A gym is offering a deal to members. Customers can sign up by paying a registration fee of $100 and $28 per month. The function that models this situation is c(m) = 28m + 100, where m is the number of months and c(m) is the cost of becoming a member.
Determine:
6. the shape of the graph



7. the independent and dependent variables


8. the domain and range


9. Interpret the slope and y-intercept values


10. How much will the membership cost for a whole year?

Answers

Answer 1

6) The equation given is written in standard form of writing the equation of a line y = mx + b

Hence the shape of the graph that denotes the equation c(m) = 28m + 100 is a straight line

7) The independent variable is a variable that can stand alone while the dependent variable is depending on all other variables in an expression.

From the given equation c(m) = 28m + 100, the independent variable is (m) while the dependent variable is c(m)

8) The domain is the input value for which the equation exists while the rage is the output value for which the equation exists. For the given expression, the value of the expression will exist at a point where c(m) > 0

28m + 100 > 0

28m > -100

m > -100/28

m > --25/7

The domain is m > -25/7 while the range is c(m) > 0

9) The comparing the equation with y = xm+ b

where x is the slope

28m = mx

x = 28

This shows that the rate of change of cost per member is $28

The y-intercept is the point where the number of months is 0

If m = 0

c(0) = 28(0) + 100

c(0) = 100

The initial cost of membership in the first month is $100

10) Given the formula c(m) = 28m + 100

For a whole year, m = 12

c(12) = 28(12) + 100

c(12) = 336 + 100

c(12) = 436

Hence the membership will cost $436 for the whole year

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Yes, No, No, Yes.
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the inequality Is showing that -1 is less than or equal to t. If t was -2 then this would not make sense, since -1 is greater than -2.

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6.7 problem 13
A rubber ball is dropped onto a hard surface from a height of 8 feet, and it bounces up and down. At each bounce it rises to 85% of the height from which it fell. (Hint: Read all units carefully!)

(a) Find a formula for h(n), the height in inches reached by the ball on bounce n.
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(b) How high will the ball bounce on the 8th bounce?
h=

(c) How many bounces before the ball rises no higher than an inch?

Answers

Answer:

a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet).  You can see where this is going. After n bounces the ball will be at

[tex]h(n) = (85\%)^n 6ft = (\frac{17}{20})^n(6ft\times 12\frac{in}{ft}) = (\frac{17}{20})^n\times72'[/tex]

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[tex]h(8)=(\frac{17}{20})^8\times 72' = 19.62'[/tex]

c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous [tex]h(n)[/tex]increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:

[tex]1>(\frac{17}{20})^n\times 72[/tex] Let's first isolate the fraction by dividing by 72.

[tex](\frac{17}{20})^n<\frac1{72}[/tex]  Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:

[tex]ln ((\frac{17}{20})^n) < ln \frac 1{72} \rightarrow n\times ln (\frac{17}{20}) < -ln72[/tex]. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:

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Answers

Answer:

=8(−3a−2b+5)

Step-by-step explanation:

Rewrite the 40 as 5*8.

Rewrite -16 as 2*8

Rewrite -24 as 3*8

= 3* 8a+2*8b+5*8

8(−3a−2b+5)

Work out the circumference of this circle.
Take it to be 3.142 and write down all the digits given by your calculator.
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Answers

Answer:

62.84

Step-by-step explanation:

pie=3.142

c=pie * diameter

r=10cm

d=2r

d=2(10)=20cm

c=3.142 * 20

c=62.84

Step-by-step explanation:

Formula for the Circumference of a circle = 2πr

C = 2πr

C = (2 * 3.142) * 10

C = 6.284 * 10

C = 62.84cm

20x29 devided by 9+20=?



help​

Answers

Answer:

20

Step-by-step explanation:

[tex] \frac{20 \times 29}{29} = 20[/tex]

Answer:

20X29 devided by 9+20=84.4444444444

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Answers

1/6 of the circle is not shaded. That is equal to 16.67%

Find x from this equation 7x-5=10-3x

Answers

Answer:

x=1.5

Step-by-step explanation:

7x-5=10-3x <=>7x+3x=10+5 <=> 10x=15 <=> x= 3/2 = 1.5

ok done. Thank to me :>

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Answers

I think it would just be 34. There is a difference of 20 between -20 and 0 and a difference of 14 between 14 and 0. 20+14=34

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WILL MARK BRAINLIEST

Answers

Answer:

Y=2x- 5

       -----

          2

Step-by-step explanation:

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Step-by-step explanation:

just apply to the power of 2 to every term

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16x^4y^2a^6

Answer:

16x^4y^2a^6

Step-by-step explanation:

Do this step by step

16x^4y^2a^6

Please give brainliest!


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simplest radical form.
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Answers

Answer:

12

Step-by-step explanation:

The Pythagorean theorem shows that 400 or 20² - 256 or 16² = 144 or 12² which means that the other side is 12

x=12

Someone help mah
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A) 3/5

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Answers

Answer:

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Step-by-step explanation:

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6

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Answer:

Step-by-step explanation:

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Answers

Answer:

[tex]- \frac{1}{3} * 3^n[/tex]

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Answers

Answer:

55 degrees

Step-by-step explanation:

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Answers

Answer:

median = 36

Step-by-step explanation:

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help meeeeeee.....!!!!
I WILL MARK BRAINIEST!!!

Answers

You just plug 0 in for either x or y to get the other intercept since it’s in standard form
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Answer:

X = 35/8

Y = -5

3g + 4y - 8 + 2t + 5

Answers

Answer: 3g + 4y - 13 + 2t

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

B because  did the same exact test

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Answers

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Step-by-step explanation:

The ratio is Bill : Harvey : Ruth

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Answers

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Answer:

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Step-by-step explanation

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Carl is looking for tickets to a concert. Last week he found them for $35.00 each ticket. This week the price is $54.00 for each ticket. Did the price increase or decrease? What was the percent change in price? (Show all of your work)

Answers

Answer:

See Below

Step-by-step explanation:

Lets note some facts,

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This weeks price: $54

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Please help if it's right I'll give brainliest

Answers

Answer:

Since XBC is 55 degrees and triangle BXC is isosolese, angle BCX is also 55 degrees. 180 - 110 = 70

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Which is the best example of anticipating a potential accident in a science lab? A student skips the instructions because she has performed the lab before. A student checks for flammable liquids before lighting the Bunsen burner. A student keeps a glass of water on her lab bench in case she gets thirsty. A student works quickly so that she can be on time for her next class

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Answer: C

Step-by-step explanation:

i took the test

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