Answer:
p = ½ (x₁ + x₂)
q = a (x₁x₂ − ¼ (x₁ + x₂)²)
Step-by-step explanation:
y = a (x − x₁) (x − x₂)
Expand:
y = a (x² − x₁x − x₂x + x₁x₂)
y = a (x² − (x₁ + x₂)x + x₁x₂)
Distribute a to the first two terms:
y = a (x² − (x₁ + x₂)x) + ax₁x₂
Complete the square:
y = a (x² − (x₁ + x₂)x + ¼(x₁ + x₂)²) + ax₁x₂ − ¼ a(x₁ + x₂)²
y = a (x − ½ (x₁ + x₂))² + a (x₁x₂ − ¼ (x₁ + x₂)²)
Therefore:
p = ½ (x₁ + x₂)
q = a (x₁x₂ − ¼ (x₁ + x₂)²)
Answer:
$184.5
Step-by-step explanation:
so we know they are charging x hours for renting plus a flat rent fee of 32.5
r(x)= 9.5 x + 32.5
r(16)= 9.5 (16) + 32.5
r(16)= 152+ 32.5
r=$184.5
Answer:
Price Discrimination OR Law of Demand; according to the complete question.
Step-by-step explanation:
24% of the students in the first group answered yes.
73% of the students in the second group answered yes.
More students in the second group were willing to pay $75 for the pair of jeans BECAUSE they were told that the normal price was much higher.
From this information, I guess that the first group was told (by the jeans vendor probably) that the $75 was higher than the normal price of the jeans. This will be the reason why a lesser percentage of students in Group A are willing to purchase the pair of jeans.
This is an example of PRICE DISCRIMINATION effect on decision making. Price discrimination is used in product marketing.
The same pair of jeans in Situation A cost higher than the normal price while in Situation B it cost lower than the normal price. Even though the figure given is static at $75 in both cases, the data that follows in the question tells it as 2 different prices; one favourable to the buyers and another not so favourable to the buyers.
The LAW OF DEMAND also applies here. The higher the price, the lesser the quantity demanded (by a group of students) and the lower the price, the higher the quantity demanded.
I will say 1 block is 1 something okay cause I don’t have a key mini has an area of 2 (2x2=4/2=2) And the giant has an area of 32 (8x8=64/2=32) I don’t know if the small one became big or the big one became small so if the small to big is 16 big to small is 0.0625 or the numbers the other way around
Answer: 125.80 ft
Step-by-step explanation:
Asuming the described situation is as shown in the figure below, we need to find the distance 
between the kite and Jacks house, but first we need to find the 
, 
and then 
.
How?
We will use trigonometry, especifically the trigonometric functions sine and cosine:
For :
(1)
Where is the opposite side to the angle and 
the hypotenuse.
Isolating :
(2)
For :
(3)
Where is the adjacent side to the angle.
Isolating :
(4)
Finding :
(5)
(6)
Now that we have found these values, we have to work with a bigger triangle, where the hypotenuse is the distance between the kite and Jack's house and the sides are the values calculated in (4) and (6).
So, in this case we will use the <u>Pithagorean theorem</u>:
(7)
Isolating and writing with the known values:
(8)
(9)
This is the distance between the kite and the house
