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Gennadij [26K]
3 years ago
10

Write the first five terms of the arithmetic sequence. First term: -10 and common difference: 2

Mathematics
1 answer:
Sholpan [36]3 years ago
6 0

Answer:

The first five terms of the arithmetic sequence.

-10 , -8 , -6 , -4 ,-2 ..........

Step-by-step explanation:

<u><em>Explanation</em></u>

Given that the first term is -10 and common difference d = 2

we know that the sequence in A.P

a ,a+d ,a+2d,a+3d ,a+4d...........  are in AP

-10, -10+2,  -10+2(2),  -10+3(2) , -10+4(2)..................

-10 , -8 , -6 , -4 ,-2 ..........

<u><em>Final answer:-</em></u>

The first five terms of the arithmetic sequence.

-10 , -8 , -6 , -4 ,-2 ..........

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it took a ball 4 minutes to roll 251 feet .what is the balls average speed in feet per second .round to the nearest hundredth
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divide total distance by time:

251 feet / 4 minutes = 62.75 feet per minute.

1 minute = 60 seconds.


62.75 feet / 60 seconds = 1.045 = 1.05 feet per second.

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3 years ago
Find f(-5) and f(12) for each piecewise function f(x){-4x+3 if x&lt;3
Law Incorporation [45]
<h3>Answers:</h3>
  • f(-5) = 23
  • f(12) = 433

==================================================

Explanation:

The given piecewise function is

f(x) = \begin{cases}-4x+3 \ \text{ if } \ x < 3\\-x^3 \ \text{ if } \ 3 \le x \le 8\\3x^2+1 \ \text{ if } \ x > 8\end{cases}

At first piecewise functions may be strange confusing things, but they aren't so bad. I like to think of it like this: f(x) is a function that changes its identity based on what the input x is. We have three situations

  • f(x) = -4x+3 when x < 3
  • f(x) = -x^3 when 3 \le x \le 8
  • f(x) = 3x^2+1 when x > 8

In a sense, we have three different functions but they are combined somehow.

If x is smaller than 3, then we go for the first definition. Or if x is between 3 and 8, then we go for the second definition. Or if x is larger than 8, then we go for the third definition.

-----------------------

f(-5) means f(x) when x = -5. We see that -5 is smaller than 3, so x = -5 makes x < 3 true. We'll use the first definition

f(x) = -4x+3

f(-5) = -4(-5)+3

f(-5) = 20+3

f(-5) = 23

------------------------

Now the input is x = 12. This is larger than 8. In other words, x = 12 makes x > 8 true. We'll use the third definition

f(x) = 3x^2+1

f(12) = 3(12)^2+1

f(12) = 3(144)+1

f(12) = 432+1

f(12) = 433

------------------------

Side notes:

  • We won't use the second definition since we don't have any x inputs between 3 and 8
  • To say "less than or equal to" on a keyboard, you can write "<=" without quotes. For example, x \le 5 is the same as x<=5
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Answer:A

Step-by-step explanation:The answer is A because if you divide the numbers equally, then you will get 1

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Please help me! :) !!!!!!!!!!!!!!!!!
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Answer:

x=17

Step-by-step explanation:

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Add x to each side

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4x+4 = 72

Subtract 4 from each side

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Divide by 4

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Answer:

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Step-by-step explanation:

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