X^3 + 4x^2 - 11x - 30 = (x+2) (x-3) (x+5)=0

Answers

Answer 1

Answer:

STEP   1

Equation at the end of step 1

 (((x3) -  22x2) -  11x) +  30

STEP  2

Checking for a perfect cube

2.1    x3-4x2-11x+30  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3-4x2-11x+30  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -11x+30  

Group 2:  x3-4x2  

Pull out from each group separately :

Group 1:   (-11x+30) • (1) = (11x-30) • (-1)

Group 2:   (x-4) • (x2)


Related Questions

a choir director made a histogram showing the ages of the members of the choir. which statement about the data in the histogram must be sure?
answer options are in the picture!!

Answers

Answer:

the Choir has total of 100 members must be correct answer

more than half......................... can't be right cause there r exactly 50 members between 43-73,

second one can't be right cause no data was given no. of men and women

there r 35 members exactly who r less than 32 years so it's wrong.

hope it helps.

Answer:

the Choir has total of 100 members

Step-by-step explanation:

Someone pls pls answer this ill mark u brainliest

Answers

Answer:

[tex]m\angle CBD=35^{\circ}[/tex]

Step-by-step explanation:

Since there are [tex]180^{\circ}[/tex] on each side of a line and [tex]\angle ABC[/tex] is marked as a right angle, [tex]m\angle CBE=180-90=90^{\circ}[/tex].

[tex]m\angle CBE=m\angle DBE+m\angle CBD[/tex], and [tex]m\angle DBE[/tex] is given as [tex]55^{\circ}[/tex].

Therefore, we can plug in our values and solve:

[tex]90=55+m\angle CBD,\\m\angle CBD=\fbox{35^{\circ}$}[/tex].

PLS HELP MEEEEEEEEEE :(

Answers

Answer: c

Step-by-step explanation:

A

It’s A because it’s a normal slope intercept form equation so if u graph it it’ll just be an infinite line showing all the solutions aka all the points on the line

find the area of this parallelogram. be sure to include the correct unit in your answer

Answers

Answer:

84ft

Step-by-step explanation:

The formula to find the area of a parallelogram is b x h.

The base is 14ft and the height is 6ft. Multiply these together.

14 x 6 = 84ft

84ft have. A good day

b ^ 2 - 4b - 14 = 0

Answers

b^2 -4b -14= 0
For this equation: a=1, b=4, c=-14
Use the quadratic formula and plug in the values^
Answer: 2 + 3 square root of 2, 2 - 3 square root of 2

Carlota’s smartphone contains 500 megabytes of data. She uses 300 megabytes for applications and the rest for music. If each song takes an average of 4 megabytes, which equations can be used to find the number of songs on Carlota’s smartphone? Select all that apply. A. 500−300=4n B. 500+300=4n C. 4n+300=500 D. 300−4n=500

Answers

Answer: A:500-300=4n and C:4n+300=500

Step-by-step explanation:

1)Ellen wanted to buy the following items:
∙ A DVD player for $49.95 ∙ A DVD holder for $19.95 ∙ Personal stereo for $21.95
Does Ellen have enough money to buy all three items if he has $90.s

Answers

Answer:

[tex]\huge\boxed{\tt{ No.}}[/tex]

Step-by-step explanation:

DVD player = $ 49.95

DVD Holder = $ 19.95

Personal Stereo = $ 21.95

Sum of Prices = $ 49.95 + $ 19.95 + $ 21.95 = $ 91.85

Ellan has $ 90 which is less than $ 91.85 which means that Ellan does not have enough to buy all three items.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

- The new apartment you ałe about to sign a one-year lease on is $1,500 per month. The lease
requires you to put up first month's rent and a $750 security deposit to move in. In addition,
keeping your cat will cost an additional $300 for a pet deposit. How much do you need to write a
check for to the landlord at the time of move in?

Answers

Answer:

Total amount = $2550

Step-by-step explanation:

To move in the apartment payments to be done,

1). First month rent = $1500

2). Security deposit = $750

3). Pet deposit = $300

Total payment to be done = 1500 + 750 + 300

                                            = $2550

Therefore, total amount to be paid = $2550

I will write a check of $2550.

m + 7 ≥ 20, if m = 11

Answers

Answer:

False;18 ≥ 20

Step-by-step explanation:

Add  11  and 7

The left side  18  is less than the right side  20 , which means that the given statement is false.

A student is riding a bicycle and sees a traffic light that is 50 feet away.The vertical distance between the traffic light and the student is 14 feet.The student also notices a helicopter at an angle of elevation of 82°.The helicopter is directly above the traffic light.To the nearest tenth of a foot ,what is the vertical distance between the student and the helicopter?

