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Assoli18 [71]
3 years ago
11

Subtract polynomials (intro)

Mathematics
1 answer:
ELEN [110]3 years ago
4 0

Answer:

The result in standard form is:

\left(-5t+4t^2-t\right)-\left(8t^2+t\right)=-4t^2-7t

Step-by-step explanation:

Given the polynomials

  • -5t+ 4t² – t
  • 8t² + t

subtracting 8t² + t from -5t+ 4t² – t.

\left(-5t+\:4t^2\:-\:t\right)\:-\:\left(8t^2\:+\:t\right)

Remove parenthese: (-a) = -a

i.e. - (8t² + t) = 8t² - t

so the expression becomes

=-5t+4t^2-t-8t^2-t        

grouping the like terms

=4t^2-8t^2-5t-t-t

Add similar elements: 4t² - 8t² = -4t²

=-4t^2-5t-t-t

Add similar elements: -5t - t - t = -7t

=-4t^2-7t

Therefore, the result in standard form is:

\left(-5t+4t^2-t\right)-\left(8t^2+t\right)=-4t^2-7t

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Hi please help me thanksss<br>pls provide workings too thanks :)​
anygoal [31]

Step-by-step explanation:

Search for questions & chapters

Class 11

>>Maths

>>Trigonometric Functions

>>Trigonometric Equations

>>Solve for x: sin x + sin 2x...

Question

Bookmark

Solve for x:sinx+sin2x+sin3x=cosx+cos2x+cos3x in the interval 0≤x≤2π.

Medium

Solution

verified

Verified by Toppr

We write the given equation as

(sinx+sin3x)+sin2x=(cosx+cos3x)+cos2x

or 2sin2xcosx+sin2x=2cos2xcosx+cos2x

or sin2x(2cosx+1)=cos2x(2cosx+1)

or (sin2x−cos2x)(2cosx+1)=0

∴sin2x−cos2x=0 or 2cosx+1=0

If sin2x−cos2x=0, then tan2x=1,

Hence 2x=nπ+π/4

or x=(4n+1)

8

π

.(1)

If 2cosx+1=0, then cosx=−1/2 (2)

∴x=2nπ±

3

2π

or x=

3

6n±2

π

We seek values of x in the interval 0≤x≤2π

In this interval (1) gives

x=π/8,5π/8,9π/8,13π/8. (n=0,1,2,3)

and (2) gives x=2π/3,4π/3. (for n=0,1)

Thus we get the answer

x=π/8,5π/8,2π/3,9π/8,4π/3,13π/8.

4 0
2 years ago
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Sergeeva-Olga [200]

Answer:

  upper right

Step-by-step explanation:

The net for a figure is a representation of all of the figure's faces. The polygons in the net are joined on an edge corresponding to a common edge between the faces they represent.

The given figure is a rectangular prism. Its faces are only rectangles. All nets that have triangles in the net can be eliminated from consideration.

The appropriate choice is the one attached.

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2 years ago
Which answer is the most reasonable estimation? Lance is organizing his baseball card collection into albums. Each album can hol
RSB [31]
Hello there.

Which answer is the most reasonable estimation? Lance is organizing his baseball card collection into albums. Each album can hold up to 50 cards. He has 202 cards in his collection. About how many albums will Lance need? A. about 5 B. about 10 C. about 50 D. about 150

Answer: A) 5

8 0
3 years ago
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3 years ago
2x+3y=12 find four solutions​
Nana76 [90]

Answer:

y = 0 and x = 6

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y = 4 and x = 0

y = 6 and x = -3

Step-by-step explanation:

2x+3y=12 is the equation of a straight line.

There are infinite number of solutions, but here you're probably looking for solutions where x and y are whole numbers. Trial and error will find you some, although if you examine the equation closely you see that if x is a multiple of 3 and y is a multiple of 2, then they produce terms that are the LCM (least common multiple) of 2 and 3, namely 6. That's the logic in the whole number solutions.

7 0
3 years ago
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