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Aleks [24]
3 years ago
5

If f(x) = 3x - 9 and g(x) = x², what is (gºf)(5)?​

Mathematics
1 answer:
Xelga [282]3 years ago
3 0

Answer:

36

Step-by-step explanation:

Here, f(x) is the input to g(x), forming a composite function.

To evaluate  (gºf)(5),

1) find the value of f(5).  It is f(5) = 6.

2) Use this result as the input to g(x):  g(6) = (6)^2 = 36

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katrin [286]

Answer:

3rd option

Step-by-step explanation:

use hypotenuse method

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3 years ago
A rectangular box with a square base is open at the top and has a volume of 12 cubic feet. Each side of the base has a length of
Stolb23 [73]

We know that the side lengths of the square base are: x * x. The volume is 12, so for now, let's say that y is the other side length. Then, x * x * y = 12. We can solve for y: y = 12/x^2. Now, we find the surface area of the 5 sides.

Four of the sides have the same area: x * (12/x^2) = 12/x, so we multiply this by 4: 48/x.

The last side is the base: x * x = x^2.

We add 48/x to x^2:

x^2 + 48/x

So, the answer is the fourth choice, (d).

4 0
3 years ago
Please answer fast The vertices of a rectangle are located at the coordinates (1, 4), (1, 5), (6, 5),
hammer [34]

Answer:

See below ~

Step-by-step explanation:

<u>Drawing the rectangle</u> (Refer attachment)

<u>Horizontal sides</u>

  • There are two x-values present : 1 and 6
  • Find the difference
  • 6 - 1 = 5
  • The horizontal sides of the rectangle are <u>5</u> units long

<u>Vertical sides</u>

  • Two y-values are present : 4 and 5
  • Find the difference
  • 5 - 4 = 1
  • The vertical sides of the rectangle are <u>1</u> unit long

<u>Perimeter</u>

  • 2(Horizontal side + Vertical side)
  • 2(5 + 1)
  • 2(6)
  • 12
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3 0
2 years ago
A polynomlal has been factored, as SHOWI Deluw.
Tom [10]

Answer:

The zeros are 6,-5,9

Step-by-step explanation:

The factored form of the polynomial is given as:

f(x) = (x - 6)(x + 5)(x - 9)

To find the zeros of this function, we set f(x)=0 and solve for x.

(x - 6)(x + 5)(x - 9) = 0

This implies that:

(x - 6) = 0 \: or \: (x + 5) = 0 \: or \: (x - 9) = 0

We solve for x to get:

x  = 6 \: or \: x  =  -  5  \: or \: x =  9

The zeros are 6,-5,9

3 0
3 years ago
What is 3,542 divide by 154
liubo4ka [24]

Answer:

23

Good Luck!!!

8 0
3 years ago
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