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Sergeeva-Olga [200]
2 years ago
12

What are the solutions to the system of equations? {−x+y=4y+12=x2+x

Mathematics
1 answer:
Ulleksa [173]2 years ago
8 0

Answer: (-4, 0) and (4, 8)

Step-by-step explanation:

Looking at the graph, we can see where the line passes the parabola and can tell the solutions are (-4, 0) and (4, 8)

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A piece of paper is chosen from a bag that contains 10 pieces of paper numbered 1 through 10. Find the probability that the pape
motikmotik

Answer:

1/5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Ibrahim cuts the grass for several of his
REY [17]

Answer:

5 gallons per week

Step-by-step explanation:

He uses 1.25 gallons per 5 hrs

How many times does he use a full tank in a week?

20/5 =<u> 4 times</u>

To find the total amount of fuel used take 1.25 times 4

1.25 * 4 = 5 gallons

3 0
3 years ago
(5x-4)(x+1) multiply then simplify
viva [34]

Answer:

5x^2+x-4

Step-by-step explanation:

Multiply 5x into (x+1)

to get 5x^2+5x

Multiply -4 into (x+1)

to get -4x-4

Combine like terms

5x^2+5x-4x-4

Answer:

5x^2+x-4

3 0
2 years ago
If exactly 180 people sign up for a charter flight, Leisure World Travel Agency charges $298/person. However, if more than 180 p
lesantik [10]

Answer:

The max. revenue is $57,121.

This happens with 239 passengers.

The price of the ticket is $239 per person.

Step-by-step explanation:

Let the variable "P" denote the number of passengers.

If P=180, then the ticket cost is $298/person. Then the price is reduced by $1 for each additional person.

In general, if P=(180+x), then the ticket cost becomes (298-x) per person.

The revenue can be defined as the ticket cost multplied by the number of passengers:

R=P*T=(180+x)(298-x)=53,640-180x+298x-x^2\\\\R(x)=-x^2+118x+53,640

We can derive R and equal to zero to maximize the function.

dR/dx=-2x+118=0\\\\x=118/2=59

The amount of passengers is:

P=180+x=180+59=239

The price of the tickets is

T=298-59=239

The revenue is:

R(59)=(180+59)(298-59)=239*239\\\\R(59)=57,121

3 0
3 years ago
Miss Goh bought 6 blouses, 2 skirts and 2 dresses for $560. A blouse and a skirt cost $107. A blouse and a dress cost $134. What
Yuri [45]

Answer:

$95 FOR A DRESS

Step-by-step explanation:

Let's rearrange the given:

  She bought a blouse and skirt for two, a blouse and a dress for two, and a blouse for two.

     A blouse and a skirt cost $107

     A blouse and a dress cost $134

     blouse cost x dollars

The equation:

     2($107) + 2($134) + 2x = $560

SOLUTION:

   $214 + $268 + 2x = $560

   2x = $560 - $214 - $268

   2x = $78

   x = $39 for a single blouse

FIND THE COST OF DRESS:

   A blouse and a dress cost $134 - $39 for a single blouse

      $134 - $39 = $95

$95 IS THE COST OF DRESS

   

5 0
2 years ago
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