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Novay_Z [31]
3 years ago
5

What is the sum of r? - 3x + 7 and 3x2 + 5x - 9?

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
5 0

Answer:

3 x 2 + 2 x − 2

Step-by-step explanation:

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Find the product of −3/5 x −1.5.
lilavasa [31]
2+_3/458 find the product
6 0
3 years ago
Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms
Hunter-Best [27]

Answer:

a) 10th term is 0.051

b) The sum of first 18 terms of given sequence is 51.48

Step-by-step explanation:

We are given the sequence 26, 13, 6.5, ..... we need to find

a) 10th term

b) Sum of first 18 terms

Before solving we need to determine if the sequence is arithmetic or geometric

The sequence is arithmetic if common difference d is same.

The sequence is geometric if common ratio r is same.

Finding common difference d: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

Finding common ratio r : 13/26 =0.5, 6.5/13= 0.5

As common ratio is same so, the sequence is geometric.

a) Finding common difference: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

a) 10th term

The formula to find 10th term is: a_n=a_1r^{n-1}

We have a₁=26 and r = 0.5 n=10

a_n=a_1r^{n-1}\\a_{10}=26(0.5)^{10-1}\\a_{10}=26(0.5)^{9}\\a_{10}=0.051

So, 10th term is 0.051

b) Sum of first 18 terms

The formula to find sum of geometric series is: S_n=\frac{a(1-r^n)}{1-r}

where a= 1st term, r = common ratio and n= number of terms

In the given sequence we have

a=26, r=0.5 and n=18

Finding sum of first 18 terms

S_n=\frac{a(1-r^n)}{1-r}\\S_{18}=\frac{26(1-(0.5)^{18}}{1-0.5}\\S_{18}=\frac{26(0.99)}{0.5}\\S_{18}=\frac{25.74}{0.5}\\S_{18}=51.48

So, sum of first 18 terms of given sequence is 51.48

6 0
3 years ago
For what value of k will the relation y = kx² + 8x + 8 have only one zero? (3 marks)
Lana71 [14]

Answer:

2

Step-by-step explanation:

2x^2 + 8x + 8

factor the 2 out : 2(x^2 + 4x + 4)

2(x + 2)^2

x = -2

4 0
2 years ago
IF you answer the question, Give me an explanation the question.
Art [367]

Answer:

2

Step-by-step explanation:

this is because the inequality sign says greater than OR equal too, this would make the line solid, and since it's greater, all the values above that line would be included in the inequality

3 0
3 years ago
Solve for x. <br> 7x - 3 = 4x - 9
artcher [175]

Answer:

x= -2

Step-by-step explanation:

7x-3=4x-9

3x-3= -9

3x= -6

x= -2

7 0
2 years ago
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