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SVEN [57.7K]
3 years ago
13

Two health clubs offer different pricing plans for their members. Both health clubs charge a one-time sign-up fee and a monthly

membership fee. The graph below represents what Health Club A charges.
The table below represents what Health Club B charges.

Mathematics
2 answers:
skelet666 [1.2K]3 years ago
8 0

Answer:

The answer is below

Step-by-step explanation:

The question is not complete but I would show how this charges can be represented by an equation.

For health club A:

The graph (x, y) passes through the points (2, $136) and (4, $242). Let x represent the total months and y represent the total charges. The equation is given by:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-136=\frac{242-136}{4-2}(x-2)\\\\y-136=53(x-2)\\\\y-136=53x-106\\\\y=53x+30

For health club B:

The table (x, y) has the points (4, 173) and (6, 23y). Let x represent the total months and y represent the total costs. The equation is given by:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-173=\frac{237-173}{6-4}(x-4)\\\\y-173=32(x-4)\\\\y-173=32x-128\\\\y=32x+45

Digiron [165]3 years ago
4 0

Answer:

please leave your message for

Step-by-step explanation:

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(09.02 HC)
Vesna [10]
We factor the equation to get:

-(x-25)^2+361

In the form a(x-h)^2+k, the vertex is (h, k), so the vertex is (25, 361).  This means that the studio makes the most profit from selling 25 memberships, and thus makes 361 dollars.

B.  The x-intercepts are the values of x for which f(x) is 0.  This equation can be factored as (-a+6)(a-44)=0, with solutions 6 and 44.  Therefore, by selling either 6 memberships or 44 memberships, the studio breaks even, neither making nor losing money.
4 0
3 years ago
(-9,5); m=4 right and equation in point slope form of the line that passes through the given point and with the given slope M
NikAS [45]

Answer:

Slope form of line  y = 4x +41

Step-by-step explanation:

m= 4

The y-intercept of the line that passes through the given point  (-9,5) is

5 = 4(-9) + b

b= 5 +36

b=41

The equation of the line that passes through the given point  (-9,5) is

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6 0
2 years ago
16x^2-12x=54. Find the real solutions.
ELEN [110]
Yes just do that.................... ....m
5 0
3 years ago
t When you reverse the digitals in a certain number you increase its value by 27. Find the number if the sum fixes digits is 9.
TiliK225 [7]
The number=10x+y
we suggest this system of equations:
(10y+x)-(10x+y)=27
x+y=9                                ⇒x=9-y

Can solve this system of equations by susbstitution method.
(10y+(9-y)-(10(9-y)+y)=27
10y+9-y-(90-10y+y)=27
10y-y+10y-y=27-9+90
18y=108
y=108/18
y=6

x=9-y
x=9-6
x=3

The number=10x+y=10(3)+6=36

Answer: the number is 36.

to check:
63-36=27
6+3=9
3 0
4 years ago
What is the word form of 3.75
Anna [14]
The given number is 3.75, we will read the number separately first as follows:
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after the decimal point we have a .75 which is read as seventy-five hundredth

So, combing the two parts, we can find that the word form of 3.75 is:
three and seventy-five hundredth.
6 0
4 years ago
Read 2 more answers
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