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ahrayia [7]
3 years ago
10

-7(4-x)+4≥-18+7x Solve the inequality

Mathematics
1 answer:
NikAS [45]3 years ago
7 0

Answer:

0 \geqslant 6

Step-by-step explanation:

- 7(4 - x) + 4 \geqslant  - 18 + 7x \\  - 28 + 7x + 4 \geqslant  - 18 + 7x \\  - 24 + 7x \geqslant  - 18 + 7x \\ 7x - 7x \geqslant 24 - 18 \\ 0 \geqslant 6

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5. Find the sum of the first 35 terms of the arithmetic sequence when a = 5 and d = 4
Elza [17]

Answer:

The sum of the first 35 terms of the arithmetic sequence when a = 5 and d = 4 is 2555.

Step-by-step explanation:

Given:

a = 5

d =  4

To Find :

The sum of first 35 terms of the arithmetic sequence  = ?

Solution:

Step 1 : finding the 35th term

a_n = a_1 +(n-1)d

a_35 = 5 +(35-1)4

a_35 = 5 +(34)4

a_35 = 5 +136

a_35 = 141

Step 2: Finding the sum of first 35 terms

S_n = \frac{n(a_1 +a_n)}{2}

Substituting the values

S_n = \frac{35(5+141)}{2}

S_n = \frac{35(146)}{2}

S_n = \frac{35(146)}{2}

S_n = \frac{5110)}{2}

S_n = 2555

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4 years ago
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3 years ago
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