Factor the polynomial f (x) = x3 – 19x + 30 if x – 3 is a factor.

Answers

Answer 1

Answer:

Step-by-step explanation

By Using Synthetic Division Method:

3                   1    0    -19    30

                          3      9    -30

                    1     3    -10    0

factorise: (x^2+3x-10)(x-3)

                =(x+5)(x-2)(x-3)

Answer 2

Answer:

ITs B on edge

Step-by-step explanation:

cause i said so cuzzzz


Related Questions

;-; help pleaseeeeee e e e

Answers

Answer:

B

Step-by-step explanation:

Because,

t= the amount of money

w= weeks

+ the 15 when she washed the car

Is this a function? Yes or No?!

{(1, 14), (2, 28), (3, 42), (4, 52), 5, 52)}

Answers

Answer:

Yes

Step-by-step explanation:

This is a function because each x value is given one y value. More simply, no x value was repeated.

1/3+ 1/8 show your work a with equation
please hurry ​

Answers

Answer: 11/21

Step-by-step explanation:

Answer:

11/24 or 0.453

Step-by-step explanation:

1/3 + 1/8

1/3 × 8/8 = 8/24

1/8 × 3/3 = 3/24

8/24 + 3/24 = 11/24

the opposite of 5x and 5x+8?

Answers

the opposite or addictive increase of 5x is -5x.

the opposite or addictive increase of 5x + 8 is -5x -8.

Answer:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x5+85 f - 1 ( x ) = x 5 + 8 5 is the inverse of f(x)=5x−8 f ( x ) = 5 x - 8 .

A band earned $550.00 for playing at a concert. Their manager takes 15% of the money earned for each show and the band is donating 20% of the money earned to charity. How much money is left for the band to split?

Answers

Answer:

The amount of the money earned left for the band to split is $357.5

Step-by-step explanation:

The amount the band earned for playing at the concert = $550.00

The percentage of the money earned taken by the manager = 15%

The percentage of the money earned the band is donating to charity = 20%

The amount of the money earned the manager takes = 15/100 × 550 = 82.5

∴ The amount of the money earned the manager takes = $82.5

The amount of the money earned that is donated to charity = 20/100 × 550 = 110

∴ The amount of the money earned that is donated to charity = $110

The amount of the money earned left for the band to split = $550 - $82.5 - $110 = $357.5.

can someone please answer this

Answers

Answer:

y = -0.6x + 24.6

Step-by-step explanation:

A password is 4 characters long, consisting of 2 letters and 2 numbers. The password must begin and end with a
letter. If numbers can be repeated but letters cannot, how many possibilities are there?
a. 65,000
b. 60,840
c. 58,500
d. 52,650

Answers

Answer:

a.

65,000

Step-by-step explanation:

There are 65000 possibilities of 4 character-password

What is a password?

A password is a security code that is used for verifying identities

The password has 4 characters.

The password must begin and end with a letter.

So the selections are:

First = 26

Last = 25

The other selections are:

Second = 10 digits

Third = 10 digits

So, the number of password is:

Password = 26 * 10 * 10 * 25

Evaluate

Password = 65000

Hence, there are 65000 possibilities of 4 character-password

Read more about arrangements at:

https://brainly.com/question/6032811

PLEASE HELP ME ASAP!!!! My entire grade depends on these questions and I need to show the work that go me there
I know it is a long one, but I am giving away all of my points!!! I know most of the answers, but for all exept the graphing questions the work needs to be shown!
Consider the quadratic function.
f(x)=-(x+4) (x-1)
(a) What are the x-intercepts and y-intercept?
(b) What is the equation of the axis of symmetry?
(c) What are the coordinates of the vertex?
(d) Graph the function on the coordinate plane. Include the axis of symmetry.


Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the
development of a recreational park on the west side of town. A community action group interested in
preserving the environment claims that 45% of the town’s residents favor the development of a recreational
park.
To determine whether the sample supports the population proportion, a simulation of 100 trials is run, each
with a sample of 200, using the point estimate of the population. The minimum sample proportion from the
simulation is 0.46 and the maximum sample proportion is 0.76.
(a) What is the point estimate of the population?
(b) The margin of error of the population proportion is found using an estimate of the standard deviation.
What is the interval estimate of the true population proportion?
(c) The margin of error of the population proportion is found using the half the range.
What is the interval estimate of the true population proportion?
(d) Is the community action group’s claim likely based on either interval estimate of the true population
proportion? Explain.

