What are the zeros of the polynomial function f(x) = x3 + x2 − 42x?

A. −7, 6

B. −6, 7

C. −6, 0, 7

D. −7, 0, 6

Answers

Answer 1

Answer:

D. -7, 0, 6

Step-by-step explanation:

[tex]x^3+x^2-42x=0[/tex]

[tex]x(x^2+x-42)=0[/tex]

[tex]x(x^2-6x+7x-42)=0[/tex]

[tex]x(x-6)(x+7)=0[/tex]

ZEROS:

x = 0

x = 6

x = -7

Hope this helps!


Related Questions

Solve the system by substitution.

y=4x-9
y=x-3

Answers

X-3=4x-9
X=4x-9+3
X=4x-6
X+6=4x |-x
6=3x |:3
X=2

Answer:

(2, -1)

Step-by-step explanation:

Given

y = 4x - 9y = x - 3

Solving

Substitute the value of one of the y values from the other equation4x - 9 = x - 33x = 6x = 2y = 2 - 3y = -1(2, -1)

Find three different ways to write the number 437000 as a multiple of a power of 10

Answers

Answer:

4370*10^2

437*10^3

43.7*10^4

100 points. Send notes for volume of prisms and cylinders - gradpoint

Answers

Answer:

V = Bh = πr2h

Step-by-step explanation:

What is the best definition of area

Answers

Answer:

the region occupied in a plane is called area

In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object.

a trapezoid has a base of 32 inches and 14 inches and a height of 25 inches

Answers

Answer:

575 if your asking for the area

Step-by-step explanation:

A new car is purchased for $35, 000 and over time its value depreciates by
one half every 6 years. What is the value of the car 14 years after it was
purchased, to the nearest hundred dollars?

Answers

The value after 14 year is 8750 dollar

The selling price of a sweater is the cost plus the markup minus the discount. Write an expression to show the selling price s of a sweater. Use c for cost, m for markup, and d for discount.

Answers

Answer:

Step-by-step explanation:

Selling price = Cost price + Marked price - discount

            s   =  c + m - d

I need help, question is in image.​

Answers

the answer is -8. hope this helps

solve for x 13 + 7x = 27

Answers

Answer:

x=2

Step-by-step explanation:

1) -13 on each side (7x=14)

2) Divide by 7 on each side (x=2)

3) x=2

PLS HELPPP WHAT IS THE ANSWER????

Answers

Answer:

212

Step-by-step explanation:

starting with (xy)

you first plug in x=2 and y=3

(2×3) = 6

then we add in the exponent of 3

6^3 = 216

this is because an exponent shows you how many times the number is multiple by itself (6×6×6)

next we work on x^4 by plugging in x=2

2^4=16

2×2×2×2

we do the same for x^2

2^2=4

2×2

next we do the division

16/4=4

finally we take the 216 and 4 and do the subtraction

216-4=212

There are 14 girls and 16 boys in Ms. Cherry's class. What is the ratio of girls to students in simplest form?

Answers

Answer:

7:15

Step-by-step explanation:

Total Students = 14+16 = 30

14:30

Divide by 2 on Both Sides

7:15

Answer: 7 to 15 hope it helps pretty Shure it will

Step-by-step explanation: I took the quiz

I need help with problem 22

Answers

Answer:

6 art course and 7 writing coures

What is the mistake NEED ANSWER ASAP​

Answers

Answer:

The answers are in the image.

Step-by-step explanation:

Charlie made the mistake by not getting the equation equal to zero.

[tex]x^2 - 9x + 8 = 16[/tex]

Subtract 16 to both sides making it equal to 0.

[tex]x^2 - 9x - 8 = 0[/tex]

Using Quadratic Formula to Solve for x.

HELP ASAP!!

Below is the graph of y equation y=-|x-2|+3. Use this graph to find all values of x given each statement.

a) -|x-2|+3>0

b) -|x-2|+3<0

c) -|x-2|+3=0

Thank you!

