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AysviL [449]
3 years ago
5

A gym membership at A costs $10/month plus a one-time membership fee of $15, and at B, the memberships costs $4/month plus a one

-time $40 fee. After about how many months will the gym memberships cost the same amount?
Mathematics
1 answer:
lora16 [44]3 years ago
5 0

Answer: it will take about 5 months for the cost to be the same

Step-by-step explanation:

Let x represent the number of months it will take for the gym memberships to cost the same amount.

A gym membership at A costs $10/month plus a one-time membership fee of $15. This means that the total cost for x months would be

10x + 15

At B, the memberships costs $4/month plus a one-time $40 fee. This means that the total cost for x months would be

4x + 40

For the costs to be the same,

10x + 15 = 4x + 40

10x - 4x = 40 - 15

6x = 25

x = 25/6 = 4.2

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vitfil [10]
<h2>1)</h2>

(x - 4) {}^{2}  - 28 = 8 \\ (x - 4) {}^{2}  = 8 + 28 \\ (x - 4) {}^{2}  = 36

This must be true for some value of x, since we have a quantity squared yielding a positive number, and since the equation is of second degree,there must exist 2 real roots.

\sqrt{(x - 4) {}^{2} }  =  ± \sqrt{36}  \\x - 4 = ±6 \\ x _{1}- 4 = 6 \:  \:  \:  \:  \:  \:  \: \:  \:  \:  x _{2}- 4 =  - 6 \\ x_{1} = 6 + 4 \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x_{2} =  - 6 + 4 \\ x_{1} = 10 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \: \:  \: x_{2} =  - 2

<h2>2)</h2>

Well he started off correct to the point of completing the square.

(x - 3)  {}^{2}  = 16 \\ x - 3 = ±4 \\  \: x_{1}  - 3 = 4 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x_{2}  - 3 =  - 4 \\ x_{1}  = 7 \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x_{2}  =  - 1

8 0
1 year ago
zacharias is using the quadratic formula to solve the equation 0 = –2x2 5x – 3. he begins by substituting as shown. quadratic fo
Mice21 [21]
<span>the equation -2x² + 5x -3=0, we notice that the sum of the coefficient equals 0, -2+5-3=0, if such a case happens, the solution of the previous equation will be, x=1 (always) and x= c/a, a=-2, and c=-3, so x=-3/-2, finally, the answer is: the 2 in the denominator should be -2</span>
6 0
3 years ago
Read 2 more answers
Factor completely. n^2 + 7n - 44
4vir4ik [10]
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4 0
3 years ago
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A game involves correctly choosing the 5 correct numbers from 1 through 18 that are randomly drawn. What is the probability that
bazaltina [42]

Answer:

=\frac{1}{8568}\ = .00011\\\ =\frac{7}{8568}  = .00081

Step-by-step explanation:

5/18\cdot \:4/17\cdot \:3/16\cdot \:2/15\cdot \:1/14=\frac{1}{8568}

4 0
3 years ago
Find m∠PLO. Please help
notsponge [240]

Answer:

38

Step-by-step explanation:

Line KP is equal to 180 degrees.

The square on angle OLM means that angle is equal to 90 degrees.

Let angle PLO be represented as x.

That would make our equation be 52 + 90 + x = 180.

Start simplifying down to get x by itself.

180 - 90 = 90

52 + x = 90

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x = 38

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