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2 years ago

Refer to the equation 2x − 6y = 12 Create a table of values for at least 4 points. Show your work

Mathematics

2 answers:

natka813 [3]2 years ago

6 0

Answer: The table and figure are given below,

Solution:

The given equation is $2x-6y=12$ .

put x=0 in the equation.

$2(0)-6y=12$

$-6y=12$

$y=-2$

Similarly find the values of y at different values of x. The values are shown in the table.

From table it is notices that the value of y=-2 for x=0, y=-1 for x=3, y==-3 for x=-3, y=0 for x=6.

Plot these points in the coordinate plane and joint them by a straight line.

The gra his shown in below figure.

stiks02 [169]2 years ago

4 0

First, put it in y=mx+b format
2x-6y=12
-2x -2x
________
-6y=-2x+12
/-6 /-6
_________
y=2/6x-2

There's only two points on the graph cuz i couldn't put more but hopefully that helps.

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Using property find <br>a.3/5×-2/7+4/5-3/10×2/7

Sedaia [141]

Here the answer is 19/35

Step-by-step explanation:

$\frac{3}{5} X\frac{-2}{7} +\frac{4}{5}-\frac{3}{10} X\frac{2}{7}$

We will apply BODMAS rule

In this rule multiplication comes before add and subtraction

= $\frac{-6}{35} + \frac{4}{5} - \frac{3}{35}$

= $\frac{4}{5} - ( \frac{6}{35}+ \frac{3}{35})$

= $\frac{4}{5} - \frac{9}{35}$

= $\frac{4 X 7}{5 X 7} -\frac{9}{35}$

= $\frac{28}{35} - \frac{9}{35}$

= $\frac{19}{35}$

5 0

2 years ago

4xy+4x-6y-6 factored completely

Aneli [31]

Answer:

(4x - 6)(y + 1)

Step-by-step explanation:

Group them: (4xy + 4x) (-6y - 6)

Take out the greatest common factor for both:

4x(y + 1) -6(y + 1)

Put it together: (4x - 6) (y + 1) (y + 1)

Since there are two (y + 1)'s, you can get rid of one, giving you:

(4x - 6) (y + 1)

3 0

3 years ago

The residence of a city voted on whether to raise property taxes the ratio of yes votes to know votes was 5 to 6 if there was 58

Akimi4 [234]

5/6:x/5844

Cross multiply to get
29220=6x
x=4870

4870+5844=

10714 votes

Hope this helped :)

7 0

1 year ago

Graph quadrilateral ABCD and find the most precise name (square, rectangle,

Pavlova-9 [17]

Answer:

Kite

Step-by-step explanation:

To graph quadrilateral with points:

A(-1,-2)

B(5,1)

C(-3,1)

D(-1,4)

Thus, we graph the the given points and join the corners. The quadrilateral formed has the following features:

Measure of segment AB= Measure of segment BD = 6.708 units

Measure of segment AC= Measure of segment CD = 3.605 units

Thus, adjacent pair of sides of the quadrilateral are congruent.

Major diagonal BC cuts the minor diagonal AD at point E such that:

Measure of segment AE= Measure of segment ED = 3 units

m∠AEB = m∠DEB = 90°

Thus, major diagonal is a perpendicular bisector of the minor diagonal.

The above stated features fulfills the criterion of a kite.

Hence, the given quadrilateral ABCD is a kite.

8 0

2 years ago

Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.

Makovka662 [10]

Given:

The geometric sequence is:

$n$ $a_n$

1 -4

2 20

3 -100

To find:

The explicit formula and list any restrictions to the domain.

Solution:

The explicit formula of a geometric sequence is:

$a_n=ar^{n-1}$ ...(i)

Where, a is the first term, r is the common ratio and $n\geq 1$ .

In the given sequence the first term is -4 and the second term is 20, so the common ratio is:

$r=\dfrac{a_2}{a_1}$

$r=\dfrac{20}{-4}$

$r=-5$

Putting $a=-4,r=-5$ in (i), we get

$a_n=-4(-5)^{n-1}$ where $n\geq 1$

Therefore, the correct option is B.

5 0

2 years ago