What are the roots of the polynomial equation XP-7x= 6x-12? Use a graphing calculator and a system of equations.
-6,6
4, 1,3
0 -3,-1,4
o 1,3

Answers

Answer 1

Answer: option B

Step-by-step explanation:

-4, 1, 3

Answer 2

The roots of the polynomial equation x³ - 7x = 6x - 12 is given by the values x = -4 , 1 , 3

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

x³ - 7x = 6x - 12   be equation (1)

Now , it can be represented as 2 equations of the form

A = x³ - 7x   be equation (2)

And , B = 6x - 12    be equation (3)

On plotting the graphs of the two equations , we get

The point of intersection of the equations is at P ( -4 , -36 ) , Q ( 1 , -6 ) and R ( 3 , 6 )

Therefore , the x coordinates of the points are x = -4 , 1 , 3

Hence , the roots of the polynomial is x = -4 , 1 , 3

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What Are The Roots Of The Polynomial Equation XP-7x= 6x-12? Use A Graphing Calculator And A System Of

Related Questions

Solve for x.
*2 =
= 1
A)
-10
22
B)
C)
D
4.

Answers

Answer:

1+x=b;b+x=c;c+x=d;d+x=89

Step-by-step explanation:

What common side do DHB and DEB share?

A. DH
B. BD
C. EB
D. HB

Answers

Answer:

The common side is B-E.

Step-by-step explanation:

The only side that they have the same is B-E.

Please Help! I'm on a Timer!

Which method correctly solves the equation using the distributive property?

-0.2(x-4) = 1.7

Answers

Answer:

[tex] -0.2(x - 4) = - 1.7 [/tex]

[tex] -0.2x + 0.8 = - 1.7 [/tex]

[tex] -0.2x = - 2.5 [/tex]

[tex] x = 12.5 [/tex]

Step-by-step explanation:

Solving [tex] -0.2(x - 4) = - 1.7 [/tex] using the distributive property:

[tex] (-0.2)(x) + (-0.2)(-4) = - 1.7 [/tex]

[tex] -0.2x + 0.8 = - 1.7 [/tex]

Subtract 0.8 from both sides

[tex] -0.2x + 0.8 - 0.8 = - 1.7 - 0.8 [/tex]

[tex] -0.2x = - 2.5 [/tex]

Divide both sides by -0.2

[tex] \frac{-0.2x}{-0.2} = \frac{-2.5}{-0.2} [/tex]

[tex] x = 12.5 [/tex]

Manuel bought 9 pounds of apples. He has eaten 1.5 pounds so far and has $15
worth of apples left. Write and solve an equation to find the cost of the apples
per pound to the nearest dollar. How much did the apples cost per pound?
please answer quick

Answers

Answer:

$2 per pound

Step-by-step explanation:

Let the cost of apples be x

Then we have equation:

(9 - 1.5)x = 157.5x = 15x = 15/7.5x = 2

Cost of apple: $2 per pound

y = (x + 1)(x - 2)
Distribution

Answers

You have to use FOIL (First, Outer, Inner, Last) so it would be y= x^2 -2x + x -2 then combine like terms you get y= x^2 (x squared) -x -2. Hope this helps!!

Which exponential function is represented by the graph?
O f(x) = 2( 1/2 )x
O f(x) = 1/2(2)x
O f(x) = 1/2(1/2)x
Of(x) = 2(2)x
PLEASE HELP MEE!

Answers

Answer:

f(x) = [tex]\frac{1}{2}[/tex] [tex](2)^{x}[/tex]

Step-by-step explanation:

Using the standard form of the exponential function

y = a [tex]b^{x}[/tex]

To find a and b , substitute ordered pairs from the graph

Using (0, 0.5 ), then

0.5 = a[tex]b^{0}[/tex] [

a = 0.5 , so

y = [tex]\frac{1}{2}[/tex] [tex]b^{x}[/tex]

Using (1, 1) , then

1 = [tex]\frac{1}{2}[/tex][tex]b^{1}[/tex] , thus

b = 2

f(x) = [tex]\frac{1}{2}[/tex][tex](2)^{x}[/tex] ← exponential function representing graph

HELP PLEASE!!!!!!!!!!!!!!!

