That is false. The parabola opens to the right.
Answer:
x = 3.431
Step-by-step explanation:
Given equation is,
By taking log on both the sides of the equation,
(3x - 9)log5 = log8
3x - 9 =
3x - 9 = 1.292
3x = 9 + 1.292
x =
x = 3.4306
x ≈ 3.431
I think the correct given number is 212 base 3 and we are
asked to convert this number into base 2.
We should recall that a number let us say X with a base of
Y can also be written as:
X base Y = log X / log Y
Therefore in this case, the new number base should be
equal to the initial number base. That is:
log 212 / log 3 = log X / log 2
So let us find for X:
log X = (log 212 / log 3) * log 2
X = 10 ^ [(log 212 / log 3) * log 2]
X = 10 ^ (1.467754511
X = 29.36
Therefore the new form would be:
<span>29.36 base 2</span>
V=LWH=20
L is 5 more than W
V=5+W
H is 1 less than W
H=-1+W
easy, sub 5+W for L and -1+W for H in LWH=V=20
20=(5+W)(W)(-1+W)
expand
20=W^3+4W^2-5W
minus 20 both sides
W^3+4W^2-5W-20=0
either factor or graph to find the possible values for W
(W+4)(W^2-5)=0
set each to zero
W+4=0
W=-4
impossible, measures cannot be negative
W^2-5=0
add 5
W^2=5
sqrt both sides
W=√5
sub back
L=5+W
L=5+√5
aprox
7.24 rounded
H=-1+W
H=-1+√5
aprox
1.24 rounded
the dimentions are
√5 by (5+√5) by (-1+√5) or aprox
2.24in by 7.24in by 1.24in