Answer:
1/3(n) - 3 < 6; n < 27
Step-by-step explanation:
" 3 subtracted from one third of a number"
= 1/3(n) - 3
given that this is less than 6:
1/3(n) - 3 < 6
1/3(n) < 6 +3
1/3(n) < 9
n < 27
<h2><em><u>
Answer:</u></em></h2>
Total Surface Area = 375 
<h2><em><u>
Step-by-step explanation:</u></em></h2>
You need to find the area of the ceiling, floor, the two rectangle walls and the two trapezoid walls
<u>Area of the ceiling:</u>
c = length * width
c = 9*6.5 = 58.5
<u>Area of the 2 rectangle walls:</u>
w = 2(length * width)
w = 2(9 * 8)
w = 2(72)
w = 144
<u>Area of floor:</u>
f = 9 * 7.5
f = 67.5
<u>Area of the two trapezoids:</u>

a = 6.5
b = 7.5
h = 7.5






Total Surface Area = c + w + f + t
Total Surface Area = 58.5 + 144 + 67.5 + 105
Total Surface Area = 375 
<u>End behavior: </u>
The parent function is: f(x) = x³, which starts (from the left side) at -∞ and ends (on the right side) at +∞.
<u>Zeroes:</u>
f(x) = x³ + 2x² - 8x
0 = x³ + 2x² - 8x
0 = x(x² + 2x - 8)
0 = x(x + 4)(x - 2)
0 = x 0 = x + 4 0 = x - 2
x = 0 x = -4 x = 2
<u>Intervals:</u>
Put the zeroes in order: -4, 0, 2
since f(x) is increasing from the left then the interval from -4 to 0 is positive and the interval from 0 to 2 is negative.
<u>Graph:</u>
see attachment
Answer:
x > 0
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
And we need to find the value of x for which the expression is defined . The expression is ,
√[3x²] ÷ √[4x]
As we can see that x is inside the squareroot. So for defining the expression the value of x should be Greater than 0 . As negative inside the squareroot will give rise to imaginary numbers.
<u>Solution </u><u>:</u><u>-</u><u> </u>
x > 0
<u>In </u><u>interval </u><u>notation</u><u> </u><u>:</u><u>-</u><u> </u>

<u>Therefore x should be Greater than 0 .</u>
Answer:
set it up as equation
Step-by-step explanation:
hope this helps you get started