Mathematics College

f(x)=-3x^2-6x

Find f(−9)

Answers

Answer 1

Answer:

f(-9)= -189

Step-by-step explanation:

f(-9)= -3(-9)^2-6(-9)

f(-9)= -3(-9)^2 +54

f(-9)= -3(81) +54

f(-9)= -243 + 54

f(-9)= -189

Answer 2

[tex]f(-9)[/tex] is [tex]-189[/tex]

What is function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.

According to question, we have the function [tex]f(x)=-3x^2-6x[/tex]

We have to find [tex]f(-9)[/tex]

So, [tex]f(-9)=-3[/tex]×[tex](-9)^{2}[/tex][tex]-6(-9)[/tex]

[tex]=-243+54[/tex]

[tex]=-189[/tex]

Hence, we can conclude that [tex]f(-9)[/tex] is [tex]-189[/tex]

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Related Questions

If the sum of three consecutive numbers is 1998, what is the first one?

Answers

Answer:

666

Step-by-step explanation:

Because I said so.

15/16 pi radians in degrees

Answers

Answer:

960 degrees

Step-by-step explanation:

16pi/3 times 180/pi

16/3 times 180

16 times 60= 960

hope this helps!!

Answer:

168

Step-by-step explanation:

e2020

can someone please help? i need to find the slope of a line. it’s for a test!

Answers

Answer:

Step-by-step explanation: To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Answer:

The slope is 2/3

Step-by-step explanation:

The equation that the graph gives us is y = 2/3x + 3.

With this equation, we know that the slope is 2/3.

Bonus:

With this equation, we also know that the y-intercept is 3.

Write in slope intercept form:
(-3,7) and (6,-8)

Answers

Answer:

[tex]y=-\frac{5}{3}x+2[/tex]

Step-by-step explanation:

So we are given 2 points, (-3, 7) and (6, -8), and we are asked to write it in slope-intercept form. To do this, lets first find the slope. To find the slope, we can use the slope formula.

The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where m is the slope and (x₁, y₁) and (x₂, y₂) are points.

Lets plug in (-3, 7) for (x₁, y₁) and (6, -8) for (x₂, y₂).

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-8-7}{6-(-3)}=\frac{-15}{9}=-\frac{5}{3}[/tex]

So now we have found the slope. Lets plug in the slope and one of the points into the equation for point-slope form and then solve for slope-intercept form. I am going to use the point (-3, 7).

[tex]y-7=-\frac{5}{3}(x-(-3))[/tex]

Distribute the -5/3 on the right side.

[tex]y-7=-\frac{5}{3}x-5[/tex]

Add 7 to both sides.

[tex]y=-\frac{5}{3}x+2[/tex]

And now we have the equation in slope-intercept form.

I hope you find my answer and explanation to be helpful. Happy studying.

y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given two points are (-3,7) and (6,-8)

m=-8-7/6-(-3)

m=-15/6+3=-15/9

m=-5/3

Now let us find the y intercept b.

7=-5/3(-3)+b

7=5+b

b=7-5

b=2

The y intercept is 2, Now plug in m and b values in slope intercept form to find the equation of line passing through (-3,7) and (6,-8)

y=-5/3x+2

Hence y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)

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If points A,B and C are collinear, determine the value of x in the diagram.

Answers

Answer:

x equal four-teen... I'm pretty sure brainliest plsss

Determine whether the following graph represents a function.

PLZ HELP!! the picture is above

Answers

Answer:

yes it is a function

Step-by-step explanation:

The answer to your question is yess .

