P(x)=2x ³+ x ²-7x-6​

Answers

Answer 1

Answer:

x = -1.5, -1, 2.

Step-by-step explanation:

I am assuming you want to solve this>

Solve 2x ³ + x ² -7x - 6​ = 0

It looks like x = -1 is a solution so we try it:

2*(-1)^3 + (-1)^2 -7(-1) - 6

= -2 + 1 + 7 - 6

= -1 + 1 = 0

So x = -1 is one root.

So (x + 1) must be a factor of P(x)

Now we divide by x + 1:

x + 1)2x ³     + x ²   -7x -  6​( 2x^2 - x - 6  <--- quotient

       2x^3 + 2x^2

                  -x^2  - 7x

                  -x^2  -  x

                             -6x -  6

                             -6x -  6

                              ----------

2x^2 - x - 6 = 0

(2x + 3)(x - 2) = 0

x = -1.5, 2.


Related Questions

-4+5x-7=10+3x-2x. Solve for x

Answers

Answer:

-4 + 5x - 7 = 10 + 3x - 2x

5x - 3x + 2x = 10 + 4 + 7

4x = 21

x = 21/4

x = 5 1/4 or 5.25

Answer: 5=x

Step-by-step explanation:

-4+5x-7=10+3x-2x

Combine like terms:

-10+5x=10+x

Subtract 10 on both sides:

-10-10+5x=10-10+x

-20+5x=x

Subtract 5x on both sides:

-20+5x-5x=x-5x

-20=-4x

Divide -4 on both sides:

-20/-4=-4x/-4

5=x

Write an expression that represents the height of a tree that begins at 2 feet and increases by 4 feet per year. Let y represent the number of years. PLEASE HELP ME

Answers

Answer:
2+4y

Explanation:
The height of the tree increases by 4 feet per year, so we know to multiply 4 by the number of years to find its height. The initial height of the tree is 2, so we add 2 to 4y.

Example: The height of the tree in 6 years
2+4y
2+4*6
=2+24
=26

I hope this helps!

Answer:

2+4y

Step-by-step explanation:

1. 6(4x+1)=78
2. 2(x+10)=60

Solve for x​

Answers

Answer:

1. x= -3

2. x= 20

Step-by-step explanation:

sorry if this is wrong,

Find the length of the hypotenuse of a right triangle with legs of 8 and 6.

Answers

Answer: 10
Explanation:
formula for hypotenuse : a^2+b^2=c^2
8^2+6^2=c^2
64+36=c^2
100=c^2
so we find the square root of 100 and its is:
c=10

Henry wanted to collect 65 pounds of cans in 7 days. How much should he collect each day to reach his goal? Which two whole numbers does your answer lie between?

Answers

Answer:10 cans per day
Divide 65 by 7 and increase by 1 so that you get a number higher and not less than 65

Does (2,2) make the inequality 5x+4y>20 true?

Answers

Answer:

No

Step-by-step explanation:

substitute the coordinates of the point into the left side of the inequality and check the value obtained against the right side.

5(2) + 4(2) = 10 + 8 = 18 < 20

then (2, 2 ) does not make the inequality true

A triangle has side lengths 4y, 5y and 9y. The longest side of the triangle is 5y. What value of y proves that this triangle is a right triangle?

Answers

Answer:

9y i can be rong

Step-by-step explanation:

Find the unknown length. Round to the nearest tenth if necessary.

Answers

Answer:

55 i believe

28 + 27 = 55

Answer:

a = 7.4

Step-by-step explanation:

Since this is a right triangle, we will use the Pythagorean theorem:

c^2 = a^2 + b^2

28^2 = a^2 + 27^2

784 = a^2 + 729

55 = a^2

a = 7.4

Molly is throwing a beach party. She still needs to buy beach towels and beach balls. Towels are $3 each and beach balls $4 each. She bought 10 items in total and it cost $34. How many beachballs did she got?

