A vendor has 30 umbrellas to sell. He sells them for $20 each. The function m(u) = 20u models the total amount of money the vendor makes from selling u umbrellas. What are the practical domain and range of the function?

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

Domain={0,30},Range={0,600

Total number of  umbrellas=3

Price for  each umbrella is =$20

m(u)=20u

as we know

u  = umber of umbrellas

m(u) total amount vendor makes by selling u number of umbrellas

So Practically,The extreme cases are

when the vendor sells 0 umbrellas/ no umbrellas

when he sells all the umbrellas

So Domain is {0,total number of umbrellas}={0,30}

Putting this extreme value of domains as u in function m(u),

we get the range of m(u)={0$20,30$20}

⇒ Range={0,$600}

Answer 2
Answer:

Answer:

domain 0,30 range 0,600

Step-by-step explanation:


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Jenny rented a bike from Danielle's Bikes.It cost $13 plus $3 per hour. If Jenny paid
$34, then she rented the bike for how
many hours?

Answers

The answer is 7 cuz 34-13=21/3=7

Answer:

7 hours

Step-by-step explanation:

34 minus 13, the original price to buy the bike. That equals 21, 21 divided by 3, equals 7, because every hour, 3 dollars is spent.

3456.0g to cg in scientific notation

Answers

Answer:

Scientific Notation : 3.456 × 10^3

What is the factoring quadratic expression for 27x^2-12=0

Answers

27x^2-12=0\ /:3\n\n9x^2-4=0\ \ \ \Leftrightarrow\ \ \ (3x)^2-2^2=0\ \ \ \Leftrightarrow\ \ \ (3x-2)(3x+2)=0\n\n3x-2=0\ \ \ \ \ \ \ \ or\ \ \ \ \ \ 3x+2=0\n\n3x=2\ /:3\ \ \ \ \ \ \ or\ \ \ \ \ \ 3x=-2\ /:3\n\nx= (2)/(3) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ or\ \ \ \ \ \ x=- (2)/(3)
27x^2-12=0\n 3(9x^2-4)=0\n 3(3x-2)(3x+2)=0\n x=(2)/(3) \vee x=-(2)/(3)

The square of a number plus the number is 42 . Find the number (s).

Answers

Answer:     s = 6 or s = -7

Step-by-step explanation:

Our task is to find the number. But first, let's write the equation:

The square of a number s plus the number is 42.

The square of s = \sf{s^2}

Plus s = \sf{s^2+s}

this equals 42: \sf{s^2+s=42}

Now, let's solve for s. Subtract 42 from both sides, and set the right-hand side equal to 0.

\sf{s^2+s-42=0}

Now, let's factor it.

Think of two numbers that:

  • multiply to -42
  • add up to 1

These numbers are 6 and -7.

So, the factored expression is :

(s + 6)(s - 7) = 0

Either s + 6 is 0 or s - 7 = 0.

We have two little equations that we can solve for s:

s + 6 = 0                 s - 7 = 0

s = 0 - 6                  s = 0 + 7

s = -6                       s = 7

Final answer:

To find the number(s) that satisfy the equation x^2 + x = 42, you can factorize the quadratic equation (x + 7)(x - 6) = 0 and solve for x. The solutions are x = -7 and x = 6.

Explanation:

To find the number(s) that satisfies the equation, let's represent the number as 'x'. According to the question, the square of the number plus the number is equal to 42. This can be written as x^2 + x = 42. Rearranging the equation, we get x^2 + x - 42 = 0. To solve this quadratic equation, we can factorize it or use the quadratic formula.

Factoring the quadratic equation, we find (x + 7)(x - 6) = 0. Setting each factor equal to zero, we get x + 7 = 0 and x - 6 = 0. Solving these equations, we find x = -7 and x = 6.

Therefore, the number(s) that satisfy the equation are x = -7 and x = 6.

Learn more about Finding solutions to a quadratic equation here:

brainly.com/question/34125066

#SPJ2

Evaluate the expression for the given value of the variable(s). -x 2 - 4x; x = -3

A. 11
B. 3
C. -17
D. -1

Answers

-x^2 - 4x when x = -3
-(-3)^2 -4(-3)
= - 9 + 12 
= 3

answer is 
B. 3 

-5x-4=? a.1 b.-1 c.20 d.-20

Answers

-5x -4 = 0              Add both sides by 4
    -5x = 4              Divide both sides by -5
       x = -4/5

... That is the answer I got for x...