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3 years ago

-5(-4u+6)-6u=6(u-3)-6

Mathematics

2 answers:

olga_2 [115]3 years ago

4 0

Answer:

3/4

Step-by-step explanation:

-5(-4u+6)-6u=6(u-3)-6

20u-30-6u=6u-18-6

14u-30=6u-24

8u-30= -24

8u=6

iren [92.7K]3 years ago

3 0

Answer:

u = 3/4

Step-by-step explanation:

Solve for u:

-5 (6 - 4 u) - 6 u = 6 (u - 3) - 6

-5 (6 - 4 u) = 20 u - 30:

20 u - 30 - 6 u = 6 (u - 3) - 6

Grouping like terms, 20 u - 6 u - 30 = (20 u - 6 u) - 30:

(20 u - 6 u) - 30 = 6 (u - 3) - 6

20 u - 6 u = 14 u:

14 u - 30 = 6 (u - 3) - 6

6 (u - 3) = 6 u - 18:

14 u - 30 = 6 u - 18 - 6

Grouping like terms, 6 u - 18 - 6 = 6 u + (-18 - 6):

14 u - 30 = 6 u + (-18 - 6)

-18 - 6 = -24:

14 u - 30 = 6 u + -24

Subtract 6 u from both sides:

(14 u - 6 u) - 30 = (6 u - 6 u) - 24

14 u - 6 u = 8 u:

8 u - 30 = (6 u - 6 u) - 24

6 u - 6 u = 0:

8 u - 30 = -24

Add 30 to both sides:

8 u + (30 - 30) = 30 - 24

30 - 30 = 0:

8 u = 30 - 24

30 - 24 = 6:

8 u = 6

Divide both sides of 8 u = 6 by 8:

(8 u)/8 = 6/8

8/8 = 1:

u = 6/8

The gcd of 6 and 8 is 2, so 6/8 = (2×3)/(2×4) = 2/2×3/4 = 3/4:

Answer: u = 3/4

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2 years ago

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liraira [26]

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Step-by-step explanation:

To write the function rule, we have to check first whether it is an arithmetic sequence or geometric sequence

We have to find the common difference first. Common difference is the difference between two consecutive terms of a arithmetic sequence.

So,

Here

$a_1=0.3\\a_2=0.9\\a_3=1.5\\a_4=2.1\\d=a_2-a_1=0.9-0.3=0.6\\a_3-a_2=1.5-0.9=0.6$

The common difference is same so the sequence is an arithmetic sequence.

The explicit formula for an arithmetic sequence is:

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$a_n=0.3+(n-1)(0.6)$

Hence,

The rule for sequence is:

$a_n=0.3+(n-1)(0.6)$

Keywords: Functions Rule, Arithmetic sequence

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4 0

3 years ago

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sp2606 [1]

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3 years ago

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34kurt

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3 years ago

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Answer:

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