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Natasha2012 [34]
3 years ago
11

PLS HELP - 20 POINTS!!

Mathematics
2 answers:
AVprozaik [17]3 years ago
7 0

Step-by-step explanation:

EZ = $0.15/min...eqn 1

Go = $40 + $0.05/min...eqn 2

let x be no of minutes then combine both eqns...

=> 0.15x = 40 + 0.05x...eqn 3

=> 0.1x = 40

x = 400

thus at 400mins both plans are equal

at 200mins go wit EZ...

total bill = $0.15 × 200 = $30.00

ozzi3 years ago
6 0

Answer:(a)400min

(b)EZ plan

Step-by-step explanation:

Given

For EZ plan cost $0.15 per minute

and Go Plan cost $40 + $0.05 per month

so for t minutes in a month both plan cost equals when

0.15t=40+0.05t

0.1t=40

t=400 minutes

for 400 minutes both cost equal.

(b)For 200 minutes

EZ plan cost

200\times 0.15=$30

GO plan costs

40+200\times 0.05=40+10=$50

So for 200 minutes we can use EZ plan

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Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

f (x) = -2x ^ 2 + 16x-30

<em>Take -2 as a common factor.</em>

-2(x ^ 2 -8x +15)

<em>Now factor the expression x ^ 2 -8x +15</em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

f (x) = -2(x-5)(x-3)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form ax ^ 2 + bx + c the x coordinate of its vertex is:

x = \frac{-b}{2a}

In the function f (x) = -2x ^ 2 + 16x-30

a = -2\\b = 16\\c = 30

<u>Then the vertice is:</u>

x = \frac{-16}{2(-2)}\\\\x = 4

The y coordinate of the symmetry axis is

y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0
3 years ago
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