The boundary line of a linear inequality passes through the points (3,0) and (0,6). The points (3,0) and (2,6) are not solutions of the inequality. Write the linear inequality

Answer:

[tex]y=\frac{2}{3} x-1[/tex]

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line intercepts the y-axis)

1) Find the slope of the line (m)

The equation for slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (3,1) and (6,3)

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]=\frac{3-1}{6-3}\\=\frac{2}{3}[/tex]

Now, plugging this back into [tex]y=mx+b[/tex], our equation looks like this:

[tex]y=\frac{2}{3} x+b[/tex]

2) Find the y-intercept of the line

To find the y-intercept, we take the equation that we have so far and plug in any given point to solve for b. For example, we can use the point (3,1):

[tex]1=\frac{2}{3}*3+b\\1=2+b[/tex]

Subtract both sides by 2 to isolate b

[tex]1-2=2+b-2\\-1=b[/tex]

3) Plug m and b into y=mx+b

[tex]y=\frac{2}{3} x-1[/tex]

I hope this helps!

Answer: x= 18

Step-by-step explanation: these are corresponding angles which means they are equal.

(4x-7) = (7x-61)

-7 = 3x -61

54 = 3x

18 = x

Answer: this is easy put attention to your teacher

Step-by-step explanation:

Answer:

387.4 is the answer

Step-by-step explanation:

hope this helps=)

Answer:

387.4 rounded to the nearest tenth is 387 because if it's 4 and below you'll get the ones place the same. And if it's 5 and over, the ones place will go up...

Answer:

$445

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.5%/100 = 0.045 per year,

then, solving our equation

I = 400 × 0.045 × 2.5 = 45

I = $ 45.00

The simple interest accumulated

on a principal of $ 400.00

at a rate of 4.5% per year

for 2.5 years is $ 45.00.

Answer:

15 hours

Step-by-step explanation:

40/8 = 75/x

40x = 600

x = 15

Answer:

About 15

Step-by-step explanation:

40 items/8 hours = 5 items per hour( his rate)

75 items/ 5 items per hour= 15 hours

At his rate it will take him about 15 hours to make 75 items

Answer:

80

Step-by-step explanation:

5x2x8=80

Answer:

volume= 8*2*5

=80cube

Answer:

x>-6

graphing (-6,0)

Step-by-step explanation:

3-5x<-4x+9-- Add 5x to -4x

3<x+9--- subtract 9 from both sides

-6<x

We can write the given statement as expression -

- 5 + (1/2)x = 3

Given is the statement -

"-5 increased by one-half of a number is a maximum of 3"

We can write it as an expression -

- 5 + (1/2)x = 3

Therefore, we can write the given statement as expression -

- 5 + (1/2)x = 3

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brainly.com/question/1041084

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Answer:

17 and 13

Step-by-step explanation:

So you can set up an equation:

let x be the greater number

this means that the smaller number would be 4 less than x, because their difference is 4, so x - 4.

The sum is 30, so x + (x - 4) = 30

Then, solve:

x + (x - 4) = 30

x + x - 4 = 30

combine like terms

2x - 4 = 30

add 4 to both sides

2x = 34

divide both sides by 2

x= 17

Now you know the greater number is 17. Since they have a difference of 4, you can do 17 - 4 = 13 to get the smaller number.

The numbers are 17 and 13

Answer:

at week 5 the higth is 6.5

Step-by-step explanation:

Answer:

56 square feet

Step-by-step explanation:

If you take the problem and divide into two rectangles by drawing the line up from the bottom 4.

You end up with one rectangle that is

8x4

and a second thats

4x6.

The area is then calculated by taking the length and multiplying by the width of the first (8 x 4) and adding to the same process of the second (4x6)

Thus

32 + 24 = 56 square feet

Answer:

32 + 24 = 56 square feet

Answer:

30%

Step-by-step explanation:

182-140=42(increase)

increase ÷ original × 100 %

= 42÷140×100%

=30%

The percentage increase from the old number to new number is 30 percent.

