A polynomial is given below.
3x6 + 2x4 – x3 + 7
Which statement must be true about this polynomial?

Answers

Answer 1

Answer:

Step-by-step explanation:

Well since the polynomial is of not an even or odd sequence like the polynomial in the question is

[tex]3x^6+2x^4-x^3+7\\[/tex]

like the degree 6 is even the degree 4 is even but the degree 3 is odd so since the sequence breaks the polynomial above has no real x-intercepts meaning it has complex roots.


Related Questions

Write a linear function f with the values f(0) = 1 and f(-2)=-3,
Oy=-2x-3
O y = x + 2
O y = 2x + 1
O y=-3x + 1

Answers

y=2x +1

For f(0)=1 replace x by 0 and for f(-2)=3 replace x by -2

if (x + p) is a factor of both x^2 + 16x + 64 and 4x^2 + 37x + k, where p and k are nonzero integer constraints, what could be the value of k?

Answers

Step-by-step explanation:

x² + 16x + 64 = (x + 8)². Hence p = 8.

Since (x + 8) is a factor of 4x² + 37x + k,

4(-8)² + 37(-8) + k = 0. (by Factor Theorem)

=> 256 - 296 + k = 0

=> k - 40 = 0

=> k = 40.

The value of k is 40.

A 5 lb. package of chicken costs $6.00. What is the cost per pound?

Answers

Answer:

$1.2

Step-by-step explanation:

Cost per pound = 6/5 = $1.2

Answer:

1.20 a pound

Step-by-step explanation:

For the class field trip, the fourth grades at Jefferson Elementary School need to take buses. Each bus fits 55 students and there are 200 students in fourth grade. How many buses will they need?
3 buses
3 R20 buses
4 buses
None of these is correct.

Answers

you would need 4 buses to bring all the students because you would still have some students left to ride the bus if you only get 3 buses

They will need 4 buses.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

For the class field trip,

the fourth grades at Jefferson Elementary School need to take buses.

Each bus fits 55 students,

and there are 200 students in fourth grade.

The number of buses,

= 200/55

= 3.63

≈ 4.

Therefore, the need is for 4 buses.

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Multiply (6.5 x 10)(1 x 10). Express the result in scientific notation.

Answers

Answer:

ans=6.5×10²

Step-by-step explanation:

ans =650=6.5×10²

Benson is building cabinets he can build 1 1/2 cabinets in 3/4 hour how many cabinets can he build in one hour

Answers

Answer:

2

Step-by-step explanation:

[tex]\frac{3x}{4}[/tex] = [tex]\frac{3}{2}[/tex]

cross-multiply: 6x = 12

x = 2

Answer:

2 cabinets

Step-by-step explanation:

In 3/4 hour he builds 1 1/2 cabinets.

1/4 hours is 1/3 of 3/4 hour.

In 1/4 hour he builds 1/3 of 1 1/2 cabinets which is half a cabinet.

In 1 hour he builds 4 times what he builds in 1/4 hour, 4 * 1/2 cabinet = 2 cabinets.

Answer: 2 cabinets

3. The Round Rock Express has a pitcher with an impressive winning record. Opposing teams are attempting to analyze his pitches. The pitcher throws a strike 35of the time. If the pitcher throws a strike the next pitch is a fastbal 40% of the time. If the pitcher doesn't throw a strike the next pitch is a fastball 80% of the time.

Answers

Answer:

0.66

Step-by-step explanation:

Given:

Let P(Throwing strike) = 0.35

So,

P(S') = 1 - 0.35 = 0.65

P(A / B) = P(A and B) / P(B)

P(Throwing fastball and thrown strike) = P(F / S) = 40% = 0.4

P(Throwing fastball  not thrown  strike) = P(F / S') = 80%

P(Throwing fastball  not thrown  strike) =0.8

So,

P(F and S) = 0.8 x 0.65

P(F and S) = 0.52

P(F) = [P(F / S) x P(S)] + [P(F / S') x P(S')]

= (0.4 x 0.35) + (0.8  x 0.65)

= 0.14 + 0.52

= 0.66

what is equivalent to 6x-3y=12

Answers

Answer: x= 1/2y+2

Step-by-step explanation:

I need the answer ASAP

Answers

Answer:

the are is 14

brainliest??

