There is no question.
For lines are parallel, graphs : they must have same gradients as every points. Geometry: prove using alternate angles, corresponding angles or interior angles
For lines are perpendicular, graphs: their gradients multiply to give -1. Geometry: they form a right angle
Answer:
0.83333333
Step-by-step explanation:
since usually if a dice is rolled 6 times. the probability of rolling a three would be 1/6th as there are even sides on a dice and even probabilities. You would divide 5 by 6 instead of 6 by 6 meaning that the probability is 0.83333 recurring
3x^2 - 2x^2y + 2xy^2 + 4y^2 + xy^2 - y^2 + 2x^2y
= 3x^2 + 3y^2 + 3xy^2
answer
3x^2
3y^2
3xy^2
Answer:
DG = 17
Step-by-step explanation:
DG and EF are similar so sides are same.
2x - 7 = x + 5
2x - x = 5 + 7
x = 12
So DG = 2x - 7
= 2(12) - 7
= 24 - 7
= 17
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
