NEED HELP ASAP Select the correct answer.
4
X
-4
2
-2
Which of the following inequalities is graphed on the coordinate plane?
O A. y > -21 + 1
OB. y -23 + 1
OC. y < -25 + 1
OD. y < -23 + 1

D. y ≤ -2x = 1

Step-by-step explanation: To determine the inequality, first determine the line equation.

Line equation can be written as

, called point-slope form of a line equation,

where

m is slope of the equation

x₀ and y₀ are points in the line

Slope is calculated as the difference between y-coordinates divided by the difference between the x-coordinates:

From the graph, we have 2 points: (-1,3) and (1,-1), so find slope:

m = -2

Replacing slope and point (0,1) into point-slope form:

This is the equation of the line.

Now, we determine the inequality:

Observe the graph, if the line is a continuous one, it is a less-than-or-equal-to (≤) or more-than-or-equal-to (≥). If it was a dotted line, the symbol would be less-than (<) or more-than (>).

In our case, the line is continuous so it will be ≥ or ≤. To determine which one, we can plug a point located in the shaded part, for example (0,0). Substituting:

y = -2x + 1

0 ≠ -2(0) + 1

0 ≤ 1

Therefore, line equation of the graph is .

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

hey! so 1 (25) out of 4 (100) is 25 so your answer is 25%. it's like quarters!