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mash [69]
3 years ago
6

A cell phone company offers two plans.

Mathematics
1 answer:
Aneli [31]3 years ago
3 0

Answer:

80 minutes

Step-by-step explanation:

Represent Plan A as y = $26.50 + ($0.35/min)x, where x is the number of minutes consumed.  

Represent Plan A as y = $42.50 + ($0.15/min)x

We set these two equations equal to one another and solve for x, the number of minutes at which the costs of the two plans are momentarily equal:

y = $26.50 + ($0.35/min)x = y = $42.50 + ($0.15/min)x

Combining like terms, we get:             ($0.20/min)x = $16.00

                 

                  $16.00

Then x = -------------------- = 80 minutes

                 ($0.20/min)

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maria [59]

The point-slope formula:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-4, -1) and (5, 7).

Substitute:

m=\dfrac{7-(-1)}{5-(-4)}=\dfrac{7+1}{5+4}=\dfrac{8}{9}\\\\y-(-1)=\dfrac{8}{9}(x-(-4))\\\\\boxed{y+1=\dfrac{8}{9}(x+4)}

4 0
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Step-by-step explanation:

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yan [13]

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Step-by-step explanation:

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3 0
3 years ago
Write a polynomial function of least degree with integral coefficients that has the given zeros. -5, 3i
Virty [35]

Solving for the polynomial function of least degree with integral coefficients whose zeros are -5, 3i

 

We have:
x = -5

Then x + 5 = 0

Therefore one of the factors of the polynomial function is (x + 5)


Also, we have:
x = 3i
Which can be rewritten as:
x = Sqrt(-9)
Square both sides of the equation:
x^2 = -9
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Therefore one of the factors of the polynomial function is (x^2 + 9)


The polynomial function has factors: (x + 5)(x^2 + 9)
= x(x^2 + 9) + 5(x^2 + 9)

= x^3 + 9x + 5x^2 = 45

Therefore, x^3 + 5x^2 + 9x – 45 = 0

f(x) = x^3 + 5x^2 + 9x – 45

 

The polynomial function of least degree with integral coefficients that has the given zeros, -5, 3i is f(x) = x^3 + 5x^2 + 9x – 45

5 0
3 years ago
Two Δ are similar. The sides of the first Δ are 2,4,6. The largest side of the second Δ is 24. Find the perimeter of the second
Masja [62]

Answer:

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Step-by-step explanation:

Ratio of the perimeter = ratio of sides

Sides are in the ratio:

6 : 24

1 : 4

Perimeter of the first triangle:

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Perimeter of the second triangle:

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6 0
4 years ago
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