Two lines meet at a point that is also the endpoint set up an equation to find the value of w pls need help

polet [3.4K]

8x - 4y = -12
4y = 8x + 12
y = 8/4 x + 12/4
y = 2x + 3

When x = -3,
y = 2(-3) + 3 = -6 + 3 = -3
When x = -1,
y = 2(-1) + 3 = -2 + 3 = 1
When x = 1,
y = 2(1) + 3 = 2 + 3 = 5

3 0

3 years ago

In 2014, the population of China was 1.39 billion. Compare China’s 2014 population to the world population with a ratio. Write y

pychu [463]

Answer:

Faction of population = 1.39 / 7.2

Percentage of population = 19.3% (Approx.)

Step-by-step explanation:

Given:

China's population in 2014 = 1.39 billion (Approximately)

Find:

Compare China's population to world population

Computation:

World's population in 2014 = 7.2 billion (Approximately)

Faction of population = China's population in 2014 / World's population in 2014

Faction of population = 1.39 / 7.2

Percentage of population = [China's population in 2014 / World's population in 2014]100

Percentage of population = [1.39/7.2]100

Percentage of population = [0.193]100

Percentage of population = 19.3% (Approx.)

6 0

3 years ago

is 20% in a decimal 0.20 in fraction 20/50 54% is a 40 0.4 fraction 4/10 decimal percent 9% decimal 0.9 fraction 9/10 66% 0.66 6

Gre4nikov [31]

20% is .20/ 20/50 is 40% or .4 or 4/10/ 9% is .09 or 9/100 / 9/10 is 90% or .9/ 66% is .66 or 33/50 or 66/100/ 6/10 is 60% or 60/100 or .6/ 2% is .02 or 1/50 or 2/100. I didn't exactly understand the question, but I hope this answers your question.

7 0

3 years ago

A rectangle is 32m by 8m is similar to a rectangle 4m by x m.

Flauer [41]

Answer:

x = 1

Step-by-step explanation:

x/4 = 8/32

x = 1

Best Regards!

5 0

3 years ago

Read 2 more answers

Please help, fast‍♀️‍♀️

kramer

Inequalities are used to express unequal expressions.

The inequalities from the word problems are:

$\mathbf{m - 3.5 \le -2}$ .
$\mathbf{0 \ge 2x + 1}$ .
$\mathbf{-\frac 12 \ge 2k - 4}$

The statements from the inequalities are:

-4 is not a solution to $\mathbf{x + 8 < -3}$
-6 is not a solution to $\mathbf{10 \le 3 - m}$
-1 is not a solution to $\mathbf{-3x \le -12.5}$

Graph b represents $\mathbf{x > -7}$

<h3>The word problems</h3>

<u>1. A number minus 3.5 is less than or equal to -2</u>

The statement can be broken down into the following expressions

$\mathbf{A\ number\ minus\ 3.5 \to m - 3.5}$

$\mathbf{less\ than\ or\ equal\ to\ -2 \to \le -2}$

So, when the expressions are brought together, we have:

$\mathbf{m - 3.5 \le -2}$

<u>2. Zero is greater than or equal to twice a number x plus 1</u>

The statement can be broken down into the following expressions

$\mathbf{Zero\ is\ greater\ than\ or\ equal\ to \to 0 \ge }$

$\mathbf{twice\ a\ number\ x\ plus\ 1\ \to 2x + 1}$

So, when the expressions are brought together, we have:

$\mathbf{0 \ge 2x + 1}$

<u />

<u>3. -1/2 is at least twice a number k minus 4</u>

The statement can be broken down into the following expressions

$\mathbf{-\frac 12\ is\ at\ least \to -\frac 12 \ge }$

$\mathbf{twice\ a\ number\ k\ minus\ 4\ \to 2k - 4}$

So, when the expressions are brought together, we have:

$\mathbf{-\frac12 \ge 2k - 4}$

None of the options is correct

<h3>The solutions</h3>

<u>4. Tell whether -4 is a solution to x + 8 < -3</u>

We have:

$\mathbf{x + 8$

Subtract 8 from both sides

$\mathbf{x + 8 - 8$

$\mathbf{x$

The above inequality means that:

-4 is not a solution, because -4 is greater than -11

<u>5. Tell whether -6 is a solution to 10 <= 3 - m</u>

We have:

$\mathbf{10 \le 3 - m}$

Subtract 3 from both sides

$\mathbf{10 -3\le 3 - 3 - m}$

$\mathbf{7 \le - m}$

Multiply both sides by -1 (the inequality sign changes)

$\mathbf{-7 \ge m}$

Make m the subject

$\mathbf{m \le -7}$

The above inequality means that:

-6 is not a solution, because -6 is greater than -7

<u>6. Tell whether -1 is a solution to -3x <= -12.5</u>

We have:

$\mathbf{-3x \le -12.5}$

Divide both sides by -3 (the inequality sign changes)

$\mathbf{x \ge 4\frac16}$

The above inequality means that:

<em>x is greater than or equal to </em> $\mathbf{4\frac16}$ <em />

-1 is not a solution, because -1 is less than $\mathbf{4\frac16}$ <em />

<h3>The graph</h3>

The inequality is given as: $\mathbf{x > -7}$

The less than sign (>) means that:

The graph would use an open circle
The arrow must point to the right

Only graph b satisfies this condition

Hence, the graph of $\mathbf{x > -7}$ is graph b