Answer:
the transformed function becomes: g(x) = 5 x - 30
Step-by-step explanation:
When the function f(x) = x is shifted down by a factor of 6 we have the following transformation:
f(x) --> x - 6
After this, a vertical stretch by a factor of 5 should affect the full functional expression in the following way:
5 ( x - 6) = 5 x - 30
Therefore the transformed function becomes: g(x) = 5 x - 30
The cost of the dozen of bagels at the local bakery is 2.99 dollars. Now, we need to find the unit rate per bagel - meaning, find the price of each bagel if the dozen of it costs 2.99 dollars=> 1 dozen is equals to 12 pieces.now, if the 12 pieces of the bagel is 2.99 dollars, how much will each of the bagel costs?=> 2.99 dollars / 12 pieces=> 0.25 dollars / bagel - that is the unit rate that we were looking. Each bagel cost 0.25 dollars, that makes it 2.99 dollars for 1 dozen<span>
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$22.87. Now, if you wanna add a 10% tip, it's $25.16
Answer:
P' = (2, -2)
Step-by-step explanation:
You have the x-value and the y-value of the pre-image, so all you have to do is plug that into the translation statement (x + 9 , y - 3).
Since x = -7 and y = 1 that would be (-7 + 9, 1 - 3), or (2, -2).
Answer:
(A) 100 (in thousands)
(B) 180 (in thousand dollars)
Step-by-step explanation:
Given:
profit function as P(q) = -0.02q² + 4q - 20
where,
q is the number of thousands of pairs of sunglasses sold and produced,
P(q) is the total profit in thousands of dollars
To find the point of maxima differentiating the above equation and equating it to zero
P'(q) = - (2)0.02q + 4 - 0 = 0
or
⇒ - 0.04q + 4 = 0
or
⇒ - 0.04q = - 4
or
⇒ q = 100
Hence,
(A) 100 pairs of sunglasses (in thousands) should be sold to maximize profits
(B) Substituting the value of q in the profit function to calculate the actual maximum profit
P(q) = -0.02(100)² + 4(100) - 20
or
P(q) = - 0.02(10000) + 400 - 20
or
P(q) = - 0.02(10000) + 400 - 20
or
P(q) = 180 (in thousands dollar)
