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ivolga24 [154]
3 years ago
6

Find a​ point-slope form for the line with slope 1/5 and passing through the point (-7,-3)

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
4 0
Point slope: y - y1 = m(x - x1)
Plug everything in
Point slope: y + 3 = 1/5(x + 7)
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A rose garden can be planted for $4000. The marginal cost of growing a rose is estimated to $0.30,
wariber [46]

Answer:

C(x)=4000+0.3x

R(x)=1.75x

Profit= 1.45x-4000

Step-by-step explanation:

We are given that A rose garden can be planted for $4000.

The marginal cost of growing a rose is estimated to $0.30,

Let x be the number of roses

So, Marginal cost of growing x roses = 0.3x

Total cost = 4000+0.3x

So, Cost function : C(x)=4000+0.3x ---A

Now we are given that the total revenue from selling 500 roses is estimated to $875

So, Marginal revenue = \frac{\text{Total revenue}}{\text{No. of roses}}

Marginal revenue = \frac{875}{500}

Marginal revenue = 1.75

Marginal revenue for x roses  = 1.75x

So, Revenue function =  R(x)=1.75x ----B

Profit = Revenue - Cost

Profit= 1.75x-4000-0.3x

Profit= 1.45x-4000  ---C

Now Plot A , B and C on Graph

C(x)=4000+0.3x  -- Green

R(x)=1.75x  -- Purple

Profit= 1.45x-4000  --- Black

Refer the attached graph

6 0
3 years ago
Please answer ASAP! How many cubes with side lengths of 1/4 cm does it take to fill the prism? PLEASE HELP!
Vanyuwa [196]

Answer:

4 and 1/4 i think

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
You have a bag of 63 candies you want to give to your 9 friends. The company that makes the candies guarantees that exactly 9 of
Liono4ka [1.6K]

Answer:

the probability you lose one or more friends is 0.9836

Step-by-step explanation:

 Given the data in the question;

P( you lose one or more friend ) = 1 - P( keeping all friends )

Now, keeping all friends is possible only when each friend receives red candy.

As there are only 9 red candies and 9 friends, 1 red candy needs to be given to each friend out of 9 candies

Thus, total candies given = 63

and each friend will get 8 non red and 1 red candy

Thus, P( keeping all friends )

= [ ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ ] / × ⁶³C₉

SO

⁹C₁  = 9!/(1!(9-1)!) = 9 and ⁴⁹C₇ = 63!/(9!(63-9)!)  = 23,667,689,815

so

P( keeping all friends ) = [ 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 ] / 23,667,689,815

P( keeping all friends ) = 387,420,489 / 23,667,689,815 = 0.016369

P( you lose one or more friend ) = 1 - P( keeping all friends )

P( you lose one or more friend ) = 1 - 0.016369

P( you lose one or more friend ) = 0.9836

Therefore, the probability you lose one or more friends is 0.9836

6 0
3 years ago
[Function Composition] could someone help me with this answers or show work either is fine
sukhopar [10]

Answer:

f(g(t)) = 2t² + 1

Step-by-step explanation:

You can solve this simply by substituting g(t) into f(t), and solving for f(g(t)):

f(t) = 2t + 5\\\\g(t) = t^2 - 2\\\\f(g(t)) = 2(g(t)) + 5\\\\f(g(t)) = 2(t^2 - 2) + 5\\\\f(g(t)) = 2t^2 - 4 + 5\\\\f(g(t)) = 2t^2 + 1

8 0
3 years ago
PLEASE HELP WITH THIS! <br> if there's is work PLEASE include thank you:) I need # 27 btw
amid [387]
Order.

9, 12, 12, 14, 15, 16, 18, 21

Now split into quarters.

9, 12, 12, 14, 15, 16, 18, 21
          |          |           |
        (1)                   (3)

Determine the values of (1) and (3) by using medians.

14 + 12 + 12 + 9 / 4
47 / 4
approx. 12

So Q1 = 12.

15 + 16 + 18 + 21 / 4
70 / 4
approx. 17

Therefore the answer is C I think. I have not done this ever before. All the knowledge I did was from research lol
8 0
3 years ago
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