A researcher wants to know how undergraduate college students at her university feel about a list of 1196 undergraduate college students at her university, selects 500 of them at random, and emails a questionnaire to them 107 questionnaires are returned. Of these, 71% stated that they believe that the federal student loan program needs to be completely overhauled. Classify the following groups as the population or the sample for this particular study. If a group does not belong in either category, leave it unplaced.
Population
all undergraduate college students all researcher's university
the 1196 undergraduate college students whose names were obtained
the proportion of all undergraduate college students at the researcher's university who believe that the federal student loan program needs to be completely overhauled
Sample
the 500 undergraduate college students who were randomly choosen
the 71% who stated that the federal student loan program needs to be completely overhauled

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

Population

All undergraduate college students at the researcher's university ,

Sample

The 107 undergraduate college students who returned the questionnaire

Step-by-step explanation:

From the question we are told that

The list of undergraduate college students obtained from her university is n= 1196

The number of student that are randomly selected is n = 500

The number of e-mail that was returned is k = 107

The proportion that believes that the federal student loan program needs to be completely overhauled is [tex]\^{p} = 0.71[/tex]

Generally the population for this particular study is

All undergraduate college students at the researcher's university ,

this is because they are the total pool of data from which the statistical sample are randomly selected from

Generally the sample for this particular study is

The 107 undergraduate college students who returned the questionnaire

this is because this data provides us with an insight on the perspective of all undergraduate college students at the researcher's university about federal financial aid

Which pair of numbers has the greatest common factor of 3?

3 and 12
3 and 33
4 and 9
9 and 12

Answers

Answer: 9 and 12

Step-by-step explanation:

Answer:

9 and 12

I HOPE IT WILL HELP YOU?:-)

Daniel has to carry 32 boxes to his room. He can
carry 4 boxes on each trip. How many trips will
Daniel take? Show your work?

Answers

32 divided by 4= 8
So 8 trips in total

Daniel will take 8 trips.

What is division?

The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.

Now it is given that,

Number of boxes = 32

Number of boxes can be carried in each trip = 4

So, Number of trips = Number of boxes / Number of boxes can be carried in each trip

⇒ Number of trips = 32/4

⇒ Number of trips = 8

this is the required number of trips Daniel will take.

Thus, Daniel will take 8 trips.

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quick easy math question please help write in fraction form brainliest will be awarded :)))

- [tex]\frac{5}{8}[/tex] + [tex]\frac{3}{4}[/tex]

Answers

Answer:

- 5/8 + 3/4 = 1/8

Step-by-step explanation:

Answer:

A: 45

B: 110

C: 25

Step-by-step explanation:

all angles of a triangle always add together to make 180

x + 25 + x + 65 = 180

combine like terms

2x + 90 = 180

subtract 90 from both sides of the equation

2x = 180 - 90

divide both sides of the equation by 2

x = 90/2

x = 45

South America's greatest river system is the ___________.

Mississippi-Missouri
Nile
Amazon
Rhine

Answers

Answer:

amazon

Step-by-step explanation:

its the biggest

Amazon is the answer :)

A truck requires 1 gallon of gas to cover a distance of 10 miles. How many gallons of gas will it take to cover 200 miles?

Answer:

answer is 1

Step-by-step explanation:

just did test on edge

The value of cos(tan^-1(0)) is 1. Therefore, option C is the correct answer.

We need to find the value of cos(tan^-1(0)).

What are the trigonometric ratios?

In mathematics, trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Now, cos(tan^-1(0))

⇒tan^-1(0)=0

⇒cos(0)=1

The value of cos(tan^-1(0)) is 1. Therefore, option C is the correct answer.

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4/5 of the cake was left, but after Brian ate some only 1/4 of the cake was left. Which fraction of the cake did Brian eat?

Answers

Answer:

3/4

Step-by-step explanation:

there was 4/5 you just had to minis 3and 4

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Answers

Answer:

16 36 169 100

Step-by-step explanation:

Answer:

16, 32, 169, 100

Step-by-step explanation:

Please help me!! Find the distance between points (-7,-4) and (-2,0)

Answers

Answer:

This is odd since the answer is 9 units. The best option would most likely be D since that is the closet answer. Unless it tells you to round i would go with D.

Step-by-step explanation:

please help i don’t understand, thanks! :)

Answers

Answer:

Step-by-step explanation:

My best guess would be 12 tickets, but seeing as that is not an option, I see that the only similarity all of the numbers in the x column have is that they are even numbers, and B is the only option that is even as well

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f(x)=-3x^2-6x Find f(−9)

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f(x)=-3x^2-6x

Find f(−9)