One factor of the function f(x) = x ^ 3 - 9x ^ 2 + 20x - 12 is (x - 6) Describe how to find the x- intercepts and the y-intercept of the graph f(x) without using Show your work and include all intercepts in your answer

Answers

Answer 1

Answer:

Therefore, the y-intercept is (-12, 0)


Related Questions

Which can be represented as set of ordered pairs?
A. Expression
B. Relation
C. Equation
D. All of the choices

Answers

D. All of the choices.

Answer:

D.All of the choice

Step-by-step explanation:

D.All of the choice

If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of when x is 11?

Answers

Answer:

 [tex]\frac{18}{5}[/tex] (11)

Step-by-step explanation:

If it varies directly, you need to find k, the constant of proportionality.

This is done by plugging the values in for x & y that are known.

y = kx

18 = k(5)

[tex]\frac{18}{5}[/tex] = k

Now solve for y  when x is 11.

y = [tex]\frac{18}{5}[/tex] (11)

y = 39.6

the vate rate of a country is 15% ,a woman bought an item with a price tag ghc 300 plus vat .what price did she pay for the item. ​

Answers

Answer:

i think 345 if not sorry

Step-by-step explanation:

disributivity of multiplication over addition for rational numbers solve : -3/4 , 2/3 and -5/6 = 1/8 ? how ?​

Answers

The distributive property of multiplication over addition for rational numbers is (a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]

Complete question

Which of the following is an example of distributive property of multiplication over addition for rational numbers

(a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]

(b) -3/4 × {2/3 + (-5/6)} = [3/4 × 2/3] - (-5/6)

(c) -3/4 × {2/3 + (-5/6)} = 2/3 + (-3/4) × -5/6

(d) -3/4 × {2/3 + (-5/6)} = {2/3 + (-5/6)} - 3/4

How to determine the correct distributive property?

The distributive property of multiplication states that:

a * (b + c) = (a * b) + (a * c)

From the given question, we have:

-3/4 × {2/3 + (-5/6)}

This means that:

a = -3/4

b = 2/3

c = -5/6

Recall that a * (b + c) = (a * b) + (a * c)

So, we have:

-3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]

Hence, the distributive property of multiplication over addition for rational numbers is (a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]

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PLEASE I NEED THE ANSWER QUICKLY
1. A local newspaper charges $42 per half-page advertisement and $86 per full-page advertisement. Kathryn has a budget of $1192 to purchase 20 advertisements.
(a) Define a variable for each unknown.
Write a system of equations to represent the situation.
(b) How many full-page advertisements does Kathryn purchase?
Show your work.
(c) How many half-page advertisements does Kathryn purchase?
Show your work.

Answers

Answer:

x = 12 half page advertisements

y = 8 full page advertisements

Step-by-step explanation:

42x + 86y = 1192

x + y = 20

y = 20 - x

Input (20-x) as y into the first equation

42x + 86(20-x)=1192

42x + 1720 - 86x = 1192

(42x - 86x) 1720 -1720= 1192-1720

-44x = -528

x = 12

12 + y = 20

y=8

a. 'x' represents half page advertisement and 'y' represents full page advertisement.

System of equation is given by 42x + 86y = 1192 , x + y =20.

b. Number of full page advertisement  Kathryn purchase is equals to 8.

c.  Number of half page advertisement  Kathryn purchase is equals to 12.

What is system of equation?

" System of equation is defined as the finite set of equations for which we find a common solution."

According to the question,

Cost of half page advertisement = $42

Cost of full page advertisement = $86

Number of advertisement Kathryn could purchase = 20

Total budget of Kathryn to purchase advertisement = $1192

'x' represents half page advertisement

'y' represents full page advertisement

As per the situation given system of equation we have,

42x + 86y = 1192                                 ______(1)

x + y = 20                        

x = 20 - y                                             _____(2)

Substitute the value of 'x' from  system of equation (2) in (1) we get,

[tex]42( 20 -y) +86y =1192\\\\\implies 840 - 42y +86y =1192\\\\\implies 44y = 1192-840\\\\\implies y = \frac{352}{44}\\ \\\implies y =8[/tex]

Substitute the value of y in (2) to get 'x' ,

[tex]x=20-8[/tex]

  = 12

Hence,

a. 'x' represents half page advertisement and 'y' represents full page advertisement.

