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ladessa [460]
4 years ago
10

A one-year membership to a health club costs $480. This includes a $150 fee for new members that are paid when joining. What wou

ld be the equation that represents the monthly cost x in dollars for a new member?
Mathematics
2 answers:
Paul [167]4 years ago
8 0


f(x) = 150 + 480x
Svetllana [295]4 years ago
8 0
12x + 150 = 480

I believe this is correct because when you solve for x, it gives you the price per month. When you multiply the price per month ($27.50) times 12+150, you do get the $480.

How I got this was that I started with 480 and subtracted the 150 fee because thats a one time payment. then I divided 330/12 to give me the price per month which is the (27.50). You want x to be dollars, so I made it 12x rather than 27.50x because if it was 27.50x, x would be in months, not dollars.
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Here's the answer right here

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3 years ago
Find the x-intercepts/roots of the polynomial function. Also, identify the degree of the polynomial
Mrac [35]

Answer:

Step-by-step explanation:

7.

roots=-2,-1,1,3

critical points=(-1.5,-3),(0,6),(2,-13)

absolute minimum=-13

End behavior :approaches +infinity

Relative max=6 at (0,6)

Relative min. =-3 at (-1.5,-3)

and -13 at (2,-13)

interval of increase=(-1.5,0)∪(2,∞)

interval of decrease=(-∞,-1.5)∪(0,4)

8.

roots=-1,2

critical points=(0.5,10.5),(4,-10.5)

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End behavior:-∞ to +∞

Relative max=10.5

Relative min=-10.5

interval of increase=(-∞,0.5) ∪ (4,∞)

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4 0
3 years ago
PRACTICE ANOTHER A piece of wire 18 m long is cut into two pieces. One piece is bent into a square and the other is bent into an
sergejj [24]

Answer:

Step-by-step explanation:

We have the equations

4x + 3y = 18   where x = the side of the square and y = the side of the triangle

For the areas:

A = x^2 + √3y/2* y/2

A = x^2  + √3y^2/4

From the first equation x = (18 - 3y)/4

So substituting in the area equation:

A = [ (18 - 3y)/4]^2 + √3y^2/4

A = (18 - 3y)^2 / 16 + √3y^2/4

Now for maximum / minimum area the derivative = 0 so we have

A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0

-3/8 (18 - 3y) + √3 y /2 = 0

-27/4 + 9y/8 + √3y /2 = 0

-54 + 9y + 4√3y = 0

y = 54 / 15.93

= 3.39 metres

So x = (18-3(3.39) / 4 = 1.96.

This is a minimum value for x.

So the total length of wire the square  for minimum  total area is 4 * 1.96

= 7.84 m

There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.

3 0
3 years ago
What is the constant term in the polynomial 2x3 - 8x2 + 5x -28
cricket20 [7]

Answer:

Constant Term

The term in a simplified algebraic expression or equation which contains no variable(s). If there is no such term, the constant term is 0.

 

Example:   –5 is the constant term in p(x) = 2x3 – 4x2 + 9x – 5

 

6 0
3 years ago
May I please receive help?
GrogVix [38]

Answer:

24°

Step-by-step explanation:

(4y-4)+(180-52)+3y = 180°

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7y = 56

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SO ∠x = 3y

∠x = 3(8)

∠x = 24

3 0
3 years ago
Read 2 more answers
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