Find all roots.
11) x^3 + 6x² + 5x = 0

Answers

Answer 1

Answer:

x=0

x=-1

x=-5

Step-by-step explanation:

To find the roots, we set the equation equal to zero and factor.

x(x²+6x+5)=0           [factor]

x(x+1)(x+5)=0            [set each factor equal to 0]

x=0

x+1=0                       [subtract both sides by 1]

x=-1

x+5=0                      [subtract both sides by 5]

x=-5

Now, we have found three roots, x=0, x=-1, x=-5.


Related Questions

what type of angle is <CEB? ​

Answers

Answer:

obtuse angle

Step-by-step explanation:

m(<CEA)=m(<BED)=88 (vertically opposite angles)

So m(<CEB)+m(<AED)=360-(88+88)=182

m(<CEB)=m(<AED)= 182÷2=92

what is 6.257 x 10^-7

Answers

Answer:

-62570000

Step-by-step explanation:

6.257× -10000000

-62570000

Nicole lives in a home worth $135000. She has a mortgage of $88000. She owes $42000 on her car that is worth $11000. She has a credit card balance of $28000. She also has a checking account with a balance of $900 and $300 in gift cards. What is Nicole's net worth?

Answers

Answer:

305,200

Step-by-step explanation:

(2,-4) and (6,2).
Find the mid point

Answers

Answer:

The answer is

( 4 , - 1)

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(2,-4) and (6,2)

The midpoint is

[tex]M = ( \frac{2 + 6}{ 2} , \: \frac{ - 4 + 2}{2} ) \\ = ( \frac{8}{2} \: , \: - \frac{2}{2} )[/tex]

We have the final answer as

( 4 , - 1)

Hope this helps you

Answer:

The mid point must be (4,-1)

Step-by-step explanation:

mid point= [(X1+X2)/2 , (Y1+Y2)/2]

= [ (2+6)/2 , (-4+2)/2]

= [ 8/4 , -2/2]

= (4, -1)

What is the absolute value of 3 2/3

Answers

Answer:

-3 2/3

Step-by-step explanation:

If the number is positive and they are asking for the absolute value it's always going to be negative of the number they are asking you for the absolute value of. Same thing if it was a negative 3 2/3 then the absolute value of -3 2/3 would be positive 3 2/3.

I hope this helped! <3

Answer: 3.66..

Step-by-step explanation: absolute value is the value of the number from the number 0 on the number line so, 3 ⅔ in decimals is 3.66... so the answer is 3.66... because that is how much the number is if you are counting from 0.

20 points
5. Convert the following standard equation to slope-intercept form (y =
mx + b) and identify the slope: 8x + 2y = 20 *

Answers

Answer:

y = -4x +10

Slope = -4

Step-by-step explanation:

[tex]8x + 2y = 20[/tex]

Slope intercept form =

[tex]y = mx + b[/tex]

[tex]2y = - 8x + 20[/tex]

Divide both sides of the equation by 2

[tex] \frac{2y}{2} = \frac{ - 8x}{2} + \frac{20}{2} [/tex]

Simplify

[tex]y = - 4x + 10[/tex]

In y= mx+b , m is the slope and the coefficient of x

[tex]m = - 4[/tex]

A wheel whose radius is 50 centimeters completes 6 radians in 1 seconds. What is the linear speed of a point on the rim of the wheel? Convert your answer to meters per second (m/s).