Given that, Max completed 140 questions on DFM last week. This week, Max completed 182 questions.

We know that, percentage increase = (New Number - Original Number)/Original Number ×100

= (182-140)/140 ×100

= 42/140 ×100

= 4200/140

= 30%

Therefore, the percentage increase is 30 percent.

To learn more about the percentage visit:

brainly.com/question/24159063.

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Answer:

$2,400

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 10000 × 0.06 × 4 = 2400

I = $ 2,400.00

The simple interest accumulated

on a principal of $ 10,000.00

at a rate of 6% per year

for 4 years is $ 2,400.00.

Answer:

(2, -12)

Step-by-step explanation:

Answer:

(2, -12)

Step-by-step explanation:

(x, y ) = (0, -8)

2 units right = +2 units to the x-coordinate

4 units down = -4 from the y-coordinate

(0+2, -8-4)

= (2, -12)

Answer:

x by 1 times 15 to the third power

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

3x+15=36

    -15  -15

      3x=21

        x=7

Answer:

-1 , 1 , -2 , - 4

in order its

1, -1 , -2 , -4

Step-by-step explanation:

Given:

The figure of a right angle triangle.

To find:

The value of x using geometric mean.

Solution:

According to the geometric mean altitude theorem, if an altitude h divides the hypotenuse in two parts a and b, then

[tex]\dfrac{a}{h}=\dfrac{h}{b}[/tex]

Let attitude from A touches the hypotenuse at point D.

Using this in the given triangle, we get

[tex]\dfrac{BD}{AD}=\dfrac{AD}{CD}[/tex]

[tex]\dfrac{12}{x}=\dfrac{x}{3}[/tex]

[tex]12\times 3=x^2[/tex]

[tex]36=x^2[/tex]

Taking square root on both sides, we get

[tex]\pm \sqrt{36}=x[/tex]

[tex]\pm 6=x[/tex]

Side cannot be negative. Therefore, the only value of x is 6.

Answer:

y = -7/2x - 7

Step-by-step explanation:

let me know if you need the steps . . .

Answer:

Answer vary :

C. 10

Step-by-step explanation:

at least in my opinion I think so.

Answer:

C i think

you can you use 10 nickels

three thousand four hundred thirty-four and three hundred thirty-two thousandths

Answer:

$614.2

Step-by-step explanation:

Um I just calculated it. I'm in Algebra 2 so it's light work

Answer:Average speed =50 miles per hour or 50mph

Step-by-step explanation:

We know that  Speed is given as= Distance/ Time

Nimer's  distance to his destination = 65 miles

Time taken to his destination = 13:30 to  14:48

which is = 14:48--13:30 = 1:18 mins

Converting  1hr 18mins  to hours = 1 hour + 18/ 60 = 1 + 0.3 = 1.3 hours

Average speed =Distance/ Time

Average speed = 65miles/ 1.3hr = 50 miles per hour

Answer:

[tex]\boxed{\textsf {\textbf{The amount returned by the shopkeeper is \$ 50 - x .}}}[/tex]

Step-by-step explanation:

Given that I buy a video game and pay $ 50 to the shopkeeper . And we need to find the expression how much change should I receive .

So , let us take that the video game costs x . There can be two cases .

★ Case 1 :-

When the cost of the product is same as the amount given . When the cost of the video game is $50 then the shopkeeper will give us no change .

[tex]\boxed{\red{\sf Returned\ change = \$ 0 }}[/tex]

[tex]\rule{200}2[/tex]

★ Case 2 :-

When the cost of the video game is less than $50 then the shopkeeper will return us some change that is equal to the difference if the amount given to shopkeeper and the cost of the video game .

If the cost of the video game is x , then the amount given to us by the the shopkeeper will be ,

[tex]\boxed{\red{\sf Returned\ change = \$ 50 - x }}[/tex]

Answer:

19

Step-by-step explanation:

Answer:

$114.80

Step-by-step explanation:

108 increase 6.3% =

108 × (1 + 6.3%) = 108 × (1 + 0.063) = 114.804