Answers

Answer:

Step-by-step explanation:

a) x<5 and x>−1

b)x<-1,x>5

c)x=5,x=-1

For the equation:  

y=-|x-2|+3 values of x for below cases are :

a) -|x-2|+3>0  , x ∈ (-1 , 5)

b) -|x-2|+3<0  ,   x ∈ R - [-1 , 5]  or x  ∈ (-∞ , - 1) U ( 5 , ∞)

c)-|x-2|+3=0    ,     x  ∈ {-1 , 5}

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Graph of the equation:  

⇒ y = -|x-2| + 3

To Find: Values of x in below cases:

a) -|x-2|+3>0

b) -|x-2|+3<0

c)-|x-2|+3=0

Solution:

a) -|x-2|+3>0

y=-|x-2|+3

⇒  y > 0

Hence, From the graph y > 0 when x ∈ (-1 , 5)

without using graph :

- |x - 2| + 3 > 0

3 > | x - 2|

| x - 2 | < 3

Case 1 : x - 2 > 0

x - 2 < 3

x < 5

Case2 : x - 2 < 0

x - 2 > - 3

x > - 1

b) -|x-2|+3<0

y=-|x-2|+3

 y < 0

From the graph y > 0 when x < - 1 or x > 5

x ∈ R - [-1 , 5]

or, x  ∈ (-∞ , - 1) U ( 5 , ∞)

without using graph :

-|x-2|+3<0

3 < | x - 2|

| x - 2 | > 3

case 1 : x - 2 > 0

x - 2 > 3

x > 5

case 2 : x - 2 < 0

x - 2 < - 3

x < - 1

a) -|x-2|+3=0

y=-|x-2|+3

y = 0

From the graph y = 0 when x = -1 and 5

x  ∈ {-1 , 5}

without using graph :

-|x-2|+3=0

3 = | x - 2|

| x - 2 | =  3

case 1 : x - 2 = 3

x = 5

case 2 : x - 2 = - 3

x =  - 1

Thus, For the equation:  y=-|x-2|+3 values of x for below cases are :

a) -|x-2|+3>0  , x ∈ (-1 , 5)

b) -|x-2|+3<0  ,   x ∈ R - [-1 , 5]  or x  ∈ (-∞ , - 1) U ( 5 , ∞)

c)-|x-2|+3=0    ,     x  ∈ {-1 , 5}

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Which of these fractions below are equivalent to 3/4?
A) 12/16
B) 6/8
C) 15/20
D) 20/28
E) 24/32

A? B? C? D? OR E?



5 starts the first person to answer me!!!

Answers

A, B, C, E, are correct answers

Hey there!

3/4

= 3 ÷ 4

= 0.75

= 75%

Option A.
12/16

= 12 ÷ 2 / 16 ÷ 2

= 6 / 8

= 6 ÷ 8

= 0.75

= 75%

Thus, this statement is: TRUE

Option B.
6/8

= 6 ÷ 2 / 8 ÷ 2

= 3 / 4

= 3 ÷ 4

= 0.75

= 75%
Thus, this statement is: TRUE

Option C.
15/20

= 15 ÷ 5 / 20 ÷ 5

= 3 / 4

= 3 ÷ 4

= 0.75

= 75%

Thus, this statement is: TRUE

Option D.
20/28

= 20 ÷ 2 / 28 ÷ 2

= 10 / 14

= 10 ÷ 2 / 14 ÷ 2

= 5 / 7

= 0.714286

= 71.4286%

Thus, this statement is: FALSE

Option E.
24/32

= 24 ÷ 2 / 32 ÷ 2

= 12 / 16

= 12 ÷ 4 / 16 ÷ 4

= 3 / 4

= 3 ÷ 4

= 0.75

= 75%
Thus, this statement is: TRUE

Therefore, your answers are

• Option A. 12/16
• Option B. 6/8
• Option C. 15/20
• Option E. 24/32


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

! Find the Length of AB

Answers

x = 7

hope it helps...!!!