Answers

Answer:

x=14

Step-by-step explanation:

9x + 210 = 4x + 140

5x + 210 = 140

5x = -70

x = -14

PLEASE HELP ME
What is the simplified form of

the quantity of x plus 6, all over 3 − the quantity of x plus 2, all over 3

Answers

It is 4/3. the quantity of 4 over 3
X+6/3 - x+2/3= x+6-x-2/3 = 4/3.

Please help me!!! I don’t get this what do ever....

Answers

solve each of them and check if it equals to 15. if you need help solving then comment

Step-by-step explanation:

15÷3+10

5+10

15

=15,521÷15

=1034.73

=3015÷15-186

=201-186

=15

=20×15^2÷30

=4500÷30

=150

=2×15^2÷5-25

=450÷5-25

=90-25

=65

What is the value of (2x)° + 1​

Answers

Answer:

=2x+1

Step-by-step explanation:

I am pretty sure that is the answer

IM GIVING BRAINLIEST AND 50PTS TO SOMEONE THAT CAN ANSWER THE FOLLOWING QUESTION CORRECTLY
given the following linear function sketch the graph of the function and find the domain and range

f(x) = 2/7x - 2

i am giving brainliest to the first person that answers this and follows all the directions

Answers

Tell us the value of the variable to solve

The graph is attached btw

Answer:

Bet.

Step-by-step explanation:

Water is being pumped into a baby pool at a constant rate. At 1:30 p.m., the water depth was 1.2 feet. It is now 4:00 p.m., and the depth of the water is 2.3 feet. What will the depth (in feet) of the water be at 5:00 p.m.?​

Answers

Answer:

the dept shoudk be 3.4 because it increase by 1.1

given DE is a mid segment of triangle ABC

find the value of x and y

what is the length of AC​

Answers

Answer:

Step-by-step explanation:

(Please help asap, Thank you!)
Tides are caused by the pull of gravity by the _____ and the _____.

A. oceans
B. seas
C. sun
D. moon

Answers

Answer:

Tides are formed by the pull of gravity from both the sun and the moon so C&D would be correct

Step-by-step explanation:

How do I do this step by step?

Answers

Answer:

1. Rectangle: l(2)+w(2)

2. Triangle: side(2)+base

3. 3, 8

which of the following is a solution to

Answers

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[tex]x < - 3 \: \: \: and \: \: \: x > 4[/tex]

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The triangle in each pair are similar. Find the unknown measures.

Answers

Answer:

b=9ft a=32 degrees

Step-by-step explanation:

The triangles in each pair are similar meaning the angles will also be the same.  

18ft is 2.25x 8ft so to get b, we multiply the side that is proportionate to it, which is side 4ft

4x2.25=9ft

b=9ft

angle a is directly across from side 4ft which is proportionate to side b.

therefore, angle A is also propertionate to the angle across from side b, 32 degrees.

A piece of candy corn is in the
shape of a cone.
The height of
the candy corn is 4 centimeters
and the diameter is 2
centimeters.

Find the volume.

Answers

I think it’s eight... right?

There are 5 less oranges on the tree today than there was yesterday

Plz help

Answers

that’s all ? is there like no other explanation to make it understood better ?

The no. of apples on the tree today

= The no. of apples on the tree yesterday - 5

Let us take 'the no. of apples on the tree today' as 'x'

and 'the no. of apples on the tree today' as 'y'

Therefore, x = y - 5

Hope this is the thing u are looking for

Mrs. Callahan gave a test. 90% of the students passed the test. If 50 students took the test, how many passed

Answers

Answer:

45 students passed the test

Step-by-step explanation:

900/100x5/1=45

P= (x,y) is an arbitrary point on the circle x^2+y^2=36

1. Express the distance d from P to the point A= (8,0) as a function of the x-coordinate of P

2. What are the domain and range of this function d(x)?

Answers

Let (x,y) be an arbitrary point on the circle.

Then d = √[x-3)2 + (y-0)2] = √[x2 - 6x + 9 + y2]

Since x2 + y2 = 1, y2 = 1-x2.