Step-by-step explanation:

Answer:

48ft

Step-by-step explanation:

Hope this helps. :)

what is the result of 54×18 written in standard form

Answers

Answer:

9.72 x 10^2

Step-by-step explanation:

Can you help me understand?

Answers

Answer:

-3,10

Step-by-step explanation:

Is this true or false ??

Answers

I believe the answer is true

a race car driver completes 30 laps in 15 minutes at a constant speed.


What's is the driver's speed?​

Answers

Answer:

2 laps per second.

Step-by-step explanation:

30 divided by 15 equals 2. If you wanted to convert the speed into a more conventional unit you would multiply 2 by the length of a lap.

Find the value of this expression if x = 5 and
y = 2.
xy^2/-3

Answers

Answer:

The value of this expression is:

[tex]\frac{xy^2}{-3}=-\frac{20}{3}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{xy^2}{-3}[/tex]

Apply the fraction rule: a/-b = -a/b

[tex]\frac{xy^2}{-3}=-\frac{xy^2}{3}[/tex]

substituting x = 5, y = 2 in the expression

      [tex]=-\frac{\left(5\right)\left(2\right)^2}{3}[/tex]

       [tex]=-\frac{\left(5\right)\left(4\right)}{3}\:[/tex]

       [tex]=-\frac{20}{3}[/tex]

Therefore, the value of this expression is:

[tex]\frac{xy^2}{-3}=-\frac{20}{3}[/tex]

Amine passes through the points (710) and (7, 20). Which statement is true about the line?
It has a slope of zero because it in the formula -
is zero, and the numerator of a fraction cannot
It has a slope of zero because in the formula -
is zero, and the denominator of a fraction
cannot be zero
It has no slope because yn dy in the formula
is zero, and the numerator of a fraction cannot be
it has no slope because ty - to in the formula m-
is zero, and the denominator of a fraction cannot be
zero

Answers

Answer: Choice D)

No slope, the term x2-x1 is zero and we cannot have zero in the denominator.

=========================================

Explanation:

The two points both have x coordinates x = 7. Since both x coordinates are the same, they subtract to 0. Recall that something like 1/0 is undefined, so we cannot have 0 in the denominator.

The line through (7,10) and (7,20) is a vertical line. All vertical lines have undefined slopes.

Question 1 (5 points)
Saved
(01.01 LC)

Which of the following is a rational number? (5 points)

square root of 2, square root of 3, square root of 4, and square root of 5
Question 1 options:

1)

square root of 2

2)

square root of 3

3)

square root of 4

4)

square root of 5

Answers

Answer:

Square root of 4 is ans

Step-by-step explanation:

Answer:

4) square root of 4

Step-by-step explanation:

Simplify 8 - (14) please help

Answers

Answer:

The answer is - 6 hope this helped

4. Which of the following represents a function?
(8,3), (8,3), (-8, -3), (-8, -3)
0 (-5, 6), (-5, 6), (-5, -6), (-5, -6)
O (3,9), (-7, 1), (6, 12), (-3, -9)
O (5, 1), (5,2), (5, 3), (5, 4)

Answers

The 3 option
(3,9), (-7,1), (6,12), (-3, -9)

what is 696 39/100 into a decimal

Answers

Answer:

696.39

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer: 696 39/100 into a decimal is 696.39

How many fifths in 3/4?

Answers

4 cups [US] = 1.063 (1 1/8) fifths

Answer:

19

Step-by-step explanation:

Angel Sanchez has 10 books on a shelf; 5 mysteries, 4 science fiction books, and 1 biography. Determine the probability of each situation below.
a) Selecting one biography and then one mystery, with replacement
b) Selecting one biography and then one mystery, without replacement
a) The probability of selecting one biography and then one mystery, with replacement, is 17
(Type an integer or a simplified fraction)

Answers

Answer:

a)  1/10 x 5/10 = 1/20

b) 1/10 x 5/9 = 1/18

Step-by-step explanation:

a) Probability of selecting one biography and then one mystery, with replacement: 1/20

b) Probability of selecting one biography and then one mystery, without replacement: approximately 0.0556 or 5.56%.

The probability of each situation can be calculated as follows:

a) Selecting one biography and then one mystery, with replacement:

With replacement means that after each selection, the book is put back on the shelf before the next selection.

