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Ber [7]
3 years ago
5

Carlos and Maria drove a total of 197 miles In 3.8 hours. Carlos drove the first part of the trip and averaged 55 miles per hour

. Maria drove the
remainder of the trip and averaged 47 miles per hour. For approximately how many hours did Maria drive? Round your answer to the nearest tenth if
necessary.
Mathematics
1 answer:
Dima020 [189]3 years ago
4 0

Answer:

1.5 hours

Step-by-step explanation:

Carlos = x

Maria = y

55x + 47y = 197

x + y = 3.8

x = 3.8 - y

55(3.8 - y) + 47y = 197

209 - 55y + 47y = 197

-8y = -12

y = 3/2 = 1.5

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The total revenue from the sale of a popular book is approximated by the rational function, R(x)=1100x^2/x^2 + 4 where x is the
vazorg [7]

Answer:

The answer is below

Step-by-step explanation:

The total revenue from the sale of a popular book is approximated by the rational R(x) = 1100x^2/x^2 + 4, where x is the number of years since publication and the total revenue in millions of dollars. Use this function to complete parts a through d. (a) Find the total revenue at the end of the first year. $ million (b) Find the total revenue at the end of the second year. $ million (c) Find the domain of function R. Choose the correct domain below. {x | x is a real number and x greaterthanorequalto 0} {x | x is a real number and x lessthanorequalto 5} {x | x is a real number and x notequalto 2, x notequalto 5} {x | x is a real number and x notequalto 2}

Solution:

Revenue is the total money made from the selling of a product or item.

a) Given the revenue function:

R(x)=\frac{1100x^2}{x^2+4}

At the end of the first year (i.e. x = 1), the venue is given as:

R(1)=\frac{1100(1)^2}{(1)^2+4} =220\\\\R(1)=\$ 220\ million

b) At the end of the second year (i.e. x = 2), the venue is given as:

R(2)=\frac{1100(2)^2}{(2)^2+4} =220\\\\R(2)=\$ 550\ million

c) The domain of the function is the value of the denominator for which the value of the denominator is not zero

x² + 4 ≠ 0

The domain is {x| x is a real number and x ≥ 0}

3 0
2 years ago
Please help :)
olga nikolaevna [1]
The answer is linear pair postulate hope this helps.❤️
3 0
3 years ago
The stream of water from a fountain follows a parabolic path. The stream reaches a maximum height of 7 feet, represented by a ve
xenn [34]

First of all, I'm going to assume that we have a concave down parabola, because the stream of water is subjected to gravity.

If we need the vertex to be at x=4, the equation will contain a (x-4)^2 term.

If we start with y=-(x-4)^2 we have a parabola, concave down, with vertex at x=4 and a maximum of 0.

So, if we add 7, we will translate the function vertically up 7 units, so that the new maximum will be (4, 7)

We have

y = -(x-4)+7

Now we only have to fix the fact that this parabola doesn't land at (8,0), because our parabola is too "narrow". We can work on that by multiplying the squared parenthesis by a certain coefficient: we want

y = a(x-4)^2+7

such that:

  • a
  • when we plug x=8, we have y=0

Plugging these values gets us

0 = a(8-4)^2+7 \iff 16a+7=0 \iff a = -\dfrac{7}{16}

As you can see in the attached figure, the parabola we get satisfies all the requests.

3 0
3 years ago
john is 15 years old. john's mom takes him and his younger soster to a football game. tickets are $22 for adults and $16 for chi
Maksim231197 [3]

Answer:

$38

Step-by-step explanation:

cost of ticket for adult = $22

cost of ticket for youngster = $16

______________________________

cost of ticket for John's mom = $22 as she is adult

cost of ticket for john = $16 as he is young , his age is less than 18 years

Total cost of ticket for John and his mother = $22 + $16 = $38

5 0
3 years ago
PLEASE HELP! 100 POINTS! WILL GIVE BRAINLIESTT!
Dafna11 [192]

Answer:

   = 11.4%

Step-by-step explanation:

Percent error = (target - actual)/target * 100

target = 2500

actual = 2215

Lets substitute in

Percent error = (2500-2215)/2500 * 100

                        = 285/2500*100

                       =.114 * 100

                      = 11.4%

5 0
3 years ago
Read 2 more answers
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