Consider the degree of each polynomial in the problem. The first factor has a degree of . The second factor has a degree of . The third factor has a degree of . The product has a degree of

Answers

Answer 1

The first factor of the expression has a degree of 2.

The second factor has a degree of 3.

The third factor has a degree of 2.

The product has a degree of 7.

[tex](a^{2} ) (2a^{3} )(a^{2}-8a+9)[/tex]

The given expression of this problem is:

The degree of an expression is deduct by the exponent of each power.

So, the first factor of the expression has a degree of 2, because that's the exponent.

The second factor has a degree of 3.

The third factor has a degree of 2.

Now, to know the degree of the product, we have to solve the expression, and see what is the degree of the resulting polynomial expression:

[tex](a^{2})(2a^{3})(a^{2} -8a+9)[/tex]

[tex]2a^{5} (a^{2} -8a+9)[/tex][tex]\\2a^{7} -16a^{6}+18a^{5}[/tex]

so, as you can see, the product has a degree of 7.

To learn more about polynomial

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Related Questions

Find x. Please help with this problem!!!!!

Answers

(3x+11)+(5x+1)=180
8x+12=180
8x=168
x=21

The graph of y = Ab^x, where A and b are
constants, passes through (2, 2) and
(5, 16). Find the value of A and of b.

Answers

Answer:

A = 1/2, b = 2

Step-by-step explanation:

Inputting (x, y) into y = Ab^x we know that

point (2, 2):

2 = Ab^2

point (5, 16):

16 = Ab^5

So:

16/2 = Ab^5 / Ab^2

8 = b^3

b = 2

Now inputting point (2, 2) with b = 2

2 = A*2^2

2 = 4A

A = 1/2

The graphs of which of these pairs of linear equations intersect at the point (-3, 2)? Select all that apply.
A 6x - y = 15
-3x + 4y = -18
B. 2x + y = -4
3x + 2y = -5
C. X + 8y = 19
4x - 5y = 2
D. 8x + y = 22
-2x - 5y=4
E5x - y = -17
x + 4y = 5

Answers

Answer:

Options B and E.

Step-by-step explanation:

We want to see for which systems the point (-3, 2) is a solution (a solution of a system means that both equations intersect in that point).

The point (-3, 2) is a solution of the system only if this point belongs to both linear equations in the system.

Then for each system, we need to replace x by -3 and y by 2 in both equations and see if the equality is true or not.

A)

6x - y = 15

-3x + 4y = -18

In the first equation we have:

6*(-3) - (2) = 15

-18 - 2 = 15

-20 = 15

This is false, so we can discard option A.

B)

2x + y = -4

3x + 2y = -5

In the first equation we have:

2*(-3) + 2 = -4

-6 + 2 = -4

-4 = - 4  

This is true, now let's look at the other equation.

3*(-3) + 2*(2) = -5

-9 + 4 = -5

-5 = - 5

This is also true, then the point (-3, 2) is a solution for both equations, then the point (-3, 2) is a solution for the system.

C)

x + 8y = 19

4x - 5y = 2

In the first equation we have:

(-3) + 8*(2) = 19

-3 + 16 = 19

13 = 19

This is false, then we can discard option C.

D)

8x + y = 22

-2x - 5y=4

In the first option we have:

8*(-3) + 2 = 22

-24 + 2 = 22

-22 = 22

This is false, so we can discard option D.

E)

5x - y = -17

x + 4y = 5

In the first option we have:

5*(-3) - (2) = -17

-15 - 2 = -17

-17 = -17

This is true, now let's look at the other equation:

(-3) + 4*(2) = 5

-3 + 8 = 5

5 = 5

This is also true, then the point (-3, 2) is a solution for both equations in the system, which means that the point (-3, 2) is a solution for the system.

Then the correct options are B and E.

Hollis put a layer of boxes in the bottom of a container. Each box has a volume of 1 cubic foot. The base layer of boxes in the container in shown. Hollis will need 8 of these layers to completely fill the container. What is the volume of the container in cubic feet?

