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sergeinik [125]
3 years ago
14

The Tucker Gym charges a one time fee of $50 plus a $25 monthly membership

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

Answer:

y = 50 + 25x.............(i)

y = 80 + 15x.............(ii)

x = 3

y = 125

Step-by-step explanation:

The tucker Gym charges a one time fee of $50 plus a $25 monthly membership charge.  

The NoFo health club charges a one time fee of $80 plus a $15 monthly membership fee.

Let

number of month = x

total cost = y

Tucker Gym

y = 50 + 25x.............(i)

NoFo Gym

y = 80 + 15x.............(ii)

combining the equation

y = 50 + 25x.............(i)

y = 80 + 15x.............(ii)

y - 50 = 25x

y/25 - 2 = x

insert x in equation (ii)

y = 80 + 15(y/25 - 2)

y = 80 + 3y/5 - 30

y = 50  + 3y/5

y - 3y/5 = 50

5y - 3y/5 = 50

2y/5 = 50

cross multiply

2y = 250

y = 250/2

y = 125

insert y in equation (i)

125 = 50 + 25x

125 - 50 = 25x

75 = 25x

x = 75/25

x = 3

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Step 1

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Divide by 4 both sides

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Step 2

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we know that

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The equation of the line into point-slope form is equal to

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substitute in the equation

y+2=-\frac{3}{4}(x-8)

y=-\frac{3}{4}x+6-2

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y=-\frac{3}{4}x+4

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3x+4y=16

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Step-by-step explanation:

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We can write our transformed function as:

y=\frac{3}{4(x-3)}

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Now let us compare our transformed function with parent function.

Let us see rules of transformation.  

f(x-a)\rightarrow\text{Graph shifted to the right by a units},

f(x+a)\rightarrow\text{Graph shifted to the left by a units},

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If 0<a<1 , so function is compressed vertically.

As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.

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5 0
3 years ago
Given that Cosecant (t) = negative StartFraction 13 Over 5 EndFraction for Pi less-than t less-than StartFraction 3 pi Over 2 En
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Answer:

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Step-by-step explanation:

Given that:

Cosec (t) = -\frac{13}5

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That means, angle t is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

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3 years ago
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