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skelet666 [1.2K]
3 years ago
6

Factorise 3x + 5x – 12​

Mathematics
2 answers:
amm18123 years ago
5 0
=4(2x-3)
Hope this helps
Daniel [21]3 years ago
4 0

Answer:(x+3)(3x+4)

Step-by-step explanation:

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City planners anticipate an 8.2% population growth per year, including new residents and births. The population, in millions of
NNADVOKAT [17]
<h2>Hello!</h2>

The answer is:

The correct option is the third option,

L(p(x))=2.425(1.082)^{x}

<h2>Why?</h2>

From the statement we know the function that models the population growth over the years (p(x)) but we have been told that there is an estimated loss that can be modeled by the function L(p), so in order to find which function represents the final function, we need to composite the function, which is the same that evaluate p(x) into the function L(p).

We are given:

p(x)=2.5(1.082)^{x}

and

L(p(x))=p(0.97)

So, the evaluationg p(x) into L(p), we have:

L(p(x))=p(0.97)\\\\L(p(x))=2.5(1.082)^{x}*(0.97)=0.97*2.5(1.082)^{x} \\\\L(p(x))=0.97*2.5(1.082)^{x}=2.425(1.082)^{x}\\\\L(p(x))=2.425(1.082)^{x}

Hence, the correct option is:

The third option,  

L(p(x))=2.425(1.082)^{x}

Have a nice day!

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A tree 10 meters high casts a 17.3 meter shadow.
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Step-by-step explanation:

Let's make a diagram of the tree, ground and inclination of the rays of the sun, so we understand what right angle triangle we have. Please see the attached image.

Notice that our unknown is the angle \theta, and that we know the size of the side opposite to it, and of the side adjacent to it. Therefore the most convenient trigonometric formula to use is the tangent of the angle because:

tan(\theta)=\frac{opposite}{adjacent} \\tan(\theta)=\frac{10}{17.3}\\\theta=arctan(\frac{10}{17.3})\\\theta\approx 30^o

5 0
3 years ago
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