3(6x+2) <9
Use distributive property:
18x + 6 < 9
Subtract 6 from both sides
18x < 3
Divide both sides by 18
X < 3/18
Simplify:
X < 1/6
Answer:
<h3>Length = 30 feet </h3><h3>Width = 21 feet </h3>
<em><u>Given </u></em><em><u>-</u></em><em><u> </u></em>Length is nine feet more
Area is 252
<u>To </u><u>find </u><u>-</u><u> </u><u> </u>Value of length and width
<em><u>Solution</u></em><em><u>-</u></em><em><u> </u></em>
let the width of the carpet be X
therefore length = 9 + X
Area of carpet = Length * width
252 = (9+x) * X
252 = 9x + x²
<em><u>Solving </u></em><em><u>the </u></em><em><u>equation </u></em><em><u>by </u></em><em><u>splitting </u></em><em><u>middle </u></em><em><u>term </u></em>
x² + 9x - 252 = 0
x²- 21x + 12x - 252= 0
x ( x - 21) + 12( x - 21) = 0
(x -21)( x + 12) = 0
X = 21 or X = (-12)
Length = 9 + X
= 30 or (-3)
negative is not possible so
length = 30
width = 21
39x-3y=21
-3y=21-39x
(subtract both sides of the equation by 39x and divide both sides by -3)
y=-7+3x : would be the equation for y.
The equation of the line is y = -2/3x - 3.
To find this, we first need to turn the intercepts into ordered pairs.
x intercept: (-4.5, 0)
y intercept: (0, -3)
Now we can use these two points and the slope equation to find slope.
m = (y2 - y1)/(x2 - x1)
m = (0 - -3)/(-4.5 - 0)
m = 3/-4.5
m = -2/3
Now that we have the slope, we can use slope intercept form to find the intercept.
y = mx + b
-3 = 2/3(0) + b
-3 = 0 + b
-3 = b
Which allows us to model the equation as y = -2/3x - 3