Answers

Answer:

6

Step-by-step explanation:

for g(x)=1/2x-11, find x when g(x)=-5

Answers

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

g(x) = 1/2x - 11

g(x) = -5

Step 2: Solve for x

Substitute:                    -5 = 1/2x - 11Isolate x term:              6 = 1/2xIsolate x:                       12 = xRewrite:                        x = 12

Please help math 50 points please dont lie

Answers

Answer:

8,250

Step-by-step explanation:

10 to the power of 2 is 100, move the decimal 2 spaces to the right.

Answer:

Hi, i think the answer would be the third option, 8,250.

Step-by-step explanation:

You do the exponents first in this equation according to the acronym PEMDAS. 10 to the second power is 100, so now you have

82.5 × 100

This would be equal to moving the decimal point two spaces to the right, giving us 8,250 as the answer

answer correctly pls and i will give BL

Answers

Answer:

I would say 4 more miles than you each week

Step-by-step explanation:

Based on your research, what is your top career choice? Using the eight components from your graphic organizer,

Answers

Answer:

My career choice is anesthesiologist because they have the highest paying job, they have the knowledge to treat the entire human body, and they are qualified to give emergency medicine

Step-by-step explanation:

I hope you are satisfied

. A electric jug was sold allowing 20% discount
with Profit of Rs.120. If the jug was sold
allowing 30% discount, there would have
been loss of Rs. 270. Find the MP of the jug.
solu​

Answers

9514 1404 393

Answer:

  marked price = Rs. 3900

Step-by-step explanation:

The difference between the discounts is 30% -20% = 10% of the marked price. The difference in Rs is 120 -(-270) = 390. If Rs. 390 is 10% of the marked price, then the marked price is (Rs. 390)/(0.10) = Rs. 3900.

The marked price is Rs. 3900.

_____

Check

A 20% discount from 3900 is a price of 3120. If the profit is 120, the cost price is 3000. A 30% discount from 3900 is 2730. This is 270 below the 3000 cost price, so our answer is consistent with problem requirements.

Find the missing interest rate.
I = $63
P = $420
r = %
t = 3 years

Answers

Answer: r=5%

Step-by-step explanation:

I=Prt

I/P=Prt/P

I/P=rt

I/(P*t)=rt/t

r=I/Pt

r=63/(420*3)

r=21*3/(420*3)

r=21/420

r=1/20

r=0.05

r=0.05 * 100%

r=5%

9) f(x) = 3-4x – 12
x2 + 3x + 2
y-int:
HA:
Hole:
VA:
x-int:

Answers

Answer:

x=3,2i,-2i

Step-by-step explanation:

Help me with number 11 please

Answers

umm I don't remember I would say if I remembered

43. (09.01)
Let A = {15, 25, 35, 45, 55, 65} and B = {25, 45, 65}. What is ANB? (1 point)
O {15, 25, 35, 45, 55, 65}
O {15, 35, 55}
{25, 45, 65}
{15, 25, 35, 45}

Answers

Answer:

That is;

{25,45,65}

Step-by-step explanation:

Here, we want to find the set of A n B

That is the set that contains values that are present in both sets A and B

Mathematically, that will be;

{25,45,65}

Guys I need help : How do we find square of any number Ex.121.... for grade 5 and 6 ez method plis

Answers

Answer:

[tex]hey \: its \: easy[/tex]

(1) Square of 5 = 5 × 5 = 25

(2) Square of 10 = 10 × 10 = 100

(3) Square of 16 = 16 × 16 = 256

(4) Square of 25 = 25 × 25 = 625

(5) Square of 110 = 110 × 110 = 12100

like this you can also find it

hope it helps

pls mark as brainliest

Answer:

Step-by-step explanation:

You have to figure out what has to multiply by itself to get to that number.

So for example, 121. The square root is more than 10 because 10 times 10 equals 100. It's less than 15 because 15 times 15 is a little over 200. If you have your multiplication tables memorized, you'd know that 11 multiplied by itself is 121. Therefore, the square root to 121 is 11. Hope this helps! (:

need this real fast please

Answers

Answer:

slope = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 0) ← 2 points on the line

m = [tex]\frac{0-2}{3-0}[/tex] = [tex]\frac{-2}{3}[/tex] = - [tex]\frac{2}{3}[/tex]

Answer:

-2/3

Step-by-step explanation:

The equation for slope is y2-y1 over x2-x1.