System of equation is given by 42x + 86y = 1192 , x + y =20.

b. Number of full page advertisement  Kathryn purchase is equals to 8.

c.  Number of half page advertisement  Kathryn purchase is equals to 12.

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If the function f' has a continuous derivative on [0, c] then integral from 0 to c f"(x)dx=​

Answers

The result follows from the fundamental theorem of calculus. Since [tex]f''(x)[/tex] is the derivative of [tex]f'(x)[/tex], we have

[tex]\displaystyle \int_0^c f''(x) \, dx = \boxed{f'(c) - f'(0)}[/tex]

(E)

Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k. 3 1/3 -1/3 −3

Answers

This is about interpretation of graphs.

Option C is correct.

From the graph, we can see the 2 lines representing function f(x) and function g(x).

Now for us to find the value of x in g(x) = k⋅f(x), we need get a mutual x-coordinate where we can easily read their respective y-coordinate values.

We see that the best point for that is where x = -3.

For f(x), when x = -3, y = 1

For g(x), when x = -3, y = -3

we can rewrite them as;

x = -3, f(-3) = 1 and x = -3, g(-3) = -3

Let us plug in the relevant values into g(x) = k⋅f(x) to get;

-3 = k(1)

Thus; k = -1/3

What is the value of m, when 2⁶ x 4 = 418​

Answers

Answer:

The answer should be 3.3/4

Step-by-step explanation:

How many 1/4 minutes are there in 3/4 minutes?

Answers

Answer: 3

Step-by-step explanation:

[tex]\frac{\frac{3}{4}}{\frac{1}{4} }=3[/tex]

Which of the following values are in the range of the function graphed below?
Check all that apply.
first answer gets brainliest need asap!!!

Answers

Answer:

1

Step-by-step explanation:

Although you did not give me the answer choices, I believe that the only possible answer is 1 because the only y value the graph is on is 1.

How would you describe the red paths pictured below? ( The picture above)


A. Perpendicular

B. None are correct

C. Parallel

D. Intersecting

Answers

Answer:

perpendicular

Step-by-step explanation:

A. Perpendicular :)

yw

Is y = 3 the solution to
3y + 10 = -5y – 14

Answers

Answer:

No, the solution is -3.

Step-by-step explanation:

3y+10=-5y-14

We move all terms to the left:

3y+10-(-5y-14)=0

We get rid of parentheses

3y+5y+14+10=0

We add all the numbers together, and all the variables

8y+24=0

We move all terms containing y to the left, all other terms to the right

8y=-24

y=-24/8

y=-3

Answer:

y = - 3

Step-by-step explanation:

3y + 10 = - 5y - 14 ( add 5y to both sides )

8y + 10 = - 14 ( subtract 10 from both sides )

8y = - 24 ( divide both sides by 8 )

y = - 3

(28÷4)+3+6x5


tell accordingly the correct answer will be marked as brainliest answer

Answers

The answer to this expression is 40. Why? Well, we can use PEMDAS in this expression.

P: Parenthesis

So this is our first step:

28 / 4 = 7

Next step: Simplify.

7 + 3 + 6 x 5

Then: E stands for Exponents but we have none so we can move on.

M stands for Multiply so we have our next step:

6 x 5 = 30

Now: Simplify.

7 + 3 + 30

Now that we have a simple equation, we can add the values to get our answer.

7 + 3 = 10
10 + 30 = 40

Therefore, your answer is 40. Whenever you see problems like this, be sure to use PEMDAS for a faster and more accurate evaluation.


Your final answer: 40.

