
(45+x)(1+x)
Solution
( − 2)(3 + 5)
Step-by-step solution:
Use the sum-product pattern
3x^2−−10
3^2+5−6x−10
Common factor from the two pairs
3^2+5−6−10
(3+5)−2(3+5)
Rewrite in factored form
(3+5)−2(3+5)
(−2)(3+5
hope this was good! <3
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
