What is the absolute maximum or minimum of f(x) = 3x^2-5x-9

Answers

Answer 1

Answer:

Absolute minimum / vertex = (5/6,-133/12)

Step-by-step explanation:

Since a is positive, then the absolute maximum is ∞. The absolute minimum would be the vertex of the parabola, meaning x=-b/2a=-(-5)/2(3)=5/6, and y=3(5/6)^2-5(5/6)-9 = -133/12. Therefore, your absolute minimum / vertex is (5/6,-133/12)

Answer 2
(5/6,-133/12) You have to use the formula x=-b/2a

Related Questions

Slope from graph Khan academy :
What is the slope of this line?

Answers

Answer:

[tex]slope=-3[/tex]

Step-by-step explanation:

[tex]m=\frac{change(y)}{change(x)}[/tex]

Use two points,

(-1,0)(0,-3)

[tex]m=\frac{0-(-3)}{-1-0}[/tex]

[tex]m=\frac{3}{-1}[/tex]

[tex]m=-3[/tex]

Answer:

-3

Step-by-step explanation:

what is 1+2+3+4+5+6+7+8+9

Answers

Answer:

45

Step-by-step explanation:

The answer to 1+2+3+4+5+6+7+8+9 is 45

45
EXPLANATION
It wasent that hard really just use a calculator

The perimeter of a rectangle is 36 cm and the length is twice the width. What are
the dimensions of this rectangle?
Width? _____ cm
Length? ____ cm

Answers

Answer:

Width __6___ cm

Length __12__ cm

Step-by-step explanation:

hello :

x : the width   and y : Length    P : the  perimeter

P=2(x+y )        but : P=36cm  and : y = 2x

36 = 2(x+2x)

36 = 2(3x)

6x =36   so : x=6 cm   and y = 2×6=12cm

Step-by-step explanation:

If breadth is b,then length will be 2b,so

Perimeter=36

2(2b+b)=36

3b=18

b=6,so,l=2×6=12

So,length is 12 and breadth is 6,

Hope it helps…

Alguien me ayuda tiene que ser sobre Bosques tropicales secos
Cantidad de especies
Superficie aprovechada
Área en peligro

Answers

Answer:

asd

Step-by-step explanation:

asddffffffff

PLEASE HURRY TIMED BRAINLIEST
Which transformations are needed to change the parent cosine function to the cosine function below?

Answers

Answer:

Answer is D

Step-by-step explanation:

Did it on Edge

The transformations are needed to change the parent cosine function to the cosine function is

Vertical stretch of 2 and horizontal compression to a period π/2 and phase shift to π unit left and vertical shift of 1 unit down.

What is Transformation?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

If you stretch cosine function by a factor of 2, maximum will be y = 2 and minimum will be y = -2.

and, after that you shift it 1 unit down maximum will be y = 1 and minimum will be y = -3

So, vertical stretch of 2 and horizontal compression to a period π/2.

Now, the phase shift to π unit left and vertical shift of 1 unit down.

Learn more about Transformation here:

https://brainly.com/question/22962835

#SPJ7

A sample of 30 11th graders were asked to select a favorite pattern out of 6 choices. The following display shows what their favorite color patterns were. The counts have been recorded in the accompanying table according to pattern and the number of students who selected that pattern. What is the missing value in the table?

A. 11
B. 10
C. 8
D. 9​

Answers

Answer:

D. 9

Step-by-step explanation:

If you count the number of squares that are pink with polka dots, you notice that there are 9 of them.

Answer:

D. 9.

Step-by-step explanation:

There is a ? on pink polka dots, so we have to count how many pink polka dots there are.

There are 9 pink polka dots in the color pattern.

The manager of a warehouse would like to know how many errors are made when a product's serial number is read by a bar-code reader. Six samples are collected of the number of scanning errors: 36, 14, 21, 39, 11, and 2 errors, per 1,000 scans each.

Just to be sure, the manager has six more samples taken:

33, 45, 34, 17, 1, and 29 errors, per 1,000 scans each

How reasonable is it to expect that the small sample represents larger samples?

