Mathematics High School

Which operation is NOT closed for polynomials?
A) (x3 + 8x − 5) (x4 + 6x + 2)
B) (x2 + 4x − 5)(8x2 + 3x − 6)
C) (6x2 + 2x − 3) + (x2 − 5x + 4)
D) −(2x2 + 2x − 5) − (x2 + 2x + 9)

Answers

Answer 1
Answer: All of the operations that you have listed will produce a polynomial. Therefore, they are all closed for polynomials. (Did you have a typo?)

When we say an operation is closed for a particular problem, we mean that the resulting answer is of the same type as at the beginning.

In these cases, we are starting with polynomials in each problem. After performing the operations, we still have polynomials. Therefore, they are all closed.

Answer 2

Answer:

A

Step-by-step explanation:

You had a typo with A, and I think that is the answer as well, seeing as you typed all of your other answers correct, and none of them were labeled open by the first answerer, despite the typo.

Related Questions

a building in san francisco is shaped like a square pyramid it has a slant height og 856.1 feet and each side of its base is 145 feel long find the lateral area of the building

Answers

we know that

for a Square Pyramid
[lateral area]=4*[a*s/2]--------> 2aS

where
a  is the length side of the square base
S is the slant height
a=145 ft
S=856.1 ft

[lateral area]=2*145*856.1---------> 248269 ft²

the answer is 248269 ft²

The mean of 10,12,16,20,p,26 is 17.Find the value of p.

Answers

there are 6 numbers total

17 * 6 = 102

10 + 12 + 16 + 20 + 26 = 84

p = 102-84 = 18

p = 18
Answer:  " p = 18 " .
__________________________________________________
Explanation:
__________________________________________________
The [arithmetic] mean =
 
{the sum of all the values in the data set} 
        divided by {the number of values in the number set} ; 
__________________________________________________
  → 17 = (10 + 12 + 16 + 20 + 26 + p) / 6 ;  

__________________________________________________
→ (10 + 12 + 16 + 20 + 26 + p)  = 17 * 6 ;

 →     (p + 84) = 102

Subtract "84" from each side of the equation; 
  to isolate "p" on one side of the equation; & to solve for "p" ; 

→ p + 84 – 84 = 102 – 84 ; 

→ p = 18 . 
_________________________________________________

The answer is:  " p = 18 " .
_________________________________________________

Joes is 10 years older than james. in 8 years joe will be three times older than james. how old are they now

Answers

Joes is 16 and James is 6!!

El lote de la familia lópez tiene un lote de 16m*10m y se desea construir una casa de base rectangular en el centro de el.¿que dimensiones debe tener el rectángulo del piso de la casa si tiene un área de 91m2?

Answers

The dimensions of the house should be 7 m by 13 m.

If the house is to be centered, we will take the same amount from the width as we do from the length of the lot for the dimensions.  This gives us (10-x) and (16-x) as the dimensions.

The area of a rectangle is found by multiplying the length and width:
(10-x)(16-x) = 91

Multiplying the binomials we have:
10*16 - x*10 - x*16 -x*(-x) = 91
160 - 10x - 16x --x² = 91
160-10x-16x+x² =91

Combine like terms:
160-26x+x²=91

Rewrite this in standard form:
x²-26x+160=91

Subtract 91 from both sides:
x²-26x+160-91 = 91-91
x²-26x+69 = 0

Factoring this, we look for factors of 69 that sum to -26.  -23*-3 = 69 and -23+-3 = -26, so:

(x-23)(x-3) = 0

Using the zero product property we know that either x-23=0 or x-3=0, so x=23 or x=3. 

x was the amount we take off of the width and length of the lot; if we took 23m off of it, 10-23 gives us a negative amount, which is not realistic. This means both the width and length are subtracted by 3.

10-3 = 7 and 16-3 = 13.

These are the dimensions of the house.

12pts BRAINLIEST, THX, AND RATE AVAILABLE TO CORRECT ANSWER.

PLEASE HELP ME ON THIS

****RANDOM ANSWERS WILL BE REPORTED****

Answers

just get percentage, multiply by number of years, and add it to the base hope this helps and please give me brainliest

△ABC is similar to △RST . In addition, m∠C=76° and m∠S=3(m∠A) . What is m∠A ? Enter your answer in the box.

Answers

∠A = 26, I took this test

Answer:

∠A = 26°

Explanation:

If two angles of a triangle have measures equal to the measures of two angles of another triangle, then the triangles are similar. In case of similar triangle, corresponding angles are congruent.

Angle ∠C = 76

So, ∠T = 76     because of corresponding angle.

