Pascha is factoring the polynomial, which has four terms.
3x^3 – 15x^2 + 8x - 40
3x^2(x - 5) + 8(x - 5)
Which is the completely factored form of her polynomial?
O (3x^2 – 5) (X + 8)
O (3x^2 – 8) (x + 5)
O (3x^2 + 8) (x - 5)
O (3x^2 + 5) (x – 8)

Answers

Answer 1

Answer:

its (3x²+8)(x-5)

Step-by-step explanation:

3x² * x = 3x³.

3x² * -5 = -15x².

8 * x = 8x.

8 * -5 = -40.

Answer 2

The completely factored form of her polynomial is (3x² + 8)(x - 5).

What is the factoring of a polynomial?

"Factorization of polynomials expresses a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain."

Given polynomial is:

3x³ – 15x² + 8x - 40

= 3x²(x - 5) + 8(x - 5)

= (3x² + 8)(x - 5)

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Related Questions

a number y plus 2.4 is less than or equal to 35. Write the sentence as an inequality.

Answers

Answer:

y + 2.4 ≤ 35

Step-by-step explanation:

Less than or equal to sign is ≤

The sentence can be represented by the inequality:

y + 2.4 ≤ 35

Subtract 2.4 from both sides

y + 2.4 - 2.4 ≤ 35 -2.4

y ≤ 35 - 2.4

y ≤ 32.6

Therefore, y is less than or equal to 32.6

can i please get some help

Answers

Answer: number 5 is A number 6 is B

Step-by-step explanation:

Find the measures of the exterior angles of the polygon.

Answers

Step-by-step explanation:

180 - 34 = 146

one angle is a right angle, angle across it is 146, 360 - 90 - 146 = 124

divide that by two to get the measures of the remaining two angles (62 degrees)

180 - 62 = x

118 = x

:

/ = .

-- :

, . , - , ,

Does any one know the answer?

Answers

Answer:

D is the answer (31.05)

Step-by-step explanation:

2.07×15 is 31.05

The graph models the projected populations, in thousands, of two towns after x years. Both towns experience a 1.9% annual growth rate.

Answers

whats the question

?

Can someone explain how to get the right answer thx

Answers

Answer:

x = 20

Step-by-step explanation:

These two angles are equal:

5x + 7 = 6x - 13

    Subtract 5x from both sides.

7 = x - 13

     Add 13 to both sides.

20 = x

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer as 'Brainliest.' It would help a lot. Have a wonderful day.

Find the slope of the line passing through the points (-5, 7) and (-7, 1).

Answers

Answer:

[tex]m=3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-5, 7)

Point (-7, 1)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{1-7}{-7+5}[/tex]Subtract/Add:               [tex]m=\frac{-6}{-2}[/tex]Divide:                           [tex]m=3[/tex]

And we have our final answer!

A student has some $1 and $5 bills in his wallet. he has a total of 15 bills that are worth $51. How much of each type of bill does he have?

Answers

Answer:

# of 5 dollar bills: 9

# of 1 dollar bills: 6

Step-by-step explanation:

9•5 = 45

1•6 = 6

To Check: 45 + 6=51

9 $5 bills and 6 $1 bills

Please help me thank you so much Whoever is

Answers

Answer:

1. 96 tennis balls

2. 96 dollars

3. 18 dollars

Step-by-step explanation:

the length of a rectangle is 5 meters less than 3 times the width. the perimeter of the rectangle is 14 meters. find the length and width of the rectangle

Answers

Answer:

(4+x) + x = 18; 2x=14; x=7; width = 7, length = 11

Step-by-step explanation:

I NEED HELP can someone find the slope from these equations

Answers

The slope is the number with the x.
y=mx+b with m being slope.
Answers 2, -1/2, and 2/3

Answer:

[tex] \underline{\boxed{if \: y = 2x + \frac{2}{3} \to \: the \: slope\to \boxed{m = 2} }}\\ \underline{\boxed{if \: y = - \frac{1}{2} x - 3 \to \: the \: slope\to \boxed{m = - \frac{1}{2} } }}\\ \underline{\boxed{ if \: y = \frac{2}{3} x\to \: the \: slope\to \boxed{m = \frac{2}{3} }}}\\ [/tex]

Simplify the expression

Answers

Answer:

           f(y) = y            g(y) = y - 6

Step-by-step explanation:

