50 points and BRAINLIEST

Answer:

f(x) = x⁴ - 13x³ + 39x² + 13x - 40

Step-by-step explanation:

If the zeroes are 8, 5, 1 and -1, then x = 8, x = 5, x = 1, x = -1

⇒ x - 8 = 0

⇒ x - 5 = 0

⇒ x - 1 = 0

⇒ x + 1 = 0

⇒ f(x) = (x - 8)(x - 5)(x - 1)(x + 1)

⇒ f(x) = x⁴ - 13x³ + 39x² + 13x - 40

The radius of the circle of the provided equation, after comparing it with the standard equation of the circle, is 2.

The equation of the circle is the equation which is used to represent the circle in the algebraic equation form with the value of center point in the coordinate plane and measure of radius.

The standard form of the equation of the circle can be given as,

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Here (h,k) is the center of the circle and (r) is the radius of the circle.

The given equation of the circle is,

[tex]x^2+ y^2 +8x-6y +21=0[/tex]

Add number 16 and 9 both sides of the equation to complete the square.

[tex]x^2+ y^2 +8x-6y +21+16+9=16+9\\x^2+8x+16+ y^2 -6y +9=16+9-21\\(x+4)^2+(y-3)^2=4\\(x+4)^2+(y-3)^2=2^2[/tex]

Compare it with the standard equation of the circle, we get,

[tex]h=-4\\k=3\\r=2[/tex]

Hence, the radius of the circle of the provided equation, after comparing it with the standard equation of the circle, is 2.

Learn more about the equation of circle here;

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Answer:

3x+y

Step-by-step explanation:

It's already in simplest form, you can't do anything else to it.

Answer:

c and e

Step-by-step explanation:

Answer:

13 rabbits   15 turtles

Step-by-step explanation:

 T + R = 28

3T +5R = 110

    Multiply the first by -3 to eliminate T

-3T -3R =-84

3T + 5R = 110

    AD BOTH ( T will be cancelled)

 2R = 26

R = 13   (13 rabbits)

     28-13= 15 (15 turtles)

  13x5 = 65

  15x3 = 45

   13x5 =65

                     45+65 = $110

Answer:

All you have to do is add 4 to the equation

This gives you g(x)=4x^2+9 which is your answer

Step-by-step explanation:

Answer:92,817,765

Step-by-step explanation:Arrange the numbers one on top of the other and line up the place values in columns. The number with the most digits is usually placed on top as the multiplicand.

Starting with the ones digit of the bottom number, the multiplier, multiply it by the last digit in the top number

Write the answer below the equals line

If that answer is greater than nine, write the ones place as the answer and carry the tens digit

Proceed right to left. Multiply the ones digit of the bottom number to the next digit to the left in the top number. If you carried a digit, add it to the result and write the answer below the equals line. If you need to carry again, do so.

When you've multiplied the ones digit by every digit in the top number, move to the tens digit in the bottom number.

Multiply as above, but this time write your answers in a new row, shifted one digit place to the left.

When you finish multiplying, draw another answer line below your last row of answer numbers.

Use long addition to add your number columns from right to left, carrying as you normally do for long addition.

Long Multiplication with Decimals

Long multiplication with decimals using the standard algorithm has a few simple additional rules to follow.

Count the total number of decimal places contained in both the multiplicand and the multiplier.

Ignore the decimals and right align the numbers one on top of the other as if they were integers

Multiply the numbers using long multiplication.

Insert a decimal point in the product so it has the same number of decimal places equal to the total from step 1.