Which expressions are equivalent? Check all that apply.
39
34
-9²
9
81¹

Answers

Answer:

-9²

81¹

They both are equal to 81.

the ratio of angles in a triangle is 11:6:7. find the largest angle

Answers

Answer:

Step-by-step explanation:

Scott plans to cut wood with a chainsaw that operates on a fuel mixture of oil and gasoline.
• Scott knows the ratio for the mixture is 16 fluid ounces of oil for every 5 gallons of gasoline.
• Scott will create a mixture of the oil and gasoline and then fill the fuel tank of the chainsaw.
• The fuel tank of the chainsaw has a capacity of 12 fluid ounces.
.A full tank of the mixture allows Scott to operate the chainsaw for 40 minutes.
Part A
Scott has only 2 gallons of gasoline for the oil and gasoline mixture. How many fluid ounces of oil will Scott need to
add to the 2 gallons of gasoline to get the proper ratio for the mixture? Enter your answer in the first response box.

Answers

Answer:

It would take 6.4 fluid ounces. i think I got the same chainsaw or at least gas mix

In her free time, Isabelle likes to read. She kept track of the number of pages in each book she read last summer. This box plot shows the results.
Book pages
100
150
200
250
300
350
What fraction of the books had 200 or fewer pages?

Answers

Answer: 1/2

Step-by-step explanation:

I took the ixl and I put 1/3 but it was actually 1/2

The fraction of books which had 200 or fewer pages is given by A = 1/2

What is box plot?

A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary.

A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.

It is used when showing the distribution of data points across a selected measure and if the box in a box plot is stretched in one direction or the other, then the data is skewed in that direction.

Given data ,

Isabelle kept track of the number of pages in each book she read last summer

Now , let the box plot be represented as A

Now , the first and third quartile along with the median is given below ;

So , the fraction of books which had 200 or fewer books is given by A = 1/2

Hence , the box plot is solved and the fraction is A = 1/2

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Zack and Antonio are on the track team. Zack ran 108 miles over 9 weeks, running the same distance each week. Antonio ran 91 miles over 7 weeks, running the same distance each week. Which statement correctly compares the numbers of miles per week they ran?​

Answers

Answer:

zack ran 17 more miles per week than antonio

Step-by-step explanation:

A typhoon at P is 382 km away from city H at 8 p.m. The compass bearing of P from H is N28°W and the typhoon moves in the direction S15°W at a constant speed of 28 km/h. Find the shortest distance between the typhoon and city H. ​

Answers

C. Directions: Choose the letter that corresponds to the correct answer. 1. Francis walks
144
meters in
12
minutes from his house to his school What is his average speed? 4 QZ Week No.5_Competency Code: M6ME-IIIg- 7, M6ME-IIlg-18 A.
10
meters per minute C.
14
meters per minute B.
12
meters per minute D.
16
meters per minute 2. A typhoon is moving at the speed of
1250
km in
10
hours. What is the average speed of the typhoon? A.
125
kph B.
130
kph C.
135
kph D.
140
kph 3. Lito drove for
3
hours at a rate of
50
km per hour and for
2
hours at
60
km per hour. What was his average speed for the whole journey? A.
50
kph B.
52
kph C.
54
kph D.
56
kph 4. A truck took
4
hours to travel
280
km. Find the average speed of the truck? A.
74
km/h B.
70
km/h C.
66
km/h D.
62
km/h 5. A train left Town A going to Town B at 9:30 a.m. It reached its destination at
12
:
00
noon. The distance from Town A to Town B is
190
km. What was the train's average speed? A.
75
km/h B.
76
km/h C.
77
km/h D.
78
km/h

Correlation coefficients can test ______ variable(s) at a time. a. two or more b. only one c. one or more d. only two

Answers

Correlation coeffiencients is used to determine the relationships between data, Correlation coefficients can test two or more variable(s) at a time

What are correlation coefficients?

This is a linear correlation between sets of data. This coefficient can only be between -1 and 1.

Positive values show a positive correlation while a negative value shows negative correlation.  A correlation coefficient of zero shows no relationship between variables.

Based on the explanation, we can conclude that Correlation coefficients can test two or more variable(s) at a time

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Round 1 637, 984 off to: c) the nearest tenth

Answers

Answer:

1,637.984

hope this helps

Find the value of x.

Answers

Because corresponding sides of similar figures are in proportion, we can obtain the equation:

(x+3)/4 = (2x-4)/3

Multiplying both sides by 12,

3(x+3)=4(2x-4)
3x+9=8x-16
x=5

Let x = a bi and y = c di and z = f gi which statements are true? check all of the boxes that apply. x y = y x (x × y) × z = x × (y × z) x – y = y – x (x y) z = x (y z) (x – y) – z = x – (y – z)

Answers

A complex number is a part of a number system that includes a real unit and an imaginary unit. All the statements are true except C and E.

