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Brut [27]
3 years ago
12

Solve the system using substitution. Show all work. (3 points) y=-2x+6 3y-x+3=0

Mathematics
2 answers:
svp [43]3 years ago
8 0
Y = -2x + 6....so we sub in -2x + 6 for y in the other equation

3y - x + 3 = 0
3(-2x + 6) - x + 3 = 0
-6x + 18 - x + 3 = 0
-7x + 21 = 0
-7x = -21
x = -21/-7
x = 3

now we sub 3 in for x in either of the original equations to find y.
y = -2x + 6
y = -2(3) + 6
y = -6 + 6
y = 0

so ur solution is : (3,0)
suter [353]3 years ago
4 0
The answer is (3,0). You're welcome.

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The expression 100 + 20m100+20m100, plus, 20, m gives the volume of water in Eduardo's pool (in liters) after Eduardo spends mmm
hodyreva [135]

Answer:

205 litres

Step-by-step explanation:

Given:

Volume of water is given as:

V=100+20m (in litres)

<em>m</em> is the time in minutes spent filling water in Eduardo's pool.

To find:

Volume of water in the pool after the water is filled for 5\frac{1}{4} minutes.

Solution:

Here, volume of water in the Pool (in litres) is given by the equation:

V=100+20m ....... (1)

Where m is the time for which Eduardo fills the pool.

Here, we are also given that

m = 5\frac{1}{4} minutes = \frac{5\times4+1 }{4}=\frac{20+1}{4}=\frac{21}{4} minutes

And we have to find the value of V after \frac{21}{4} minutes.

Let us put the value of m as \frac{21}{4} minutes in the equation (1) to find the value of V.

V=100+20m\\\Rightarrow V = 100 + 20 \times \frac{21}{4}\\\Rightarrow V = 100+105\\\Rightarrow \bold{V = 205\ litres}

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7 0
3 years ago
Find the missing side or angle. Round to the nearest tenth. C=53° B= 80° a=2 b=[ ? ]​
Degger [83]

9514 1404 393

Answer:

  b ≈ 2.7

Step-by-step explanation:

The missing angle A is ...

  A = 180° -53° -80° = 47°

The law of sines tells you ...

  b/sin(B) = a/sin(A)

  b = sin(80°)×2/sin(47°) ≈ 2.6931

Side b is about 2.7 units.

5 0
3 years ago
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What is the range of the function?
Goryan [66]

Answer:

1. all real numbers less than or equal to 4 = </= 4.

Answer = YES!

2. all real numbers less than or equal to -3 = </= -3.

Answer = YES!

3. all real numbers greater than or equal to 4 = >/= 4

Answer = YES!

4. all real numbers greater than or equal to -3 = >/= -3

Answer = NO!

Step-by-step explanation:

1. all real numbers less than or equal to 4 = </= 4.

1 + 1 = 2

1 + 2 = 3

2 + 2 = 4

2. all real numbers less than or equal to -3 = </= -3.

1 - 1 = 0

1 - 2 = -1

1 - 3 = -2

1 - 4 = -3

3. all real numbers greater than or equal to 4

1 + 1 = 2

1 + 2 = 3

1 + 3 = 4

1 + 4 = 5

4. all real numbers greater than or equal to -3

1 - 1 = 0

1 - 2 = -1

1 - 3 = -2

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3 0
3 years ago
#20 four times the sum of number. and 15 is a least20. Let X represent the number. :find ball possible values for X
gayaneshka [121]
For this case what we have to take into account is the following variable:
 x = represent the unknown number
 We now write the following inequality:
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 The solution set is:
 [-10, inf)
 Answer:
 
all possible values for X are:
 
[-10, inf)
6 0
3 years ago
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sukhopar [10]

Answer:

Step-by-step explanation:12

4 0
3 years ago
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