Answers

Answer:

50-14= your answer .

82-your answer

Step-by-step explanation:

The vertical distance between the student and the helicopter is 341.5 feet.

What are trigonometric angles?

Trigonometric angles are the angles in a right-angled triangle using which different trigonometric functions can be represented. Some standard angles used in trigonometry are 0º, 30º, 45º, 60º, 90º.

Given that, a student is riding a bicycle and sees a traffic light that is 50 feet away.

Here, sinx°= 14/50

sinx°=0.28

x°=16.26°

Now tan16.26°=14/p

0.2916=14/p

p=14/0.2916

p=48

tan82°=v/48

7.1153=v/48

v=7.1153×48

v=341.5 feet

Therefore, the vertical distance between the student and the helicopter is 341.5 feet.

Learn more about the trigonometric angles visit:

brainly.com/question/24174128.

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The container that holds the water for the football team is 1/4 full. After pouring in 10 gallons of water, it is 2/3 full. How many gallons can the container hold?

Answers

Answer:

[tex]x =24[/tex]

Step-by-step explanation:

From the question we are told that

Amount of water 1/4x

Gallons added 10

Amount of water after addition 2/3x

Where x is a full container

Generally the parameters above gives the equation

  [tex]\frac{1}{4}x +10=\frac{2}{3}x[/tex]

Therefore

  [tex]\frac{1}{4}x -\frac{2}{3}x =-10[/tex]

[tex]-\frac{5}{12}x =-10[/tex]

[tex]x =\frac{-10}{-\frac{5}{12}}[/tex]

[tex]x =24[/tex]

Therefore the container can hold 24 gallons of water

Will I fail this year, let me know what you think.

Answers

Answer:

nahhhhhhh u will passsss

6 pounds of candy cost $22.44 how much does it cost of 10 pounds

Answers

ANSWER:
$37.40
This is because
22.44/6= 3.74
and 3.74*10= 37.4
So answer is:
$37.40

Answer:

10 pound=$37.4

Step-by-step explanation:

$22.44 divide by 6 = one pound $3.74

$3.74*10= $37.4

What’s -9/6 divided by -1/8

Answers

Answer:

-9/6 divided by -1/8 equals 12

Step-by-step explanation:

. A negative divided by a negative is a positive so... 9/6 divided by 1/8

. To divide by a fraction, multiply by the reciprocal of that fraction so... 9/6 times 8

. Reduce the fraction with 3 so... 3/2 times 8

. Reduce the numbers with the greatest common factor 2 so... 3 times 4

. Multiply the numbers so... 3 times 4 equals 12

The angle of elevation of the top of a flagpole from a point on the ground 30 meters
from the base of the flagpole is 18 degrees. What is the height of the flagpole, to the
nearest meter?

I need help

Answers

Answer:

[tex]10\:\mathrm{meters}[/tex]

Step-by-step explanation:

We can use trigonometry for a right triangle to solve this problem:

[tex]\tan 18^{\circ}=\frac{h}{30},\\h=30\cdot\tan 18^{\circ},\\h\approx \fbox{$10\:\mathrm{m}$}[/tex].

The height of the flagpole is 10 meters.

What is angle of elevation?

"It is the angle from the horizontal upward to an object."

For given question,

Consider the following figure.

The angle of elevation is 18°

⇒ ∠ACB = 18°

Also, BC = 30 meters

We need to find the height of the flagpole i.e., we need to find the distance AB.

Consider a tan(∠ACB )

[tex]\Rightarrow tan(18^{\circ})=\frac{AB}{BC}\\\\ \Rightarrow 0.3249 = \frac{AB}{30}\\\\ \Rightarrow AB=9.747 ~~meters\\\\\Rightarrow AB\approx 10~~meters[/tex]

Therefore, the height of the flagpole is 10 meters.

Learn more about angle of elevation here:

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Simplify the following expression

3x+4-2x-6

Answers

Answer: X-2
Explanation: 3x-2x=X. 4-6=-2

Solve for x. Look at the image attached thanks.

Answers

Answer:

x=2.2

Step-by-step explanation:

You know that for triangle ABC, side AB=10, CB=2 and AD=AB+BD=10+1=11. Given that triangles ABC and AED have the same angles, they are similar triangles.

So we can use the following ratios to solve for ED=x:

Num. 3 What is the name of the ray shown?

Answers

Answer:

I believe the answer is C

Step-by-step explanation:

Because lines with arrows at the end means the line is continuing. Let me know if this is right . I hope I helped! :)

Answer:

the answer to this question is (C)

Step-by-step explanation:

What is the solution to the equation 3x+2--x-5?
0 X=-B
x=-7
OX= 7
O X=8

Answers

Answer:

it x=-8 do it

Step-by-step explanation:

True or false: you flip the sign every time you multiply or divide when you're solving an
inequality.

