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inysia [295]
3 years ago
5

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! What is (fg)(x) ?

Mathematics
2 answers:
skad [1K]3 years ago
4 0

Answer:its option d


Step-by-step explanation:

(fg)(x)= (4x^2-5)(x+3)

=4x^3+12x^2-5x-15

Lina20 [59]3 years ago
4 0

Answer: (D) 4x³ + 12x² - 5x - 15

<u>Step-by-step explanation:</u>

f(x) = 4x² - 5          g(x) = x + 3

(f·g)(x) = (4x² - 5)(x + 3)

          = 4x²(x + 3) - 5(x + 3)

          = 4x³ + 12x² - 5x - 15

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4 years ago
A suspension bridge has two main towers of equal height. A visitor on a tour ship
Scilla [17]

Answer:

The Height of the tower is 188.67 ft

Step-by-step explanation:

Given as :

The angle of elevation to tower = 15°

The distance travel closer to tower the elevation changes to 42° = 497 ft

Now, Let the of height of tower = h  ft

The distance between 42°  and  foot of tower = x  ft

So, The distance between 15° and  foot of tower =  ( x + 497 )  ft

So, From figure :

<u>In Δ ABC </u>

Tan 42° = \frac{perpendicular}{base}

Or , Tan 42° = \frac{AB}{BC}

Or,  0.900 = \frac{h}{x}

∴ h = 0.900 x

Again :

<u>In Δ ABD </u>

Tan 15° = \frac{perpendicular}{base}

Or , Tan 15° = \frac{AB}{BD}

Or,  0.267 = \frac{h}{( x + 497 )}

Or,  h = ( x + 497 ) × 0.267

So, from above two eq  :

     0.900 x =  ( x + 497 ) × 0.267  

Or, 0.900 x - 0.267 x =  497  × 0.267  

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So, The height of tower = h = 0.900 × 209.63

Or,                                      h = 188.67 ft

Hence The Height of the tower is 188.67 ft    Answer

3 0
3 years ago
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