Please help worth my math

Answers

a)QM and PM

b)QMN and NMQ

c)M

the sum invested in CI becomes ₹ 2420 in 2 years and ₹ 2662 in 3 years. Find the sum and rate of interest. ​

Answers

Answer:

equate two simultaneous equations for r and solve


someone help me get outta summer school slope? And y intercept?

Answers

Okay bud I’m not sure how about it or what if we are all the good ones you have that to me and my brother wants to go buy a new one and then go back to church class today or what do you want it to be in a big deal if we can get some stuff done then I’ll do the work I have for that you don’t want to me I don’t know how you want it I know but it’s like I don’t know why I’m not

simplify to create an equivalent expression "-4(-11+4n)-3(-2n+9)"

Answers

The expression -4 (-11 + 4n) – 3(- 2n + 9) is equivalent to the expression 17 — 10n.

What is an equivalent expression?

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

⇒ -4 (-11 + 4n) – 3(- 2n + 9)

On simplifying, we have

⇒ 44 – 16n + 6n – 27

⇒ 17 — 10n

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im always having problems with this i need someone to explain please

Answers

For every meter there are 3.281 feet. The perimeter of the yard is 188ft. Divide 188 by 3.281 and you get 57.3 (rounded to 1dp). Round that up to the nearest meter and you get 58. So, Mr Smith needs 58 meters of fencing for his yard.

You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 40 km south and 113 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?

Answers

5.12 minutes ≈ 5 minutes 7.2 seconds

What is Distance?

Distance. The length along a line or line segment between two points on the line or line segment.

Here, The flight path of the airplane is along the line ...

y = -125/135x = -25/27x

The perpendicular line through Mt. Rainier's location is ...

 y = 27/25(x -56) -40

In standard form, these two equations are ...

25x +27y = 0

27x -25y = 2512

The point of closest approach has the coordinates that are the solution to these two equations:

(x, y) = (33912/677, 31400/677)

The distance d from the origin to this point is given by the Pythagorean theorem (distance formula) as ...

d = 1256√(2/677) . . . . . km

This distance can be converted to time using the speed of the airplane:

1256√(2/677) X 60/800 =  94.2√(2/677) ≈ 5.120019 mins

Thus, 5.12 minutes after departing JBLM you will be closest to Mt. Rainier.

The attached graph shows the geometry of the problem.

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Hey guys- need help here. Topic- exponents.

Answers

Your answer is m= -12

How could you solve this problem?
2 × 3 × 4
Check all that are true.

Multiply 3 × 4 to get 12 and then multiply 12 × 6.

Multiply 2 × 3 to get 6 and then multiply 6 × 12.

Multiply 3 × 4 to get 12 and then multiply 12 × 2.

Multiply 2 × 3 to get 6 and then multiply 6 × 4.

Multiply 2 × 3 to get 6, multiply 3 × 4 to get 12, and then multiply 6 × 12.

Answers

2x3x4 = 24 so the only statements that are correct are the 3rd and 4th ones as they are the only ones that equal 24.

Step-by-step explanation:

multiply 2×3 to get 6 and then multiply 6×4

or

multiply 3×4 to get 12 and then multiply 12×2

in exponential growth functions. the base of the exponent must be greater than 1? how would the function change if the base of the exponent were between 0 and 1?

Answers

The function would become an exponential decay function.

need help asap! QUESTION BELOW

Answers

The IQR for male data is 10, the estimated difference between medians is 2, the box plot for males is symmetric and for females, the box plot is left side skewed.

What is the box and whisker plot?

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

From the box plot:

Part A:

IQR for males data:

IQR = Q3 - Q1

The estimated value of Q3 is 15 (between 10 and 20)

The estimated value of Q1 is 5 (between 0 and 10)

IQR = 15 -5 = 10

Part B:

= Median(male) - Median(femal)

= 10 - 8

= 2

Part C:

The box plot for males is symmetric and for females, the box plot is left side skewed.

