1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mila [183]
2 years ago
5

HELP please, Domain & range

Mathematics
1 answer:
grin007 [14]2 years ago
5 0

Answer:

0 < S <= 30

3500 < C <= 7400

Step-by-step explanation:

the domain is the interval of values for x (the input variable), for which the function is defined valid to process them.

the range is the interval of y values, the possible results of the function.

as the question writes, C is a function of S. so, our input variable is called S (instead of the usual x).

C(S) = 130S + 3500

this function will be valid for what values of S ?

given the context, are negative values ok for S ?

no, negative transportation amounts don't make sense here.

is 0 a valid value ?

no, they would be driving an empty transport.

and it is said that they can transport up to 30 tons.

so, our S can only be in the interval 0 < S <= 30

that is the domain of the function describing the amount of sugar transported.

the range is now the functional value interval, the interval for y, the calculated cost for transported sugar.

it starts with the smallest possible value, which we simulate by using x=0 again (which is just outside of our valid domain, but really only "just", as everything bigger than 0, no matter how small, is valid).

C(0) = 130×0 + 3500 = 3500

the range starts there but excludes that particular value, as we excluded 0 in the domain.

and the biggest value for the function is clearly, when they transport the maximum capacity : 30 tons.

C(30) = 130×30 + 3500 = 3900 + 3500 = 7400

so, the range is

3500 < C <= 7400

You might be interested in
Why Did the Piano Player Bang Her
Sedbober [7]

The circumference of a circle that was computed when the diameter is 3cm will be 9.426cm.

<h3>How to find the circumference?</h3>

The circumference of a circle of gotten by the formula:

C = 2πr or πd

where,

r = radius

d = diameter

Since the diameter is given as 3cm, the circumference will be:

= πd

= 3.142 × 3

= 9.426cm

In conclusion, the circumference of the circle is 9.426cm.

Learn more about circle on:

brainly.com/question/25938130

3 0
2 years ago
By what number should-15/56 be divided to get -5/6<br><br>pls pls pls pls I need your help ​
mr_godi [17]

Answer:

The desired divisor is n = 21

Step-by-step explanation:

Let that number be n.  Then:

-15/56        -5

---------- = ---------

     n            6

Through cross-multiplication we get:

(-15/56)*6 = -5n, which reduces to:

(-15)(7) = -5n, or 3(7) = n

The desired divisor is n = 21

6 0
2 years ago
A triangle has 2 sides of lengths 6 and 9. what value could the 3rd length be
Tpy6a [65]
Anything greater than 4 but less than 9
5 0
3 years ago
PLEASE HELP!!
strojnjashka [21]
The document not working
8 0
2 years ago
Any answers I need help
natulia [17]

Answer:

(A) 21

Step-by-step explanation:

5x-15 needs to equal 90 since it is a right angle and 21 makes that true

(5*21)=105\\105-15=90

6 0
2 years ago
Read 2 more answers
Other questions:
  • John is trying to drain a swimming pool. He has two pumps, but he can only use one at a time. He knows that the time a pump take
    9·1 answer
  • I have attached the question IF ANSWERED WITHIN 10 MINUTES I WILL AWARD BRAINLIEST
    12·1 answer
  • A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 54 f
    5·2 answers
  • Normal probability Density Function Use a graphing utility to graph the model probability density function with ð = 1 and µ = 2,
    5·1 answer
  • The radius of a circle is 13 in. Find its area in terms of pi​
    11·2 answers
  • Hey everyone! What is -9.56 - (-1.235) = ?<br> Thanks!
    5·1 answer
  • Determine if they triangles are similar. If so, by what Theorem?
    5·1 answer
  • Help me please!!!!!!!!!!!!
    6·1 answer
  • Fill in the blanks to make each equation true
    10·1 answer
  • A football field is 120 yards long and 160 yards wide. How many square yards of grass is needed to cover the field? Show your ca
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!