Answers

Answer:

3m/seconds

Step-by-step explanation:

In this problem we are required to solve for linear speed of the rotating wheel

The linear speed =angular speed x raduis

Given data

Radius r= 50cm

Converting from cm to m

50/100= 0.5m

Angular velocity w= 6rad/s

V=wr

V= 6*0.5m

V=3m/s

The linear speed is 3m/seconds

Answer:

get from (4,1) to (2,9) go up 8 and over 2 left (-2) - (4 - 2, 1 + 8), do this again (2 - 2, 9+8) and end up at (0,17) which is the y how do you change 7x+3y=3 into slope intercept form.

jifejrknt ertjerjktner tjertkre terjtklremt rejtlermter terjtlermterl tretkeml

Solve for the length of BC

Answers

Answer:

BC= 9cm

Step-by-step explanation:

You'll need to use the Pythagorean theorem:

a^2 + b^2 = c^2

12^2 + b^2 = 15^2

The slanted side of the triangle is always going to be 'c' because it is the longest side of the triangle.

Now simplify:   144 + b^2 = 225

I got these numbers because 12^2= 144 and 15^2= 225

Subtract.   225 - 144 = 81

Now find the square root of 81. The answer is 9.

Solve for k.
12/k = 3

Answers

Answer:

k=3/12

k=.25

Step-by-step explanation:

we need to get k by itself

because 12 is over k we need to get rid of it by moving it to the other side (multiplying) because it is 12/k we need to multiply it by 1/12

This eliminates 12 and leaves us with k=3/12

It is 4 the answer is 4

2(4m + 1) = 4(3 + 2m) what os the value of m in the equation below?​

Answers

Answer:

No solution.

Step-by-step explanation:

[tex]2(4m + 1) = 4(3 + 2m)\\[/tex]

Expand:

[tex]2\times4m+2\times1=4\times3+4\times2m[/tex]

[tex]8m+2=12+8m[/tex]

Subtract 2 from both sides:

[tex]8m+2-2=12+8m-2[/tex]

[tex]8m=8m+10[/tex]

Subtract 8m from both sides:

[tex]8m-8m=8m+10-8m[/tex]

[tex]0=10[/tex]

Since both sides are not equal, there is no solution, because the value of m will not affect this end result of [tex]0=10[/tex] which is false.

Answer:

any or all real number, meaning anything works, the equations are equal!

Step-by-step explanation:

2(4m + 1) = 4(3 + 2m)

8m+2=12+8m

8m=10+8m

0=10

this means that m can be any real number

hope this helped!

Dariaun uses his credit card to buy a $3,000 laptop for college. The credit card
company charges him a simple interest rate of 18%.
How much does he owe the credit card company after six months?

Answers

Answer:

$3,270

Step-by-step explanation:

A = P(1 + rt)

First, converting R percent to r a decimal

r = R/100 = 18%/100 = 0.18 per year.

Putting time into years for simplicity,

6 months / 12 months/year = 0.5 years.

Solving our equation:

A = 3000(1 + (0.18 × 0.5)) = 3270

A = $3,270.00

The total amount accrued, principal plus interest, from simple interest on a principal of $3,000.00 at a rate of 18% per year for 0.5 years (6 months) is $3,270.00.

How do I solve this problem?​

Answers

the answer is 879.65cm^2
the formula to find the surface area is 2(pi)(r)(h)+2(pi)(r^2)

100 pts f f(x) = 8.3x + 8.1, solve f(x) = 65.37. Type your answer as a decimal rounded to the nearest tenth.

Answers

Answer: x=6.9

Step-by-step explanation:

In the problem, it is stated that y=65.37. All we have to do is plug that into y and solve for x.

65.37= 8.3x + 8.1                [subtract both sides by 8.1]

57.27=8.3x                          [divide both sides by 8.3]

x=6.9

Now, we know x=6.9.

Answer:

6.9

Step-by-step explanation:

What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form.
(a) Show your work.
(b) is the product of 2x - 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7? Explain your
answer.

Answers

Answer:

a) 6x³ − 5x² − 39x + 35

b) no

Step-by-step explanation:

(2x − 5) (3x² + 5x − 7)

Distribute:

3x² (2x − 5) + 5x (2x − 5) − 7 (2x − 5)

Distribute again:

6x³ − 15x² + 10x² − 25x − 14x + 35

Combine like terms:

6x³ − 5x² − 39x + 35

5x − 2 is the opposite of 2x − 5, so you would get the negative of the answer from part (a).

