Answer: A) intercepts: zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4
B) average slope: ≈50, about $50 increased profit for each $1 increase in price.
Step-by-step explanation:
A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.
The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Obviously profit is increasing with price for x < 4, and is decreasing with price for x > 4.
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B) We read the value of f(1) from the graph to be about 120, so the average rate of change is about ...
(f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50
The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.
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* If we take the peak profit to be $270, we can write f(x) as ...
f(x) = 16.875x(x -8)
Then f(1) = 118.125 and the average rate of change is 50.625. For the purpose here, we judge the extra precision to be pointless.
Step-by-step explanation:
$6.060606- because in this situation she has $10 and the rate is $1.65 with no additional rate or fee.
So you would need to do 10/1.65 and round it down to find the whole or keep the decimals to get an exact answer
Answer:6.060606
The sum of three consecutive integers is three times the middle one: if we call the middle one 
, the three numbers are
So, their sum is 
Which is three times the middle one.
So, if the sum of three consecutive intergers is 48, the middle one must be 48/3 = 16.
So, the three numbers are 15, 16 and 17
Answer:
Option (1)
Step-by-step explanation:
From the triangles given in the picture,
Since, JK ≅ KL [Given]
JM ≅ ML [Given]
KM ≅ KM [Reflexive property of congruence]
ΔJMK ≅ ΔLMK [SSS property of congruence]
Therefore, ∠JKM ≅ ∠LKM [CPCTC]
(2x + 5) = (3x - 6)
3x - 2x = 5 + 6
x = 11
m∠JKL = m∠JKM + m∠LKM
= (2x + 5) + (3x - 6)
= 5x - 1
= 5(11) - 1
= 54
Option (1) will be the answer.
Answer:
The largest angle is A + 5 = 117.5 + 5 = 122.5 degree.
Step-by-step explanation:
The sum of the interior angles of a regular hexagon is 720 degree.
Let the one angle is A.
So,
A + A + 1 + A + 2 + A + 3 + A + 4 + A + 5 = 720
6 A + 15 = 720
6 A = 705
A = 117.5
The largest angle is A + 5 = 117.5 + 5 = 122.5 degree.