Answer:

Step-by-step explanation:

Line up the numbers:

[tex]\begin{matrix}\:\:&6&7&2&9\\ \times \:&\:\:&\:\:&8&3\end{matrix}[/tex]

-------------------------------
[tex]\frac{\begin{matrix}\:\:&\:\:&\:\:&2&\:\:\\ \:\:&6&7&2&\textbf{9}\\ \times \:&\:\:&\:\:&8&\textbf{3}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&7\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&\:\:&\:\:&\textbf{2}&\:\:\\ \:\:&6&7&\textbf{2}&9\\ \times \:&\:\:&\:\:&8&\textbf{3}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&8&7\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&2&\:\:&2&\:\:\\ \:\:&6&\textbf{7}&2&9\\ \times \:&\:\:&\:\:&8&\textbf{3}\end{matrix}}{\begin{matrix}\:\:&\:\:&1&8&7\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&2&\textbf{2}&\:\:&2&\:\:\\ \:\:&\:\:&\textbf{6}&7&2&9\\ \times \:&\:\:&\:\:&\:\:&8&\textbf{3}\end{matrix}}{\begin{matrix}\:\:&\:\:&0&1&8&7\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&\:\:&\:\:&\:\:&7&\:\:\\ \:\:&\:\:&6&7&2&\textbf{9}\\ \:\:&\times \:&\:\:&\:\:&\textbf{8}&3\end{matrix}}{\begin{matrix}\:\:&2&0&1&8&7\\ \:\:&\:\:&\:\:&\:\:&2&\:\:\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&\:\:&\:\:&2&\textbf{7}&\:\:\\ \:\:&\:\:&6&7&\textbf{2}&9\\ \:\:&\times \:&\:\:&\:\:&\textbf{8}&3\end{matrix}}{\begin{matrix}\:\:&2&0&1&8&7\\ \:\:&\:\:&\:\:&3&2&\:\:\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&\:\:&5&\textbf{2}&7&\:\:\\ \:\:&\:\:&6&\textbf{7}&2&9\\ \:\:&\times \:&\:\:&\:\:&\textbf{8}&3\end{matrix}}{\begin{matrix}\:\:&2&0&1&8&7\\ \:\:&\:\:&8&3&2&\:\:\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&5&\textbf{5}&2&7&\:\:\\ \:\:&\:\:&\textbf{6}&7&2&9\\ \times \:&\:\:&\:\:&\:\:&\textbf{8}&3\end{matrix}}{\begin{matrix}\:\:&2&0&1&8&7\\ \:\:&3&8&3&2&\:\:\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&5&5&2&7&\:\:\\ \:\:&\:\:&6&7&2&9\\ \times \:&\:\:&\:\:&\:\:&8&3\end{matrix}}{\begin{matrix}\:\:&2&0&1&8&7\\ 5&3&8&3&2&\:\:\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&\:\:&6&7&2&9\\ \:\:&\times \:&\:\:&\:\:&8&3\end{matrix}}{\begin{matrix}0&2&0&1&8&7\\ 5&3&8&3&2&0\end{matrix}}[/tex]

[tex]=558507[/tex]

Add Decimal Back:

[tex]=55.8507[/tex]

Answer:

she should save it for minimum 9.1 years.

Explanation:

solve:

[tex]\hookrightarrow \sf 12700 =8000 (1+\dfrac{5.25}{100} )^n[/tex]

change sides

[tex]\hookrightarrow \sf \dfrac{12700}{8000} = (1+\dfrac{5.25}{100} )^n[/tex]

take ln on both sides

[tex]\hookrightarrow \sf n\ln \left(1+\dfrac{5.25}{100}\right)=\ln \left(\dfrac{127}{80}\right)[/tex]

simplify

[tex]\hookrightarrow \sf n=\frac{\ln \left(\dfrac{127}{80}\right)}{\ln \left(\dfrac{105.25}{100}\right)}[/tex]

final answer

[tex]\hookrightarrow \sf n=9.03216[/tex]

rounding to nearest tenth

[tex]\hookrightarrow \sf n=9.1[/tex]

Answer:

[tex]\huge\boxed{\frac{48}{100}}[/tex]

Step-by-step explanation:

The same way that you can perform any (most) operation(s) on both sides of an equation, you can do the same to the numerator and denominator of a fraction.  Thus, simply multiply the numerator (4) and the denominator (10) to get 40/100 from 4/10.  Then, because 40/100 and 8/100 have the same denominator, simply add the numerators 40 and 8 to get 48/100.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

B

Step-by-step explanation:

Because of 4/10 having 10 you have to times to it get's to 100 since the denominators isn't the same.

