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3 years ago

One of the tables shows a proportional relationship.

Mathematics

2 answers:

IRINA_888 [86]3 years ago

4 0

The 2nd option is the answer :)!

Nikitich [7]3 years ago

4 0

Answer:

Step-by-step explanation:

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Select all the statements that are true for the following systems of equations

Aleks [24]

Answer:

A. System C simplifies to 2x - 3y = 4 and 4x - y = 54 by dividing the second equation by three (3).

B. Systems A and C have the same solutions.

C. Systems A and B have different solutions.

Step-by-step explanation:

Given the following system of equations;

System A

2x - 3y = 4 .....equation 1

4x - y = 18 .......equation 2

We would solve the above equations using the elimination method;

Multiplying eqn 1 by 2;

2*(2x) - 2*(3y) = 4*2

4x - 6y = 8 ...... equation 3

Subtracting eqn 2 from eqn 3;

(4x - 4x) + (-6y - (-y)) = 8 - 18

0 + (-6y + y) = -10

-5y = -10

5y = 10

$y = \frac {10}{5}$

y = 2

To find the value of x;

2x - 3y = 4

2x - 3(2) = 4

2x - 6 = 4

2x = 4 + 6

2x = 10

$x = \frac {10}{2}$

x = 5

Solutions (x, y) = (5, 2)

System B

3x - 4y = 5 ..... equation 1

y = 5x + 3 ..... equation 2

We would solve the equations using substitution method;

Substituting eqn 2 into eqn 1, we have;

3x - 4(5x + 3) = 5

3x - 20x - 12 = 5

-17x - 12 = 5

-17x = 12 + 5

-17x = 17

$x = \frac {-17}{17}$

x = -1

To find the value of y;

y = 5x + 3

y = 5(-1) + 3

y = -5 + 3

y = -2

Solutions (x, y) = (-1, -2)

System C

2x - 3y = 4 ..... equation 1

12x - 3y = 54 ...... equation 2

We would solve the above equations using the elimination method;

Subtracting eqn 2 from eqn 1;

(2x - 12x) + (-3y -(-3y)) = 4 - 54

-10x + (-3y + 3y) = -50

-10x + 0 = -50

-10x = -50

10x = 50

$x = \frac {50}{10}$

x = 5

To find the value of y;

2x - 3y = 4

2(5) - 3y = 4

10 - 3y = 4

3y = 10 - 4

3y = 6

$y = \frac {6}{3}$

y = 2

Solutions (x, y) = (5, 2)

5 0

3 years ago

William put 0.83 liter of water into a bucket. Matt put 0.98 liter of water into another bucket. When they combined their water

Svetradugi [14.3K]

I believe that the answer is A.

6 0

3 years ago

WILL GIVE BRAINLIEST!!!! Name all of the transformations from h(x) = sinx to f(x) = −4 sin (3x – π) + 5 ANSWER ASAP FOR MORE POI

vampirchik [111]

Answer:

Step-by-step explanation:

The -4 makes the waves taller (Amplitude 4), and the negitive flips over x-axis.

In (3x-pi) The three compresses horizontally making the waves tighter. The -pi shifts the funtion pi to the right.

The +5 shifts up five.

3 0

3 years ago

Can someone explain this? :)

Alchen [17]

I'll do part (a) to get you started.

The angle 'a' pairs up with the 123 degree angle as a corresponding angle pair. Due to the parallel lines, the corresponding angles are congruent. Therefore a = 123.

We also see that b = 123 as well since a = b (they are vertical angles).

Notice how angle c is adjacent to the 123 degree angle. These two angles form a straight line, so they must add to 180 degrees.

c+123 = 180

c = 180-123

c = 57

-------------------------

To summarize, we have these three angles

a = 123

b = 123

c = 57

6 0

3 years ago

Read 2 more answers

S is a subset within a universal set, U. If S = {x, y, 4, 9, ?), which could describe U? U = {keys on a keyboard}

Katyanochek1 [597]

Since U is a universal set where S is its subset, then set U should consist of all the letters, numbers and punctuation mark in a keyboard. In other words, universal set U consists of the following elements:
U = (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)
U = (x| x comprised of all the letters in the alphabet fro a to z)
U = (!,.,,,?,!:,;,",',-)

4 0

3 years ago

Read 2 more answers