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riadik2000 [5.3K]
3 years ago
10

Y=5x-1 for x=-4, x=12, x=0, and x=0.5

Mathematics
1 answer:
scoray [572]3 years ago
5 0

Answer:

answers showed

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Can 3.65909090909 be expressed as a fraction whose denominator is a power of 10? Explain.
GuDViN [60]
\bf 3.659\textit{ can also be written as }\cfrac{3659}{1000}\textit{ therefore }3.6590909\overline{09}\\\\
\textit{can be written as }\cfrac{3659.0909\overline{09}}{1000}

notice above, all we did, was isolate the "recurring part" to the right of the decimal point, so the repeating 09, ended up on the right of it.

now, let's say, "x" is a variable whose value is the recurring part, therefore then

\bf \cfrac{3659.0909\overline{09}}{1000}\qquad \boxed{x=0.0909\overline{09}} \qquad \cfrac{3659+0.0909\overline{09}}{1000}\implies \cfrac{3659+x}{1000}

now, the idea behind the recurring part is that, we then, once we have it all to the right of the dot, we multiply it by some power of 10, so that it moves it "once" to the left of it, well, the recurring part is 09, is two digits, so let's multiply it by 100 then, 

\bf \begin{array}{llllllll}
100x&=&09.0909\overline{09}\\
&&9+0.0909\overline{09}\\
&&9+x
\end{array}\quad \implies 100x=9+x\implies 99x=9
\\\\\\
x=\cfrac{9}{99}\implies \boxed{x=\cfrac{1}{11}}\\\\
-------------------------------\\\\
\cfrac{3659.0909\overline{09}}{1000}\qquad \boxed{x=0.0909\overline{09}} \quad \cfrac{3659+0.0909\overline{09}}{1000}\implies \cfrac{3659+x}{1000}
\\\\\\
\cfrac{3659+\frac{1}{11}}{1000}

and you can check that in your calculator.
8 0
3 years ago
An object is traveling around a circle with a radius of 20 meters. If in 10 seconds a central angle of 1/5 radian is swept out,
PilotLPTM [1.2K]
The linear speed of the object is the ratio between the measure of the arc it had traveled and the time. For the length of the arc,
                     2π x (20 m) x (0.2 rad/ 2π rad) = 4 meters
Divide this by the time, 10 s. Thus, the linear speed is equal to 0.4 m/s. 
8 0
3 years ago
Read 2 more answers
Identify all the Geometric Sequence(s) from the options below-
MAVERICK [17]
1.) Not a sequence
2.) 2^n-1
3.) Not a sequence
4.) 81/3^n-1
5.) -(-3)^n-1
6.) Not a sequence
7 0
3 years ago
If the ordered pair (-5/2, y) lies on the graph of y=7-2x, find the value of y.
Viefleur [7K]

The correct answer is option B which is the value of Y will be 12.

<h3>What is an equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

If the ordered pair (-5/2, y) lies on the graph of y=7-2x,

The value of Y will be calculated as:-

Y = 7 - 2x

Y = 7 - 2 ( -5/2 )

Y = 7 - ( - 5 )

Y = 7 + 5

Y = 12

Therefore the correct answer is option B which is the value of Y will be 12.

To know more about equations follow

brainly.com/question/2972832

#SPJ1

8 0
2 years ago
For which of the following values of x is the function f(x)=
Irina18 [472]
Simplify, and put your answer in terms of i.
5 0
3 years ago
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