What is a Complex Number?

A complex number is a part of a number system that includes the real numbers as well as a particular element labelled i, sometimes known as the imaginary unit, and which obeys the equation i² = 1.

As it is given that x=(a+bi), y=(c+di), and z=(f+gi), therefore, we need to plug in the values to check which all are true.

A.) x+y=y+x

[tex]x+y=y+x\\a+bi+c+di=c+di+a+bi[/tex]

As the two sides of the equation are equal, the equation is true.

B.) (x × y) × z = x × (y × z)

[tex](x \times y) \times z = x \times (y \times z)\\\\\ [ (a+bi) \times (c+di) ]\times (f+gi) = (a+bi) \times [(c+di) \times (f+gi)]\\\\(ac+adi+bci-bd) \times (f+gi)= (a+bi) \times (cf+cgi+fdi-dg)[/tex]

[tex](ac+adi+bci-bd) \times (f+gi)= (a+bi) \times (cf+cgi+fdi-dg)\\\\\\acf+adfi+bcfi-bdf+acgi-adg-bcg-bdgi = acf+acgi+afdi-adg + bcfi-bcg-bfd-bdgi[/tex]

As the two sides of the equation are equal, the equation is true.

C.) x−y=y−x

[tex]x-y=y-x\\\\(a+bi)-(c+di)=(c+di)-(a+bi)\\\\a+bi-c-di=c+di-a-bi[/tex]

As the two sides of the equation are not equal, the equation is not true.

D.) (x+y)+z=x+(y+z)

[tex](x+y)+z=x+(y+z)\\\\(a+bi+c+di)+f+gi = a+bi+(c+di+f+gi)\\\\a+bi+c+di+f+gi = a+bi+c+di+f+gi[/tex]

As the two sides of the equation are equal, the equation is true.

E.) (x−y)−z=x−(y−z)

[tex](x-y)-z=x-(y-z)\\\\(a+bi-c-di)-f-gi = a+bi-(c+di-f-gi)\\\\a+bi-c-di-f-gi =a+bi-c-di+f+gi)[/tex]

As the two sides of the equation are not equal, the equation is not true.

Hence, all the statements are true except C and E.

Learn more about Complex Number:

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two differences between hybris fruits and local fruits.

Answers

Answer:

Native vegetable varieties are being organically cultivated by local farmers for hundreds of years. It is always recommended to regularly consume native vegetables where you belong to. Hybrids on the other hand are superior varieties of same vegetable species artificially crossed & developed by humans.

Step-by-step explanation:

Native vegetable varieties are being organically cultivated by local farmers for hundreds of years. It is always recommended to regularly consume native vegetables where you belong to. Hybrids on the other hand are superior varieties of same vegetable species artificially crossed & developed by humans.

solve the system:
2x+6y=36
x+4y=20

Answers

Let's solve this problem step-by-step

Let's set:

   2x + 6y = 36 -- equation 1

   x + 4y = 20 -- equation 2

(equation 2) * 2

   2x + 8y = 40 -- equation 3

(equation 3) - (equation 1)

   2y = 4

   y = 2 -- equation 4

Plug (equation 4)'s value of y into (equation 2)

   x + 4(2) = 20

   x = 20 - 8

   x = 12

Thus x = 12 and y = 2

Let's check, by substituting these values

  [tex]2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20[/tex]

Answer: x = 12 and y = 2

Hope that helps!

Find the lateral surface area and surface area of a cone with a base radius of 4cm and a slant height of 10cm.

Answers

Answer:

Lateral surface: 135.34

surface area: 185.61

Step-by-step explanation:

Lateral surface formula: AL=πrh2+r2

surface area formula: A=πr(r+h2+r2)

helpp meeee pleaseeee

Answers

Answer:

x≈49.457

y≈40.543

using trigonometry

Step-by-step explanation:

you basically jump type in the calculator shift then press the (sin/cos/tan) then put the ratio

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