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IgorC [24]
3 years ago
13

Let f(x) = 4x + 3

Mathematics
1 answer:
docker41 [41]3 years ago
7 0

Answer: f(x) = 4x + 3

g(x) = -2x + 5

(f · g)(5) = (4(5) + 3)(-2(5) + 5)

(f · g)(5) = (20 + 3)(-10 + 5)

(f · g)(5) = (23)(-5)

(f · g)(5) = -115

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The function = 3describes the volume of a cube, , in cubic inches, whose length, width, and height each measure inches. Find the
kolezko [41]

The correct structure of the question is as follows:

The function f(x) = x^3 describes a cube's volume, f(x) in cubic inches, whose length, width, and height each measures x inches. If x is changing, find the (instantaneous) rate of change of the volume with respect to x at the moment when x = 3 inches.

Answer:

Step-by-step explanation:

Given that:

f(x) = x^3

Then;

V = x^3

The rate whereby V is changing with respect to time is can be determined by taking the differentiation of V

dV/dx = 3x^2

Now, at the moment when x = 3;

dV/dx = 3(3)^2

dV/dx = 3(9)

dV/dx = 27 cubic inch per inch

Suppose it is at the moment when x = 9

Then;

dV/dx = 3(9)^2

dV/dx = 3(81)

dV/dx = 243 cubic inch per inch

6 0
2 years ago
A regular octagonal pyramid. Each side of the base is 6 cm long. it has a height of 10cm. Find the surface area of the pyramid​
attashe74 [19]

9514 1404 393

Answer:

  470.16 cm²

Step-by-step explanation:

The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.

The apothem of the base for side length s is ...

  s/2 = a·tan(π/8)

  a = s/(2·tan(π/8)) ≈ 7.24 cm

The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...

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  x ≈ √152.46 ≈ 12.35

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The area of the 8 triangular faces will be ...

  A = 1/2Px . . . . where P is the perimeter of the pyramid

The area of the base will be ...

  A = 1/2Pa

So, the total surface area is ...

  A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²

8 0
3 years ago
Read 2 more answers
Determine the smallest possible value if 10500 is a perfect square a perfect square<br>​
Sidana [21]
The smallest possible value is 2625
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3 years ago
The first time that Arnold ran for mayor in a small town, he received 5% of the votes. This year, when Arnold ran for mayor agai
sammy [17]

Answer:

20 votes

Step-by-step explanation:

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Your Welcome :)

6 0
2 years ago
If you have a chance to win $500 for drawing a card of 10 of any suit from a standard deck of cards, what is the value of expect
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