Answers

Answer:1A. 20.5

2A. 14.54

1B. 14.625

2B. quite good reasonable

Step-by-step explanation:

Mean is used to measure central tendency (i.e. representative of data) and standard deviation is use to measure dispersion of data. The formula use to calculate mean and variance is :

1A. Mean of six sample =

⇒  

⇒ Mean = 20.5

Standard deviation of six sample =

⇒ σ = 14.54

2A. Total number of error = 36 + 14 + 21 + 39 + 11 + 2 = 123

Total number of error made by all scans is 123 error per 6000 scans.

1B. Mean of all 12 samples is:

⇒  

⇒ Mean = 23.5

Standard deviation of all 12 samples =

⇒ σ = 14.625

2B. Taking small sample instead of large sample can be quite risky sometimes as larger sample give us more accurate result than small sample.

But here we can take a small sample because the mean of both the size of the sample is near about.

Step-by-step explanation:

 The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds 600 people. By selling​ tickets, the members would like to raise ​$3900 every night to cover all expenses. Let d represent the number of adult tickets sold at ​$8.50. Let s represent the number of student tickets sold at ​$5.50 each. If all seats are filled for a​ performance, how many of each type of ticket must have been sold for the members to raise exactly ​$​3900? At one performance there were times as many student tickets sold as adult tickets. If there were tickets sold at that​ performance, how much below the goal of ​$3900 did ticket sales​ fall?

yeah

Answers

Answer:

$137.00

Step-by-step explanation:

add all the money then add the 600 to the money u get.

To solve the equation 34x=15, Abby multiplied both sides by ¾ and got a solution of x=1114. Explain the error that Abby made and then find the correct value of x.

Answers

Answer:

x = 20

Step-by-step explanation:

3/4x = 15

Abby's calculation:

3/4x = 15

Multiply both sides by 3/4

x = 1114

Abby's error was multiplying both sides by 3/4 instead of dividing both sides by 3/4 to get the value of x

Correct calculation:

3/4x = 15

Divide both sides by 3/4

3/4x ÷ 3/4 = 15 ÷ 3/4

x = 15 × 4/3

x = 60/3

x = 20

Check:

3/4x = 15

3/4*20

= (3*20) / 4

= 60/4

= 15

3/4*20 = 15

what is the surface area of this right rectangular prism.

a rectangle with 4 width 5 length and 2 height.

Answers

Answer:

20 cubic meters

Step-by-step explanation:

volume = length x width x height

5 x 2 x 2 = 20

Solve for m.
9m - (6m - 7) = 2 (m - 3)

Answers

Answer:

[tex]\boxed{\boxed{\tt m=-13}}[/tex]

Step-by-step explanation:

[tex]\tt 9m-\left(6m-7\right)=2\left(m-3\right)[/tex]

Expand, Apply the Distributive property:

[tex]\tt 9m-\left(6m-7\right)\leadsto \underline{3m+7}[/tex]

[tex]\tt 2\left(m-3\right)\leadsto \underline{2m-6}[/tex]

[tex]\star \:\:\tt 3m+7=2m-6[/tex]

Subtract 7 from both sides:

[tex]\star \:\:\tt 3m+7-7=2m-6-7[/tex]

[tex]\star \:\: \tt 3m=2m-13[/tex]

Subtract 2m from both sides:

[tex]\star \:\: \tt 3m-2m=2m-13-2m[/tex]

[tex]\star \:\: \tt m=-13[/tex]

_____________________________

PLSS HELP ME ITS TIMED ILL MARK BRAINLIEST

Answers

Answer:

56 times 52 times 76 divide by 4 = ? times 3 dont forget to add cm cubed at the end

Step-by-step explanation:

(x+4)(x-2) as a triomial in standard form

Answers

Answer:

x² - 8x + 16 Hope this helps

Step-by-step explanation:

Step 1: Write out expression

(x - 4)²

Step 2: Expand

(x - 4)(x - 4)

Step 3: FOIL

x² - 4x - 4x + 16

Step 4: Combine like terms

x² - 8x + 16

x^2 + 2x - 8

just multiply (x+4)(x-2)

x times x = x^2

x times -2 = -2x

4 times x = 4x

4 times -2 = -8

-2x + 4x = 2x

Find the measure of each exterior angle of a regular nonagon.
If needed, round to the nearest tenth.
label optional

Answers

Answer:

360°÷9

Step-by-step explanation:

All exterior angles should add up to 360°.