Solve the system of equations. Show your work.
y=x^2-3x+4
x+y=4

Answers

Answer:

Answers are in bold

Step-by-step explanation:

Part 1A

Use the Zero Product Property to find the x-intercepts:

0=-(x+4)(x-1)

0=(x+4)(x-1)

0=(x+4)

-4=x

x=-4

0=(x-1)

1=x

x=1

So the x-intercepts are x=-4 and x=1 which is also (-4,0) and (1,0)

For the y-intercepts, plug in x=0:

f(x)=-(0+4)(0-1)

f(x)=(-4)(-1)

f(x)=4

So the y-intercept is y=4 which is also (0,4)

Part 1B

In general, the axis of symmetry is equal to x=h in the equation y=(x-h)^2+k

For a parabola, the axis of symmetry is equal to x=-b/2a, so we expand the given equation and then plug in the values of "a" and "b" to get the axis of symmetry:

f(x)=-(x+4)(x-1)

f(x)=-(x^2+3x-4)

f(x)=-x^2-3x+4

So now we know a=-1 and b=-3, therefore we can plug them in:

x=-b/2a

x=-(-3)/2(-1)

x=3/-2

x=-3/2

x=-1.5

So the equation of the axis of symmetry is x=-1.5

Part 1C

We'll use the equation x=-b/2a to get the x-coordinate for the vertex (which we already know is x=-1.5), then plug in that value of x in the original equation to get the y-coordinate for the vertex:

f(x)=-(-1.5+4)(-1.5+1)

f(x)=-(2.5)(-0.5)

f(x)=-(-1.25)

f(x)=1.25 <-- y-coordinate

So the coordinates of the vertex are (-1.5,1.25)

Part 1D

See the image below

I'll let someone else do the last 4 questions as I am unable to answer them.

what is the slope for (-11, 1) and (-2, 6)?

Answers

Answer:

5/9

Step-by-step explanation:

You can verify me by using the y2-y1/x2-x1 formula

A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot

Answers

Answer:

20.62 feet

Step-by-step explanation:

The ladder propped against a building forms a right angle triangle

Height of the ladder (hypotenuse) = 21 feet

Base of the ladder from the building (adjacent) = 4 feet

Height of the building (opposite) = x feet

Hypotenuse ² = opposite ² + adjacent ²

21² = x² + 4²

21² - 4² = x²

441 - 16 = x²

425 = x²

x = √425

= 20.62 feet

Answer: 20.62 ft or rounding it to 20.6 ft

Step-by-step explanation:

zora recently got an afterschool job to save money to buy a car. She opened a savings account and deposits a fixed amount each week so that she can quickly meet her savings goal. The table below shows the relationship.

Answers

Answer:

40

Step-by-step explanation:

The initial value of the function is 40, which represents the amount of money she deposits each week

At one gas station, gas costs $2.75 per gallon. Complete the equation that relates the total cost, C, to the number of gallons of gas purchased, g.



C = __

Answers

Answer:

C = 2.75

Step-by-step explanation:

it does not tell how much there for it is 1 gallon

What is the slope of the line that passes through the points M (4,-5) and N (0, -8)?

A.) -3/4
B.) 13/4
C.) -4/3
D.) 3/4​

Answers

Answer:

D. 3/4

Step-by-step explanation:

using the y2-y1/x2-x1 to find the slop: -8--5/0-4 = 3/4

Answer:D

yee

Step-by-step explanation:

The height of a firework shot upward from the ground with the initial velocity of 10meters per second is represented by the function h(t) = - 16t2 + 4t How long did it take the firework to reach the ground

Answers

Answer:

0.375 seconds

Step-by-step explanation:

In simple terms, to find the time it took to reach the ground, we need to find t from the equation.

If we differentiate h with respect to t we will get the velocity with which the fireworks is moving at.

[tex]h(t) = - 16t^2 + 4t.\\dh/dt =-32t +4[/tex]

We can now equate this to its velocity and solve for t

10 = -32t +4

t = 0.1875 ( time cannot be negative in value, so we ignore the negative sign)

Therefore, the time it took the fireworks to reach the ground is = 2 x 0.1875= 0.375 seconds.

(We need to account for the fact that the fireworks went up and came down)

I need help please ​

Answers

Answer: SAS

Explanation: There are two sides that are congruent and there is one vertical angle between them which are always congruent.

help plz brainliest to best answer​

Answers

Answer: -1/27

Step-by-step explanation:

Answer:

-1/27

Step-by-step explanation:

Here are the instruction plz help asap
Part 1
You will need to measure five different people. Record your measurements on a piece of paper. Using a tape measure or ruler, measure the length (in inches) of a person’s left foot and then measure the length (in inches) of that same person’s forearm (between their wrist and elbow). Refer to the diagrams below. You will have two measurements for each person.

(An easy way to measure the length of a foot is to have your subject stand on a piece of paper. Then, trace their foot and measure the outline once they move off the paper.)

To measure the forearm, measure inside the arm, between the wrist and the elbow.




Part 2
Organize your data and find the rate of change.

Create a table of the measurements for your data. Label the forearm measurements as your input and the foot measurements as your output.

Select two sets of points and find the rate of change for your data.

Describe your results. If you had to express this relation as a verbal statement, how would you describe it?
Part 3
Compare rates of change.

The equation below can be used to find the length of a foot or forearm when you know one or the other.

(length of the foot) = 0.860 • (length of the forearm) + 3.302

If you let y = length of the foot and x = length of the forearm, this equation can be simplified to
y = 0.860x + 3.302.

