Simplify (x3 + 3x2 + 5x – 4) – (3x3 – 8x2 – 5x + 6)
The first thing I have to do is take that "minus" sign through the parentheses containing the second polynomial. Some students find it helpful to put a "1" in front of the parentheses, to help them keep track of the minus sign.
Here's what the subtraction looks like, when working horizontally:
(x3 + 3x2 + 5x – 4) – (3x3 – 8x2 – 5x + 6)
(x3 + 3x2 + 5x – 4) – 1(3x3 – 8x2 – 5x + 6)
(x3 + 3x2 + 5x – 4) – 1(3x3) – 1 (–8x2) – 1(–5x) – 1(6)
x3 + 3x2 + 5x – 4 – 3x3 + 8x2 + 5x – 6
x3 – 3x3 + 3x2 + 8x2 + 5x + 5x – 4 – 6
–2x3 + 11x2 + 10x –10
And here's what the subtraction looks like, when going vertically:
x
3
−(3x
3
+3x
2
−8x
2
+5x
−5x
−4
+6)
In the horizontal addition (above), you may have noticed that running the negative through the parentheses changed the sign on each and every term inside those parentheses. The shortcut when working vertically is to not bother writing in the subtaction sign or the parentheses; instead, write the second polynomial in the second row, and then just flip all the signs in that row, "plus" to "minus" and "minus" to "plus".
\
x
3
–3x
3
−2x
3
+3x
2
+8x
2
+11x
2
+5x
+5x
+10x
−4
–6
−10
Either way, I get the answer:
–2x3 + 11x2 + 10x – 10
Answer:
<em>( </em>
<em> , </em>
<em> ) </em>
Step-by-step explanation:
( 
, 
)
( 
, 
)
Coordinates of midpoint are
( 
, 
)
~~~~~~~~~~~~~~~~~~~~
The figure is right triangle.
The circumcenter is the middle of the hypotenuse.
( - 2, 4 )
( 1 , - 1 )
<em>( </em><em> , </em><em> ) </em>
Answer:
2nd choice B.
Step-by-step explanation:
You can use the options A-D to help you eliminate pretty quickly without actually graphing
So first chose says you have the graph on the left when x<1 But you should see our visual actually says we want to include what happens at 1 (the filled dot) so this isn't the answer
Second choice Possible
Third choice... I'm just going to look at one of the parts... x^2+4 for x<=1 says we should have part of a parabola to the left of x=1 (inclusive) but there is not parabola in our visual
Fourth choice: same reason as third choice
Answer is the 2nd
Answer:
The number of skateboard company sell during the month of August = 55
Step-by-step explanation:
We have given,
Profit function for Bob, P = x²+ 10x - 12
Bob's profit during August month is $3,563
That means, P = $3,563
We can use the profit formula given for Bob's profit:
P = x² + 10x - 12
Plug P =$3,563 in above formula.
i.e 3,563 = x² + 10x - 12
or 0 = x² + 10x -12 - 3,563
or 0 = x² + 10x - 3575
or x = 55, -65
Since number of skate boards can not be negative.
So we consider x= 55
Hence the number of skateboard company sell during the month of August = 55.
There are exactly 360° in a circle, so the angle measure would be 3/360 * 360 = 3°.
