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Bas_tet [7]
3 years ago
7

Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39. For any minutes over 200, Ben is cha

rged $0.35 per minute. Which of the following piecewise functions accurately represents charges based on Ben's cell phone plan?
Mathematics
2 answers:
goldfiish [28.3K]3 years ago
6 0

Answer:C

Step-by-step explanation:

faltersainse [42]3 years ago
4 0

Answer:

\left\{\begin{matrix}39 & x\leq 200\\ 39+(x-200)\times 0.35 & x>200\end{matrix}\right.

Step-by-step explanation:

We are given that Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39.

We are also told that For any minutes over 200, Ben is charged $0.35 per minute.

let x  be the minutes used each month

So, if x\leq 200

So, coat will be $39

If x>200

So, Ben is charged $0.35 per minute

So, when x>200

So, charge = 39+(x-200)\times 0.35

So, the piecewise functions accurately represents charges based on Ben's cell phone :

\left\{\begin{matrix}39 & x\leq 200\\ 39+(x-200)\times 0.35 & x>200\end{matrix}\right.

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Answer:

x=-4

Step-by-step explanation:

2(|x+4|+3)=6

take out absolute value

2(x+4+3)=6

remove parrenthesis

2x+8+6=6

Simplify

2x+14=6

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4 0
3 years ago
.The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 s
Citrus2011 [14]

Answer:

The constant of variation is 1/9

The equation representing the direct variation is y/x= 1/9

Step-by-step explanation:

In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get

y/x = k

3 / 27 = k

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Therefore, the constant of variation is 1/9

Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation

* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both

5 0
2 years ago
Describe the term linear pair, and give an example from the diagram.
Burka [1]

Answer/Step-by-step explanation:

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From the diagram given, examples of linear pair are:

<FEG and <GEN

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These are some of the few examples we can see in the given diagram that are linear pairs.

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3 years ago
Find x so that x, X +2, X'+3 are the first three terms of a geometric sequence. Then find the 5" term of the
velikii [3]

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is <em>x, x</em> + 2, and <em>x </em>+ 3.

So, our first term is <em>x</em>.

Then our second term will be our first term multiplied by the common ratio <em>r</em>. So:

x+2=xr

And our third term will be our first term multiplied by the common ratio <em>r</em> twice. Therefore:

x+3=xr^2

Solve for <em>x</em>. From the second term, we can divide both sides by <em>x: </em>

\displaystyle r=\frac{x+2}{x}

Substitute this into the third equation:

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Square:

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Simplify:

\displaystyle x+3=\frac{(x+2)^2}{x}

We can multiply both sides by <em>x: </em>

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Expand:

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Isolate the <em>x: </em>

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So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of <em>x</em>, <em>x</em> + 2, and <em>x</em> + 3.

So, our fifth term is -1/4.

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