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iVinArrow [24]
3 years ago
10

Solve the system of equations.

Mathematics
2 answers:
natali 33 [55]3 years ago
7 0
Its the first one (4,1)
Alex777 [14]3 years ago
4 0
When solving these types of questions, we need to find the value of x and y. The only way to do this is to solve. 

Take the value of the first equation: x = 1 + 3y and plug it into the second equation. 

2(1+3y) - 5y = 3
2 + 6y - 5y = 3
2 + y = 3
y = 1

We know what y equals but we still need to know what x would equal to. 
x - 3y = 1
x - 3(1) = 1
x - 3 = 1
x = 4

(x,y) or (4,1)

So, now we obviously have our answer, and I really hope my explanation helped. 

Answer would be (4,1) 
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SpyIntel [72]

we can use formula

f_L=f_s(\frac{v_a-v_p}{v_a+v_p} )

where

fL is listener frequency

fs is siren frequency

va is the speed of sound in air

vs is police car speed

so, we have

f_s=2000Hz

v_a=345m/s

v_p=65mph

now, we can change it into m/s

v_p=65*\frac{1609}{3600}m/s

v_p=29.05139m/s

now, we can plug it

f_L=2000(\frac{345-29.05139}{345+29.05139} )

f_L=1689.33263Hz..............Answer

3 0
3 years ago
Which of the following is the correct
vekshin1

Answer:

which of what? no answer choices.

3 0
3 years ago
Which equation represents a proportional relationship?
asambeis [7]

Given:

Four equations in the options.

To find:

The equation which represents a proportional relationship.

Solution:

If y is proportional to x, then

y\propto x

y=kx

where, k is the constant of proportionality.

In this case if x=0, then y=0. It means the graph of a proportional relationship passes through the origin.

From the given options, only option B, i.e., y=\dfrac{1}{4}x, is of the y=kx, where, k=\dfrac{1}{4}.

So, the equation y=\dfrac{1}{4}x represents a proportional relationship.

Therefore, the correct option is B.

6 0
2 years ago
14) Simplify. 6(3x - 5) + 2(3x - 5) - 8(3x - 5)
PSYCHO15rus [73]

Answer:

6(3x - 5) + 2(3x - 5) - 8(3x - 5) = 0

Step-by-step explanation:

7 0
3 years ago
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Please help with these two problems. Show work
MissTica

Answer:

For the first one, it is 1150. For the second one, it is 2460.

Step-by-step explanation:

Think of 23 x 50 as (20 x 50) + (3 x 50).

20 x 50 is 1000. 3 x 50 is 150. 1000 + 150 is 1150.

Think of 30 x 82 as (30 x 80) + (30 x 2)

30 x 80 is 2400. 30 x 2 is 60. 2400+60 is 2460.

3 0
3 years ago
Read 2 more answers
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