Find the sum of these polynomials.
(4x2 + 3x - 1) + (x2 - 5x - 6) =

Answer:

The nth term is: [tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]

a40 = 10

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The nth term of a sequence is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference.

1/4,1/2

This means that:

[tex]d = \frac{1}{2} - \frac{1}{4} = \frac{2}{4} - \frac{1}{4} = \frac{1}{4}[/tex]

1/4

This means that [tex]a_1 = \frac{1}{4}[/tex]

The nth term is:

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]

Then find a40.

[tex]a_{40} = \frac{1}{4} + \frac{1}{4}(40-1) = \frac{1}{4} + \frac{39}{4} = \frac{40}{4} = 10[/tex]

So

a40 = 10

Answer:

Excuse Me, I believe you forgot to put your picture in your question! I would highly recommend reposting your question for the desired answer(s) that your looking for!

Have a GREAT day!

Yours Truely, TheAnimeCatUwU

Answer:

https://brainly.com/question/22920148?answering=true&answeringSource=feedPublic%2FhomePage%2F1

Step-by-step explanation:

Here, we have to factorise :

Consider the largest number which is the factor of both -12 and -20, that is -4.

→ -4 × 3n = -12n

→ -4 × 5 = -20

Taking (-4) as common,

→ -4( 3n + 5 )

Answer:

46

Step-by-step explanation:

Answer:

It will take 2 and a half hours

Step-by-step explanation:

Well 40 can go into 200 5 times so you would do 5 times 30 minutes which would be 150 minutes and then you would divide it by 60 to simplify which would be 2 hours and 30 minutes. So it will take 2 and a half hours to make 200 harmonicas.

200/40 = 5

5 * 30 = 150

150/60 = 2 hours and 30 minutes

Answer:

6.7 minutes

Step-by-step explanation:

From what we know, we will have to divide. The things we are dividing are the 30 minutes it took to make the 40 plastic harmonicas and the total we need of harmonicas, which is 200. By dividing 200 by 30, we get 6.666666666666667. But, we can't have that long answer, so we need to round up. Which is when we get our quotient of 6.7 minutes. If I'm wrong, please, don't be afraid to correct me. And have a good day stranger!

Edit: This answer is wrong. I was corrected and now I know what the answer is. Please do avoid this answer. But have a good day to anyone sees this!

Answer:

1.875 commercials a minute

Step-by-step explanation:

Answer:

not sure about second, but one is the 30, 60, 90 angle triangle. That one i'm 100 percent sure of (30, 60, 90).

Step-by-step explanation:

Answer:78

Step-by-step explanation:

1300x0.06=78

The commission by the salesman on the jewelry is $78.

A sales commission is a sum of money paid to an employee upon completion of a task, usually selling a certain amount of goods or services.

Given that, a salesperson at a jewelry store earns a 6% commission. The worth of the jewelry is $1300

The commission on the jewelry =

6% of $1300

= 1300 × 6 / 100

= 13 × 6

= 78

Hence, he earned $78 as commission.

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Answer:

The answer is c

Step-by-step explanation:

Answer:

24 sq cm

Step-by-step explanation:

the big square is 20 and the small one is 4

Answer:

19.64 ft

Step-by-step explanation:

7/25 = 5.5/x

7x = 137.5

x = 19.64

9514 1404 393

Answer:

  (x < -7) ∪ (x > 9)

Step-by-step explanation:

The zeros of the function are the values of x that make the factors zero.

  x +7 = 0   ⇒   x = -7

  x -9 = 0   ⇒   x = 9

When this is expanded, we can see that the leading coefficient is positive.

  x² -2x -63 > 0

This means the parabola opens upward. It will be greater than 0 for x-values to the left of the left zero, and to the right of the right zero. (It is less than zero between those values.)

The solution is x < -7 or x > 9.

_____

In general, for polynomial inequalities, look for the locations of the zeros. The sign of the polynomial will have the sign of the leading coefficient for values of x to the right of the right-most zero. (Here, positive for x > 9.) As you progress farther to the left along the number line, the polynomial changes sign at each zero.

Here, the polynomial becomes negative between the values x=9 and x=-7. Then it is positive again for x < -7.

Answer:

Well, the number 595 is exceptionally larger. You would be able to tell by simply subtracting 595 and 5 and you would get 590 leaving you with answer. 595 is greater

Step-by-step explanation:

Answer:

triangle and rectangle??

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

She makes 192.6$$

Step-by-step explanation:

Answer:

The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function.

Step-by-step explanation:

Answer:

The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function.

Step-by-step explanation:

Answer:

y=-7x+58

Step-by-step explanation:

Answer:

$5150

Step-by-step explanation:

1700+0.15(23000)

$5150

Answer:

That would be 9 my good sir ( or ma'am )

Step-by-step explanation:

basicly round the 61 so that there would not be a remainder and divide 54 by 6 you will get 9, so therefore the same case is for 540 by 60.

Have a nice day

Answer:

-7, -13, -19

Step-by-step explanation:

plug in 1,2, and 3 into the part of the equation "n".

Answer:

a1 = -7

a2 = - 13

a3 = - 19

Step-by-step explanation:

n = 1

a1 = 2*(-3)*1`- 1

a1 = -6 - 1

a1 = - 7

n=2

a2 = 2(-3)*2 - 1

a2 = -12 -1

a2 = - 13

n3 = 2(-3)*3 - 1

n3 = -18 - 1

n3 = -19

Each term is - 6 away from the previous one.

Answer:

if shes losing 2/3 each hour, the her profit would be 41.

Step-by-step explanation:

2/3 x 6 is 4, 45 - 4 is 41.

Answer:

if it will help

y^7

Step-by-step explanation:

y^4+3 = y^7

Answer:

H0 : μ = 120

H1 : μ < 120

We Can conclude that the number of infants that contract typhoid has reduced because the wells were put in place.

Step-by-step explanation:

Average Number of infants who contracted typhoid monthly = 120

Average Number of infants who contracted typhoid monthly after well installation = 90

The null and alternative hypothesis :

H0 : μ = 120

H1 : μ < 120

Obtain the test statistic :

(Xbar - μ) ÷ s/sqrt(n)

(90 - 120) ÷ 40/sqrt(9)

-30 ÷ 13.3333

= - 2.25

The Pvalue at 95% confidence, df = n-1 = 9 - 1 = 8

Tcritical at 95%, df = 8 ; one tailed = 0.02728

Decision region :

Pvalue < α ; Reject H0

0.02728 < 0.05 ; Hence, we conclude that there is significant evidence that the average number of infants that contract typhoid has decreased because the wells were put in place.

The positive angle is less than 360 which is coterminal with -725 degrees is  85 degrees.

Coterminal angles are those with the same beginning side and the same terminal sides. These angles are in the typical position, although their values differ. They have the same sides, are in the same quadrant, and their vertices are identical. The endpoint sides coincide at the same angle when the angles are rotated clockwise or anticlockwise.

An angle that is coterminal with -725 degrees is an angle that has the same initial and terminal sides as -725 degrees, but its measure is between 0 and 360 degrees.

To determine a positive angle less than 360 that is coterminal with -725 degrees, we can add or subtract multiples of 360 from -725 degrees until we get an angle within that range.

In this case, -725 degrees - (2 x 360) = -725-720= -1445.

So, the positive angle less than 360 that is coterminal with -725 degrees is -1445 degrees + 360 = 85 degrees.

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Answer:

Step-by-step explanation:

A