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pychu [463]
2 years ago
12

Which of the following represents the polynomial 5x + 3x^4 + 15 − 7x3 in standard form, the degree of the polynomial, and the nu

mber of terms?

Mathematics
2 answers:
kkurt [141]2 years ago
6 0
A polynomial is written correctly when the exponents are listed in order from highest to lowest.  The highest exponent then dictates the degree of the whole polynomial.  The first choice above is written in standard form from highest degree to lowest.   Doesn't matter that we might skip the x-squared term or any other x-term, as long as they're in order from highest to lowest.  The degree on that first polynomial, the one you're after, is 4 because that's the highest exponent, and there are 4 terms there.  Terms are "bunches" of numbers and variables stuck together by multiplication and separated by + or - signs. 
vladimir1956 [14]2 years ago
5 0

Answer:

It is

3x^4 − 7x^3 + 5x + 15

degree: 4

number of terms: 4

Step-by-step explanation:

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Prove the identity.
Delvig [45]

Answer:

D. Pythagorean

Step-by-step explanation:

Given the identity

cos²x - sin²x = 2 cos²x - 1.

To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.

Starting from the left hand side

cos²x - sin²x ... 1

According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:

x = rcostheta

y = rsintheta

Substituting into the Pythagoras firnuka we have

(rcostheta)²+(rsintheta)² = r²

r²cos²theta+r²sin²theta = r²

r²(cos²theta+sin²theta) = r²

(cos²theta+sin²theta) = 1

sin²theta = 1 - cos²theta

sin²x = 1-cos²x ... 2

Substituting equation 2 into 1 we have;

= cos²x-(1-cos²x)

= cos²x-1+cos²x

= 2cos²x-1 (RHS)

This shows that cos²x -sin²x = 2cos²x-1 with the aid of PYTHAGORAS THEOREM

5 0
3 years ago
If 4/9 of the 63 fishes in the tank were guppies. How many of the fish were not guppies
ArbitrLikvidat [17]
35 were not guppies.

Explanation:
63/9=7
7*4=28
63-28=35
8 0
2 years ago
14 points :) Please answer fast! ;D
vova2212 [387]

Answer:

x=2y+4

Step-by-step explanation:

Let

x ------> the number of dogs Larry walked

y -----> the number of dogs Kyle walked

we know that

The linear equation that represent this scenario is equal to

x=2y+4

4 0
3 years ago
Please help me please will give brainliest to ​
uranmaximum [27]

Answer:

B.

<h3>step by step explanation</h3>

I hope it's help

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2 years ago
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nevsk [136]

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3 years ago
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