Or you can easily do rise over run.

Lets use the point (0,3.) So, we want to calculate slope, but the only other direct point is (0,2) so lets also use that.

If we start at the point (0,2) and go down 2 units, we just have to go over 3 units to get to (0,3) so thats convienient.

The rise is the -2 units, since you go down 2 units to get to the second point. You also have to run 3 units over to get to the second point.

The run is 3, and the rise is -2.

Rise over run

-2 (rise) over 3 (run)

-2/3

-2/3 is the slope.

Hope this helps!

express (x+7)^2 as a trinomial in standard form

Answers

Answer:

x^2 +14x+49

Step-by-step explanation:

The standard form of the polynomial (x+7)² is x² +14x+49.

What is a polynomial?

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The polynomial will be represented as,

E =  (x+7)²

E = x² +14x+49.

To know more about polynomials follow

brainly.com/question/2833285

#SPJ2

The graph shows the number of bacteria presented in an experiment


What is the rate of change for the number of bacteria from t=2 to t= 4​

Answers

Answer:

fdsvStep-by-step explanation:

simply 8/-4 dived by -3/9

Answers

Answer:

-6

Step-by-step explanation:

In 5-7 complete sentences, write a real world situation that can be modeled by the equation. 3x = 5x + 10

Answers

hmmmm i don’t think you can

I need the answer to this ASAP!!!! 30 points!!!

Answers

Answer:

6(1/4) or (25/4) pounds

Step-by-step explanation:

      1       1(1/4)  1(1/2)   1(3/4)          2

<-----|---------|---------|------------|-----------|---->

      X         X        X             X            X

      X         X                                      X

                  X

                  X

                  X

1(1/4) or (5/4)

(5/4) x 5 = 6(1/4) or 25/4 pounds

I hope this helps!

Which fraction is BETWEEN 211 and 311?
Responses

Answers

Answer:

3/12 or 1/4

Step-by-step explanation:

To do this you can just increase the denominator by 1, at least for this question

3/11 is around 0.27, while 3/12 is 0.25. 2/11 is 0.19, which is smaller than 0.25, so

3/12 is a justificable answer.

3/12 or 1/4 is going to be your answer

m/4 - 3 = 5 HELPPPPPPPPP PLZZZXZZZZZZZZZZZZZZZZZZ

Answers

M-32 should be correct

Two numbers have these properties.
Both numbers are greater than 8.
Their highest common factor (HCF) is 8.
Their lowest common multiple (LCM) is 80.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and ...​

Answers

Answer:

16 and 40

Step-by-step explanation:

Let the numbers be x and y

HCF is 8, so both numbers are multiples of 8 ⇒ x = 8n, y = 8m

As per property of numbers, the product of numbers is equal to product of their LCM and HCF:

xy = HCF(x,y) × LCM(x,y)

Since LCM(x,y) = 80 we have:

8×80 = xy8×80 = 8n×8m10 = nm

Possible option:

n = 2, m = 5

Then the numbers are:

x = 2*8= 16y = 5*8 = 40

Tavon has a gift card of $90 that loses $2 for each 30-day period not used. He has another gift card for $70 that loses $1.50 for each 30-day period not used. What will the value of each card be when they have equal value?

Answers

Answer:

$10

Step-by-step explanation:

Let the number of 30 day periods be x.

[tex]90-2x=70-1.5x \\ \\ 20=0.5x \\ \\ x=40[/tex]

When x=40, the value is 90-2(40)=$10.

The value of each card will be $ 10 after 40 periods, where the value of the first and second cards are equal.

Given data:

Let x represent the number of 30-day periods that have passed since the gift cards were obtained.

For the first gift card with $90 initial value and losing $2 for each 30-day period:

Value of the first card = Initial value - Loss per period * Number of periods

Value of the first card = $90 - $2 * x

For the second gift card with $70 initial value and losing $1.50 for each 30-day period:

Value of the second card = Initial value - Loss per period * Number of periods

Value of the second card = $70 - $1.50 * x

Now, to find when the two cards have equal value x:

Value of the first card = Value of the second card

$90 - $2 * x = $70 - $1.50 * x

On simplifying the equation:

$90 - $70 = $2 * x - $1.50 * x

$20 = $0.50 * x

x = $20 / $0.50

x = 40

After 40 periods of 30 days each, the two cards will have equal value.

