Answer:
Part 1) The inequality that represent this situation is 
or 
Part 2) Yes, 8 inches is a reasonable width for his tablet
Step-by-step explanation:
Part 1)
Let
L -----> the length of the screen television
W ----> the width of the screen television
x ----> the width of Andrew's tablet
we know that
------> equation A
----> equation B
The area of the television is
-----> equation C
Substitute equation A and equation B in equation C
------> inequality that represent this situation
Part 2) Determine if 8 inches is a reasonable width for his tablet
For x=8 in
Substitute in the inequality
-----> is true
therefore
Yes, 8 inches is a reasonable width for his tablet
The answer is <span>5, 4, 2
</span>
Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
x³ - 11x² + 38x - 40
(x - 5) * x² = x³ - 5x² Subtract
____________________________
-6x² + 38x - 40
(x - 5) * (-6x) = -6x² + 30x Subtract
____________________________
8x - 40
(x - 5) * 8 = 8x - 40 Sutract
____________________________
0
Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)
Now, let's simplify x² - 6x + 8.
x² - 6x + 8 = x² - 2x - 4x + 8 =
= x² - 2*x - (4*x - 4*2) =
= x(x - 2) - 4(x - 2) =
= (x - 4)(x - 2)
Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0 or x - 4 = 0 or x - 2 = 0
x = 5 or x = 4 or x = 2
Answer:
see explanation :)
Step-by-step explanation:
y
=
−
x
−
4
is in the slope-intercept form for a linear equation,
y
=
m
x
+
b
, where m is the slope and b is the y-intercept. In the given equation,
m
=
−
1 and b
=
−
4
.
Ordered Pairs
x
...
...
.
.
y
4
...
.
−
8
2
...
.
−
6
0
...
.
−
4
−
2
.
...−
2
−
4
...
.
.
0
