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ella [17]
3 years ago
13

Find four consecutive terms in an A.P whose sum is 12 & sum of 3rd & 4rt term is 14.(Assume the four consecutive terms i

n A.P. are a-d ,a, a+d, a+2d.)​
Mathematics
1 answer:
Degger [83]3 years ago
4 0

Answer:

solution given a-d ,a, a+d, a+2d are in A.P

according to the question

sum of 4 terms =12

a-d+a+a+d+a+2d=12

4a+2d=12

2a+d=12/2

d=6-2a

again

3rd + 4rt term =14

a+d+a+2d=14

2a+3d=14

substituting value of d

2a+3(6-2a)=14

2a+18-6a=14

18-14=4a

a=4/4=1

again

d=6-2×1=4

first term =a-d=1-4=-3

second term =a=1

third term =a+d=1+3=4

forth term =a+2d=1+3×2=7

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B.

f(x) and g(x) are closed under subtraction because when subtracted, the result will be a polynomial.

Step-by-step explanation:

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Assume m>=n WOLOG

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Are also a polynomial in general, but maybe in a different degree

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6 0
3 years ago
The average distance in miles traveled in one hour if 660 miles can be covered in 1.5 hours
mariarad [96]

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440

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The Hickory Stick has a selection of 3 meats and 6 vegetables. How many different selections of one meat and one vegetable are p
valentina_108 [34]

The <u>different</u> selections of<u> one</u> meat and <u>one</u> vegetable are possible are 18 selections.

Since the Hickory Stick has a selection of 3 meats and 6 vegetables, the number of ways we can select <u>one </u>meat out of 3 is ³C₁ = 3.

Also, the number of ways we can select <u>one </u>vegetable out of 6 is ⁶C₁ = 6.

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Learn more about combination here:

brainly.com/question/19341024

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6 0
3 years ago
True or false: 4/8 and 10/16 are equivalent fractions?
lorasvet [3.4K]

Answer:

False

Step-by-step explanation:

Multiply 8 by 2 to create the common denominator (which is 16).

Now multiply 4 by 2 to keep the fraction even.

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Another way you could write this inequality:

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4 0
4 years ago
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