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?

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)

Answer:

20

Step-by-step explanation:

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

Answer:

20X29 devided by 9+20=84.4444444444

Answer:

67760000000

Step-by-step explanation:

Answer:

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

so angle BXC is 70 degrees.

Answer:

See Below

Step-by-step explanation:

Lets note some facts,

Last weeks price for tickets: $35

This weeks price: $54

If you were to ask if these numbers increased or decreased, the numbers increased.

It increased by 19%, for as 19 dollars.

Hope this helps!

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

Step-by-step explanation:

[tex]3g + 4y - 8 + 2t + 5 \\ 3g + 4y + 2t - 8 - 5 \\ = 3g + 4y + 2t - 3[/tex]

Answer:

median = 36

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order.

8   19   36   46   56

            ↑ middle value

median = 36

Answer:

Y=2x- 5

       -----

          2

Step-by-step explanation:

Answer:

55 degrees

Step-by-step explanation:

Angles RSP and QPS are Alternate Interior Angles. Given that OQ and RT are parallel, alternate interior angles are always congruent, meaning they have the same measure.

So if angle RSP is 55 degrees and it is congruent to angle QPS, then angle QPS is 55 degrees.

Answer:

X = 35/8

Y = -5

Answer:

15°

Step-by-step explanation:

Answer: 9:6:15

Step-by-step explanation:

The ratio is Bill : Harvey : Ruth

We are told that bill and ruth both eat 24 sprouts together. The ratio for bill and Ruth would be 3:5

Add the ratios together to get 8

Then divide the amount (24) by 8

This gives you 3. Then times all he numbers in the ratio by 3 to get the answer ; 9 : 6 : 15

Answer: [tex]16x^4y^2a^6[/tex]

Step-by-step explanation:

just apply to the power of 2 to every term

-4 times -4 is 16

x^2 to power of 2 is 2 times 2 so x^4

y^2 is y^2

a^3 to power of 2 is 3 x 2 = 6 so a^6

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!

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

Answer:

10

Step-by-step explanation:

x is 10

Answer: C

Step-by-step explanation:

i took the test

Answer:

The answer is 1.5

Step-by-step explanation

First you want to find the rise. This is the amount of height between the two points (Y) and divide them over the run. This is amount of distance (X) between the points. This will be 6/4. Divide this and you have your answer!

Answer:

3

Step-by-step explanation:

1+2+3+3+4+5

6

=18 =3

6

=3

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]

b. After 8 bounces we can apply the previous formula with n = 8 to get

[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:

[tex]-(0.16)n < - 4.27 \rightarrow n>26.31[/tex] Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.

Answer:

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

Step-by-step explanation:

This is a geometric sequence/progression

Therefore, we use the formula [tex]a_{n} = \frac{a_{1} * r^n}{r}[/tex]

Where [tex]a_{1}[/tex] [tex]=[/tex] [tex]-1[/tex],

and [tex]r = 3[/tex]

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

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

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 :>

Answer:

y = -2x + 1

Step-by-step explanation:

A parallel line has the same slope but different y-intercept.

Transfer the slope (-2) and the ordered pair (2, -3) into point slope form.

Then make it from point slope form to slope intercept.

Hope this helps you. :)

Answer:

Step-by-step explanation:

B because  did the same exact test

Answer:

Step-by-step explanation:

A standard 9V battery has about 400-600 mAh capacity. In the most basic terms, these batteries can supply about 500 milliamps for one hour before being "dead".

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