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aliina [53]
3 years ago
8

Which of the following expressions are polynomials?

Mathematics
1 answer:
AlekseyPX3 years ago
5 0

Answer:

1,3 and 5

Step-by-step explanation:

1) -2(7x + 1) − 5(3x2 + 3x + 2)

= -14x - 2 - 15x^2 - 15x - 10

= -15x^2 - 29x - 12

2) (5x2 − 10x + 8) − (10x2 + 19x + 20)

= 5x^2 - 10x + 8 - 10x^2 - 19x - 20

= -5x^2 -29x - 12

3) (-7x2 − 21x + 13) − (8x2 + 8x + 25)

= -7x^2 - 21x + 13 - 8x^2 - 8x - 25

= -15x^2 - 29x - 12

4) (-19x2 − 4x - 7) + (4x2 + 25x − 5)

= -15x^2 + 21x - 12

5) (-17x2 + 2x − 3) + (2x2 − 31x − 9)

= -15x^2 -29x - 12

6) -2(4x − 15) − 3(5x2 + 7x + 6)

= -8x + 30 - 15x^2 - 21x - 18

= -15x^2 - 29x + 12

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Asap pls work our the size of angle x
g100num [7]

Answer:83°

Step-by-step explanation:

43+x=126

x=126-43

x=83

5 0
3 years ago
NO LINKS please. Someone help
irga5000 [103]

Answer:

square root of 65

Step-by-step explanation:

all i am going to say is, Pythagorean theorem.

5 0
3 years ago
A regulation soccer field for international play is a rectangle with a length between 100 m and I 1 O m and a width between 64 1
Natalija [7]

Answer:

  • The smallest area the field could be is 6,400 m²
  • The largest area the field could be is 8,250 m²

Step-by-step explanation:

Given;

smallest possible length of the international soccer field, L₀ = 100 m

smallest possible breadth of the international soccer field, B₀ = 64 m

Largest possible length of the international soccer field, L₁ = 110 m

Largest possible breadth of the international soccer field, B₁ = 75 m

Area of a rectangle is given by;

A = L x B

The smallest area the field could be is calculated as;

A₀ = L₀ x B₀

A₀ = 100 m x 64 m

A₀ = 6,400 m²

The largest area the field could be is calculated as;

A₁ = L₁ x B₁

A₁ = 110 m x 75 m

A₁ = 8,250 m²

6 0
3 years ago
Which point lies on the line with point-slope equation y - 3 = 4(x + 7)?
mixas84 [53]

Answer:

<h2><em>D. (-7, 3)</em></h2>

Step-by-step explanation:

The standard form of a point slope equation of a line is expressed as shown;

y-y₀ = m(x-x₀) where;

m is the slope of the line

(x₀, y₀) is the coordinate of the point that lies in the line.

Comparing the standard equation given with the equation in question

y - 3 = 4(x + 7) to get the point on the line we will have;

y₀  = 3 and -x₀ = 7

for -x₀ = 7;

multiply both sides with a minus sign

-(-x₀) = -7

x₀ = -7

<em>Hence the coordinate of the point required (x₀, y₀) is (-7, 3).</em>

7 0
3 years ago
The product of (a + b)(a − b) is a2 − b2. (1 point) Sometimes Always Never
jenyasd209 [6]
ANSWER

\boxed{Always}
EXPLANATION


The given product is

( a - b)(a + b)

This is always equal to

{a}^{2}  -  {b}^{2}


The identity

( a - b)(a + b) =  {a}^{2}  -  {b}^{2}


is called difference of two squares.


We can verify this by simply expanding the brackets using the distributive property to obtain,


( a - b)(a + b) =  a(a + b) - b(a + b)



( a - b)(a + b) =  {a}^{2}   + ab - ab-  {b}^{2}

This simplifies to

( a - b)(a + b) =  {a}^{2}  -  {b}^{2}
6 0
3 years ago
Read 2 more answers
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