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3 years ago

The product of two consecutive terms of the Arithmetic sequence 5,8,11.....is 598.find the position of the term?

Mathematics

1 answer:

lbvjy [14]3 years ago

3 0

Answer:

Step-by-step explanation:

Common difference is 3.

Let x be a term in the sequence. The next term in the sequence is x+3.

x(x+3) = 598

x² + 3x - 598 = 0

x = [-3 ± √(3²-4⋅1(-598))]/[2⋅1] = [-3 ± 49]/2 = 23, -26

-26 is an extraneous solution, so x = 23.

The two terms are 23 and 26.

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3 years ago

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If 3/5 w = 4/3, what is the value of w?

elena55 [62]

Answer:

w=20/9 or w=2 2/9

Step-by-step explanation:

Multiply each side by 5/3. Then reduce the numbers with the greatest common divisor which is 5 do the same with 3. then multiply the fractions and thus the answer of 20/9 you can simplify the improper fraction if you want the answer is still the same. Hope this helps.

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3 years ago

Melissa, Dan, and Henry have $87 in their wallets. Dan has 3 times what Henry has. Melissa has $8 less than Henry. How much does

puteri [66]

Answer:

Henry has $19, Dan has $57, and Melissa has $11

Step-by-step explanation:

Let x represent how much money Henry has

Since Dan has 3 times what Henry has, his amount is 3x

Since Melissa has $8 less than Henry, her amount is x - 8

Create an equation that sets these 3 values equal to 87, then solve for x

(x) + (3x) + (x - 8) = 87

5x - 8 = 87

5x = 95

x = 19

So, Henry has $19

Find how much Dan has by multiplying 19 by 3

19(3)

= 57

Find how much Melissa has by subtracting 8 from 19

19 - 8

= 11

So, Henry has $19, Dan has $57, and Melissa has $11

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2 years ago

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Given the domain values {-3, 0, 3} what is the range for the equation f(x) = −5x + 2? Question options: {-3, 0, 3} {-6, 2, 6} {-

Fynjy0 [20]

The range is the set of all possible output, as you feed the function with all possible inputs. Since our inputs (domain) are -3, 0, 3, our outputs are

$f(-3) = 15+2 = 17\\f(0)=0+2 = 2\\f(3) = -15+2 = -13$

So, the range is

$\{-13, 2, 17\}$

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3 years ago

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The answer for this problem is B

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