Answers

Answer:

288 ft³

Step-by-step explanation:

Given that

The volume of each box is 1 cubic foot

And, Hollies required 8 of these layers

Now based on the above information

We assume that the dimension of the base layer is 6 by 6

So, the volume of the container is

= Length × Width × Height

where,

Length = 6 ft

Width = 6 ft

And, Height = 8 ft

So,

= 6 ft × 6 ft × 8 ft

= 288 ft³

Which pair of angles must be supplementary?
1 and 5
5 and 3
4 and 5
4 and 1

Answers

Answer:

can you post with pictures, because I can't help you without the image of the question

Help me please! I need this done quick!

Answers

Answer:

1. 15

2. 26

3. [tex]\sqrt{58[/tex]

4. 8

5. 6[tex]\sqrt{15[/tex]

6. [tex]\sqrt{2[/tex]

7. [tex]\sqrt{377[/tex]

8. 18

9. x = [tex]\sqrt{106[/tex]

y = [tex]\sqrt{34[/tex]

Step-by-step explanation:

IM TIRED DO I HAVE TO EXPLAIN?

I WILL GIVE BRAINLIEST AND SEND 50 POINTS IF GOOD no copying from internet

What do you know about the angles of a right triangle?

A all angles might be right angles.
B only one angle is a right angle and the other two are acute
C one or more angles must be right angles
D only one angle is a right angle and the other two are obtuse

Answers

Answer:

B

Step-by-step explanation:

Answer:

B only one angle is a right angle and the other two are acute

Step-by-step explanation:

its clear from looking at an angle lol

Please help with #6 and #15. Thank you!

Answers

Answer:

its s and d

Step-by-step explanation:

Please hurry it’s 50 seconds left

Answers

Answer:

[tex]50^{o}[/tex]

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Add 40 degrees to the 90 degrees and that will become 130 and all triangles add up to 180 so subtract 130 from 180 and you'll be left with 50

HELP ME ASAP!!!!!!!!!

See pic attached.

WHOEVER GETS IT RIGHT, PLEASE FRIEND REQUEST ME AND I'LL ACCEPT ALSO PLUS YOU WILL GET BRAINLIEST, THANKS AND A STAR RATING OF EXCELLENT!

Good Luck!

Answers

Answer:

the cheapest cost would be to buy the large pack as there's a 25% discount resulting in tim only having to pay 38.25 rather than 60 for the small pack

Step-by-step explanation:

What is the explicit rule for the arithmetic sequence shown in the graph?

Answers

Answer:

a(n) = 9.5 + 2(n - 1)

Step-by-step explanation:

Observe that each new term is obtained by adding 2 to the previous term.  Thus, the common difference is 2 and the first term is 9.5.

Then a(n) = 9.5 + 2(n - 1)

Which shape has perpendicular diagonals,two pairs of adjacent sides that are congruent,and no parallel sides?

Answers

Answer:

quadrilateral has perpendicular diagonals

Whoever helps me will have a good day and maybe get kissed by your crush

Answers

Answer:

16

Step-by-step explanation:

i totally forgot how to write the equation so i did it the long way and i got with 16 shovels of dirt you get 100 pounds

16 sry i’m i’m wrong btw

Create and solve a 2 step equation with addition and division.
PLEASE HELP THIS IS DUE TODAY!!! .-.

Answers

Answer:

(2+4)÷12

Step-by-step explanation:

jxkgxljcluckyxlhlusgibibsi do u need an explanation but here

Reggie cuts 2 feet from a 9​-foot length of rope. Then he cuts 14 inches from the rope. How many inches of rope are​ left?

Answers

Answer:

He is left with 5 feet and 10 inches.

Graph a line with a slope of -3 that contains the point (4, -2).

(Just tell me where to put the points please)​

Answers

Answer:

(4, -2),  (3, 7),  (5, 1),  (6, -2),  (7, -5)

Step-by-step explanation:

These are a few of the points, so you can just connect them!

Hope this helped! :)

Answer:

Step-by-step explanation:

If you have both the slope and a point on the line, use the point-slope formula y - k = m(x - h), which here is y + 2 = -3(x - 4).

Now you can choose a few x values at random and calculate the associated y values.  Let's try x = -1, x = 3, x = 0:

For x = -1:  y + 2 = -3(-1 - 4), or y = -2 -3(-5) = -2 + 15 = 13.  The point is (-1, 13).

