All categories

2 years ago

Choose the correct words from the drop-down menu to make a true statement about the system of equations.

Mathematics

1 answer:

Artist 52 [7]2 years ago

4 0

Answer:

Step-by-step explanation:

Given the 2 equations

y = $\frac{1}{3}$ x + 2 → (1)

- x + 3y = 6 → (2)

Substitute y = $\frac{1}{3}$ x + 2 into (2)

- x + 3( $\frac{1}{3}$ x + 2) = 6 ← distribute left side

- x + x + 6 = 6, that is

6 = 6 ← True

This statement indicates the system has infinitely many solutions

You might be interested in

What is the rate of change

kow [346]

The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

3 0

2 years ago

Read 2 more answers

Complete the table of ordered pairs for the linear y=2x-8

ExtremeBDS [4]

Given:

Consider the below figure attached with this question.

The linear equation is:

$y=2x-8$

To find:

The values to complete the table of ordered pairs for the given linear equation.

Solution:

We have,

$y=2x-8$

Substituting $x=0$ in the given equation, we get

$y=2(0)-8$

$y=0-8$

$y=-8$

So, the value for first blank is -8.

Substituting $y=-2$ in the given equation, we get

$-2=2x-8$

$-2+8=2x$

$\dfrac{6}{2}=x$

$3=x$

So, the value for second blank is 3.

Substituting $x=2$ in the given equation, we get

$y=2(2)-8$

$y=4-8$

$y=-4$

So, the value for third blank is -4.

Therefore, the required complete table is:

x y

0 -8

3 -2

2 -4

8 0

2 years ago

How many minutes are there in a day?

RoseWind [281]

1440

because yea

hehehehehehehehehee

5 0

2 years ago

Read 2 more answers

Write this ratio as a fraction in the simplest form 3 feet to 63 inches

Lana71 [14]

Answer: The answer is 1/21

Step-by-step explanation:

7 0

3 years ago

BRAINLIESTT ASAP! PLEASE HELP ME :)

antiseptic1488 [7]

Step-by-step explanation:

$\displaystyle y = Acos(Bx - C) + D$

According to this trigonometric function, −C gives you the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL:

$\displaystyle Phase\:[Horisontal]\:Shift → \frac{-\frac{2}{3}π}{2} = -\frac{π}{3} \\ Period → \frac{2}{2}π = π$

Therefore we have our answer.

Extended Information on the trigonometric function

$\displaystyle Vertical\:Shift → D \\ Phase\:[Horisontal]\:Shift → \frac{C}{B} \\ Period → \frac{2}{B}π \\ Amplitude → |A|$

NOTE: Sometimes, your vertical shift might tell you to shift your graph below or above the <em>midline</em><em> </em>where the amplitude is.

I am joyous to assist you anytime.

3 0

3 years ago

Read 2 more answers