So, d = √[x2 - 6x + 9 + 1 - x2]

     d = √(-6x+10)

Domain:  x is the x-coordinate of a point on the circle centered at (0,0) with radius 1.  So, -1≤x≤1.

             But, for d to be defined, we need -6x+10 ≥ 0.  So, x ≤ 5/3  (True for all x in [-1,1]).

             Domain = [-1,1]

Range:    -1 ≤ x ≤ 1   So, 6 ≥ -6x ≥ -6

                                    16 ≥ -6x+10 ≥ 4

                                     4 ≥ √(-6x+10) ≥ 2   That is, 2 ≤ d ≤4

              Range:  [2,4]

Step-by-step explanation:

A ski lodge sells 50additional ski passes for every 34inch of snow that falls overnight.Which equation describes the relationship between p, the number of ski passes sold, and s, the inches of snowfall?

Answers

Answer:

34in. of snow = +50 snow passes

+34in. of snow = +50 snow passes

Step-by-step explanation:

-6x-43-4
Which of these values of x does not make the inequality true?
A.-4
B. 0
C.7
D.2.5

Answers

Answer:

try b

Step-by-step explanation:

i think its b because anything with 0 is 0

The answer to this question is B

what monomial is equivalent to
(4x^5)^2

Answers

Answer:

16x^10

Step-by-step explanation:

Find an equation of the line through (3,5) and parallel to y = 3x -7. Write the equation using function notation
f(x)=__​

Answers

Given:

Equation of line is [tex]y=3x-7[/tex].

To find:

The equation of line which is parallel line to [tex]y=3x-7[/tex] and passes through (3,5) in function notation.

Solution:

Slope intercept form of a line is

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

where, m is slope and b is y-intercept.

On comparing the equation [tex]y=3x-7[/tex] with slope intercept form, we get

[tex]m=3[/tex]

So, slope of given line is 3.

Slope of parallel lines are same. Thus, the slope of parallel line is also 3.

Point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

The parallel line passes through (3,5) with slope 3. So, the equation of line is

[tex]y-5=3(x-3)[/tex]

[tex]y-5=3x-9[/tex]

Add 5 on both sides.

[tex]y=3x-9+5[/tex]

[tex]y=3x-4[/tex]

Function notation of this equation is

[tex]f(x)=3x-4[/tex]

Therefore, the equation equation in function notation is [tex]f(x)=3x-4[/tex].

The answer choices are -3/4, -1/2, 2/3, and 4/3.

Answers

Answer:

-3/4

Step-by-step explanation:

slope

m=y2-y1

 ----------

x2-x1

Use any two coordinates. I'll use (-4,5) and (4,-1)

-1-5

-----

4-(-4)

-6

----

8

simplified to

-3/4

Answer:

Slope= A: -3/4

Step-by-step explanation:

m² - 5m – 14 = 0
Please help me to solve this quadratic equation.
Don't answer if you don't know.​

Answers

Answer:

The answer is m=-2 or m=7.

Step-by-step explanation:

The steps to solve this equation are below:

Factor: to get (m+2)(m−7)=0.

m+2=0 or m−7=0

m=−2 or m=7. So, your answer is m=-2 or m=7.

Answer:

m = 7

m = -2

Step-by-step explanation:

ax^2 + bx + c

1m^2 - 5m - 14

a = 1

b = -5

c = -14

-b ± √b^2 - 4ac/2a

-(-5) ± √(-5)^2 - 4(1)(-14)/2(1)

5 ± √25 + 56/2

5 ± √81/2

5 ± 9/2

5 + 9/2

14/2 = 7

5 - 9/2

-4/2 = -2

help me plss ;-; ASAP :( I WILL GIVING BRAINLEIST​

Answers

Step-by-step explanation:

1. E

2. D

3. G

4. H

5. F

6. C

7. B

8. J

9. A

10. I

this is the correct answer

mark me as brainleist

Convert to exponential form

Answers

Answer:

i got 27

Step-by-step explanation:

can someone help me with this?

Answers

Answer:

The answer should be for because the triangles are SSA. and SSA is not congruent

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