7x - 11 = -19 + 3x
Let's first get the x isolated to one side, so subtract 3x from both sides:
4x - 11 = -19
Now add 11 to both sides:
4x = -8
Now to get x by itself, divide 4x by 4, and then divide the other side by 4, leaving:
x = -2
Check your work:
7(-2) - 11 = -19 + 3(-2)
-14 - 11 = -19 - 6
-25 = -25
Yep!
B. sometimes
sometimes it’s a line and sometimes it’s dashed depending on the less than great than sign
<h3>Given</h3>
- a rectangle x units wide and y units high divided into unit squares
<h3>Find</h3>
- The total perimeter of the unit squares, counting each line segment once
<h3>Solution</h3>
For each of the y rows of squares, there are x segments at the top, plus another x segments at the bottom. The total number of horizontal segments is then
... horizontal segment count = (y +1)x
Likewise, for each of the x columns of squares, there are y segments to the left, plus another y segments to the right of the entire area. Then the total number of vertical segments is
... vertical segment count = (x+1)y
The total segment count is ...
... total segments = horizontal segments + vertical segments
.. = (y+1)x +(x+1)y
... total segments = 2xy +x +y
_____
<u>Check</u>
We know a square (1×1) has 4 segments surrounding it.
... count = 2·1·1 +1 +1 = 4 . . . . (correct)
We know the 3×3 window in the problem statement has 24 segments.
... count = 2·3·3 +3 +3 = 18 +3 + 3 = 24 . . . . (correct)
We know a 1×3 row of panes will have 10 frame elements.
... count = 2·1·3 +1 +3 = 6 +1 +3 = 10
It looks like our formula works well.
Answer:
N=0.019666a-0.983284 or
A = 50.85n + 50
Step-by-step explanation:
Let's solve for n.
a = 50 + 50.85n
Step 1: Flip the equation.
50.85n + 50 = a
Step 2: Add -50 to both sides.
50.85n+50+-50=a+-50
50.85n n = a - 50
Step 3: Divide both sides by 50.85.
50.85n
50.85
=
a-50
50.85
n=0.019666a-0.983284
Let's solve for a.
a = 50 + 50.85n
X-intercept: y = 0
y-intercept: x = 0
3x + 4y = 0
x-intercept: subtitute y = 0
3x + 4 · 0 = 0
3x = 0
x = 0 → (0; 0)
y-intercept: subtitute x = 0
3 · 0 + 4y = 0
4y = 0
y = 0 → (0; 0)
