The graph is falling on the left hand side and rising on the right hand side.
Since the two ends of graph are in opposite direction, the exponent of variable has to be odd. For an even exponent of leading term, the two ends are in same direction.
Since the graph is falling on left and rising on right, this indicates that the coefficient of leading term is positive.
So, the leading term must have:
1) Odd exponent
2) Positive Coefficient
Thus, option Fourth is the correct answer
Answer:
Yep!
Step-by-step explanation:
I'm not 100% sure if your first one is correct, but I know the second one is! Great job :)
7 x 13 = 91.......so 91 is not a prime, it is a composite
Step-by-step explanation:
We know that,
Where,
X = raw score = 84
μ = mean = 68
σ = standard deviation = 10
Putting the values,
The percent of his sales that were less than or equal to 84 inches, is
Therefore, the remaining 100-94.5=5.5% were more than 84 inches.
Surface area of box=1200 cm²
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
= the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>
<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>
by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>
<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000
v=4000</span>
