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fgiga [73]
3 years ago
15

Simplify m²n+3xy-nm²-yx​

Mathematics
1 answer:
vlabodo [156]3 years ago
5 0
Answer:
2xy

Explanation:
m^2n+3xy-nm^2-yx
Rewrite nm^2 as m^2n
=m^2n+3xy-m^2n-yx
Rewrite yx as xy
=m^2n+3xy-m^2n-xy
=3xy-xy
=2xy

I hope this helps!
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Maru [420]

Answer:

65°

Step-by-step explanation:

2x= 130° (vertically opposite angles)

x= 130/2

x= 65°

8 0
3 years ago
Read 2 more answers
If f(1) = 0, what are all the roots of the function f(x)=x^3+3x^2-x-3? Use the Remainder Theorem.
Sophie [7]
There's no if about it, 

f(x)=x^3+3x^2-x-3


has a zero f(1)=0 so x-1 is a factor.   That's the special case of the Remainder Theorem; since f(1)=0 we'll get a remainder of zero when we divide f(x) by x-1.

At this point we can just divide or we can try more little numbers in the function.  It doesn't take too long to discover f(-1)=0 too, so  x+1 is a factor too by the remainder theorem.  I can find the third zero as well; but let's say that's out of range for most folks.

So far we have 

x^3+3x^2-x-3 = (x-1)(x+1)(x-r)

where r is the zero we haven't guessed yet.  Again we could divide f(x) by (x-1)(x+1)=x^2-1 but just looking at the constant term we must have

-3 = -1 (1)(-r) = r

so

x^3+3x^2-x-3 = (x-1)(x+1)(x+3)

We check f(-3)=(-3)^3+3(-3)^2 -(-3)-3 = 0 \quad\checkmark

We usually talk about the zeros of a function and the roots of an equation; here we have a function f(x) whose zeros are

x=1, x=-1, x=-3

8 0
3 years ago
Read 2 more answers
How to find slope when there is the y intercept and x-intercept?
natta225 [31]
First graph your x and y intercept then pick any two points on the line.
\frac{rise}{run} = \frac{y2 - y1}{x2 - x1}
that's the equation used to find your slope

Example:

(4,2) (8,6) let's say those are the points you pick from the line

so then you subtract 6-2=4 (6 is your y2 and 2 is your y1)

then subtracts 8-4=4 (8is your x2 and 4 is your x1)

then your left with
\frac{2}{4}
if you can reduce the reduce in this case you can which leaves you with
\frac{1}{2}
and that's how you find the slope
4 0
3 years ago
In a parking Lot with 360 parking spaces, 35% of them are vacant. How many spaces are occupied
vlabodo [156]
126 are occupied. do 360x0.35
8 0
3 years ago
A graph is shown below: A graph is shown. The values on the x axis are 0, 3, 6, 9, 12, and 15. The values on the y axis are 0, 9
Travka [436]
(0, 36) would be the point on the y axis, so 36 is the y-intercept, or the b value in the equation, y = mx + b.
(12,0) is the x-intercept, so we know the line has a negative slope.
The equation for these points would be:
y = -3x + 36
LETTER B
7 0
3 years ago
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