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3 years ago

Solve the system of equations by substitution. Show all work neatly on your work page. Checking your answer is wise. :) Plz need

Mathematics

1 answer:

Flauer [41]3 years ago

7 0

Answer:

x=5

Step-by-step explanation:

3x+2(-3x+11)=7

Use distributive property:

3x-6x+22=7

Combine like terms:

-3x+22=7

-3x=-15

Then divide:

-3x/3=-15/3 = 5

x=5

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May someone please help me on which to graph?

olga_2 [115]

Answer:

Option (4)

Step-by-step explanation:

Proportional relationship means,

y ∝ x

y = kx

$k=\frac{y}{x}$

Here, k = proportionality constant

Therefore, if the graph of a line passes through the origin (0, 0) table will represent the proportional relationship.

From table 1,

For a point (1, 2)

$k=\frac{2}{1}=2$

For another point (3, 2)

$k=\frac{3}{2}=1.5$

In both the cases 'k' is not same of constant.

Therefore, table (1) is not proportional.

For table (2),

Line passes through (2, 0).

That means there is a x-intercept → (2, 0)

Therefore, table doesn't represent a proportional relationship.

For table (3),

Line passes through a point (0, 1)

It means given line has a y-intercept → y = 1

Therefore, table doesn't represent a proportional relationship.

For table (4),

Line of this table passes through two points (1, 3) and (2, 6)

$k=\frac{3}{1}=3$

$k=\frac{6}{2}=3$

Therefore, proportionality constant for the given table is 3.

Now we can graph table (4).

6 0

3 years ago

Write the equation in slope-intercept form through the point (-4, -7) and is perpendicular to the line y = -(7/4)x + 4 and graph

Scilla [17]

You have to write the equation for a line that crosses the point (-4, -7) and is perpendicular to the line

$y=-\frac{7}{4}x+4$

When you have to determine a line that is perpendicular to a known line, you have to keep in mind that the slope of the perpendicular line will be the negative inverse of the first one.

If for exampla you have two lines, the first one being:

$y_1=mx+b$

And the second one, that is perpedicular to the one above:

$y_2=nx+c$

The slope of the second one is the negative inverse of the first one:

$n=-\frac{1}{m}$

The slope of the given line y=-7/4+4 is m=-7/4

So the slope of the perpendicular line has to ve the inverse negative of -7/4

$\begin{gathered} n=-(-\frac{4}{7}) \\ n=\frac{4}{7} \end{gathered}$

Considering it has to pass through the point (-4,-7) and that we already determined its slope, you can unse the point slope formula to determine the equation of the perpendicular line:

$y-y_1=m(x-x_1)$

replace with the coordinates of the point and the slope and calculate:

$\begin{gathered} y-(-7)=\frac{4}{7}(x-(-4)) \\ y+7=\frac{4}{7}(x+4) \\ y+7=\frac{4}{7}x+\frac{16}{7} \end{gathered}$

Subtract 7 to both sides of the equation to write it in slope-intercept form:

$\begin{gathered} y+7-7=\frac{4}{7}x+\frac{16}{7}-7 \\ y=\frac{4}{7}x-\frac{33}{7} \end{gathered}$

Now you can graph both lines

8 0

1 year ago

In a certain year the population of a country reached 321 million. The overall birth rate was births per 1000, and the overall

kkurt [141]

Answer:

Then it would stay at 321 million

Step-by-step explanation:

if the birth and death rate is both 1000 then nothing will change. Population wise.

4 0

3 years ago

A store sells 3 cans of beans for $9. What is the price of 7 cans of beans?

Leokris [45]

Answer:

Step-by-step explanation:

because you divide 9 byy 3 and you get 3 so then you do 7 x 3 7x3 is 21

8 0

3 years ago

What is the area of a triangle whose base is 14 m and whose height is 22 m?

Ivanshal [37]

Base times height divided by 2 is the area. So 14 times 22 is 308 and divided by 2 is 154 so that is your answer. I hope this helps. Could I possibly get brainliest?

4 0

3 years ago