Answers

False. You only flip when the number you are multiplying/dividing is negative.

Which graph is used to model piece rate pay?

A. Piecewise
B. Piece rate
C. Scatterplot
D. Quadratic equation

Answers

Answer:

C

Step-by-step explanation:

The equation of graph is solved and graph that is used to model piece rate pay is the "piece rate" graph

What is Equation of Graph of Polynomials?

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

The graph that is used to model piece rate pay is the "piece rate" graph. The piece rate graph shows how much money is earned for each unit of work completed. It is a linear graph with a slope that represents the rate of pay per unit of work completed.

The other graphs mentioned are used for different purposes:

A piecewise graph is used to represent a function that is defined by multiple equations on different intervals.

Hence , the graph is solved

To learn more about equation of graph of polynomials click :

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Divide: 15m^2n + 20mn/5mn

Answers

The answer is
15m^2n + 4/n
Hope that helps, have a nice night or day <4

What is f(1/2)? (1 over 2)

Answers

5 is the correct answer

Pls help I’ll give brainliest

Answers

Answer:

B.

yeah. thats the answer.

Solve the system of equations by the substitution method.
y=5x+8 y=8x+9
Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

Answers

Answer:

whichever one corresponds with the answers you have will be right.

A culture of bacteria has an initial population of 39000 bacteria and doubles every 9 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t ​ =P 0 ​ ⋅2 d t ​ , where P_tP t ​ is the population after t hours, P_0P 0 ​ is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 2 hours, to the nearest whole number?

Answers

Answer:

45495

Step-by-step explanation:

Answer:

10077

Step-by-step explanation:

A culture of bacteria has an initial population of 5400 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P

t

=P

0

⋅2

d

t

, where P_tP

t

 is the population after t hours, P_0P

0

 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 9 hours, to the nearest whole number?

P_0=5400

P

0

=5400

The initial population

t=9

t=9

Time elapsed

d=10

d=10

The doubling time

P_t = P_0\cdot 2^{\frac{t}{d}}

P

t

=P

0

⋅2

d

t

P_t=5400\cdot 2^\frac{9}{10}

P

t

=5400⋅2

10

9

Plug in

P_t=10076.7563\approx10077

P

t

=10076.7563≈10077

Use parenthesis in the calculator for the exponent

help please! area of rectangles and squares.

Answers

Answer:

2x squared + 25

Step-by-step explanation:

Step-by-step explanation:

area of rectangle

height×base

(2x-5)(2x-2)=

=4x^2-4x-10x+10

=4x^2-14x+10

(we get quadratic equation)

a=4 b=-14 c=10

firat find discriminant with formula:

D=b^2-4ac(-14)^2-(4×4×10)=196-160=36

now find x1 and x2 with formula:

X=(-b±√D)/2a

x1=(14+√36)/8=20/8=2.5

x2=(14-√36)/8=8/8=1

lets put values :

if we put x2 value as a base, which is 1 in given height and base, we will get 2(1)-2=0. measure of amy side can't be 0.

and if we put x2 in height, it will give us zero.

so no matter which one we put as value. we will get 0cm^2. so i think it cant be detected. im sorry if im wrong

Which two grids have 25% shaded

Answers

We can’t see the grids

Answer:

there's no grid provided

What value of 'c' makes the equation true?

3/6=4/c*
Brainliest to whom answers fast and accurately (please hurry!!)

Answers

Answer:

8

Step-by-step explanation:

Answer:

c=8

Step-by-step explanation:

12. UZ, VX, and TW are medians of Triangle TUV. If YX = 8, find VY.​

Answers

Answer:

VY = 16

Step-by-step explanation:

The median of a triangle is the segment that joins a vertex and the midpoint of the side opposite to this vertex.The point of intersection of the medians of a triangle, divide each median at ratio 2: 1 from the vertex.

In the given figure

∵ TUV is a triangle

UZ, VX, and TW are medians

∵ UZ ∩ VX ∩ TW at point Y

∴ Y is the point of intersection of the 3 medians

→ By using the 2nd rule above

∵ The point Y divide VX at the ratio of 2: 1 from the vertex V

VY: YX = 2: 1

∴ [tex]\frac{VY}{YX}[/tex] = [tex]\frac{2}{1}[/tex]

→ By using cross multiplication

∵ VY × 1 = YX × 2

VY = 2YX

∵ YX = 8

∴ VY = 2(8)

VY = 16

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