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DiKsa [7]
2 years ago
14

Based on the graphs of the equations y = –2x + 3 and y = x2 – x + 1, the solutions are located at points:

Mathematics
1 answer:
Ray Of Light [21]2 years ago
8 0

The solutions of the equations are the point of intersection of the equations

The solutions are located at points (-2,7) and (1,1)

<h3>How to determine the solutions?</h3>

The equations are given as:

y = –2x + 3 and y = x2 – x + 1

Next, we plot the graph of both equations

From the graph of the equations (see attachment), we have the solution to be:

(x,y) = (-2,7) and (1,1)

Hence, the solutions are located at points (-2,7) and (1,1)

Read more about system of equations at:

brainly.com/question/14323743

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Add the two together: 25/6 +10/6 = 35/6.
To make it a mixed number again, find how many times 6 goes into 35, which is 5 times, with a remainder of 5.  Your answer is 5 5/6
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Answer:

34.83

Step-by-step explanation:

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A woman has 21 total coins in her pocket, all of which are either dimes or quarters. If the total value of her change is $3.90,
Elza [17]

Answer with Step-by-step explanation:

Let there be d dimes and q quarters

A woman has 21 total coins in her pocket.

⇒ d+q=21    ------(1)

1 dime=$ 0.1

1 quarter=$ 0.25

The total value of her change is $3.90

⇒ 0.1d+0.25q=3.90

Multiplying both sides by 100,we get

10d+25q=390     --------(2)

(2)-10×(1)

10d+25q-10d-10q=390-210

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Dividing both sides by 15, we get

q=12

Putting value of q in (1),we get

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Hence, Number of dimes=9

and number of quarters=12

Write the number of dimes, then the number of quarters separated by a comma.

9,12

8 0
3 years ago
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Sitting in your sailboat looking at the horizon, you see a lighthouse 500 feet away. Looking up at a , you see the light at the
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How tall is the lighthouse
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3 years ago
two dump trucks have capacities of 10 tons and 12 tons. they make a total of 20 round trips to haul 226 tons of topsoil to be us
lozanna [386]
We will define the following variables to solve the problem:
 x = amount of round trips from 10 tons truck
 y = amount of round trips from 12 tons truck
 We write the system of equations:
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 The solution to the system of equations is:
 x = 7
 y = 13
 Answer:
 
10 tons truck makes 7 round trips
 
12 tons truck makes 13 round trips
4 0
4 years ago
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