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kow [346]
3 years ago
13

Given that f(x)=x^2+3x-28f(x)=x

Mathematics
1 answer:
spayn [35]3 years ago
6 0

9514 1404 393

Answer:

  x^2 +4x -21

Step-by-step explanation:

Substitute the given expressions and simplify.

  f(x) + g(x)

  = (x^2 +3x -28) +(x +7)

  = x^2 +(3+1)x +(-28 +7)

  = x^2 +4x -21

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What binomial do you have to add to the polynomial:
marshall27 [118]

Answer:

a)  -2x^2+5xy

b)  -3y^2+5xy

Step-by-step explanation:

<u>Part (a)</u>

Given polynomial  :2x^2+3y^2-5xy+1

The binomial that should be added to the given polynomial to get a polynomial that does not contain the variable x is:

-2x^2+5xy

(2x^2+3y^2-5xy+1)+(-2x^2+5xy)

=2x^2+3y^2-5xy+1-2x^2+5xy

=2x^2-2x^2+3y^2-5xy+5xy+1

=3y^2+1

<u>Part (b)</u>

Given polynomial  :2x^2+3y^2-5xy+1

The binomial that should be added to the given polynomial to get a polynomial that does not contain the variable y is:

-3y^2+5xy

(2x^2+3y^2-5xy+1)+(-3y^2+5xy)

=2x^2+3y^2-5xy+1-3y^2+5xy

=2x^2+3y^2-3y^2-5xy+5xy+1

=2x^2+1

7 0
3 years ago
The first three terms of an arithmetic sequence are as follows.-1, 3, 7Find the next two terms of this sequence
Schach [20]
<h2>Answer:</h2>

11 and 15

<h2>Explanations:</h2>

Given the arithmetic sequence -1, 3, 7 __, __, you are to find the next two terms of the sequence.

The nth term of an arithmetic sequence is given as;

T_n=a+(n-1)d

where:

• a is the ,first term

,

• n is the ,number of terms

,

• d is the ,common difference

From the given sequence;

a = -1

d = 3 - (-1) = 7 - 3 = 4

For the fourth term, n = 4;

\begin{gathered} T_4=-1+(4-1)\cdot4 \\ T_4=-1+3(4) \\ T_4=-1+12 \\ T_4=11 \end{gathered}

For the fifth term, n = 5;

\begin{gathered} T_5=-1+(5-1)\cdot4 \\ T_5=-1+4(4) \\ T_5=-1+16 \\ T_5=15 \end{gathered}

Therefore the next two terms of the arithmetic sequence are 11 and 15.

8 0
1 year ago
Simplifying 8x+7-2x-4 completely
Liula [17]

Answer:

6x+3

Step-by-step explanation:

8x+7-2x-4

Combine like terms

8x -2x   + 7-4

6x            +3

5 0
4 years ago
Help please thanks in advance
kompoz [17]

Answer:

The common difference is 0.05.

Step-by-step explanation:

6.1 - 6.05 = 0.05

6.15 - 6.1 = 0.05

6 0
3 years ago
Find the rectangular coordinates of (7, 150°)
Y_Kistochka [10]

Answer:

The coordinates are (-7sqrt(3)/2, 7/2).

Step-by-step explanation:

The rectangular coordinates from polar coordinates is found by:

x = r*cos(theta)

y = r*sin(theta)

Substituting the given values, we get:

x = 7*cos(150 deg) = 7*(-sqrt(3)/2) = -7sqrt(3)/2

y = 7*sin(150 deg) = 7*(1/2) = 7/2

The coordinates are (-7sqrt(3)/2, 7/2).

I hope this helps! :)

4 0
3 years ago
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