Now, determine the value of each card at this point:

Value of the first card = $90 - $2 * 40 = $90 - $80 = $10

Value of the second card = $70 - $1.50 * 40 = $70 - $60 = $10

Hence, both cards will have a value of $10 when they have equal value after 40 periods.

To learn more about equations, refer:

https://brainly.com/question/19297665

#SPJ3

which is an equation for the line passing through the points (-3,3) and (6,9)​

Answers

Answer:

y=2/3x +5

hope this helps

Answer:

[tex] \red{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

Explanation

[tex] slope \:of \:the\: required\:\: line \implies\\\frac{9-6}{6-(-3)}=\frac{6}{9} [/tex]

[tex] equation \:of \:the\: required\:\: line\implies\:\\y - 3 = \frac{6}{9} (x + 3)[/tex]

[tex] \implies \: 9y - 27 = 6x + 18[/tex]

[tex] \implies \: 6x - 9y + 45=0[/tex]

[tex] \implies\:2x-3y+15=0[/tex]

Hence the equation of the line is

[tex] \green{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

Other Questions
10 POINTS For which equation would x = 4 be a solution?A.4x + 7 = 23B.4x 8 = 8C.8 - 5x = 1D.7 + 3x = 18 PLZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPP what is the purpose of axes in the DSM help me please I'm stuck find the value of x (9x-3) In what areas of life do teams exist? What goals do they pursue? Is dry weather best for the coffee harvest? Please answer plsss i have 20 mins only If the government sets a quota of 300 pounds of fish caught per day, then fish will sell for ________ more per pound than the cost of catching the fish. The perimeter of a rectangle is 86cm. Its shortest side has a length of 15cm. State the length of the longest side. WILL GIVE BRAINLYWhich question would be most effective at encouraging good discussion?How often did Georgia O'Keeffe work on her paintings?In which state did Georgia O'Keeffe live during the 1940s?To which famous photographer was Georgia O'Keeffe married?Why are so many people drawn to the paintings of Georgia O'Keeffe? What weakness caused Austria-Hungary to struggle in world war 1? A. Loss of leadership from the assassination of the archduke.B. Lack of strong allies.C. A historically weak army that was ineffective in battle.D. Diverse nationalities within the empire seeking independence. 8. A penny on its side moving at speed v slides off the horizontal surface of a table a vertical distance y from the floor. (a) Show that the penny lands a distance v12y/g from the base of the coffee table.(b) If the speed is 3.5 m/s and the coffee table is 0.4 m tall, show that the distance the coin lands from the base of the table is 1.0 m. (Use g = 9.8 m/s2.) A cash register must have at least $25 in change consisting of x dimes and y quarters. Write a linear inequality that represents the different numbers of dimes and quarters that can satisfy this requirement.In addition, would 150 dimes and 40 quarters satisfy this requirement? What conversion factor between cubic inches and cubic yards Pls help asap 50 points1) As she was driving to visit her twin, Jayla had a strange feeling that something bad was going to happen.(2) Meanwhile, Kayla had the same exact premonition.(3) Worried about her sister, Kayla called Jayla's cell phone.(4) Because she took her eyes off the road to answer the phone call, Jayla lost control of her car and crashed through the front of Kayla's house.With sentence features an introductory clause that explains when the main action happened? (5 points)Question 9 options:1) Sentence 12) Sentence 23) Sentence 34) Sentence 4 How many moles of Ba(NO3)2 are there in 0.25 L of a 2.00 M Ba(NO3)2 solution?Use Molarity equals StartFraction moles of solute over liters of solution EndFraction..0.13 mol0.50 mol2.25 mol8.0 mol Which point is located at (-3,-2)? HELPPPP PLZ PLZ PLZ PLZ H HELP ME HELP ME HELP ME HELP HELP MEEEE If three geometric means are insertedbetween -1 and -16, find the 3rd ofthese means? *0 -2O-4O -8O -16