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Mariana [72]
3 years ago
10

If s(x)=x-7 and t(x) =4x^2+3 which expression is equivalent to (t×s)(x)​

Mathematics
1 answer:
marshall27 [118]3 years ago
8 0

Answer:

\large\boxed{(t\times s)(x)=4x^3-28x^2+3x-21}

Step-by-step explanation:

s(x)=x-7\\t(x)=4x^2+3\\\\(t\times s)(x)=t(x)\times s(x)\\\\\text{Substitute:}\\\\(t\times s)(x)=(4x^2+3)(x-7)\\\\\text{use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(t\times s)(x)=(4x^2)(x)+(4x^2)(-7)+(3)(x)+(3)(-7)\\\\=4x^3-28x^2+3x-21

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sladkih [1.3K]

Answer:

Total cost of the car including tax=$4,066

Step-by-step explanation:

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Find the value of x, 110°, 4x+2, and if you can help with steps that would be great :,)
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2 years ago
Will all slices created by a slicing plane that passes through a sphere be the same size
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Answer:

The suggestion proposed considering special cases, so that’s what we’ll do.

One special case we could consider is when x=0. If h=r, then we have a hemisphere. You may have learnt that the surface area of a sphere is 4πr2, so the answer in this case is 2πr2. Likewise, we can consider the most extreme cases: when h=2r, we get an area of 4πr2 (the entire sphere), and when h=0, we get zero area.

So if we do manage to get a general formula, we will be able to check it in these special cases.

Another possible idea when x=0 is to consider what happens when h is very small. In this case, the surface area looks a lot like a circle, but the radius of the circle does not seem particularly easy to work out, so maybe we’ll leave this one for a moment. (There are things we can do to approximate the radius using more advanced techniques, but they are currently beyond us.)

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Step-by-step explanation:

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