(3x + 1) (2x + 7)
Factored by grouping
Answer:
Hours slept = 6 hours
Hours awake = 18 hours
Step-by-step explanation:
Sasha got 1 hour of sleep for every 3 hours she was awake.
So,
<u>This means:</u>
Slept : Awake = 1 : 3
Total hours in a day = 24 hours
<u>Let </u>
Hours slept = 1x and hours awake = 3x
<u>Hence,</u>
1x + 3x = 24 hours
4x = 24
Divide both sides by 4
x = 24 / 4
x = 6
<u>So,</u>
Hours slept = 1(6) = 6 hours
Hours awake = 3(6) = 18 hours
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Answer:
Required rule for
is
.
Step-by-step explanation:
Given that,

From the question: we have to write the
term of Arithmetic sequence.
Arithmetic Sequence or Arithmetic progression (A.P) : It is a sequence which possess that difference between of two successive sequence is always constant.

where,
is the first term of A.P
is the common difference.
is the last term or general term.
The above sequence to be in A.P then their common difference should be equal.

Now, Formula of General Term is 
So, 
Substituting the value of
we get,

Then General term (
) of given data is

Therefore, Required rule for
is
.
Answer:
y=x, x-axis, y=x, y-axis
Explanation:
Reflecting the figure across three axes just moves it from one quadrant to another. It does not map the figure to itself.
Reflecting across the line y=x moves it from quadrant II to IV or vice-versa. If it is in quadrant I or III, it stays there. So the sequence of reflections x-axis (moves from I to IV), y=x (moves from IV to II), x-axis (moves from II to III), y=x (stays in III) will not map the figure to itself.
However, the last selection will map the figure to itself. The initial (and final) figure location, and the intermediate reflections are shown in the attached. The figure starts and ends as blue, is reflected across y=x to green, across x-axis to orange, across y=x to red, and finally across y-axis to blue again.