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3 years ago

Write an equation for the nth term of the arithmetic sequence -7, -2, 3, 8...

Mathematics

1 answer:

solong [7]3 years ago

7 0

Answer:

Step-by-step explanation:

An arithmetic sequence has a definite pattern. If we look at the number -7 and -2, what do we have to do to get from -7 to -2? We just have to add 5. To check this, we can add 5 to -2 and it will be 3.

Now, we know what the pattern is. Now, we have to find the ninth term using this pattern.

8 is the fourth term. So, 5 + 8 is 13. 13 is the fifth term. 13 + 5, is 18. 18 is the sixth term. 18 plus 5 is 23. 23 is the seventh term. 23 plus 5 is 28. 28 is the eighth term. Finally, 28 plus 5 is 33. 33 is the ninth term.

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What the answer fast pls

Marrrta [24]

Answer:

x= 20 and y= 12

Step-by-step explanation:

nickel is 5 cents and quarter is 25 cents,

let x be number of nickels and y be number of cents

x+y = 32

5x + 25y = 400

you get x= 20 and y= 12

7 0

3 years ago

Which polynomial expression represents a sum of cubes? (6 – s)(s2 + 6s + 36) (6 + s)(s2 – 6s – 36) (6 + s)(s2 – 6s + 36) (6 + s)

Nadusha1986 [10]

Answer:

Option 3 is correct that is $(6+s)(s^2-6s+36)$

Step-by-step explanation:

We have general formula for sum of cube which is

$a^3+b^3=(a+b)(a^2+b^2-ab)$

Here, we have a=s and b=6

on substituting the values in the formula we will get

$6^3+s^3=(6+s)(s^2+6^2-6s)$

After simplification we will get

$6^3+s^3=(6+s)(s^2+36-6s)$

After rearranging the terms we will get

$6^3+s^3=(6+s)(s^2-6s+36)$ which exactly matches option 3 in the given options.

Therefore, option 3 is correct that is $(6+s)(s^2-6s+36)$

4 0

4 years ago

Read 2 more answers

The graph of f(x)=√x Is shifted four units up and five units to the right. What is the equation of the resulting graph?

RoseWind [281]

A vertical shift adds/subtracts a constant to/from every y-coordinate while leaving the x-coordinate unchanged. A horizontal shift adds/subtracts a constant to/from every x-coordinate while leaving the y-coordinate unchanged. Vertical and horizontal shifts can be combined into one expression.

Shifting up or to the right means add

Shifting down or to the left means subtract

the 3rd option is the correct one

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2 years ago

The cost of fabric (y) is directly proportional to he length is yards (x). If 5 yards of fabric cost $14, which equation models

marta [7]

Answer:

5x = 14

Step-by-step explanation:

If 5 yards of fabric is $14 you need an equation that would solve how much 1 yard of fabric costs. You can say 5x = 14 or x = 2.8 which means that one yard of fabric (1x or just x) is $2.80.

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4 years ago

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A Straight fence is to be Constructed from post 6 inches wide by which are Separated by Chain link sections that are 4 feet long

andrew11 [14]

Answer:

any length less then 5 ft

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4 years ago