Given that,

m∠S=3(m∠A)

We know that,

∠S ≅ ∠B

That means ∠B = 3 (∠A)

Sum of angles in a triangle  = 180°

∠A + ∠B + ∠C = 180°

∠A + 3∠A + 76° = 180°

4∠A = 180° - 76°

4∠A = 104°

∠A = [tex] \frac{104}{4}  [/tex]

∠A = 26°

Final answer.


Find the lengths of x and y.

Answers

see the attached figure to better understand the problem

we know that

in the triangle ABD
applying the Pythagorean theorem
y²=3³+4²---------> y²=25------------> y=5 units
tan alfa=4/3-----------> equation 1

in the triangle BDC
tan alfa=DC/BD----------> tan alfa=(x-3)/4------------> equation 2

matching equations 1 and 2
4/3=(x-3)/4---------> 4*4=3*(x-3)--------> 16=3x-9---------> 3x=25----> x=25/3 units

the answer is
x=25/3 units
y=5 units

What are the values of a and b in the equation (4x^a)^b = 256/x^8

Answers

b =  4 and a = -2

(4x^-2)^4
= 4^4 x^-8
= 4^4 / x^8
= 256/x^8

Answer:

The value of a is -2 and the value of b is 4.

Step-by-step explanation:

Given expression is,

[tex](4x^a)^b = \frac{256}{x^8}[/tex]

Using [tex](ab)^m=a^m.b^n[/tex] on left side,

[tex]4^b(x)^{ab}=\frac{4^4}{x^8}[/tex]     ( [tex]4^4 = 256[/tex] )

Using [tex]a^m=\frac{1}{a^{-m}}[/tex],

[tex]4^b(x)^{ab}=4^4 (x)^{-8}[/tex]

By comparing both sides,

We get,

b = 4 and ab = -8

⇒ a = -2

Hence, the value of a is -2 and the value of b is 4.

Find the value of z.

Answers

It we’ll be number 3

Im learning Polynomials and we are learning the strategy grouping, can anyone please explain how to group polynomials and maybe give an example :) greatly appreciated

Answers

Grouping is when you have to terms that are the same inside the parenthesis and a different or same number outside the parenthesis and then the one inside the parenthesis u are going to group them not combined them and write them once and the numbers inside the parenthesis group them together by adding them and put parenthesis between them

Ex
5(4x+1)10(4x+1)
(5+10)(4x+1)
Grouping can mean different things in different contexts. In simple cases, polynomials are written in such a way that all you need to do is add parentheses to make groups. Usually we are interested in doing this so we can factor or simlify the result.

Example
  x^2 +2x +3x +6
  (x^2 +2x) +(3x +6) . . . . parentheses added to group pairs of terms
  x(x +2) +3(x +2) . . . . . . common factor pulled from the terms of each group
  (x +3)(x +2) . . . . . . . . . common factor removed to give factored result

1. _____ is exchanging one good for another without using money.
Credit
Barter
Negotiating
Brokering
2. A _____ has to be paid in full on the due date. (1 point)
Charge card
Credit card
Debit card
Check card
3. The _____ is the original amount owed on a loan. (1 point)
Loan due
Interest
Available balance
Principal
4. APR is used to calculate the _____. (1 point)
Loan amount
Interest accrued
Principal
Future earnings,

Answers

Barter is exchanging one good for another without using money. .A Credit card has to be paid in full on the due date. The Principal is the original amount owed on a loan. APR is used to calculate the Interest accrued.

The answers are:

1. Barter

2. charge card

3. principal

4. interest accured

Farmer Fran has some cows and some hens. Between them, they have 52 legs and 38 eyes. How many hens does Farmer Fran have? How many cows does Farmer Fran have?

Answers

Number of cows: c=?
Number of hens: h=?

Total number of legs: 4c+2h=52  (1)
Total number of eyes: 2c+2h=38 (2)

Subtracting equations (1) and (2)
4c+2h-(2c+2h)=52-38
4c+2h-2c-2h=14
2c=14
2c/2=14/2
c=7

Replacing c=7 in equation (2)
2(7)+2h=38
14+2h=38
14+2h-14=38-14
2h=24
2h/2=24/2
h=12

Answers:
Farmer Fran has 12 hens
Farmer Fran has 7 cows

If the intquantity and decprice variables contain the numbers 3 and 15.75, respectively, the condition if intquantity > 0 andalso intquantity < 10 orelse decprice > 20 will evaluate to

Answers

if intquantity > 0 andalso intquantity < 10 orelse decprice > 20 
expression evaluates to
 (3>0 and 15.75<10  or  15.75>20)
which, using priority of operations, "and" has a higher precedence than "or",
=>
( (3>0 and 15.75<10)  or  15.75>20)
=>
( false or false )
=> 
false

what is the sum of
2(5a-4a)+6a

Answers

The first step you would take is to combine all like terms in the parentheses. 
5a - 4a = a
Then you would multiply 2 by a, which would equal 2a.
Finally, combine all like terms (all terms with a), to get 8a. (2a + 6a = 8a)
Hope this helps!