The nonagon is a regular polygon hence all the exterior angles are the same size.

∴ 360°÷9= 40°

The triangles are congruent by the SSS congruence theorem. Triangles A B C and D E C are connected at point C. Triangle A B C is reflected across B C and then is rotated about point C to form triangle D E C. Which rigid transformation(s) can map TriangleABC onto TriangleDEC?

Answers

Answer:

Reflection, then rotation

Step-by-step explanation:

The answer is already included into question:

Triangle A B C is reflected across B C and then is rotated about point C to form triangle D E C.

Answer:

The correct answer is A

Step-by-step explanation:

reflection, then rotation

Element X is a radioactive isotope such that every 30 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 100 grams, how long would it be until the mass of the sample reached 64 grams, to the nearest tenth of a year?

Answers

Answer:

19.3 years

Step-by-step explanation:

Given that the initial mass of a sample of Element X is 100 grams,

The formula is given as:

N(t) = No × (1/2) ^t/t½

Element X is a radioactive isotope such that every 30 years, its mass decreases by half.

N(t) = Mass after time (t)

No = Initial mass = 100 grams

t½ = Half life = 30 grams

N(t) = 100 × (1/2) ^t/30

How long would it be until the mass of the sample reached 64 grams, to the nearest tenth of a year?

This means we are to find the time

N(t) = 100 × (1/2) ^t/30

N(t) = 64 grams

64 = 100(1/2)^t/30

Divide both sides by 100

64/100 = 100(1/2)^t/30/100

0.64 = (1/2)^t/30

Take the Log of both sides

log 0.64 = log (1/2)^t/30

log 0.64 = t/30(1/2)

t = 19.315685693242 years

Approximately = 19.3 years

The equation of a line in slope intercept form that is perpendicular to y=-1/3 x +5 and goes through the point (-1,3)

Answers

Answer:

y = 3x + 6

Step-by-step explanation:

The general equation of a line is;

y = mx + b

where m is the slope and b is the y intercept

The slope of the first line is -1/3

when two lines are perpendicular, the product of their slopes is equal to -1

Thus;

-1/3 * m2 = -1

-m2 = -3

m2 = 3

So the equation of the second line is;

y = 3x + b

To get b, we substitute the coordinates of the point (-1,3)

We substitute -1 for x and 3 for y

so, we have;

3 = 3(-1) + b

3 = -3 + b

b = 3 + 3

b = 6

So we have the second equation as;

y = 3x + 6

ILL MARK BRAINLIEST TO FIRST PERSON TO ANSWER CORRECTLY

Which One Doesn't Belong? Determine which equation from the four below doesn't belong and justify your answer. Could there be a different answer?

Answers

Answer:

what on the planet is the question

Left box on the bottom, because they don’t look exactly parallel to one another.

Plz!!! I will give Brainliest

Answers

d i believe please correct me if i’m wrong
it’s B !!

it says at least which means 6 would be included. so the dot would be closed since it indicates including 6. and since at least also means more than.

Maisiereceives a weekly paycheck from her boss she spent half of this week paycheck on food and spent and additional 5.00 on a taxi . If she didn't spend any additional money and finished the week with 41 how much is Masie weekly paycheck

Answers

Answer:

If she didn't spend any additional money and finished the week with 41 how much is Masie weekly paycheck. 1. See answer.

I need someone who will answer all five questions correctly. Give out 100 bonus points for who will answer all 5 correctly

Answers

Answer:

What're the questions??

Step-by-step explanation:

why did this just now show up for me when it was in 2021 bro

any number to the___power is 1

Answers

Answer:

0 power

Step-by-step explanation:

Hello, any number to the 0 power is 1 because there is no product for the number at all so it would be identified as 1.

