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maxonik [38]
3 years ago
15

G(x)=-x + 4x h(x)=4x + 2 Find (g-h)(-4x) How do I answer this question

Mathematics
1 answer:
Digiron [165]3 years ago
4 0

Answer:

(g - h)(-4x) = 4x - 2

Step-by-step explanation:

This problem is one dealing with "composite functions."  We are given the definitions of functions g(x) and h(x) and are asked to find the difference between g and h, namely, what is left if we subtact h from g.  After having done that, we replace x in this composite function with the input (-4x).

The difference (g - h)(x) is as follows:  g(x) - h(x) = -x + 4x - [4x + 2].

If we simplify the algebra, we get g(x) - h(x) = -x + 4x - [4x + 2] = -x - 2.

Next, substitute -4x for x in this last result.  We get (g - h)(-4x) = 4x - 2.

Please note:  You might want to check out your g(x) = -x + 4x.  Normally we would write this as +3x.  

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Side a of the triangle is a utility pole. Henry would like to know how long the guy wire, c, should be.
jasenka [17]

We know that the pole is perpendicular to the ground

And that the length of the pole is 20 feet tall, and the base is 15 feet

Now, the guy wire is a wire that provides support to the pole by connecting the top of the pole to the ground

So this represents a right angled triangle (refer image), and the hypotenuse is the length of the guy wire

Using Pythagoras theorem, we can find out the length of the hypotenuse

⇒ Hypotenuse² = Perpendicular² + Base²

⇒ Hypotenuse² = 20² + 15²

⇒ Hypotenuse² = 400+225

⇒ Hypotenuse² = 625

⇒ Hypotenuse = √625

⇒ Hypotenuse = 25

Hence, the correct option is B  25 ft.

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3 years ago
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Another house is sold for £283,392
Dmitry_Shevchenko [17]

Answer:

the price paid is  £288,000

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The computation of the price paid is shown below:

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Since the another house would be 1.6% less than the price paid

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3 years ago
Find, to four significant digits, the distance between the graphs of 2x-3y+4=0 and 2x-3y+15=0.
shepuryov [24]
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Line 1: 2x - 3y = -4
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In this case, A=2 and B=-3. The constants are C₁ = -4 and C₂ = -15. The distance follows this formula:

d = |C₁ - C₂|/(√(A²+B²)
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