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yan [13]
3 years ago
13

Help! math problem step by step please

Mathematics
1 answer:
natta225 [31]3 years ago
7 0

Answer:

2x -y ≥ 4

Step-by-step explanation:

The intercepts of the boundary line are given, so it is convenient to start with the equation of that line in intercept form:

... x/(x-intercept) + y/(y-intercept) = 1

... x/2 + y/(-4) = 1

Multiplying by 4 gives the equation of the line.

... 2x -y = 4

This line divides the plane into two half-planes. The half-plane that is shaded is the one for larger values of x and/or smaller values of y than the ones on the line. So, for some given y, if we increase x we will get a number from our equation above that is greater than 4. Hence, the inequality we want is ...

... 2x -y ≥ 4

We use the ≥ symbol because the line is solid, so part of the solution space.

You might be interested in
Given the following table, find the equation that matches it.​
bagirrra123 [75]

Answer:

The equation that matches the table is y = -5x + 7 ⇒ C

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept (value y at x = 0)

The rule of the slope is m =  \frac{y2-y1}{x2-x1} , where

  • (x1, y1) and (x2, y2) are two points on the line

From the given table

→ Choose any two points from the table

∵ Points (0, 7) and (1, 2) are in the table

∴ x1 = 0 and y1 = 7

∴ x2 = 1 and y2 = 2

→ Substitute them in the rule of the slope above

∵ m = \frac{2-7}{1-0}=\frac{-5}{1}

∴ m = -5

→ Substitute it in the form of the equation above

∵ y = -5x + b

∵ b is the value of y at x = 0

∵ At x = 0, y = 7

∴ b = 7

∴ y = -5x + 7

∴ The equation that matches the table is y = -5x + 7

7 0
3 years ago
7 1/2 / (4 1/2- 5 1/8)
anastassius [24]

Answer:

-12

Step-by-step explanation:

i used a calculator

6 0
3 years ago
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
chubhunter [2.5K]

The correct statements are options C and option D.

  • - 6x + 15 < 10 - 5x ⇒ 3rd answer
  • An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
<h3 /><h3>What is inequality?</h3>

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.

The inequality is -3(2x - 5) < 5(2 - x)

At first, simplify each side

-3(2x - 5) = -3(2x) + -3(-5)

Remember (-)(-) = (+)

-3(2x - 5) = - 6x + 15

5(2 - x) = 5(2) + 5(-x)

Remember (+)(-) = (-)

5(2 - x) = 10 - 5x

- 6x + 15 < 10 - 5x

Subtract 15 from both sides

- 6x < -5 - 5x

Add 5x to both sides

- x < - 5

Remember the coefficient of x is negative, then when you divide both sides by it you must reverse the sign of inequality

The coefficient of x is -1

Divide both sides by -1

x > 5

Therefore the correct statements are options C and option D.

  • - 6x + 15 < 10 - 5x ⇒ 3rd answer
  • An open circle is at 5 and a bold line starts at 5 and is pointing to the right.

To know more about inequality follow

brainly.com/question/24372553

#SPJ1

4 0
2 years ago
Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help
Sindrei [870]

Answer:

B

Step-by-step explanation:

Since both angles together need to equal 180, set up your formula as

(x+30)+(x+10)=180

2x+40=180

3 0
3 years ago
What is x<br><br> g(x) = 2x + 9
Hitman42 [59]
The answer is 3x (I need 20 characters to send response so here is random words to fill space baidhevebejdb)
8 0
3 years ago
Read 2 more answers
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