[tex]\dfrac{y^2+6y}{y^2-36}\qquad\qquad\qquad\qquad y\ne6\,,y\ne-6 \\\\ \\\dfrac{y^2+6y}{y^2-36}=\dfrac{y\cdot y+6\cdot y}{y^2-6^2}=\dfrac{y(y+6)}{(y+6)(y-6)}=\dfrac{y}{(y-6)}\\\\\\f(y)=y\\\\g(y)=y-6[/tex]

find the x and y intercept
y+5=2(x+1)

Answers

Answer:

X-Intercept= (1.5,0)

Y-Intercept= (0,-3)

Step-by-step explanation:

The denominators of a fraction is r more than the numerator. If the numerator is increased by 2 and the denominator is increased by 5 , the fraction obtained is 5/12 . Find the fraction​

Answers

Answer:

please correct your question

Factoring trinomials
Select two for each

Answers

Answer:

1. (x + 3) , (x + 4)

2. (x + 5) , (x - 2)

Step-by-step explanation:

1) ( x + 3 ) ( x + 4 )

2) ( x - 2 ) ( x + 5)

hope this helps

7 + y = 5(2y – 1) + 3y

Answers

Answer:

y = 1

Step-by-step explanation:

Given

7 + y = 5(2y - 1) + 3y ← distribute and simplify right side

7 + y = 10y - 5 + 3y

7 + y = 13y - 5 ( subtract y from both sides )

7 = 12y - 5 ( add 5 to both sides )

12 = 12y ( divide both sides by 12 )

1 = y

3-for-1 split. After the split, the price of one share was $39.24. What was the pre-split price per share?

Answers

Answer:   $117.72

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

Explanation:

Let's say that the company is valued at $300 just as a simple example.

Also, let's say there are 100 shares each worth $3, so we have 100*3 = 300 as the total value of the company.

A 3-for-1 split means that for each share, it will get turned into 3 shares. So you turn in 1 share and in return you get 3 shares back. Or put another way, each share is ripped/cut into 3 equal pieces.

After doing this split, we would have 3*100 = 300 shares and each share would be now worth (1/3)*3 = 1 dollar. Note the new number of shares multiplied with the new value per share is still the same total valuation of $300. Doing a stock split, or a reverse stock split, will not change the value of the company. This is a good thing or else companies would simply do (reverse) splits all the time to increase their value however large they wanted without actually contributing anything to society.

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

So quite simply, when we do a 3-for-1 split, we multiply the old price per share by 1/3 to get the new price per share.

Let

x = old price per share

y = new price per share

So x happens before the split and y is after the split.

For a 3-to-1 split, we can form this equation

y = (1/3)x

which solves to

x = 3y

when we multiply both sides by 3

We know that y = 39.24, which means,

x = 3y

x = 3*39.24

x = 117.72

The pre-split price per share was $117.72

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

So in short, all we did was multiply the given number (39.24) by 3.

What is the answer to -3(4r-8)=-36

Answers

Answer:

r = 5                                

Step-by-step explanation:

l

Answer:

r = 5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−3(4r−8)=−36

(−3)(4r)+(−3)(−8)=−36(Distribute)

−12r+24=−36

Step 2: Subtract 24 from both sides.

−12r+24−24=−36−24

−12r=−60

Step 3: Divide both sides by -12.

−12r  =  −60  

-12      -12

r=5

Hope this helped!  :)

Have great day!

Nina can type 124 words in 4 minutes.at this rate how many words can nina type in an hour

Answers

Answer:

1,860

Step-by-step explanation:

FIRST:

we divide 124 by 4 because in 4 minutes he can type 124 words, and we need to figure out how many he can type in a minute.

124 divided by 4 is 31. (they can type 31 wpm)

NEXT: now we know they can type 31 wpm, we need to multiply that number by 60 because there are 60 minutes in an hour.

31 x 60 = 1,860

therefore, they can type 1860 words per hour

hope i helped have a great day/night! :'')

Which of the following equations is correct? select three that apply
A) 0.12 = 4/33
B) 0.4 = 2/5
C) 0.54 = 6/11
D) 0.7 = 7/9
E) 0.83 = 5/6
F) 0.91 = 41/45

Answers

Answer:b,e,f

Step-by-step explanation:

The correct equations are:

B) 0.4 = 2/5

D) 0.7 = 7/9

E) 0.83 = 5/6

To determine which of the following equations is correct, we need to compare each decimal value to its equivalent fraction. Here are the correct equations:

B) 0.4 = 2/5

D) 0.7 = 7/9

E) 0.83 = 5/6

B) 0.4 is equivalent to 2/5 because 0.4 means 4 tenths, and 2/5 also represents 4 tenths (2 parts out of 5).