Part D:

There can be holidays for the outliers

Thus, the IQR for male data is 10, estimated difference between medians is 2, the box plot for males is symmetric and for females, the box plot is left side skewed.

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Find the coordinates of the midpoint of the segment whose endpoints are given W (-3,-7) and X (-8,4)

1. (-11/2) -(11/2)
2.(-5/2)-(3/2)
3.(-5/2-(11/2)

Answers

The coordinates of the midpoint of the segment whose endpoints are W (-3,-7) and X (-8,4) will be (-11/2, -3/2). Then the correct option is D.

The complete options are given below.

1. (-11/2) -(11/2)

2.(-5/2)-(3/2)

3.(-5/2-(11/2)

4. (-11/2) -(-3/2)

What is the midpoint of line segment AB?

Let C be the mid-point of the line segment AB.

A = (x₁, y₁)

B = (x₂, y₂)

C = (x, y)

Then the midpoint will be

x = (x₁ + x₂) / 2

y = (y₁ + y₂) / 2

The end points are given below.

(-3, -7) and (-8, 4)

We have

(x₁, y₁) = (-3, -7)

(x₂, y₂) = (-8, 4)

Then the mid-point will be

x = (- 3 - 8) / 2

x = -11 / 2

y = (-7 + 4) / 2

y = -3/2

Then the coordinates of the midpoint of the segment whose endpoints are W (-3,-7) and X (-8,4) will be (-11/2, -3/2).

Then the correct option is D.

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Jack is reading a book. In ¾ of an hour, he finished 66 pages. If he keeps reading at the same rate, how many total pages will Jack read in one hour?

Answers

The answer is 154 1.54x10^2

If a₁ = 4 and an = 5an-1 then find the value of a5.

Answers

The value of [tex]a_{5}[/tex] is 2500, when [tex]a_{1}=4[/tex] and [tex]5a_{n-1}[/tex].

Given that, [tex]a_{1}=4[/tex] and [tex]5a_{n-1}[/tex].

We need to find the value of [tex]a_{5}[/tex].

What is an arithmetic sequence?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Now, to find the value of [tex]a_{5}[/tex] :

[tex]a_{2} =5a_{2-1}=5a_{1}=5 \times4=20[/tex]

[tex]a_{3} =5a_{3-1}=5a_{2}=5 \times20=100[/tex]

[tex]a_{4} =5a_{4-1}=5a_{3}=5 \times100=500[/tex]

[tex]a_{5} =5a_{5-1}=5a_{4}=5 \times500=2500[/tex]

Therefore, the value of [tex]a_{5}[/tex] is 2500.

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Gavin and Mark have played 28 tennis matches.
Gavin has won 17 times.
Mark won the rest.
a) Estimate the probability that Gavin wins.
b) Estimate the probability that Mark wins.
OP(Gavin wins)=
P(Mark wins)=

Answers

Gavin wins cause Mark has 11 wins

Josie needs to rent a car from SureRide Car Rentals. The cost of renting a car iS a
one-time fee of $80 plus $0.75 per mile. Write and graph an equation to represent
pay tO rent a car a from SureRide.
the cost which Josie must

Answers

Answer: y = 0.75x + 80

Step-by-step explanation:

let x = 1 mile

y = 0.75x + 80

Circle O has a circumference of approximately 44 in.
----d
O
Mark this and return
What is the approximate length of the diameter, d?
O 7 in.
O 14 in.
O 22 in.
O
44 in.
Save and Exit
xt
Submit

Answers

The answe is 14 inches

a= help me please thank u​

Answers

Step-by-step explanation:

the circumference of a whole circle is

2×pi×r

with r being the radius. which is in our case a.

so,

2×pi×a

the part arc of just a sector of the circle is just the angle/360 part (as the whole circle is 360°).

we therefore know

27×pi = 2×pi×a × 60/360 = 2×pi×a × 1/6 = pi×a × 1/3

3×27×pi = pi×a

81×pi = pi×a

a = 81

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