Answer:

0

Step-by-step explanation:

Any number raised to the power of one equals the number itself. Any number raised to the power of zero, except zero, equals one. This multiplication rule tells us that we can simply add the exponents when multiplying two powers with the same base.

find the coordinates of the point where y-4x=1 crosses the y-axis

Answers

Answer:

(0, 1)

Step-by-step explanation:

y - 4x = 1 crosses the y-axis at (0, 1)

Answer:

(0,1)

Step-by-step explanation:

The population of a town has grown at a rate of approximately 1.2% each year since 1960. In 1960, the population of the town
was about 180 thousand people. Which function could be used to model the population, p, of the town in thousands) x years
after 1960?
A
p = 180(12)
(В)
p = 180(1.12)
©
p = 180(1.012)
D
p = 180(0.12)

Answers

Answer:

180(1.012)^x

Step-by-step explanation:

The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 63 ​students, requires 5 ​chaperones, and costs ​$1,400 to rent. Each van can transport 9 ​students, requires 1​ chaperone, and costs ​$100 to rent. Since there are 756 students in the senior class that may be eligible to go on the​ trip, the officers must plan to accommodate at least 756 students. Since only 70 parents have volunteered to serve as​ chaperones, the officers must plan to use at most 70 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation​ costs? What are the minimal transportation​ costs?

Answers

Min Cost = $12,200
Number of buses needed = 7
Number of vans needed = 24

A cube has an edge length of 9 centimeters. If the side length is increased by a factor of 3, how much larger is the perimeter of a face of the new cube? 72 cm 72 cm2 108 cm 108 cm2

Answers

Answer:

72cm

Step-by-step explanation:

Original length of the cube = 9cm

Perimeter of the original cube = 4L

Perimeter of the original cube = 4(9)

Perimeter of the original cube = 36cm

If the cube is increased by a factor of 3, new length will be 3(9) = 27cm

Perimeter of the new cube = 4*27

Perimeter of the new cube = 108cm

Difference =108 - 36

Difference = 72cm

Hence the new cube is 72cm larger than the original

Answer:

72cm

Step-by-step explanation:

Which option best shows X < -18

Answers

Answer:

A is the best shows your answer

Answer:

B

Step-by-step explanation:

C and D are > and ≥ -18

A shows x < -18, which isn't what the question asks for

What is the perimeter of the triangle?

Answers

Answer:

P = 38

Solution

P=a+b+c=15+8+15 = 38

PLZ GIVE BRAINLIESTTTTT

37 units
if i can count properly

At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total of $7.25. To determine the cost of one pickle, Kevin is writing a system of equations. His first equation is shown: x + 2y = 3.25

Which of the following could be the second equation in his system of equations?
3x + 4y = 7.25

4x + 3y = 7.25

3x - 4y = 7.25

(3 + 4)x = 7.25​

Answers

Answer:

p + 2c = 3.25 Start with these two equations

3p + 4c = 7.25

p = -2c + 3.25 Solve for one variable

3(-2c +3.25) + 4c = 7.25 Substitute

-6c + 9.75 + 4c = 7.25

-2c = -2

c = 1

p + 2(1) = 3.25 Substitute

p + 2 = 3.25

p = 1.25

A bag of chips costs $1

A pickle costs $1.25

Step-by-step explanation:

pls mark me brainless

What is the surface area of the part of the cake that will have frosting? No links or I will report you. If you answer correctly I will give you the brainliest

Answers

Answer:

396 square inches

Step-by-step explanation:

First we must find the overall surface area of the cake, which will the total area of all of the faces.

The cake is a rectangular prism, meaning the faces are all rectangles and opposite faces will be identical.

As opposite faces are identical, the area of only 3 faces need to be found, and a formula can be crafted:

[tex]A = 2 (lw + wh + lh)[/tex], where l is length, w is width, and h is height.

For demonstration purposes, the length will be 12 and the width will be 15.

Substituting, we get:

[tex]A = 2 ((12)(15) + (15)(4) + (12)(4))\\A = 2(180 + 60 + 48)\\A = 2(288)\\A = 576\\[/tex]

Now, we must subtract the area that is not covered by frosting. As there is only a lack of frosting on the base, we subtract the area of the base.

[tex]A = 576 - lw\\A = 576 - (12)(15)\\A = 576 - 180\\A = 396[/tex]

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