12. For which of the following solids are all cross sections circular?

Find the degree of the polynomial 2x^4y^2+9x^2y^5-3x^4y^4

coldgirl [10]

Answer:

the polynomial has degree 8

Step-by-step explanation:

Recall that the degree of a polynomial is given by the degree of its leading term (the term with largest degree). Recall as well that the degree of a term is the maximum number of variables that appear in it.

So, let's examine each of the terms in the given polynomial, and count the number of variables they contain to find their individual degrees. then pick the one with maximum degree, and that its degree would give the actual degree of the entire polynomial.

1) term $2\,x^4\,y^2$ contains four variables "x" and two variables "y", so a total of six. Then its degree is: 6

2) term $9\,x^2\,y^5$ contains two variables "x" and five variables "y", so a total of seven. Then its degree is: 7

3) term $-3\,x^4\,y^4$ contains four variables "x" and four variables "y", so a total of eight. Then its degree is: 8

This last term is therefore the leading term of the polynomial (the term with largest degree) and the one that gives the degree to the entire polynomial.

8 0

3 years ago

Read 2 more answers

−6x+14<−28 OR 9x+15≤−12

Serhud [2]

Answer:x>7 or x ≤ -3

Solving the 1st inequality

-6x +14 < -28 --------------- (Collect like terms)

-6x < -28 - 14

-6x < - 42 -------------------- (Divide both sides by -6)

Note: If you decide an inequality expression by a negative value, the inequality sign changes)

-6x/-6 > -42/-6

x > 7

Solving the 2nd inequality

9x + 15 ≤ −12 ----------- (Collect like terms)

9x ≤ −12 - 15

9x ≤ −27 ------------------(Divide both sides by 9)

9

9x/9 ≤ −27/9

x ≤ -3

Bring both results together, we get

x>7 or x ≤ -3

The final result is complex (i.e. can't be combined together).

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Which of the following quartic functions has x=-1 and x=-2 as its only two real zeros

Brums [2.3K]

Quartic is 4th degree
the factors of an equation with roots r1,r2 is
(x-r1)(x-r2)
4th degree
it could be
(x-r1)¹(x-r2)³ or
(x-r1)²(x-r2)² or
(x-r1)³(x-r2)¹

roots or zeroes at x=-1 and x=-2
(x-(-1)) and (x-(-2))
(x+1) and (x+2)

the function could be factored into
(x+1)¹(x+2)³ or
(x+1)²(x+2)² or
(x+1)³(x+2)¹

expanded would be
x⁴+7x³+18x²+20x+9 or
x⁴+6x³+13x²+12x+4 or
x⁴+5x³+9x²+7x+2
one of those is the answer

4 0

3 years ago

What is 50 over 30 reduced fraction please?

LekaFEV [45]

1 2/3 is the answerrrrrrr

7 0

3 years ago

The question is below:

Ksivusya [100]

QUESTION -> {WHICH EQUATION DESCRIBES A LINEAR FUNCTION }. 

ANSWER : 

 B . 

 y =(1 — 6 ) × 

 or. 

 

 C . 

 y = (2) ×

HOPE IT HELPS .

<h2> THANK ME LATER </h2>

<h2> THANKS. </h2>

 

 

7 0

2 years ago