For x = 3, we get y + 2 = -3(-1), or y = -2 + 3 = 1.  The point is (3, 1).

For x = 0, y = -2 - 3(-4), or y = -2 + 12 = 10.  The point is (0, 10).

Plot these three points and draw a line through them.

I need help pls:(((((((((((((((((

Answers

Answer:

108

Step-by-step explanation:

We first must find the total per year of every family.

Remember... there are 12 months in a year

Wilson: 18 × 12 = 216

Kumar: 16 × 12 = 192

Lopez: 27 × 12 = 324

Anders: 14 × 12 = 168

Johnson: 15 × 12 = 180

The Lopez family borrows the most. (324 books)

The Wilson family borrows the second most. (216 books)

324 - 216 = 108

What is the measure of the unstable Angle of the triangle below?
Options:
A- 90
B- 82
C- 98

Answers

The best answer to go with is b

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

x = 2

Step-by-step explanation:

Hope this helps you!

Have a nice day <3

Answer:

Step-by-step explanation:

4x+6+3=17

Add  the numbers :6+3=9

4x+9=17

Subtract 9 from both sides

4x+9-9=17-9

Simplify;

4x=8

Divide both sides by 4

4x/4=8/4

Simplify

x=2

Answered by NONE other than the ONE & ONLY #QUEEN herself aka #$$$DRIPPQUEENMO!!!

HOPE THIS HELPED!!!

in one town there are 240 boys and 260 girls who play sports of these 1/5 plays soccer. how many kids play soccer in all Hi there

Answers

Answer:

100 kids.

Step-by-step explanation:

First you add 240+260=500

Then you take 1/5 of 500 which is 100.

Hope this helps!

An electrical engineer has an annual income of $143,482 and will pay a 6% income tax rate. What is the amount of income tax in dollars and cents that the engineer will have to pay?

Answers

Answer:

$8608.92

Step-by-step explanation:

Given data

Annual income= $143,482

Rate= 6%

We want to find 6% of $143,482

=6/100*143482

=0.06*143482

=$8608.92

Hence the income tax is

$8608.92

3/10 = N/10

Find the missing value to write an equivalent fraction.

Multiply the numerator and denominator by
.

The missing numerator is
.

Answers

Answer:

3 = N

Step-by-step explanation:

Multiply the numerator and denominator by 10:

10(3/10) = 10(N/10) becomes 3 = N

25 POINTS
On a piece of paper, use a protractor and a ruler to construct △ABC with AB=6 cm, m∠A=80°, and m∠B=50°.

What is AC?

Answers

Answer:

6

Step-by-step explanation:

If you try to draw the triangle, it forms an isosceles triangle.

side AB has a length of 6cm. Side AB = Side AC. So the length of Side AC is also 6 cm.

Answer:

6cm

Step-by-step explanation:

Can someone please help me on this ????

Answers

Answer:

x = 5

Step-by-step explanation:

Also in this case we can use the Pythagorean theorem in this way

x^2 + (5√3)^2 = 10^2

x^2 + 75 = 100

x^2 = 25

x = +/- 5

we take only the positive value because a lenght can’t be negative

x = 5

The wood family consumes 20 bags of milk in 4 weeks.How much milk will the family require for 8 weeks?

Answers

Answer:

4

Step-by-step explanation:

If 20 jugs is in 4 weeks, and 8 weeks is 2 times as much as 4. So you would multiply 20x2 because 8 weeks is 2 times as much as 4

Please help me out 5 points the first person

Answers

Answer:

(6,5) is an ordered pair to this question.

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

1st we have to go right to the origin 6

x=6

then up to 5

y=5

According to the question,

coordinate

=(x,y)=(6,5)

Find the value of x.

Answers

Answer:

e

Step-by-step explanation:

Find the area of the shape

Answers

Answer:

1725

Step-by-step explanation:

40 is the number of the slope the height is 30.

How do I show my work for this and get the answer? Thanksss

Answers

Answer:

the answer for this problem is 135

HELP
PLEASEEEEEEEEeeeee

Answers

Answer:

A

Step-by-step explanation:

1/2f

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