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coldgirl [10]
3 years ago
9

Complete this sequence 4.15, 6.3, 8.45

Mathematics
2 answers:
Scrat [10]3 years ago
8 0
+2.15.
Explanation: subtract 6.3 by 4.15 = 2.15 so you add 2.15
Andru [333]3 years ago
4 0

Answer:

The sequence will be 4.15, 6.3, 8.45, 10.60, 12.75........

Step-by-step explanation:

The given sequence is 4.15, 6.3, 8.45

Now we check whether the given sequence is arithmetic of geometric.

6.3 - 4.15 = 2.15

8.45 - 6.3 = 2.15

There is a common difference of 2.15 which confirms it's an arithmetic sequence.

Explicit formula for the arithmetic sequence is

T_{n}=a+(n-1)d

T_{n} = nth term

a = first term of the sequence = 4.15

n = number of term

d = common difference = 2.15

Now we can find other terms of the sequence

T_{4}=4.15+(4-1)2.15

T_{4}=4.15+6.45

T_{4}=10.6

T_{5}=4.15+(5-1)2.15

T_{5}=12.75

Therefore, the sequence will be 4.15, 6.3, 8.45, 10.60, 12.75............

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Step-by-step explanation:

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What are the roots of f(x) = x2 – 48? –48 and 48 –24 and 24 Negative 8 StartRoot 3 EndRoot and 8 StartRoot 3 EndRoot Negative 4
Ivanshal [37]

Answer:

x=4\sqrt{3},\:x=-4\sqrt{3} are the roots.

Step-by-step explanation:

x=4\sqrt{3},\:x=-4\sqrt{3}

Considering the expression

x^2\:-\:48

Solving

x^2-48=0

x^2-48+48=0+48

x^2=48

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

x=\sqrt{48},\:x=-\sqrt{48}

Solving

x=\sqrt{48}

  = \sqrt{2^4\cdot \:3}

  \mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}

  = \sqrt{3}\sqrt{2^4}

  \mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^m}=a^{\frac{m}{n}}

  \sqrt{2^4}=2^{\frac{4}{2}}=2^2

  =2^2\sqrt{3}

  =4\sqrt{3}

So,

x=4\sqrt{3}

Similarly,

x=-\sqrt{48}=-4\sqrt{3}

Therefore, x=4\sqrt{3},\:x=-4\sqrt{3} are the roots.

Keywords: roots, expression

Learn more about roots from brainly.com/question/3731376

#learnwithBrainly

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Step-by-step explanation:

You can ignore the 3 and 6 because this has no y value change(rise over run)

This is a straight horizontal line so the equation is y=4.

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