So how many times do you have to times to get to 100=?

10 is the correct answer so since you times 10 ten times now you will have to also times 4 by 10 what is 4 x 10=?

10 x 4=40 so now we can finally add.

40 + 8=48 out of 100 so out answer is 48/100

Do you want to see the answer in different form.

Like these

Decimal form=0.48

Percent form=48%

or written form= forty eight out of one hundred.

hope this helps have an awesome day:)

Answer: 6

Step-by-step explanation:

A'B' = AB, and B'C' = BC. So A = (1/2)(3)(4)=6.

The expression 20x + 10y represents the profit and the maximum profit is N 470, and the greatest number of packets she buys is 50.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

A shopkeeper orders packets of soap powder. The cost price of a large packet is N180 and that of a small packet is N80.

Let's suppose the number of the large packets is x

The number of small packets is y.

The greatest number of packets she buys = 4000/80 = 50

The maximum amount can be spent = N 4000

180x + 80y ≤ 4000

Profit will be:

= 20x + 10y

The arrangements gave maximum profit:

x         y       Cost      Profit

10       27     3960      470

11        25     3980      470  

12       23      4000     470

The maximum profit = N 470

Thus, the expression 20x + 10y represents the profit and the maximum profit is N 470, and the greatest number of packets she buys is 50.

Learn more about the inequality here:

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Answer:

C. √150 and √160

Step-by-step explanation:

12 squared is 144 and 13 squared is 169, so the numbers under the radicals must be between these numbers. The question must mean that the range is exclusive so only C can be correct.

The factors of the equation [tex]\rm z^2 - 10z + 25[/tex] are (z − 5)(z − 5).

Given

Equation; [tex]\rm z^2 - 10z + 25[/tex]

Splitting the middle term Using formula Using Quadratic formula Using algebraic identities

The factors of the equation are;

[tex]\rm z^2 - 10z + 25\\\\z^2-5z-5z+25\\\\z(z-5)-5(z-5)\\\\(z-5)(z-5)[/tex]

Hence, the factors of the equation [tex]\rm z^2 - 10z + 25[/tex] are (z − 5)(z − 5).

To know more about factors click the link given below.

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Answer:

A. (z − 5)(z − 5)

Step-by-step explanation:

Answer:

 3pi is irrational.

Step-by-step explanation:

An irrational number multiplied by a rational number is always irrational.

:)

It can be noted that the decimals that fit into the equation will be 68.05, 68.3, and 68.006.

Your information is incomplete as the original equation isn't given. Therefore, an overview will be given.

Let's assume that the statement is that you should find three decimals where the addition equals 204.086

In this case, you've to look at the decimals and add the three that will give the number above. In this case, the three decimals will be:

68.05 + 68.3 + 68.006

= 204.086

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Answer:

B

Step-by-step explanation:

angle 1=180°-128°=52°

angle2=128°-68°=60° or angle2=180°-68°-angle1=60°

Answer:

Step-by-step explanation:

As the number should be less than 600 , the hundred's place can be 4 or 2

426 ; 462 ; 482 ; 428  ; 486 ; 468

246 ; 264  ; 284 ; 248 ; 268 ; 286

So, 12 numbers can be made

Considering that the logo is composed by a semi-circle, a square and a right triangle, it's area is of 143.47 square inches.

The area of a semi-circle of radius r is given by:

[tex]A = 0.5\pi r^2[/tex]

In this problem, the radius is of r = 7 in, hence it's area in square inches is of:

[tex]A_{sc} = 0.5\pi \times 7^2 = 76.97[/tex]

The area of a square of side l is given by:

[tex]A = l^2[/tex]

In this problem, we have that l = 7 in, hence it's area in square inches is of:

[tex]A_{sq} = 7^2 = 49[/tex]

The area of a right triangle of sides a and b is given by:

[tex]A = \frac{ab}{2}[/tex]

In this problem, we have that a = 5 in, b = 7 in, hence it's area in square inches is of:

[tex]A_{rt} = \frac{5 \times 7}{2} = 17.5[/tex]

It is given by the sum of the areas of each figure, hence:

[tex]A = A_{sc} + A_{sq} + A_{rt} = 76.97 + 49 + 17.5 = 143.47[/tex]

It's area is of 143.47 square inches.

