
adding 3.24 x and 8.37x on the right side:


adding 8.09 to both sides:



dividing both sides by 11.61
Answer : x=1.37
Answer:
3/8
Step-by-step explanation:
The possible outcomes
TTT TTH THT THH HHH HHT HTH HTT = 8 outcomes
There are TTH THT HTT 3 with exactly two tails
P ( exactly 2 tails) = 3/8
Answer:
- translate down 3
- reflect across the horizontal line through A
Step-by-step explanation:
1. There are many transformations that will map a line to a parallel line. Translation either horizontally or vertically will do it. Reflection across a line halfway between them will do it, as will rotation 180° about any point on that midline.
In the first attachment, we have elected to translate the line down 3 units.
__
2. Again, there are many transformations that could be used. Easiest is one that has point A as an invariant point, such as rotation CW or CCW about A, or reflection horizontally or vertically across a line through A.
Any center of rotation on a horizontal or vertical line through A can also be used for a rotation that maps one line to the other.
In the second attachment, we have elected to reflect the line across a horizontal line through A.
Answer:
There are none.
Step-by-step explanation:
<u>No calculus involved:</u>
The line, in slope-intercept form, has equation
, ie is always decreasing (easy to spot applying the definition)
Meanwhile,
is always increasing over its domain.
At no point the tangent will be decreasing.
<u>Let's use calculus</u>
We are to solve the equation
which has no real solutions.
Answer:
14.4%, compounded monthly
Step-by-step explanation:
APEX