4 years ago

Solve the equation, 3x + 12 = 5x - 4, for x.

Mathematics

1 answer:

Zanzabum4 years ago

8 0

The answer is X = 8. Substitute it in to check

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F (x)=2^2-7x-6 Find f (6)

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Plug in 6 for x
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Sean and his family are picking strawberries at a pick-your-own fruit farm. The rectangular strawberry field has an area of 210,

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4 years ago

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Graph the quadrilateral with vertices W(−2,−1), X(−1, 3), Y(3, 3), Z(3,−3) and its image after a rotation 180∘ about the origin

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3 years ago

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When Mei solved the system of equations below, she got the

Pani-rosa [81]

Answer:

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3 years ago

Write the sum using summation notation, assuming the suggested pattern continues.

Usimov [2.4K]

Answer:

Sum of the sequence will be 648

Step-by-step explanation:

The given sequence is representing an arithmetic sequence.

Because every successive term of the sequence is having a common difference d = -3 - (-9) = -3 + 9 = 6

3 - (-3) = 3 + 3 = 6

Since last term of the sequence is 81

Therefore, by the explicit formula of an arithmetic sequence we can find the number of terms of this sequence

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

where a = first term of the sequence

d = common difference

n = number of terms

81 = -9 + 6(n - 1)

81 + 9 = 6(n - 1)

n - 1 = $\frac{90}{6}=15$

n = 15 + 1 = 16

Now we know sum of an arithmetic sequence is represented by

$\sum_{n=1}^{n}(a_{n})=\frac{n}{2}(a_{1}+a_{n})$

Now we have to find the sum of the given sequence

$S_{16}=\frac{16}{2}[-9 + (16-1)6]$

= 8[-9 + 90]

= 8×81

= 648

Therefore, sum of the terms of the given sequence will be 648.

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3 years ago