Using this equation, how long would the foot of a person be if his forearm was 17 inches long?

What is the rate of change of the equation from Part A?

Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?

Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer.
For this option you will submit the details from all three parts. Submit your measurements, the table, and description that you created in Parts 1 and 2. Submit your answers to the questions from Part 3.

Answers

Answer:

again please don't just straight up copy it just use it as a base please also i tried my best and don't know if i got it right

Step-by-step explanation:

Part 2

Organize your data and find the rate of change.

I’m sorry i didn’t know how to make a table so i just did this  

Person number 1- Left foot is 9 inches Forearm is 8.5 inches

Person number 2- Left foot is 7.5 inches Forearm is 7 inches

Person number 3- Left foot  is 11 inches Forearm is 10.5 inches

Person number 4- Left foot: is 10 inches Forearm is 9.5 inches

Person number 5- Left foot  is 6 inches Forearm is 5.5 inches

The rate of change equals y=x-0.5

I believe that it's a function because there is a relationship between 2 variables.

Part 3

Compare rates of change.

The equation below can be used to find the length of a foot or forearm when you know one or the other.  

(length of the foot) = 0.860 • (length of the forearm) + 3.302

If you let y = length of the foot and x = length of the forearm, this equation can be simplified to

y = 0.860x + 3.302.  

Using this equation, how long would the foot of a person be if his forearm was 17 inches long?

i don’t know how to type all my formulas and work so i'm just going to say the answer i got the rate of change = 0.86x or y=0.86x+3.302  

What is the rate of change of the equation from Part A?

For Part A i got y=x-0.5 and that part A has the greater rate of change.

 

Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?

Well, the values have to be different because there are different rates of change and different linear coefficients; and also each input value will result in a different output value because they all have different parameters as well.  

Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer.

Yes, it is a function because each input from part A fits well together with the output on the other set, which matches the definition of a function.

 

Answer:

11.9

Step-by-step explanation:


Pleaseee helpppp!!!!! I keep getting this answer wrong on the test :(

Answers

Next time study more! I know its hard but you can do it keep trying ur best :)

What is the sum of the exterior angles, one at each vertex, of any polygon?

Answers

Answer:

Polygon Exterior Angle Sum Theorem. If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .

Simplify the following equation (2^3)^-2

Answers

Multiply the exponents
3 * -2 = -6
It would be 2^-6
Format: a^-b = 1/a^b
1/2^6 = 1/64
The solution is 1/64

Find the perimeter of the shaded region of this composite figure. ​

Answers

Answer:

perimeter of shaded region:

area of rectangle- area of semicircle

l×b‐(pie r²) diameter of circle‐6m; Radius‐3

8×6‐(3.14×3×3)

42— 28.26=13.74m

HOPE IT WILL HELP YOU

Does anyone else need to do Ed.genuity?

Answers

No, if you don’t mind what is that?

solve for c

solve for r

Answers

Answer:

Step-by-step explanation:

9(c+7)=27

9c+63=27  subtract 63 from both sides

9c=  -36  divide by 9

c= -4

3(2r-8)+4r=76 foil

6r-24+4r=76 combine like terms

10r-24=76 add 24 to both sides

10r+100  divide by 10

r= 10

17q=476 Solve for q​

Answers

Answer: The answer is q = 28.

Divide 6 divided by 3/5


Answer only if u know please:)

Answers

Answer:

The answer is 10 or 10/1

What is the initial value in this question y=8x+6 8 or 6?

Answers

Answer:

it should be an 8

Step-by-step explanation:

The initial value in this question y = 8x+6 will be 8 .

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The equation is given as;

y = 8x+6

We can see that the equation contains two terms that are 8x and 6.

The initial value is the first number of the first term in the equation.

Here, the first term is 8x.

Hence, the initial value in this question y = 8x+6 will be 8 .

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

A model car is built to a scale of 1 in. : 2.5 ft. If the model is 5.8 in. Long how long is the car in real life?

Answers

Answer:

14.5 ft

Step-by-step explanation:

We are told that the model car is built to a scale of 1 in. : 2.5 ft.

That means 1 inches represents 2.5 ft in actual measurement.

Thus, for a 5.8 inch long model, the real life measurement is;

(5.8 inch × 2.5 ft)/1 inch = 14.5 ft

30 cents in each dollar is a paid tax. what fraction is paid in tax? what percentage is not paid in tax?please i need an answer within 10 minutes I'm In an exam ​

Answers

Answer:

30 cents of a dollar is 30% tax paid and 70% not paid.

A dollar is 100 cents.

Step-by-step explanation:

Jacob made $45.50 selling lemonade. He wants to make 15% more the next time he sells his lemonade. How much money does Jacob want to make?
PLEASE HELP!! FREE BRAINLY!! QUICK!

Answers

It’s would be 52.32

how to find an opposite ray?

Answers

Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (QA and QB in the figure above) form a single straight line through the common endpoint Q. When the two rays are opposite, the points A,Q and B are collinear.

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