Same value as 15% percent of 20

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an

ExtremeBDS [4]

Answer:

$y\geq x-2$

$x+2y$

Step-by-step explanation:

step 1

<em>Find the equation of the first inequality</em>

Find the equation of the first solid line

we have the ordered pairs

(0,-2) and (2,0)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0+2}{2-0}$

$m=\frac{2}{2}$

$m=1$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=1$

$b=-2$ ---> the y-intercept is given

substitute

$y=x-2$

Remember that

Everything to the left of the solid line is shaded

so

The inequality is

$y\geq x-2$

step 2

<em>Find the equation of the second inequality</em>

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0-2}{4-0}$

$m=\frac{-2}{4}$

$m=-\frac{1}{2}$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=-\frac{1}{2}$

$b=2$ ---> the y-intercept is given

substitute

$y=-\frac{1}{2}x+2$

Remember that

Everything below and to the left of the line is shaded

so

The inequality is

$y$

Rewrite

Multiply by 2 both sides

$2y$

$x+2y$

therefore

The system of inequalities is

$y\geq x-2$

$x+2y$

see the attached figure to better understand the problem

5 0

3 years ago

Read 2 more answers

Given that 5x:9=7:3 calculate the value of x. give your answer in its simplest form.

Hitman42 [59]

$\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} →}$

Step-by-step explanation:

<h3>Given →</h3>

5x:9 = 7:3

→ 5x/9 = 7/3

→ x = (7 × 9)/(3 × 5)

→ x = 21/5

<h3>Hope it helps you!!</h3>

8 0

2 years ago

A line passes through (6, 3), (8, 4), and (n, -2). Find the value of n.

timurjin [86]

Answer:

n = -4

Step-by-step explanation:

Notice how in the previous examples they all divide by 2? It is the same case here. So now the question is... "what" divided by "2" is "-2".

Let me show you:

n ÷ 2 = -2

if you know your integer math, you should know that...

-4 ÷2 = -2 (this is the correct equation)

8 0

1 year ago

Convert standard form 4x-2y=6

zysi [14]

Answer:

4x(-2)x(-2)=6

8 0

3 years ago

Easy Question! 5pts + branliest for the correct answer!

Advocard [28]

Answer:

29

Step-by-step explanation:

For the two digit numbers it has to end in a zero or five and be greater than 9 and below 100.

There are 18 multiples of 5 that are 2 digit

For multiples of 7... it's easier to write it out because the total number will will less than 20.

There are 13 multiples of 7 that are 2 digits

Now you have to subtract the multiples of 7 that end in a 0 or 5

That give you 11 multiples

Add 11 and 18 to get 29

5 0

3 years ago

Read 2 more answers