Answer:
1) x=0.465
2) option A.
Step-by-step explanation:
1) The given equation is:
We rewrite this as logarithm to get:

The change of base formula is:

We apply the change of base formula on the RHS to get:



Group similar terms:

2)
From the graph, the logarithmic function approaches negative infinity as x approaches -6.
Therefore the vertical asymptote is x=-6
The graph touches the x-axis at x=-5, therefore the x-intercept is x=-5.
The correct answer is A.
Answer:
see below
Step-by-step explanation:
The graph extends to the left more or less horizontally, approaching the line y=3. The only choice that expresses that is the third one.
Answer:
is it 38? cause 12 times 3 is 36 add 2 which is 38
Answer:
B
Step-by-step explanation:
The diagram shows two box plots.
Liam's box plot shows the median = 10
the range = 20 - 4 = 16
Sumat's box plot shows the median = 14
the range = 22 - 3 = 19
Difference between medians is 14 - 10 = 4
between ranges is 19 - 16 = 3
Thus, correct option is option B
Answer:
4.8 inches
Step-by-step explanation:
<em>See comment for complete question</em>
Represent the larger triangle with 1 and the smaller with 2.
So, we have:
-- height of 1
Required
Determine H2 --- Height of 2
To do this we apply dilation formula.

In this case:

Substitute 6 for H1 and 0.8 for Scale Factor


Hence, the height of the smaller triangle is 4.8 inches