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labwork [276]
4 years ago
13

Let f(x)=(x+2)2.

Mathematics
2 answers:
AnnyKZ [126]4 years ago
8 0
Since you are essentially multiply the y value of f(x) by 3, you are stretching it vertically by a factor of 3.
Ksenya-84 [330]4 years ago
3 0

Answer:

A. It is stretched vertically by a factor of 3.

Step-by-step explanation:

Given are two functions

f and g

f(x) = (x+2)^2

i.e. f is a parabola with vertex at (-2,0) open up

g(x) = 3(x+2)^2

This is also a parabola with vertex at (-2,0) open up

g(x) = 3 f(x)

This means f(x) is smaller vertically than g(x)

Or f(x) is stretched vertically by a factor of 3 to get g(x)

Hence option A is true.

A. It is stretched vertically by a factor of 3.

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The marginal price per pound (in dollars) at which a coffee store is willing to supply x pounds of Jamaican Blue Mountain coffee
il63 [147K]

Answer:

Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.

Step-by-step explanation:

We are given the following information in the question:

The marginal price per pound (in dollars) is given by:

p'(x) = \displaystyle\frac{208}{(x+7)^2}

where x is the supply in pounds.

P(x) = \displaystyle\int p'(x)~dx =\displaystyle\int\displaystyle\frac{208}{(x+7)^2}~dx\\\\P(x) = \frac{-208}{(x+7)} + c\\\\\text{where c is the constant of integration.}

The coffee shop is willing to supply 9 pounds per week at a price of $7 per pound.

Thus, we are given that

P(9) = 7

Putting the values, we get,

P(x) = \displaystyle\frac{-208}{(x+7)} + c\\\\P(9) = 7\\\\\displaystyle\frac{-208}{(9+7)} + c = 7\\\\c = 7 + \frac{208}{16} = 20

P(x) = \displaystyle\frac{-208}{(x+7)} + 20

Now, we have to find how many pounds it would be willing to supply at a price of $4 per pound.

P(x) = 4

P(x) = \displaystyle\frac{-208}{(x+7)} + 20 = 4\\\\\frac{-208}{x+7} = -16\\\\x + 7 = 13\\x = 6

Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.

3 0
3 years ago
Round 1231.50432 to the nearest tenth
Verizon [17]

Answer:

1231.5

Step-by-step explanation:

I hope this help.

5 0
3 years ago
The measure of the​ angle's supplement is 60
Sever21 [200]

Answer:

80°

Step-by-step explanation:

Let the angle be x then four times it's complement plus 60, that is

4(90 - x) + 60 ← is it's supplement

Supplementary angles sum to 180°

Sum the angle and it's supplement and equate to 180

x + 4(90 - x) + 60 = 180 ← distribute and simplify left side

x + 360 - 4x + 60 = 180

- 3x + 420 = 180 ( subtract 420 from both sides )

- 3x = - 240 ( divide both sides by - 3 )

x = 80

The required angle = x = 80°

supplement = 4(90 - 80) + 60 = 4 × 10 + 60 = 40 + 60 = 100°

4 0
3 years ago
What property is this ?<br><br> a + (b + c) = (a + b) + c
aev [14]
Associative property
4 0
3 years ago
Read 2 more answers
Select the correct answer from each drop-down menu. The table lists the speeds of the fastest roller coasters in North America a
dangina [55]

Answer:

the answer is

6.41

12.78

17.226

Step-by-step explanation:

7 0
3 years ago
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