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notsponge [240]
3 years ago
6

Help whats the absolute value

Mathematics
1 answer:
Soloha48 [4]3 years ago
8 0
|a|=  \left\{\begin{array}{ccc}a&if&a\geq0\\-a&if&a \ \textless \  0\end{array}\right\\\\examples\\3\geq 0\to|3|=3\\102\geq0\to|102|=102\\0\geq0\to|0|=0\\-4 \ \textless \  0\to|-4|=-(-4)=4\\-105 \ \textless \  0\to|-105|=105

OK. Let's go to your question:

a) |-100| - 98 = 100 - 98 = 2

b) 5|2 - 8| = 5|-6| = 5 · 6 = 30
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Foe the AP given by a1,a2,......,an,...with non zero common difference, the equation satisfied are
user100 [1]
The given sequence is
a₁, a₂, ..., a_{n}

Because the given sequence is an arithmetic progression (AP), the equation satisfied is
a_{n}=a_{1}+(n-1)d
where
d =  the common difference.

The common difference may be determined as
d = a₂ - a₁

The common difference is the difference between successive terms, therefore
d = a₃ - a₂ = a₄ - a₃, and so on..

The sum of the first n terms is
S_{n}= \frac{n}{2} (a_{1}+a_{n})

Example:
For the arithmetic sequence
1,3,5, ..., 
the common difference is d= 3 - 1 = 2.
The n-th term is
a_{n}=1+2(n-1)

For example, the 10-term is
a₁₀ = 1 + (10-1)*2 = 19
Th sum of th first 10 terms is
S₁₀ = (10/2)*(1 + 19) = 100



8 0
3 years ago
At a​ little-known vacation​ spot, taxi fares are a bargain. A 24​-mile taxi ride takes 36 minutes and costs ​$.14.40. You want
dolphi86 [110]

Answer:

I need how much is it per one mile <em>or</em> how much does is cost every 5 mins at least

8 0
2 years ago
Hello, happy Friday, I am just here with some geometry questions.
irga5000 [103]

Answer:

VW = 43.2

Step-by-step explanation:

First, we can see that VZ = 88 - 55 = 33.

Then by the Triangle Proportionality Theorem, we can write that:

\displaystyle \frac{55}{33}=\frac{72}{VW}

Simplify:

\displaystyle \frac{5}{3}=\frac{72}{VW}

Cross-multiply:

216=5VW

So:

\displaystyle V=\frac{216}{5}=43.2

3 0
3 years ago
this is really simple math, i just forgot how to do this because i haven't done math in so long. help please?
shtirl [24]
X^2 - 2/3x + 1/9   is the answer i belive

3 0
2 years ago
What is the domain of the function shown in the graph below?
Anika [276]

Answer:

All numbers except 1

Step-by-step explanation:

The graph has an asymptote at 1.

So the function will grow toward but without reaching it.

The equation of the asymptote is x=1

So the domain is all real numbers except 1.

7 0
3 years ago
Read 2 more answers
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