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-BARSIC- [3]
3 years ago
10

Find the 78th term of the arithmetic sequence 14, 5, -4, ...14,5,−4

Mathematics
1 answer:
o-na [289]3 years ago
3 0

\bf 14~~,~~\stackrel{14-9}{5}~~,~~\stackrel{5-9}{-4}~~,~~...~\hspace{10em}\stackrel{\textit{common difference}}{d = -9} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=14\\ d= -9\\ n= 78 \end{cases} \\\\\\ a_{78}=14+(78-1)(-9)\implies a_{78}=14+(77)(-9) \\\\\\ a_{78}=14-693\implies a_{78}=-679

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Find the values of sand y <br> VR=y<br> TS=x+11<br> VT=y-3x <br> RS=x+2
Bumek [7]
I'm guessing this is a parallelogram or something, so VR=TS and RS=VT
therefore, y=x+11 and x+2=y-3x
y=x+11 , 2=y-4x
y=x+11 , y=4x+2
then use the process of elimination:
   y=4x+2         then plug in:    y=3+11
-  y=x+11                                 y=14
   0=3x-9                     I think this is how you'd do it, tbh it's just an educated
  3x=9 , x=3                               guess. Btw, sorry if it looks weird
6 0
3 years ago
Convert from radians to degrees -7pi/2
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6 0
3 years ago
If f(x) = 16x – 30 and g(x) = 14x – 6, for which value of x does (f – g)(x) = 0?
andre [41]

The value of the x will be 12. The value of the x is obtained from the condition,(f – g)(x) = 0

<h3>What exactly is a function?</h3>

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

Given function;

f(x) = 16x – 30

g(x) = 14x – 6

⇒(f – g)(x) = 0

⇒(16x – 30)-(14x – 6)=0

⇒16x-30-14x+6=0

⇒2x-24=0

⇒x=24/2

⇒x=12

Hence, the value of the x will be 12.

To learn more about the function, refer to:

brainly.com/question/5245372

#SPJ1

8 0
2 years ago
What is the range of the function graphed below?<br> ABCD
AlexFokin [52]

Answer:

(-4 , 0] ∪ (2, ∞)

Last option

Step-by-step explanation:

Since range is included 2 so (2, ∞) and other line is not included 0 but included -4  so it should be (-4, 0]

So range would be:

(-4 , 0] ∪ (2, ∞)

8 0
4 years ago
What is 444/88/145/140
disa [49]
First of all, I suppose that you are dividing, /.
Since, you don't have any other symbols here, i.e. + -*.
you work from left to right
444/88 is exactly <span>5.04545454545
</span>5.04545454545/145 is exactly <span>0.03479623824
</span>0.03479623824/140 is exactly <span>0.00024854455
</span>
so the answer to this is <span>0.00024854455
</span>
Hope this helps in some way ;)

7 0
4 years ago
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