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Sidana [21]
3 years ago
6

A local newspaper charges $18 for the first 3 lines of a want ad, and then $6.50 for each additional line. Express the cost of a

n x-line ad, c(x), as a piecewise function. unit 5 financial algebra
Mathematics
1 answer:
Vinil7 [7]3 years ago
4 0

Answer:

c(x) =  

  • 18x                                                      for x≤3
  • 54 + 6.5(x - 3)                                     for  x >3

Step-by-step explanation:

Charges are :-

$ 18 for the first three lines of the add and $6.50 for each additional line

Thus,

for x ≤ 3 , cost will be c(x) = 18x

and if x > 3 , cost for the first 3 lines will be 18×3 = 54 dollars and then cost will increase by $6.50 for each additional line.

Thus c(x) = 54 + 6.5(x - 3)

So, the piecewise defined function c(x) can be represented by :-

c(x) =  

  • 18x                                                      for x≤3
  • 54 + 6.5(x - 3)                                     for  x >3
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Rina8888 [55]

Answer:

A

Step-by-step explanation:

Aquí, tenemos 2/3 como hombres.

La fracción de mujeres es, por lo tanto, 1-2 /3 = 1/3

Entonces 1/3 de 84 son mujeres Por lo tanto, el número de mujeres es 1/3 * 84 = 28

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What kind of solution is -4x-4=-7(x+4) ?
natima [27]

~ Simplifying

-4x + -4 = -7(x + 4)

~ Reorder the terms:

-4 + -4x = -7(x + 4)

~ Reorder the terms:

-4 + -4x = -7(4 + x)

-4 + -4x = (4 * -7 + x * -7)

-4 + -4x = (-28 + -7x)

~ Solving

-4 + -4x = -28 + -7x

~ Solving for variable 'x'.

~ Move all terms containing x to the left, all other terms to the right.

~ Add '7x' to each side of the equation.

-4 + -4x + 7x = -28 + -7x + 7x

~ Combine like terms: -4x + 7x = 3x

-4 + 3x = -28 + -7x + 7x

~ Combine like terms: -7x + 7x = 0

-4 + 3x = -28 + 0

-4 + 3x = -28

~ Add '4' to each side of the equation.

-4 + 4 + 3x = -28 + 4

~ Combine like terms: -4 + 4 = 0

0 + 3x = -28 + 4

3x = -28 + 4

~ Combine like terms: -28 + 4 = -24

3x = -24

~ Divide each side by '3'.

x = -8

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x = -8

8 0
3 years ago
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How can we simplify radicals involving negative values?
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Answer:

using imaginary numbers

Step-by-step explanation:

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3 years ago
In a G.P the 3rd term is 4 times the 1st term and the sum of the 2nd term and the 4th term is 30.find the common ratio,find the
STALIN [3.7K]

Answer:

the common ratio is either 2 or -2.

the sum of the first 7 terms is then either 765 or 255

Step-by-step explanation:

a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.

so,

a1

a2 = a1×f

a3 = a2×f = a1×f²

a4 = a3×f = a1×f³

the problem description here tells us

a3 = 4×a1

and from above we know a3 = a1×f².

so, f² = 4

and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).

again, the problem description tells us

a2 + a4 = 30

a1×f + a1×f³ = 30

for f = 2

a1×2 + a1×2³ = 30

2a1 + 8a1 = 30

10a1 = 30

a1 = 3

for f = -2

a1×-2 + a1×(-2)³ = 30

-10a1 = 30

a1 = -3

the sum of the first n terms of a geometric sequence is

sn = a1×(1 - f^(n+1))/(1-f) for f <>1

so, for f = 2

s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765

for f = -2

s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =

= -1×-255 = 255

4 0
3 years ago
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