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Helen [10]
3 years ago
14

Which statement is true about the equations –3x + 4y = 12 and 1/4x –1/3 y = 1?The system of the equations has exactly one soluti

on at (–8, 3). The system of the equations has exactly one solution at (–4, 3). The system of the equations has no solution; the two lines are parallel. The system of the equations has an infinite number of solutions represented by either equation.
Mathematics
1 answer:
iren [92.7K]3 years ago
4 0

Answer:

The system of the equations has no solution; the two lines are parallel.

Step-by-step explanation:

The equations have the same slope. In standard form, this can be seen as the same coefficients for x and y. We will multiply the second equation by -12 to reveal this.

\frac{1}{4} x-\frac{1}{3}y=1 \\-12(\frac{1}{4} x-\frac{1}{3}y=1)\\\frac{-12}{4} x-\frac{-12}{3}y=-12\\-3x+4y=-12

This means the equations are parallel and will never cross. There is no solution.

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What is <2 if <4 is 35
Rudiy27

Answer:

2 is 17.5

Step-by-step explanation:

bc the half of 4 is 2 since 4 is 35 we have to find the half of 35 and how we do that is by dividing it by 2.

35%2=17.5 so 2 is equal 17.5 so <2 is 17.5

4 0
3 years ago
Through: (-2, -1), slope = 3
DanielleElmas [232]

Answer:

y =3x + 5

Step-by-step explanation:

The slope intercept form of an equation is expressed as;

y = mx+c

m is the slope

c is the intercept

Get the intercept

Substitute m = 3 and (-2,-1) into y = mx+c

-1 = 3(-2)+c

-1 = -6 + c

c = -1+6

c = 5

Get the equation.

Recall that y = mx+c

y =3x + 5

This gives the required equation

3 0
3 years ago
Estimate the square root to the nearest integer and tenth square root of 8
Sever21 [200]

Answer:

√

8

≈

3

Explanation:

Note that:

2

2

=

4

<

8

<

9

=

3

2

Hence the (positive) square root of  

8

is somewhere between  

2

and  

3

. Since  

8

is much closer to  

9

=

3

2

than  

4

=

2

2

, we can deduce that the closest integer to the square root is  

3

.

We can use this proximity of the square root of  

8

to  

3

to derive an efficient method for finding approximations.

Consider a quadratic with zeros  

3

+

√

8

and  

3

−

√

8

:

(

x

−

3

−

√

8

)

(

x

−

3

+

√

8

)

=

(

x

−

3

)

2

−

8

=

x

2

−

6

x

+

1

From this quadratic, we can define a sequence of integers recursively as follows:

⎧

⎪

⎨

⎪

⎩

a

0

=

0

a

1

=

1

a

n

+

2

=

6

a

n

+

1

−

a

n

The first few terms are:

0

,

1

,

6

,

35

,

204

,

1189

,

6930

,

...

The ratio between successive terms will tend very quickly towards  

3

+

√

8

.

So:

√

8

≈

6930

1189

−

3

=

3363

1189

≈

2.828427

8 0
3 years ago
What is the area of the polygon
irakobra [83]
The area or answer is 45
5 0
3 years ago
Assume that college students have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Fin
jolli1 [7]

Answer:

0.018 is  the probability that a randomly selected college student has an IQ greater than 131.5                                

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 15

We are given that the distribution of IQ score is a bell shaped distribution that is a normal distribution.

Formula:

a) P(IQ greater than 131.5)

P(x > 131.5)

Calculation the value from standard normal z table, we have,  

0.018 is  the probability that a randomly selected adult has an IQ greater than 131.5

3 0
3 years ago
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