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S_A_V [24]
3 years ago
7

Find f(-2) for f(x) = 3 *2^x

Mathematics
2 answers:
Xelga [282]3 years ago
5 0

Answer:

3/4

Step-by-step explanation:

f(x) = 3 *2^x

Let x= -2

f(-2) = 3 *2^(-2)

     = 3 * 1/2^2

    = 3 /4

Nutka1998 [239]3 years ago
4 0

Answer:

It is 3/4

Step-by-step explanation:

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a road follows the shape of a parabola f(x)=3x2– 24x + 39. A road that follows the function g(x) = 3x – 15 must cross the stream
Nonamiya [84]

the coordinates where the bridges must be built is (3,-6) and (6,3) .

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

Here we have , a road follows the shape of a parabola f(x)=3x2– 24x + 39. A road that follows the function g(x) = 3x – 15 must cross the stream at point A and then again at point B. Bridges must be built at those points.We need to find Identify the coordinates where the bridges must be built. Let's find out:

Basically we need to find values of x for which f(x) = g(x) :

⇒ f(x)-g(x)=0

⇒ 3x^2- 24x + 39-(3x - 15 ) =0

⇒ 3x^2- 24x + 39-3x + 15  =0

⇒ 3x^2- 27x + 54  =0

⇒ x^2- 9x + 18  =0

⇒ x^2- 6x-3x + 18  =0

⇒ x(x- 6)-3(x - 6)  =0

⇒ (x-3)(x- 6)  =0

⇒ x=3 , x=6

Value of g(x) at x = 3 : y=3x -15 = 3(3)-15 = -6

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Therefore , the coordinates where the bridges must be built is (3,-6) and (6,3) .

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