For this case we have that by definition, the volume of a cube is given by:
Where:
l: It's the side of the cube
According to the statement we have:
Substituting we have:
Thus, the volume of the cube is 
ANswer:
The volume of the cube is
this is hard but I don't understand your language
8x(x - 6)1/2 + 4(x - 6)3/2 = 0
8x(x) - 8x(6)1/2 + 4(x) - 4(6)3/2 = 0
8x² - 48x(1/2) + 4x - 24(3/2) = 0
8x² - 24x + 4x - 36 = 0
8x² - 20x - 36 = 0
x = <u>-(-20) +/- √((-20²) - 4(8)(-36))</u>
2(8)
x = <u>20 +/- √(400 + 1152)</u>
16
x =<u> 20 +/- √1552</u>
16
x = <u>20 +/- √(16 × 97)</u>
16
x = <u>20 +/- √16 √97
</u> 16<u>
</u>x = <u>20 +/- 4 √97
</u> 16
x = <u>20 +/- 4(9.848857802)</u>
16
x = <u>20 +/- 39.39543121</u>
16
x = <u>20 + 39.39543121</u> x = <u>20 - 39.39543121</u>
16 16
x = <u>59.39543121</u> x = <u>-19.39543121</u>
16 16
x = 3.71221445 x = -1.212214451
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Answer:
Step-by-step explanation:
The x-intercepts are the points with y- coordinate of 0
- (x - 3)(x + 8) = 0
- x - 3 = 0 or x + 8 = 0
- x = 3 or x = - 8
a) x-intercepts are
b) midpoint of x-intercepts is
- (3 - 8)/2 = - 5/2 = - 2.5
c) The extheme value has x- coordinate of - 2.5 and y- coordinate
- (-2.5 - 3)(- 2.5 + 8) = (-5.5)(5.5) = - 30.25
d) f(- 2.5) = - 30.25
Answer:
d
Step-by-step explanation:
