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3 years ago

Copy the expressions which are polynomials. Give reasons why the remaining are

Mathematics

1 answer:

kupik [55]3 years ago

8 0

Answer: a and c are polynomials, b is not.

Step-by-step explanation:

A polynomial p(x) is written as:

p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰

where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.

Notice that the powers need to be always natural numbers.

Now, let's analyze the options:

a) 3*x - 2

We can rewrite this as:

3*x¹ - 2*x⁰

Then this is a polynomial.

b) p² + 1/p (in this case the variable is p)

the second term can be written as:

1/p = p⁻¹

Then we have a term with a negative power of p, this means that this is not a polynomial.

c) 3*y² - 2*y/3 + 1

Same as in the first case, we can rewrite this as:

3*y² - (2/3)*y¹ + 1*y⁰

This is a polynomial.

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Read 2 more answers

I was sick for a week and never got tought this stuff can you help

Crank

1. We know that Sum of Three Angles in a Triangle is 180

⇒ m∠1 + 75 + 40 = 180

Option B is the Answer

2. We know that Sum of Three Angles in a Triangle is 180

⇒ ∠1 + 30 + 20 = 180

⇒ ∠1 + 50 = 180

⇒ ∠1 = 180 - 50

⇒∠1 = 130

3. We know that Sum of Three Angles in a Triangle is 180

⇒ ∠1 + 75 + 35 = 180

⇒ ∠1 + 110 = 180

⇒ ∠1 = 180 - 110

⇒ ∠1 = 70

4. We know that Sum of Three Angles in a Triangle is 180

⇒ ∠1 + 60 + 60 = 180

⇒ ∠1 + 120 = 180

⇒ ∠1 = 180 - 120

⇒ ∠1 = 60

5. We know that Sum of Three Angles in a Triangle is 180

We can notice that the Given Triangle is a Right Angled Triangle

We know that One Angle in Right Angled Triangle is 90

⇒ ∠2 + 90 + 30 = 180

⇒ ∠2 + 120 = 180

⇒ ∠2 = 180 - 120

⇒ ∠2 = 60

6. We know that Sum of Three Angles in a Triangle is 180

We can notice that the Given Triangle is a Right Angled Triangle

We know that One Angle in Right Angled Triangle is 90

⇒ ∠2 + 90 + 40 = 180

⇒ ∠2 + 130 = 180

⇒ ∠2 = 180 - 130

⇒ ∠2 = 50

7. We know that Sum of Three Angles in a Triangle is 180

We can notice that the Given Triangle is a Right Angled Triangle

We know that One Angle in Right Angled Triangle is 90

⇒ ∠2 + 90 + 45 = 180

⇒ ∠2 + 135 = 180

⇒ ∠2 = 180 - 135

⇒ ∠2 = 45

8. We know that the Exterior Angle of one Vertex of a Triangle is the Sum of Other two vertices interior angles.

⇒ ∠3 = 80 + 60

⇒ ∠3 = 140

9. We know that the Exterior Angle of one Vertex of a Triangle is the Sum of Other two vertices interior angles.

⇒ ∠3 = 40 + 35

⇒ ∠3 = 75

10. We know that the Exterior Angle of one Vertex of a Triangle is the Sum of Other two vertices interior angles.

⇒ ∠3 = 75 + 65

⇒ ∠3 = 140

11. We know that Sum of Three Angles in a Triangle is 180

⇒ x + x + 108 = 180

⇒ 2x + 108 = 180

⇒ 2x = 180 - 108

⇒ 2x = 72

⇒ x = 36

12. We know that Sum of Three Angles in a Triangle is 180

⇒ 60 + 60 + 3x = 180

⇒ 3x + 120 = 180

⇒ 3x = 180 - 120

⇒ 3x = 60

⇒ x = 20

13. We know that Sum of Three Angles in a Triangle is 180

We can notice that the Given Triangle is a Right Angled Triangle

We know that One Angle in Right Angled Triangle is 90

⇒ (5x + 3) + 47 + 90 = 180

⇒ 5x + 140 = 180

⇒ 5x = 180 - 140

⇒ 5x = 40

⇒ x = 8

14. We can notice that the Given Diagram is a Right angled Triangle :

⇒ ∠1 + 90 + 45 = 180

⇒ ∠1 + 135 = 180

⇒ ∠1 = 180 - 135

⇒ ∠1 = 45

8 0

3 years ago

runben sees 14 wheels on a total of 6 bicycles and tricycles how many bicycles and tricycles are there

olganol [36]

Answer:

B = 4

T = 2

Step-by-step explanation:

First, figure out the equation.

We know that bicycles have 2 wheels, that there are 3 on a tricycle, and there are a total of 14 wheels and a total of 6 bicycles and tricycles.

Let b stand for bicycles and t stand for tricycles:

14 = 2b + 3t

6 = b + t

We can figure out the amount of either by rearranging the second equation to isolate one variable. I will solve it in two ways

In the first way, I will solve for b

(-t) 6 = b + t (-t)

6 - t = b

Plug this into the first equation and solve for remaining variable

14 = 2(6 - t) +3t

14 = 12 - 2t + 3t

14 = 12 +t

-12 -12

2 = t

6 - 2 = b

b = 4

The second way was to solve for t first

(-b) 6 = b + t (-b)

6 - b = t

14 = 2b + 3(6 - b)

14 = 2b + 18 - 3b

(-18) 14 = 18 -b (-18)

-4/-1 = -b/-1

b = 4

6 - 4 = t

t = 2

It doesn't matter which way you go, they both give you the exact same answer.

Sooo, recap!

1) write equations

2) switch the easier of the two to isolate one variable

3) substitute to find other variable (x2)

4) Find answers! =D

Hope this helps!

8 0

3 years ago

Can someone answer this question please answer it correctly

Mashcka [7]

Answer:

40/100

Step-by-step explanation:

I'm not sure if its correct, but if there is a total of 100 magazines and there are 40 woman magazines it must be 40/100

7 0

3 years ago