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4 years ago

Which system of equations has exactly one solution?

Mathematics

2 answers:

Nastasia [14]4 years ago

7 0

Answer:

A.) 2 x minus 4 y = 8. x + y = 7.

Step-by-step explanation:

A.) 2 x minus 4 y = 8. x + y = 7.

2x-4y = 8

x+y=7

This has one solution

B.) 3 x + y = negative 1. 6 x + 2 y = negative 2.

3x+y = -1

Multiply by 2

6x +2y = -2

This is the second equation so it has infinite solutions

C.) 3 x + 3 y = 3. Negative 6 x minus 6 y = 3.

3x+3y =3

Multiply by -2

-6x-6y = -6

The equation is the same but the constant, which means they are parallel lines, they have zero solutions

D.) 3 x minus 2 y = 4. Negative 3 x + 2 y = 4.

3x -2y = 4

Multiply by -1

-3x +2y = -4

The equation is the same but the constant, which means they are parallel lines, they have zero solutions

Ira Lisetskai [31]4 years ago

4 0

Answer:

A.) 2 x minus 4 y = 8. x + y = 7.

Step-by-step explanation:

A.) 2 x minus 4 y = 8. x + y = 7.

2x - 4y = 8

x - 2y = 4

x = 4 + 2y

x + y = 7

4 + 2y + y = 7

3y = 3

y = 1

x = 4 + 2

x = 6

Only solution: (6,1)

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3 years ago

A particular shade of paint is made by mixing 5 parts red paint and 7 parts blue paint. To make this shade, Shannon mixed 12 qua

SSSSS [86.1K]

Answer:

No, Shannon didn’t mix the correct shade

Explanation:

Ratio required for the shade Red : Blue = 5 : 7

The ratio formed of Shannon must be equal to the above standard ratio

But Shannon’s ratio which was mixed for red and blue is

= Red : Blue

= 8 : 12

= 2 : 3, which is not equal to 5 : 7.

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4 years ago

Which situation best describes this function?

stiks02 [169]

Answer:

Step-by-step explanation:

Since it is an exponential function, there is no way that it could be increasing at a steady pace, like adding 248 each time, since that would create a linear function ( a line.) The numbers are increasing each year, not decreasing.

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3 years ago

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is r

svp [43]

Answer:

0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:

$P(c \leq X \leq d) = \frac{d - c}{b - a}$

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min.

This means that $a = 50, b = 52$

If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.7 min.

$P(51.5 \leq X \leq 51.7) = \frac{51.7 - 51.5}{52 - 50} = \frac{0.2}{2} = 0.1$

0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.

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3 years ago

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I hope this helps and i hope wecan be great friends!!!!! and corrrect me if wrong but i think its A!!!!!!!!

~ 12 year old kakashi hatake

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4 years ago

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