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k0ka [10]
3 years ago
6

What inequality is equivalent to -3x+2y>5y+9

Mathematics
2 answers:
Leona [35]3 years ago
6 0
        -3x + 2y > 5y + 9
               - 5y  - 5y
         -3x - 3y > 9
 -3x + 3x - 3y > 3x + 9  
                -3y > 3x + 9
                 -3        -3
                   y < -x + 3
Nady [450]3 years ago
4 0
-3x+ 2y > 5y+ 9
⇒ -3x > 5y -2y+ 9
⇒ -3x > 3y+ 9
⇒ x < (3y+ 9)/(-3)
⇒ x < -y -3

The inequality equivalent to -3x+ 2y > 5y+ 9 is x < -y -3~
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Answer:

y = 1/2x + 2

Comparison: The black and blue line haver the same y-intercept, however they have different slopes. The slope of the black line is 2/3 and the slope of the blue line is 1/2.

Step-by-step explanation:

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7 0
3 years ago
Write an equation of the line with the given information. m. 4. A(-1.-5)
11Alexandr11 [23.1K]

Answer:

An equation of the line with the given information with

m = 4 and point A(-1, -5) is:

  • y=4x-1

Step-by-step explanation:

As the equation of a line in point-slope form is given by:

y-y_1=m\left(y-x_1\right)

where m is the slope.

Given:

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  • the point A(-1, -5)

Substituting the values in the equation of a line in point-slope form

y-y_1=m\left(x-x_1\right)

y\:-\:\left(-5\right)\:=\:4\:\left(x\:-\:\left(-1\right)\right)

y+5=4\left(x+1\right)

subtract 5 from both the sides

y+5-5=4\left(x+1\right)-5

y=4x-1

Therefore, an equation of the line with the given information

with m = 4 and point A(-1, -5) is:

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3 0
3 years ago
Find the equation of a line containing the following points. Write the equation in slope-intercept form.
Sindrei [870]

Answer:

y=1/4x + 1.75

Step-by-step explanation:

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8 0
3 years ago
In what form is the equation y=7=3/4(x-5) written?
jeka94
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3 years ago
Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3
Nat2105 [25]

<em><u>Question:</u></em>

Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1/2 inches long. The scale of the floor plan is 1/4 inch = 1 foot. What is the actual length of Hector’s room?

<em><u>Answer:</u></em>

The actual length of Hector room is 14 foot

<em><u>Solution:</u></em>

Given that, On the floor plan, his bedroom is 3 inches wide and 3\frac{1}{2} inches long

<em><u>The scale of floor plan is given as:</u></em>

\frac{1}{4} \text{ inch} = 1 \text{ foot }

Therefore,

1 \text{ inch } = 4 \text{ foot}

To find: Actual length of floor

From given question,

length = 3\frac{1}{2} \text{ inches}

Converting the mixed fraction to improper fraction,

length = \frac{2 \times 3 + 1}{2} = \frac{7}{2} \text{ inches }

Since, 1 inch = 4 foot

\frac{7}{2} \text{ inches } = \frac{7}{2} \times 4 \text{ foot } = 14 \text{ foot }

Thus actual length of Hector room is 14 foot

6 0
3 years ago
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