Mathematics, 27.02.2021 05:50 jbrowley

I need help with this because this extremely confuses me.

Answers: 3

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Answer from: oakleylynn

9514 1404 393

6 months

Step-by-step explanation:

There are a couple of ways you can work a problem like this. I like to start by looking at the differences in fixed costs and in monthly fees.

The gym with a higher fixed cost has a lower monthly fee, and vice versa. This is usually the case for algebra problems.

The difference in "fee to join" is $200 -20 = $180.

The difference in "charge per month" is $40 -10 = $30.

So, if I pay $180 more up front, I can save $30 per month. It will take me ...

$180/$30 = 6

months for the total of my savings to match the cost I paid up-front.

Another way to work problems like this is to write an equation for the cost of membership at each gym. If we let x represent months of membership, the cost (g) at Grim's gym is ...

g = up-front cost + (monthly cost) times x

g = 200 +10x

Similarly the cost (m) at Mandy's gym is ...

m = 20 +40x

The question asks the value of x (number of months) it will take for the costs to be equal.

g = m

(200 +10x) = (20 +40x)

180 +10x = 40x . . . . . . . . . subtract 20 from both sides

180 = 30x . . . . . . . . . . . . . . subtract 10x from both sides

You may recognize this equation as saying the difference in join fees is equal to the difference in monthly charges after x months. That is where we started at the beginning.

180/30 = 30x/30 . . . . . . divide both sides of the equation by 30

6 = x . . . . . simplfy

It will take 6 months for the total cost to be equal for Grim and Mandy.

Answer from: mustachegirl311

I think it would be 6 months

Answer from: Quest

answer

the correct answer is

$x=-5,x=7$

explanation

the given function is

$\frac{ {x}^{2} - 3x - 28 }{x {}^{2} - 2x - 35}$

the excluded values are obtained by solving:

${x}^{2} - 2x - 35 = 0$

we factor to obtain:

$(x + 5)(x - 7)= 0$

the excluded values are

$x=-5,x=7$

What are the excluded values of x for.. (look at picture)

Answer from: Quest

The coordinates of point a right now is (-3,-1) you have to multiply these coordinates by a factor of 2 to get (-6,-2)
If abcd is dilated by a factor of 2, the coordinate a would be:

If abcd is dilated by a factor of 2, the coordinate a would be:

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I need help with this because this extremely confuses me.
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