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andrew-mc [135]
2 years ago
12

A health club charges non-members $5 per day to swim and $9 per day for an exercise class. Members pay a yearly fee of $300 plus

$4 per day to attend an exercise class and no swim fee. If Robert swims and takes an exercise class every time he goes to the gym, which equation shows the number of days he must use the gym to make the membership worthwhile? m
Mathematics
1 answer:
Ludmilka [50]2 years ago
8 0

Answer:

300+4x < (9+5)*x

Step-by-step explanation:

x is number of times Robert goes to the gym

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Jerome solved the equation below by graphing.
riadik2000 [5.3K]

Jerome rewrote the logarithms as

\log_2x=\dfrac{\log x}{\log2}

\log_2(x-2)]=\dfrac{\log(x-2)}{\log 2}

which eliminates C and D.

Solve the equation:

\log_2x+\log_2(x-2)=\log_2x(x-2)=3\implies 2^{\log_2x(x-2)}=2^3\implies x(x-2)=8

\implies x^2-2x-8=(x-4)(x+2)=0\implies x=4\text{ or }x=-2

\log_b(-2) is undefined for any base b (where the logarithm is real-valued), so we omit that solution.

This makes B the answer.

6 0
2 years ago
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By which smallest number should 42592 be divided so that the quotient is a perfect cube?​
QveST [7]

Answer:

it's 55

Step-by-step explanation:

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8 0
2 years ago
Simplify x+2/x^2-6x-16 divided by 1/9x<br>a. 10x/x+4<br>b. x+4<br>c. 10x^2(x+2)/x+6<br>d. 9x/x-8
mel-nik [20]
The answer for x^2-6x-16 is (x-8) (x+2) or x = -2

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2 years ago
Here are the dimensions of the oven tray Lucy bakes the cakes on. ←700mm→↑600mm↓.A cake tin is 25cm in diameter. How many cake t
GREYUIT [131]
700*600=420,000
420,000/10=42,000
Diameter = 25
so radius = 12.5
Pi*12.5^2=625/4Pi
42,000/625/4 Pi =86.56169741
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8 0
2 years ago
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Sanjay consulted three electricians about upgrading the wiring in his home. Each electrician uses a linear formula that incorpor
Reptile [31]
<u><em>Answer:</em></u>
b.Each electrician charges a different base fee:

<u><em>Explanation:</em></u>
<u>Each of the equations has two parts:</u>
1- base fee that is independent of any variable (this would be the number that has no variable next to it)
2- an hourly rate depending on the number of hours x (this would be the number that has an x next to it)

<u>For the first electrician:</u>
y = 25x + 30
base fee = $30
hourly rate = $25

<u>For the second electrician:</u>
y = 30x + 25
base fee = $25
hourly rate = $30

<u>For the third electrician:</u>
y = 25x + 20
base fee = $20
hourly rate = $25

<u>Now, let's check the choices:</u>
<span><u>a.Each electrician charges a different hourly rate:</u>
</span>This is incorrect as electricians 1 and 3 charge the same hourly rate ($25)

<span><u>b.Each electrician charges a different base fee:</u>
This is correct as all three base fees are different ($30, $20 and $25)

</span><span><u>c.All three electricians charge the same hourly rate:</u>
This is incorrect as electrician 2 has a different hourly rate

</span><span><u>d. All three electricians charge the same base fee:</u>
This is incorrect as the base fees for the three electricians are different ($30, $25 and $20)

Hope this helps :)</span>
4 0
2 years ago
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