The probability of selecting the biography first is 1 out of 10 books (since there is 1 biography out of 10 books).

The probability of selecting the mystery book next is 5 out of 10 books (since there are 5 mysteries out of 10 books).

The overall probability is the product of the individual probabilities:

Probability = (1/10) * (5/10) = 1/20

So, the probability of selecting one biography and then one mystery, with replacement, is 1/20.

b) Selecting one biography and then one mystery, without replacement:

Without replacement means that after each selection, the book is not put back on the shelf before the next selection.

The probability of selecting the biography first is still 1 out of 10 books.

However, after selecting the biography, there are now 9 books left on the shelf, and the probability of selecting a mystery is 5 out of 9 books (since there are 5 mysteries out of the remaining 9 books).

The overall probability is the product of the individual probabilities:

Probability = (1/10) * (5/9) ≈ 0.0556 or 5.56%

So, the probability of selecting one biography and then one mystery, without replacement, is approximately 0.0556 or 5.56%.

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Lin is shopping for a couch with her dad and hears him ask the salesperson, “How much is your commission?” The salesperson says that her commission is 5 12% of the selling price.



a. How much commission will the salesperson earn by selling a couch for $495? Round to the nearest cent.

Answers

Assuming you meant the commission is 12%, the salesperson will make $59.40 from selling the couch. If you take 495 multiplied by the percentage which in this case is 12 then divide that by 100, you get 59.40 you can also simply input 495 multiplied by 12 and then the % symbol and get the same answer.

Evaluate: 12y+9d if y = 5 and d = 7

Answers

Answer:

123

Step-by-step explanation:

Substitute values of y and d into equation.

12y+9d = 12(5) + 9(7)

Evaluate.

12(5) + 9(7) = 60 + 63

Simplify.

60 + 63 = 123

Answer:

123

Step-by-step explanation:

12y + 9d

12(5) + 9(7)

60 + 63

123

Dad gave his son 60 euros to buy wallpaper. In the store, it turned out that the price for one roll wallpaper increased by 3 euros, and because of this, the son was able to buy 1 roll of wallpaper less than he needed. How many rolls of wallpaper could he buy and how much did one roll cost? Did he do the right thing to buy the wallpaper?​

Answers

Answer:

$92.296

Step-by-step explanation:

no, he did not make the right decision that's $19.096 over the budget.

Please help me
Find the value of x.​

Answers

Answer:

d: x = -8

Step-by-step explanation:

40 + 65 + x + 83 = 180  (sum of internal angles of a triangle)

x = 180 - 40 - 65 - 83

x = -8

A bag contains 4 red marbles, 3 blue marbles and 7 green marbles. If three marbles
are drawn out of the bag, what is the probability, to the nearest 1oth of a percent, thai
all three marbles drawn will be green?

Answers

Answer:

20%

Step-by-step explanation:

4+3+7=14

14÷7=2

2×10=20

If I am wrong please tell me I haven't had to do this me method in 3 years

The cost of painting a wall that is 5 meters wide and 2 1/2 meters tall is $50. How many square meters can be painted for $1?

please answer asap

Answers

Answer: If the a and b of your formula mean how many hours it takes each

person, like a = 2 and b = 1, then the formula gives 3/2 or 1 hour and

30 minutes.  This is not reasonable, since one of the painters alone

could do it in 1 hour.  

Actually, your formula is UPSIDE DOWN. It should be (a*b)/(a+b).

Here's why.  

Let h be the number of hours it takes for the two of them to do it

together. The first person could do it all in a hours, but can paint

only a fraction of the wall working h hours. Assuming a constant rate

of painting, that fraction is h/a. That is, the first painter will

paint h/a of the wall in h hours.  

Similarly, the second painter will paint h/b of the wall in that time.

So, when will they be done? When the whole wall is painted, which

happens whenever those 2 fractions add up to 1.  

You need to solve the following equation:

 (h/a) + (h/b) = 1  

     h*b + h*a = a*b           Multiplying through by a*b

       h*(b+a) = a*b           Factoring out h

             h = (a*b)/(a+b)   Dividing both sides by b+a

Okay, now say 3 painters could do it in a hours, b hours or c hours,

respectively. Let h be the number of hours they all must work to get

it all painted. The first painter finishes h/a of the wall in that

amount of time. The other 2 painters manage to paint h/b of the wall

and h/c of the wall in that time.  Since h is the time to finish the

job, all 3 of these fractions must add up to the whole wall, or 1.  

