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scoundrel [369]
2 years ago
12

Given that f(x) = 4x√3x + 3 and g(x) = 2√x+1, find (f/g)(x)

Mathematics
1 answer:
Tresset [83]2 years ago
8 0

Answer:

2x\sqrt{3}.

Step-by-step explanation:

\frac{f}{g}(x)=\frac{4x\sqrt{3x+3}}{2\sqrt{x+1}}=\frac{2*2*x*\sqrt{3}*\sqrt{x+1}}{2*\sqrt{x+1}}=2x\sqrt{3}.

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Plz help me with this
jeyben [28]

Only the last two options are true.

The first one is false, because 4.5 is the value of the maximum of f(x), not the point where it is reached.

The second one is false, because g(x) has a maximum of 9, so it is a downward-facing parabola (just like f(x)), so it doesn't have a minimum.

The third one is true, because the maximum value of f(x) is 4.5, and the maximum value of g(x) is 9, which is twice the maximum of f(x)

The last one is false (see point 2).

3 0
3 years ago
Read 2 more answers
I just need help finding h pleasww
SCORPION-xisa [38]

Answer:

  • h = (2/3)√3
  • b = 3√2

Step-by-step explanation:

It is useful to remember the ratios between the side lengths of these special triangles.

  30°-60°-90° ⇒ 1 : √3 : 2

  45°-45°-90° ⇒ 1 : 1 : √2

__

h is the shortest side, and the given length is the intermediate side. This means ...

  h/1 = 2/√3

  h = 2/√3 = (2/3)√3 . . . . . . simplify, rationalize the denominator

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b is the longest side, and the given length is the short side. This means ...

  b/√2 = 3/1

  b = 3√2 . . . . . multiply by √2

8 0
2 years ago
Right triangle abc has one leg of length 6 cm, one leg of length 8 cm and a right angle at
Sauron [17]
Answer:
side length of the square = 10 cm

Explanation:
The attached image shows a diagram representing the scenario described in the problem.
Taking a look at this diagram, we can note that the side length of the square is equal to the hypotenuse of the right-angled triangle
Therefore, we can get the side of the square by calculating the length of the hypotenuse using Pythagorean theorem as follows:
(hypotenuse)² = (length of first leg)² + (length of second leg)²
(hypotenuse)² = (8)² + (6)²
(hypotenuse)² = 64 + 36
(hypotenuse)² = 100
hypotenuse = √100
hypotenuse = 10 cm

This means that the length of the side of the square is also 10 cm

Hope this helps :)

6 0
3 years ago
Once simplified, which of the expressions below is equal to 2x+8? Select all that apply.
romanna [79]

Answer: B) 2(x+4)

Step-by-step explanation: Hope this help :D

5 0
2 years ago
Rewrite the equation in Ax+By=C form.<br> Use integers for A, B, and C.<br> y-1=6(x + 2)
masha68 [24]

Answer:

Step-by-step explanation:

7 0
3 years ago
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