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Sholpan [36]
3 years ago
15

Randy wants to join a gym to lose his winter weight. Gym A has a membership fee of $39 and charges $30 per month. Gym B has a me

mbership fee of $89 and charges $20 per month. After how many months would the amount of money paid at each gym be the same? How much would be paid?
Mathematics
1 answer:
siniylev [52]3 years ago
8 0

Answer:

5 months

Step-by-step explanation:

Value m= months

Gym A Money needed to pay= 30m+ 39

Gym B Money needed to pay= 20m+ 89

30m+ 39= 20m+ 89

Now isolate m

(30m-20m) + (39-39)= (20m-20m) + (89-39)

10m = 50

10m/10= 50/10

m=5; You can plug this number in to check my answer.

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Solve the quadratic equation 4x2 − 121 = 0. Verify your answer using a difference-of-squares factoring method.
Alenkasestr [34]

Answer:

Option d) is correct

That is x equals plus or minus start fraction 11 over two end fraction

Step-by-step explanation:

Given quadratic equation is 4x^2-121=0

To write the given quadratic equation by using a difference-of-squares factoring method:

4x^2-121=0

The above equation can be written as

4x^2-11^2=0

(2x)^2-11^2=0

The above equation is in the form of difference-of-squares

Therefore the given quadratic equation can be written in the form of difference-of-squares

by factoring method is (2x)^2-11^2=0

(2x+11)(2x-11)=0 (which is in the form a^2-b^2=(a+b)(a-b) )

2x+11=0   or   2x-11=0

x=\frac{-11}{2}    or   2x=11

x=\frac{-11}{2}    or   x=\frac{11}{2}

x=\pm \frac{11}{2}

Therefore option d) is correct

That is x equals plus or minus start fraction 11 over two end fraction

5 0
3 years ago
A student must answer any three of the four essay questions on a social studies test. How many different selections of questions
Musya8 [376]
I'm pretty sure it would be 12....I think.
4 0
3 years ago
Substitution: y-2x=-6 and 5x-y=9
Dmitrij [34]
<span>y-2x=-6 and 5x-y=9   

step 1: isolate y in the first equation

y = 2x - 6

step 2:  substitute the y value on the 2th equation:

5x-(2x-6)=9

step 3:  solve the present equation:

5x - 2x + 6 = 9
3x = 9-6
3x = 3
x = 1

step 4: get the y value by replacing the value of x in </span>y = 2x - 6:
<span>
y = 2*1 - 6
y = 2 - 6
y = -4

S={1, -4}



</span>
7 0
3 years ago
Read 2 more answers
Which two functions are inverses of each other? A. f(x) = x, g(x) = –x B. f(x) = 2x, g(x) = -1/2x C. f(x) = 4x, g(x) = 1/4x D. f
Archy [21]
B. f(x)=2x, g(x)= -1/2x. Hope this helps. :-)
3 0
4 years ago
Read 2 more answers
For the pair of functions, find the indicated sum, difference, product, or quotient. f(x) = 16 - x2; g(x) = 4 - x Find (f + g)(x
Rudik [331]
(16-x²)+(4-x) or (-x²+16)+(-x+4)

Combine like terms

(-x²+20-x) or (-x²-x+20)
7 0
4 years ago
Read 2 more answers
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