Which inequality describes the graph?

Please help I will mark brainlist if correct

love history [14]

--------------------------------------------------------------------------
Equation
--------------------------------------------------------------------------
$y - 9 = - \dfrac{1}{2} (x + 2)$

--------------------------------------------------------------------------
Rearrange the equation
--------------------------------------------------------------------------
$y - 9 = - \dfrac{1}{2} (x + 2) \\ \\
 y - 9 = - \dfrac{1}{2}x - 1 \\ \\
 y - 9 + 9 = - \dfrac{1}{2}x - 1 + 9 \ \Longleftarrow \text{add 9 to both side} \\ \\
 y = -\dfrac{1}{2}x + 8$

--------------------------------------------------------------------------
slope of the perpendicular line
--------------------------------------------------------------------------
slope = 2

(*the slope of the perpendicular line is the <span>negative reciprocal of the slope of line)</span>

---------------------------------------------------------------------------
Substitute slope into equation y = mx + c
---------------------------------------------------------------------------
y = 2x + c

---------------------------------------------------------------------------
Find y-intercept
---------------------------------------------------------------------------
y = 2x + c
At point (0, 4)
4 = 2(0) + c
c = 4

----------------------------------------------------------------------------
Substitute y-intercept into the equation y = 2x + c
-----------------------------------------------------------------------------
y = 2x + 4

----------------------------------------------------------------------------
Answer: y = 2x + 4
-----------------------------------------------------------------------------

3 0

3 years ago

I don’t know how to answer my this math question, it’s easy so please help

Fofino [41]

which one ?

the bottom or the top or is this a trick

7 0

3 years ago

1. Gavin and Seiji both worked hard over the summer. Together, they earned a total of $425. Gavin earned $25 more than Seiji. Ho

Gre4nikov [31]

Let x = the amount that Seini earned
Then x + 25 = the amount that Gavin
The amount Gavin earned would also = 425 - x (your directions asked you to have 2 equations.)
Together they earned 425:
x + (x + 25) = 425
2x + 25 = 425
2x = 400
Now divide both sides by 2 to find x.

Use all of this data to satisfy the directions.

8 0

3 years ago

What is the maximum value of P = 24x + 30y, given the constraints on x and y listed below? x+y (less than or equal to) 5 x-y (gr

valentina_108 [34]

Answer:

Step-by-step explanation:

We have to first find the vertices of the feasible region before we can determine the max value of P(x, y). We will graph all 4 of those inequalities in a coordinate plane and when we do that we find that the region of feasibility is bordered by the vertices (0, 0), (0, 1), (2, 3), and (5, 0). Filling each x and y value into our function will give us the max value of that function.

Obviously, when we sub in (0, 0). we get that P(x, y) = 0.

When we sub in (0, 1) we get 24(0) + 30(1) = 30.

When we sub in (2, 3) we get 24(2) + 30(3) = 138.

When we sub in (5, 0) we get 24(5) + 30(0) = 120.

Obviously, the vertex of (2, 3) maximized our function for a value of 138.

6 0

3 years ago

25 inches measurement yes or no

anyanavicka [17]

Answer:

yes

Step-by-step explanation:

6 0

3 years ago