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Snowcat [4.5K]
3 years ago
11

The 18th term of an arithmetic sequence is 49 and the first term is 15.

Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0

Answer:

33

Step-by-step explanation:

49-15=34

34/17=2

For this sequence, you can write this function:

f(x)=15+2(x-1)

Check:

f(18)=15+2(18-1)

f(18)=15+2(17)

f(18)=15+34

f(18)=49

So:

f(10)=15+2(10-1)

f(10)=15+2(9)

f(10)=15+18

f(10)=33

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Answer:

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Step-by-step explanation:

Given the inequality -1 1/2p < -16

Before we can represent the inequality on a graph we just simplify it first. On simplification:

-1 1/2p < -16

(-3/2)p < -16

Multiplying both sides by 2

-3p < -32

Dividing both sides by -3 will change the sense of the inequality as shown:

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3 years ago
Let f(x) = -20x2 + 14x + 12 and g(x) = 5x - 6. Find f/g and state its domain.
Tanya [424]

Answer:  (f/g)(x) = -4x - 2

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<u>Step-by-step explanation:</u>

\dfrac{f(x)}{g(x)}=\dfrac{-20x^2-14x+12}{5x-6}\\\\\\.\qquad =\dfrac{-2(2x+1)(5x-6)}{5x-6}\\\\\\.\qquad =-2(2x+1)\\\\\\.\qquad =-4x-2

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3 0
3 years ago
Plz help me out in that because i don’t what is the value of 5n+9+n
valentina_108 [34]
No they’re not equivalent because for 3(2n+9) when you distribute the 3 you get 6n+27 & 5n+9+n equal to 6n+9 when you combine like terms (add the n’s).
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3 years ago
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Zepler [3.9K]

Answer:

<u>It</u><u> </u><u>is</u><u> </u><u>2</u><u>/</u><u>1</u><u>5</u>

Step-by-step explanation:

= \sqrt{ \frac{1}{ {6}^{2} }  -  \frac{1}{ {10}^{2} } }  \\ \\   =  \sqrt{ \frac{4}{225} }  \\  \\  =  \frac{ \sqrt{4} }{ \sqrt{225} }  \\  \\  =  \frac{2}{15}

3 0
3 years ago
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