So you have the equation:

   

       h     h     h        

      --- + --- + ---  =  1

       a     b     c    

 

Solve this for h (start by multiplying through by a*b*c) and you will

get the generalized formula for 3 painters. It's not the formula you

wrote above but I think you can finish it off.

 

(I hope this helps. I'm sorry if it's wrong)

Determine the parent function
Y=x3. Y=^x. Y=1/x

Answers

Answer:

First one is B

Second one is A

next time dont shoot your computer

Step-by-step explanation:

The parent function of the graph is y = √x

How to determine the parent function?

The given graph is a graph of a square root function, that is translated upward by 3 units and right by 1 unit

This means that the equation of the graph is:

y = 3 + √(x - 1)

Remove the translated points

y = √x

Hence, the parent function of the graph is y = √x

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the letters of the word independent are written on individual card and the cards are put into a box a card is selected and then replaced and then a second card is selected find the probality of obtaining​ the letter p twice

Answers

Answer:

The probability of obtaining the letter p twice is 1/121

Step-by-step explanation:

Probability of Recurring Events

There are 11 letters in the word 'independent', one of which is the letter 'p'.

When those letters are written on individual cards and they are put into a box, there are 11 different choices to pick at random.

This means the individual probability of getting a 'p' is:

[tex]\displaystyle P_1=\frac{1}{11}[/tex]

The card is reinserted into the box, leaving the sample space unaltered, thus the second card has the same probability:

[tex]\displaystyle P_2=\frac{1}{11}[/tex]

We'll use the multiplication rule. Just multiply the probability of the first event by the second.

[tex]\displaystyle P=P_1*P_2=\frac{1}{11}*\frac{1}{11}[/tex]

[tex]\displaystyle P=\frac{1}{121}[/tex]

The probability of obtaining the letter p twice is 1/121

please show work i would appreciate it ​

Answers

Answer:

a) x = 14

b) The perimeter of △QRS is 77 units.

Step-by-step explanation:

a) Due to the question asking for a solution using the Triangle Proportionality Theorem, it is assumed that △RQS is similar to the smaller triangle inside it.

Let us define the point at which the line inside △RQS meets line RQ as T, and the point at which that same line meets line RS as V.

Hence, △RTV ~ △RQS.

According to the Triangle Proportionality Theorem:

[tex]\frac{RT}{RQ} = \frac{TV}{QS} = \frac{VR}{SR}[/tex]

Hence, we can substitute all values that we know from the diagram:

[tex]\frac{2x - 2}{2x - 2 + 13} = \frac{TV}{17} = \frac{21 - 7}{21}[/tex]

After getting this information, all we have to do is simplify and solve the equation:

[tex]\frac{2x - 2}{2x - 2 + 13} = \frac{21 - 7}{21}[/tex]

[tex]\frac{2x - 2}{2x + 11} = \frac{14}{21}[/tex]

[tex]\frac{2x - 2}{2x + 11} = \frac{2}{3}[/tex]

[tex]3(2x - 2) = 2(2x + 11)[/tex]

[tex]6x - 6 = 4x + 22[/tex]

[tex]6x - 4x = 22 + 6[/tex]

[tex]2x = 28[/tex]

[tex]x = 14[/tex]

To verify this answer, we can plug in the value of x into the equation:

[tex]\frac{2(14) - 2}{2(14) - 2 + 13} = \frac{2}{3}[/tex]

[tex]\frac{26}{39} = \frac{2}{3}[/tex]

[tex]\frac{2}{3} = \frac{2}{3}[/tex]

Hence, after verification, we can get the answer: x = 14.

--------------------------------------------------------------------------------------------------------------

b) To find the perimeter of △QRS, all we have to do is to add all the lengths of the sides of △QRS together.

Hence, 2(14) - 2 + 13 + 17 + 21

= 28 - 2 + 13 + 17 + 21

= 77 units

Therefore, the perimeter of △QRS is 77 units.

Hope this helped!

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