A DVD that originally cost $30 is on sale for 10 percent off. Complete the steps to solve the problem.

Answers

Answer:

$27

Step-by-step explanation:

10% of 30 = 3, so if we take 3 or 10% away from 30, you will get 27.

Answer:

27$

Step-by-step explanation:

0% of 30 = 3, so if we take 3 or 10% away from 30, you will get 27.

Ms.Samuel has taken a survey of college students and found that 1 out of 7 students are liberal arts majors. If a college has 12,000 students, what is the best estimate of the number of students who are liberal arts majors

Answers

Answer:

1714 students

Step-by-step explanation:

If  1 out of 7 students are liberal arts majors based on Ms. samuel survey, the  estimate of the number of students who are liberal arts majors if the total number of student in the college s 12,000 can be gotten using the equality expression.

7 students = 1 liberal art major student

12,000 = x liberal art major students

cross multiply

7*x = 12000*1

7x = 12000

divide both sides by 7

7x/7 = 12000/7

x = 1714.29

x≈ 1714

Hence the best estimate for the number of students who are liberal arts majors is 1714 students.

Pls help me on question 15

Answers

I think it’s b try that

2a + 6
what is the verbal expression for this is expression

Answers

Answer:

The sum of two times a number and six.

or

Two times a number plus six.

Step-by-step explanation:

Step 1: Convert 2a into words

2a = two times a number

Step 2: Convert + 6

+ 6 = the sum of 6 or plus 6

Step 3: Combine to make sentence

The sum of two times a number and six.

Two times a number plus six.

What is 3.18 written as a rational?

Answers

Answer:

[tex]\frac{318}{100}[/tex]

Step-by-step explanation:

A rational number can be expressed as

[tex]\frac{a}{b}[/tex] ← where a and b are integers

The 8 in 3.18 is in the hundredths position, thus

3.18 = [tex]\frac{318}{100}[/tex] ← as a rational number

When dividing two numbers with the same base

Answers

Answer:

you subtract the exponents

Find the coordinates of the midpoint of a segment with the endpoints (9.–3) and (5,1).

Answers

Answer:

(7,-1)

Step-by-step explanation:

Answer:

(7,-1)

Step-by-step explanation:

Midpoint = [(x1+x2)÷2] , [(y1+y2)÷2]

= [(9+5)÷2] , [(-3+1)÷2]

= (7 ,-1)

Points F, G and H are collinear. If GH = 16, what is FH?

Answers

Answer:

FH = 36 units

Step-by-step explanation:

Points F, G and H are collinear.

Therefore, by joining segments FG and GH we get a segment FH.

FH = FG + GH

By substituting the values of the segments given in the question,

FH = (3x - 1) + (2x + 2)

     = 5x + 1

Since, GH = 16

2x + 2 = 16

2x = 14

x = 7

Therefore, FH = (5x + 1)

                       = 35 + 1

                       = 36 units

Measure of segment FH = 36 units.

Need help with this question!!!
Pls explain!!!

3=-(4x+7)+3x

Answers

Answer:

x=-10

Step-by-step explanation:

3=-(4x+7)+3x

move all terms to the left:

3-(-(4x+7)+3x)=0

calculate terms in parentheses: -(-(4x+7)+3x), so:

-(4x+7)+3x

add all the numbers together, and all the variables

3x-(4x+7)

get rid of parentheses

3x-4x-7

add all the numbers together, and all the variables

-1x-7

Back to the equation:

-(-1x-7)

get rid of parentheses

1x+7+3=0

add all the numbers together, and all the variables

x+10=0

move all terms containing x to the left, all other terms to the right

x=-10

Please answer these with lots of detail. I want to be able to understand the topic and material well.