D) 0.7 is equivalent to 7/9 because 0.7 means 7 tenths, and 7/9 also represents 7 tenths (7 parts out of 9).

E) 0.83 is equivalent to 5/6 because 0.83 means 83 hundredths, and 5/6 also represents 83 hundredths (5 parts out of 6).

The remaining options (A, C, and F) are not correct as their decimal values do not match their corresponding fractions.

To know more about equations:

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simple question just answer correctly to get brainleist and 10 pts! :)

Answers

Answer:

c is the answer

Step-by-step explanation:

C is the answer to your question

In 1974 a mother was 6 times as old as her daughter. If the mother turned 50 in the year 2000, in what year was the mother double her daughter’s age?

This is in the topic of linear equations and please provide an explanation. (The working out)

Answers

Answer:

1990

Step-by-step explanation:

Since the mother was 50 years old in 2000, she was 50 - (2000-1974) = 50 - 26 = 24 years old in 1974.

Hence, the daughter was 24/6 = 4 years old in 1974.

In "x" years after 1974, the daughter will be 4+x years old, while the mother will be 24+x years old.

We need to find "x" from the equation

2(4 + x) = 24+x.

8 + 2x = 24 + x,

x = 24 - 8 = 16.

1974 + 16 = 1990.

Answer In 1990 the mother doubles her daughter's age

Check In 1990 mother's age is/was 24 + 16 = 40 years.

In 1990 the daughter's age is/was 4 + 16 = 20 years.

In the year 2000 the mother was 50 so that means that in the year 1974 she was 24. If in 1974 she was 6x as old as her daughter then her daughter was 4 years old. Her daughter is 30 in the year 2000 so the year the mothers age was double her daughters age is before 2000 and after 1974. But since we know that in 2000 mom was 50 and daughter is 30 we can take 10 years from both to have 40 and 20. 40 is double of 20 so
In the year 1990 the mother was 40, and therefore double her daughters age, who was 20.

7/3*+1/3=4+5/3x this is a test pls helppp

Answers

Answer:

I am sorry. To answer a test is against the Honor Code, I cannot help you.

Step-by-step explanation:

Remember PEMDAS :)

Answer:

2.125

Step-by-step explanation:

I need help please help

Answers

Answer:

3/4

Step-by-step explanation:

6/8 = 3/4

Susan and Jayne have part-time jobs selling tickets at the theater. This week, Jayne's paycheck was twice the amount of Susan's paycheck. They both were paid $7.50 an hour, and Jayne's paycheck was $60. How many hours did Susan work this week?

Answers

Answer: 4 hours

Step-by-step explanation:

So if Jayne worked twice the amount of susans paycheck, it would be 60/2..so 30 is how much Susan has in her paycheck

Then you would divide both amounts by 7.50 because that’s how much they earn in a hour

J = 60/7.50 = 8 hours

S = 30/7.50 = 4 hours

Susan worked 4 hours

If the figure below are similar with a scale factor of 2:3, find the value of x.

Answers

Answer x=63

Step-by-step explanation:

Which expression is equivalent to 6x6 + 12x + 5 ?

A.(2x+1)(3x+5)
B.(2x+5)(3x-1)
C.(2x-1)(3x-5
D.(2x-5)(3x-1)​

Answers

Answer:

Step-by-step explanation:

None of these are correct. Is the equation 6x^6+12x+5 correct?

Find the solutions of (x – 4)(x – 4) = 0.
Question 4 options:

A)

x = –4

B)

x = 4, –4

C)

x = 0

D)

x = 4

Answers

Answer:

Step-by-step explanation:

(x – 4)(x – 4) = 0.

So factor are x-4=0

X=4 (D) is the answer

I just need some quick help with this. Distributive properties aren't my best section.
Describe how you would use the distributive property to simplify (39x5).

Answers

In this case u can’t use the distributive property. U just multiple whats in the parenthesis (39•5)=195 and that’s ur answer.
Let’s say if the problem said 5(2+1) u can’t use the distributive property bc u have to do what’s in the parentheses first. 5(3)=15
But If u had a problem like 2(4x+6) then u can use the distributive property. This is bc u can’t add 4x+6 bc they aren’t like terms. So u multiple the 2 by 4x which is 8x and the 2 by 6 which is 12 then ur answer would be : 8x+12

What is the slope-intercept form
equation of the line that passes
through (1.3) and (3, 7)? (5
points)

Answers

Answer:

y=2x+1

Step-by-step explanation:

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