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riadik2000 [5.3K]
3 years ago
6

Write the expression 5x(x+9) -7(x+9) complete factored form.

Mathematics
2 answers:
DedPeter [7]3 years ago
8 0
I hope this helps you

Sergio039 [100]3 years ago
5 0

Answer:

The complete factored form of the equation 5x(x-9)-7(x-9) is (5x-7)(x-9). neither option of the list satisfies this factored form.

Step-by-step explanation:

Remember that factorize is the inverse procedure of applying the distribution of the product respect to the sum:

a.b +a.c = a(b+c)

In the equation, the factorized form represents the right member.

So, when factorizing an expanded equation it has to find the common (a) factor of each term (a.b and a.c). In this case, we have the factor x+9 multiplying in both terms, so this would be our common term a. This lets factors 5x and -7, being factors b and c respectively, with we will construct the factored form:

(x+9)(5x-7)

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3 years ago
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The question is attached in the image.

1- Carlo thinks he will go to the gym 20 times this month. Calculate how much each of these options will cost Carlo for one month.
a- Pay as you go:
Total cost = 6 * 20 = $120
b- Regular deal:
Total cost = 50 + 2(20) = 50 + 40 = $90
c- All-in-one-price:
Total cost = $100
d- The least expensive for Carlo in this case would be the regular deal.

2- How many visits each month would make the cost of the Regular-Deal and the All-in-one the same?
Assume number of visits is x.
Regular deal = All in one
50 + 2x = 100
2x = 100 - 50
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x = 25 visits

3a- It costs $300 to join the new Superfit Gym. You then pay $15 each month and $2 each time you work out. Carlo thinks he will use the gym 20 times each month for a year.
Calculate the cost of the Superfit gym for one year.
Total cost = initial payment + 15*number of month + 2*days of workout
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15*number of months = 15 * 12 = $180
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3b- How much will Carlo save during the first year if he uses the Superfit gym rather than the regular deal at the other gym?
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Total cost at other gym = monthly cost + cost of each workout
Total cost at other gym = 50(12) + 2(12)(20) = $1080
Then, we will calculate the difference to know the amount Carlo would save as follows:
Carlo would save = 1080 - 960 = $120

Hope this helps :)

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