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lisabon 2012 [21]
3 years ago
5

Set up and solve a system of equations to solve the problem. Casey wants to buy a gym membership. One gym has a $245 joining fee

and costs $40 per month. Another gym has no joining fee and costs $75 per month. When would Casey pay the same amount to be a member of either gym? How much would he pay? F(t) = + t g(t) = t After months, Casey would have paid $ at either gym.
Mathematics
1 answer:
DochEvi [55]3 years ago
7 0

Answer:

7 months

Step-by-step explanation:

To find the amount the gym memberships will be the same, write a system of equations and find their intersection point. The intersection point will be the two equations equal to each other.

Gym 1 charges a one time joining fee of $245 and then adds to that $40 a month or 40m. So together the cost is 245 + 40m.

Gym 2 charges $0 or no joining fee. Then adds $75 per month or 75m.

So to find when they are equal, then 75m = 245 + 40m. Solve for m.

75m = 245 + 40m

35m = 245

m = 7

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Alona [7]

Answer:

216

Step-by-step explanation:

If you just paint the surface of the cube, then the inside of the cube would not have any of their faces painted red.

Just looking at the cube from a side view, you would realize that there would be a smaller cube, 6 x 6 x 6 (not 7 since you have to account for both the top side and the bottom side), and so that is the answer, 6 ^ 3, which is 216.

8 0
3 years ago
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Let f(x) = -2x + 7 and g(x) = -6x + 3. Find fxg and state its domain.
marissa [1.9K]

Option D: (f\times g)(x)=12 x^{2}-48 x+21; all real numbers.

Explanation:

Given that the functions are f(x)=-2 x+7 and g(x)=-6 x+3

We need to determine the value of (f\times g)(x) and its domain.

<u>The value of </u>(f\times g)(x)<u>:</u>

The value of (f\times g)(x) can be determined by multiplying the two functions.

Thus, we have,

(f\times g)(x)=f(x)\times g(x)

                =(-2x+7)(-6x+3)

                =12x^2-6x-42x+21

(f\times g)(x)=12 x^{2}-48 x+21

Thus, the value of (f\times g)(x) is (f\times g)(x)=12 x^{2}-48 x+21

<u>Domain:</u>

We need to determine the domain of the function (f\times g)(x)

The domain of the function is the set of all independent x - values for which the function is real and well defined.

Thus, the function (f\times g)(x)=12 x^{2}-48 x+21 has no undefined constraints, the function is well defined for all real numbers.

Hence, Option D is the correct answer.

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Answer:

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Step-by-step explanation:

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