Hey there :)

We need to open the brackets and distribute the 2
However, we can see that both the terms within the parenthesis are like terms

5a - 4a = 1a or a

2(1a) + 6a

2a + 6a  We can combine the like terms
= 8a

3. Divers looking for a sunken ship have defined the search area as a triangle with adjacent sides of length 2.75 miles and 1.32 miles. The angle between the sides of the triangle is 35. To the nearest hundredth, find the search area. 2.08 mi²
2.97 mi²
1.49 mi²
1.04 mi²

Answers

Area = (1/2) x 2.75 x 1.32 x sin(35 deg) = 1.815 x (0.573576) = 1.04 sq. miles.

Answer:

2.08 mi²

Step-by-step explanation:

Since, the area of the triangle is,

[tex]A=s_1\times s_2\times sin \theta[/tex]

Where, [tex]s_1[/tex] and [tex]s_2[/tex] are adjacent sides and [tex]\theta[/tex] is the included angle of these sides,

Here, [tex]s_1[/tex] = 2.75 miles,

[tex]s_2[/tex] = 1.32 miles,

And, [tex]\theta[/tex]  = 35°,

hence, the area of the given triangle is,

[tex]A=2.75\times 1.32\times sin 35^{\circ}[/tex]

[tex]= 3.63\times 0.57357643635[/tex]

[tex]= 2.08208246395\approx 2.08\text{ square miles}[/tex]

helppppppppppppppppppppp

Answers

Answer:
1.796

Explanation:
log base 6 of 25 can be rewritten as:
log base 6 of (5^2) = 2 * log base 6 of 5 
                               = 2 *0.8982
                               = 1.7965

Hope this helps :)

You buy 3 grapefruits for $1.50, a pound of apples for $.79, some grapes for $2.50, and some bananas for $1.21. Find the total cost of the fruit.

Answers

In all, the cost would be $6
6 dollars is the answer because 1.5 + .79+ 2.5+ 1.21= 6 in total.

Happy studying!

What is the term for a Wage and Tax statement and what is it’s purpose?

Answers

Most commonly referred to as a W-2. This form shows the amount of an individual's earnings and deductions.

Maria plans to fill pots in her garden with soil and plant food. Maria has 8 1/2 quarts of soil as 1 1/2 quarts of plant food. Each pot requires 3/4 quart of soil. For how many pots does Maria have enough soil?

Answers

1. You have the following information:

 - Maria has 8 1/2 quarts of soil.
 - Each pot requires 3/4 quart of soil.

 2. Keeping this on mind, you can convert the mixed number 8 1/2 and the fracion 3/4 to decimals, as below: 

 8 1/2=8.5 quarts
 3/4=0.75 quarts

 3. Therefore, you have:

 1 pot-----0.75 quarts
       x-----8.5 quarts

 x=(8.5x1)/0.75
 x=11 pots

 For how many pots does Maria have enough soil?

 The answer is: 11 pots
 
 
 

please help.
solve the inequality |6 - v| < 9

write the inequality as two inequalities with the absolute value and give a solution set.

Answers

-9 < 6 -v < 9 . . . . two inequalities
-15 < -v < 3 . . . . . subtract 6
-3 < v < 15 . . . . . . multiply by -1

Sara is 8 years old and her mom is 34 years old. In how many years will Sara be twice as young as her mom will be?

If x is the number of years, then the equation is ______
The answer is _____

Answers

Sara = 8 years old
Mom = 34 years old

Let the number of years be x when Sara will be twice as young as her mom will be.
2(8 + x) = 34 + x
16 + 2x = 34 + x
2x - x = 34 - 16
x = 18

Answer:
If x is the number of years, then the equation is 2(8 + x) = 34 + x
The answer is 18 

Find the equation for the line that passes through the point (−1,2), and that is parallel to the line with the equation 3/2x−2y=2.

Answers

You can start with
.. (3/2)(x +1) -2(y -2) = 0 . . . . . the given line translated to the point (-1, 2)
.. 3(x +1) -4(y -2) = 0 . . . . . . . . multiply by 2
.. 3x +3 -4y +8 = 0 . . . . . . . . . eliminate parentheses
.. 3x -4y = -11 . . . . . . . . . . . . . . put in standard form (not necessary, but prettier)

How many solutions does the system have?

