Answer:
option C.
Step-by-step explanation:
since the graph y = 6x is shrunk by a factor of ½
it becomes y = 3x
to find one coordinate of this graph we put x = 1 so that we get y = 3
so one point we have is (1, 3).
and the other point is origin
[ for if you keep x = 0 then 3 × 0 = 0 so y comes 0 too.]
now this graph is translated 9 units in the negative y direction
so the point that initially was (0, 0) now becomes (0, -9).
we see that the only graph passing thru (0, -9) is C.
so the answer is <u>option C.</u>


Answer:
x(log(x) - 1) + C
Step-by-step explanation:
The formula for the derivative of a logarithm function is:

For your case, the base is 10. Now that we have the derivative, lets use integration by parts. I will be differentiating log(x) and integrating 1:
u = log(x)
du = dx/xlog(10)
dv = 1
v = x
You get:
log(x)x - integral(dx/log(10))
Therefore the answer is:
log(x)x - x/log(10) + C
x(log(x) - 1) + C
Answer:
a)
<em> you are unwilling to predict the proportion value at your school = 0.90</em>
<em>b) </em>
<em>The large sample size 'n' = 864</em>
<em></em>
Step-by-step explanation:
Given estimated proportion 'p' = 10% = 0.10
<em>Given Margin of error M.E = 0.02</em>
<em>Level of significance α = 0.05</em>
a)
<em> you are unwilling to predict the proportion value at your school </em>
<em> q = 1- p = 1- 0.10 =0.90</em>
b)
<em>The Margin of error is determined by</em>


Cross multiplication , we get

√n = 29.4
<em>Squaring on both sides , we get</em>
<em> n = 864.36</em>
<u><em>Conclusion</em></u><em>:-</em>
<em>The large sample size 'n' = 864</em>
<em></em>
<em></em>
Answer:
Either
or
, depending on whether
is larger than
.
Step-by-step explanation:
The two roots (might necessarily be distinct or real) of the quadratic equation
, where
,
, and
are constants and
are
, and
.
The difference between the two will be either:
or
.
For this question,
, or
.