More can be learned about the area of a figure at https://brainly.com/question/11423300

Answer:

i got it right⬇️

Jennifer's January finance charge will be $0.6717 more if it is calculated using the previous balance method.

Previous balance method: Interest charges are based on the amount owed at the beginning of the previous month's billing cycle.

Adjusted balance method: Based on finance charges on the amount(s) owed at the end of the current billing cycle after credits and payments have been posted.

The total amount on which interest will be applied using the previous balance method = 807.94+41.81+75+18.65 = $943.4

So, interest levied on this= 943.4*10.22*(30/360)*(1/100)= $8.0346

Now, the total amount on which interest will be applied using the adjusted balance method = 807.94+41.81+75+18.65-53.88-25 = $864.52

So, interest levied on this = 864.52*10.22*(30/360)*(1/100)= $7.3628

Difference between charges by previous balance method and adjusted balance method = 8.0346-7.3628 = $0.6717

Therefore, Jennifer's January finance charge will be $0.6717 more if it is calculated using the previous balance method.

To get more about the previous balance method and the adjusted balance method please refer to the link,

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Answer:

B. 42.79

Step-by-step explanation:

There's a trick to dividing by 10ths, you just move the decimal point one space to the left.

1/10 of 1234 = 123.4

1/10 of 98.7654 = 9.87654

Hey there!

1/10 of 427.9

= 1/10 * 427.9

= 1/10 * 427.9/1

= 0.10 * 427.9

= 42.79

Therefore, your answer is: 42.79 (Option B.)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

C  

Step-by-step explanation:

the third one .. or whichever looks like this -x 1 2 3 4 5

y 5 25 125 625 3125

Table C represents a linear function. Therefore, the correct option is option C among all the given options.

A straight line just on coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane. This function can be expressed as f(x) = 3x - 2 since y can indeed be replaced with f(x).

We will discover what a linear function is in this article, along with information on its graph, domain, or range. Also, we will learn how to recognize a linear function as well as calculate its inverse. A $50 one-time cost plus $7 per T-shirt are what a t-shirt firm charges to put logos on T-shirts. Table C represents a linear function.

Therefore, the correct option is option C among all the given options.

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Answer:

The expression simplifies into 33-20x

Step-by-step explanation:

1. 9[-4(5x-6)] *Multiply the parentheses by -4

2. 9+24-20x *Combine like-terms

3. 33-20x

Answer:

48 seashells

Step-by-step explanation:

you subtract 74-26 to get 48. to check your answer you do 74-48 to get 26.

Answer:

48 seashells were given to mary

Step-by-step explanation:

Mike has 74 seashells, and he gave some to mary.

__ + 26 = 74

The amount of seashells given to mary is that empty spot

So, let's subtract 74 by 26 and get 48 seashells given to mary

We can double check this answer by adding 48 and 26 to get 74, the original amount of seashells that mike had.

Answer:

Step-by-step explanation:

CE × ED = AE × EB

17 CE = 14 × 18

CE = [tex]\frac{252}{17}[/tex] ≈ 14.8

4)

Answer:

Step-by-step explanation:

We already know 2 angles of each triangle, so we can find the third angle

The third angle of LMN = 180 - 115 - 21 = 54
The third angle of PQR = 180 - 21 - 49 = 110

So, the 3 angles of each triangle are not similar to each other
And there are no information about the sides.


So, I think the safest option is to go with "there's not enough information to determine whether they are similar or not."

But, the 3 sides of LMN by normal vision is longer than PQR, so you can also go with LMN is not similar to PQR.