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Lorico [155]
2 years ago
11

What is the classification for this polynomial?

Mathematics
1 answer:
tresset_1 [31]2 years ago
7 0
Polynomials are classified according to their number of terms. 4x3 +3y + 3x2 has three terms, -12zy has 1 term, and 15 - x2 has two terms. As already mentioned, a polynomial with 1 term is a monomial. A polynomial with two terms is a binomial, and a polynomial with three terms is a trinomial.
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(X^4)-(45x^2)+324 what are the zeroes? And how many turning points?
dmitriy555 [2]

Zeroes:

We must solve

x^4-45x^2+324=0

To do so, we define the auxiliary variable t=x^2. The equation becomes

t^2-45t+324=0

The quadratic formula yields the solutions

t=9,\quad t=36

Substituting back t=x^2 gives

x^2=9 \iff x=\pm 3,\quad x^2=36 \iff x=\pm 6

So, the zeroes are -6, -3, 3, 6.

Turning points:

Turning points are points where a function stops being increasing to become decreasing, or vice versa. Since functions are increasing when their first derivative is positive and decreasing when it's negative, turning points are points where the first derivative is zero.

We have

f(x)=x^4-45x^2+324 \implies f'(x)=4x^3-90x

If we set the derivative to be zero, we have

4x^3-90x=0 \iff x(4x^2-90)=0

So, the derivative is zero if x=0 or

4x^2=90 \iff 2x^2=45 \iff x^2=\dfrac{45}{2}\iff x=\pm\sqrt{\dfrac{45}{2}}

6 0
2 years ago
Find the value of x when <br> 2x = 64
Firlakuza [10]
64/2= 32

x=32

answer is 32


4 0
2 years ago
Read 2 more answers
Allan paid $340 to have his car fixed at an auto-repair shop.
Gala2k [10]

Answer:

5 Hours

Step-by-step explanation:

340 = 215 + 25x

DO INVERSE OPERATIONS ~ MINUS BOTH SIDES OF THE = SIGN

340 - 215 = 125

215 - 215 = 0

125 = 25x

DIVIDE BOTH SIDE NOW

125 / 25 = 5

25x / 25 = 1 = x

<em>5 Hours</em>

3 0
3 years ago
Read 2 more answers
a store has a 20% off sale on pants with this discount, the price of one pair of pants before tax is $15.20. what was the origin
anastassius [24]

Answer:

19$

Step-by-step explanation:

In this problem, we have to apply the rule of three. Also, we must have present that $15.20 is the 80% of the price, because the store offers a 20% of discount. So, if $15.20 is 80%, how much would be the 100%?

Therefore, the original price of the pants is $19.

Remember that we must identified the right proportion to apply the rule of three, in this case, that proportion is the 80% with 15.20, that's the reason or fraction center of the whole operation.

7 0
2 years ago
Value (in billions) 2017 2018
Tomtit [17]

The Owner's Equity for commercial banks in  2017-2018 is $0.4 billion.

The given is,

Borrowings = $0.10 Billion

Owner's Equity = $0.40 Billion

<h3 /><h3>What is the formula for the total liabilities?</h3>

Total liabilities = deposits + borrowings

So we have Borrowings = total liabilities - deposits

Borrowings in 2017

= $14.60 - 11.90

= $2.70 billion

Borrowings in 2018

= $14.80 - $12.20

= $2.60 billion

Borrowings from 2017-2018

= 2.60 - 2.70

= $0.10 billion

Owner's Equity= total assets - total liabilities

Owner’s equity in 2017

= $16.2 - $14.6

= $1.6 billion

Owner’s equity in 2018

= $16.8 - $14.8

= $2 billion

Owner's Equity from 2017-2018

= 2 - 1.6

= $0.4 billion

To learn more about the Borrowings visit:

brainly.com/question/15948713

8 0
2 years ago
Read 2 more answers
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