{y = −2x + 2
y = x^2 − 3x



Enter your answer in the box.

________

Answers

Answer:

The system has two solution

Step-by-step explanation:

we have

[tex]y=-2x+2[/tex] ----> equation A

[tex]y=x^{2}-3x[/tex] ----> equation B

Solve the system of equations by graphing

Remember that

The solution of the system of equations is the intersection point both graphs

There are two point of intersection between the two graphs

see the attached figure

therefore

The system has two solution

30 POINTS + BRAINLIEST! SHOW YOUR WORK FOR BRAINLIEST PLEASE!

Answers

A four sided figure that figs inside a circle is called a cyclic quadrilateral. One of the properties of such a figure is that the opposite angles add up to 180o

2x + 3 + 4x + 3 = 180o
6x + 6 = 180
6x = 174
x = 174 / 6
x = 29

C = 2x + 1
C = 2*29 + 1
C = 59o

2x+3+4x+3= 180o     6x+6=180    6x=174    174/6   29

2x+1    (2)29+1     59o

Step-by-step explanation:

Which statements correctly use the properties of exponents to simplify? Check all that apply.

(xy2)2 = x2y4
x3x3 = x6
3y–2 =
2(x2)3 = 8x6
–x2(–x3) = –x6

Answers

the first one, second, and third

Answer:

1 2 and 3

Step-by-step explanation:

A tessellation is a (blank) patterns of figures?
reflecting
repeating
symmetrical,

Answers

the answer is symmetrical

ASAP Plz what is the value of x? Plz no joking around this is from quiz 4.09: Special Right Triangles 2

Answers

Ooh this is a good one!
Firstly, let's find RT so that we can solve the top triangle.
We could actually use 3 methods to find this side: 1) trig to find RT
2) trig to find ST, then Pythagorean Theorem to determine RT
3) use the special 30-60-90 right triangle rule ... hmm, I'm going with the last because it's easiest ;)

For 30-60-90 triangles, the sides are always as follows: smallest side (opposite the 30) is s, the middle side is sSR3, and the hypotenuse is 2×s
Thus, since we have the side opposite 60, it is = sSR3, so:
[tex]s \sqrt{3} = 2 \sqrt{3} \\ s \sqrt{3} \div \sqrt{3} = 2 \sqrt{3} \div \sqrt{3} \\ s = 2[/tex]
So now, the hypotenuse (RT) = 2s = 2(2) = 4

Secondly, we are looking at the other type of special right triangle, the 45-45-90:
The side opposite the 45s are s (remember side lengths are equal whose opposite angles are equal); and the hypotenuse is always
[tex]s \sqrt{2} [/tex]
we only need QR, which is s, which is also = RT
So the answer is:
QR = x = 4

x = 4 IS THE FINAL ANSWER!!!


[ i hope by my explanations you understand how better to do special right triangles in the future] :-D

Answer: The correct answer is 4

Step-by-step explanation:

Here is proof from the quiz

2. Which is equal to log6?

log26

log62

log610

log106,

Answers

The Value of Log(6) = 0.77815125 the values given in different forms of Log are independent from each other and thus do not match any of the other listed values.

someone please help :(

Answers

The answer would be answer choice a.

Because 5/4 = 1.25
tan (51) = 1.235
tan (45) = 1
tan (60) = 1.732
tan (57) = 1.5399

The closest to 1.25 is tan (51)

Hope this helps :)

find the perimeter of the quadrilateral. if x = 2 the perimeter is ___ inched.

Answers

7(2) + 30 = 14+30 = 44
3(2^2) -5(2)+20 = 12 - 10 + 20 = 22
4(2^2) +8(2) = 16 + 16 = 32

P = 31 + 44 + 22 + 32 = 129

answer
129 inches

Answer:

Perimeter is 129 inches.

Step-by-step explanation:

We are given,

A quadrilateral with sides lengths [tex](4x^2+8x),(3x^2-5x+20),(7x+30),31[/tex] inches.

Now, the values of the side lengths when x = 2 are,

[tex](4x^2+8x)=(4\times 2^2+8\times 2)=(4\times 4+16)=16+16=32\ inch\\\\(3x^2-5x+20)=(3\times 2^2-5\times 2+20)=(3\times 4-10+20)=12+10=22\ inch\\\\(7x+30)=(7\times 2+30)=14+30=44\ inch[/tex]

Since, Perimeter of a quadrilateral = Sum of its sides.

Then, Perimeter of given quadrilateral = 32 + 22 + 44 + 31 = 129 inches.

Hence, the perimeter is 129 inches.
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