Answers

Step-by-step explanation:

Q3

(a) If 0 < |x − 1| < δ, then |f(x) − 2| < 2

What this means is, how far can x stray from the x=1 line such that f(x) stays within 2 units of the y=2 line (0 < f(x) < 4).

If we move 2 units left of x=1, we get f(x) = 4.

If we move about 3.5 units right of x=1, we get f(x) = 4.

Therefore, δ can't be more than 2.

(b) If 0 < |x| < δ, then |f(x) − 3| < 1

What this means is, how far can x stray from the x=0 line such that f(x) stays within 1 unit of the y=3 line (2 < f(x) < 4).

If we move 1 unit left of x=0, we get f(x) = 4.

If we move 1 unts right of x=0, we get f(x) = 2.

Therefore, δ can't be more than 1.

Since f(x) isn't continuous within this domain, we can't conclude that the limit exists.

Q4

(a) Yes.  If δ = 0.25, then 0.75 < x < 1.25, and f(x) > 200.

(b) No.  f(1) = 300, so even if δ = 0, f(x) will be less than 400.

(c) Yes.  If δ ≈ 0.1, then 0.9 < x < 1, and f(x) > 450.

PLEASE help me at 1 B !!!!

Answers

it would be 66 cause you know it

Answer:

a = 1, b = 4

Step-by-step explanation:

You have worked out part (a) correctly, that is

0.7575... = [tex]\frac{75}{99}[/tex] = [tex]\frac{25}{33}[/tex]

(b)

[tex]\frac{a}{11}[/tex] + [tex]\frac{b}{6}[/tex] = [tex]\frac{25}{33}[/tex]

[tex]\frac{6a+11b}{66}[/tex] = [tex]\frac{25}{33}[/tex]  

Multiply numerator/ denominator of [tex]\frac{25}{33}[/tex] by 2, thus

[tex]\frac{25(2)}{33(2)}[/tex] = [tex]\frac{50}{66}[/tex] , then

[tex]\frac{6a+11b}{66}[/tex] = [tex]\frac{50}{66}[/tex] , thus

6a + 11b = 50

Choose a = 1 ( a positive integer ), then

6(1) + 11b = 50

6 + 11b = 50 ( subtract 6 from both sides )

11b = 44 ( divide both sides by 11 )

b = 4

a = 1, b = 4, so

[tex]\frac{1}{11}[/tex] + [tex]\frac{4}{6}[/tex] = [tex]\frac{25}{33\\}[/tex]

i’m taking a test




hello




f r eee e e e
poI nT s


my last account got B A N N E D

Answers

Rip banned account lol

Answer:

yayz fwee pwoints thwank ywuo

Step-by-step explanation:

The line through (4,-1) and (k,5) is parallel to the line y=-3x+5. FInd the value of k.

Answers

Answer:

k = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 5 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus the 2 points have a slope of - 3

calculate the slope using the slope formula and equate to - 3

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (k, 5)

m = [tex]\frac{5+1}{k-4}[/tex] = [tex]\frac{6}{k-4}[/tex] = - 3 ( multiply both sides by (k - 4) )

- 3(k - 4) = 6 ( divide both sides by - 3 )

k - 4 = - 2 ( add 4 to both sides )

k = 2

whats he approximete value of the square root of 8

Answers

Answer:

the approximate value of the square root of 8 is 2.828

What is the first step in evaluating the expression shown below?

12 ÷ (74 – 36) + 8 – 2

a
Subtract 74 – 36.
b
Divide 12 ÷ 74.
c
Add 36 + 8.
d
Subtract 8 – 2.

Answers

Answer:

A

Step-by-step explanation:

because it is is parenthesis

What is the area of this circle?
2cm
Area = [?] cm?
Round your answer to 2 decimal places

Answers

Answer:

12.57

Step-by-step explanation:

Not rounded it would be 12.56637

If you are just replacing pi with 3.14. than your answer would be exactly 12.56.

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