Is there a local minimum at x= -4?

Is There A Local Minimum At X= -4?

Answers

Answer 1

9514 1404 393

Answer:

  yes

Step-by-step explanation:

Yes, the turning point at (-4, -16) is a local minimum. It is a minimum because the curve goes upward either side of it. It is local (not global) because the curve has values that are lower than -16 at other values of x.

__

Similarly, the point (4, 16) is a local maximum.


Related Questions

what is the simplest interest rate if $126.77 in interest is earned on a deposit of $1434.85 in one year?

Answers

Answer:

9%

Step-by-step explanation:

Principal x interest rate=yearly interest

1434.85 x interest rate =126.77

interest rate = 126.77/1434.85

interest rate=.088 or 9%

Kathy stood on the middle rung of a ladder. She cimbed up 3 rungs, moved down 5 rungs, and then climbed up 9 rungs. Then she climbed up the remaining 2 rungs to the top of the ladder. How many rungs are there in the whole ladder?

Answers

Answer:

18 rungs

Step-by-step explanation:

Let x = number of rungs

x/2 = middle

Climbed 3

x/2 +3

Down 5  

x/2 +3 -5

Climbed 9

x/2 +3 -5+9

Then climbed 2 more

x/2 +3 -5+9 +2

Now is at the top

x/2 +3 -5+9 +2 =x

Combine like terms

x/2 +9 = x

Subtract x/2 from each side

x/2+9-x/2 = x - x/2

9 = x/2

Multiply each side by 2

18 =x

What is an equation of the line that passes through the points (-6, 3) and (-5,2)

Answers

Answer:

y=-x-3

Step-by-step explanation:

Mô hình quy hồi tuyến tính và ứng dụng

Answers

Answer:

where are you from Korea or not

Mô hình quy hồi tuyến tính và ứng dụng.

Hope it helps you!

-miraculousfanx-

Triangle A B C is cut by line segment D E. Line segment D E goes from side A C to line A B. The length of A E is 12, the length of E B is 4, and the length of A D is 9. What is the length of Line segment D C? 2 units 3 units 6 units

Answers

Answer: The length of DC is 3 units

Step-by-step explanation:

The Basic proportionality theorem states that if a line is parallel to one side of a triangle and intersects the other two at different points, then the other two sides are divided in the same ratio.

The given image is attached below.

From the BPT theorem, we can say that:

[tex]\Rightarrow \frac{AE}{EB}=\frac{AD}{DC}[/tex]

We are given:

AE = 12 units

EB = 4 units

AD = 9 units

Putting values in above equation, we get:

[tex]\Rightarrow \frac{12}{4}=\frac{9}{DC}\\\\\Rightarrow DC=\frac{9\times 4}{12}\\\\\Rightarrow DC=3 units[/tex]

Hence, the length of DC is 3 units

Answer:

The answer is 3 units

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all fractions. 12x+9y=18

Answers

Answer:

y = -4/3x + 2

Step-by-step explanation:

Slope intercept form is y = mx + b.

Rearrange the equation into slope intercept form by isolating y:

12x + 9y = 18

9y = -12x + 18

Divide each side by 9:

y = -4/3x + 2

So, the equation is y = -4/3x + 2

I need to find the value of x?

Answers

Answer:

x=20

Step-by-step explanation:

120=6x

120/6=6x/6

20=x

Use the following figure to answer the questions
<5 and <7 are what angles

Answers

Answer:

<5 and <7 are corresponding angles.

Step-by-step explanation:

<5 and <7 are corresponding angles.  They are on the same side of the transversal and on the same position on each of the parallel lines

How do I compare this ratio ;

3:4 , 5:2 and 2:3

Answers

Answer:

(a) By converting to decimal:

2:3=23=0.6¯

4:5=45=0.8

As 0.6¯<0.8,2.:3<4:5.

(b) By converting to fractions:

Ratios can be compared by converting them to like fractions.

2:3=23=2(5)3(5)=1015

4:5=45=4(3)5(3)=1215

As 1015<1215,2:3<4:5.

WILL MARK BRAINIEST Evaluate the 6 trigonometric functions at

Answers

Step-by-step explanation:

the Adjacent = √15²-9²=√225-81=√144=12

sin 0 = 9/15 = 3/5

cos 0 = 12/15 = 4/5

tan 0 = 9/12 = ¾

sec 0 = 15/12 = 5/4

csc 0 = 15/9 = 5/3

cot 0 = 12/9 = 4/3

multiply (11x+y)² what is the answer?​

Answers

Answer:

121x+y²

Your Welcome

BIFFY OUT!!!

In a carnival game, there are 8 identical boxes, one of which contains a prize. Contestants guess which box contains the prize. The game is played until one of the contestants guesses it correctly. A contestant with the smaller number of guesses wins the prize. Before each game, a new prize is placed at random in one of the 8 boxes.

Requried:
Is it appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game that day several times wins exactly 4 times?

Answers

Since there is a fixed number of trials and the trials are independent, it is appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game that day several times wins exactly 4 times.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem:

The game is played n times.In each game, each of the 8 participants is equally as likely to win the game, hence p = 1/8.

Thus, the binomial distribution is appropriate.

You can learn more about the binomial distribution at https://brainly.com/question/24863377

Les municipalités de Sainte-Julie,
Saint-Bruno-de-Montarville, Saint-Basile-le-Grand
et Saint-Mathieu-de-Beloeil prévoient construire
une piste cyclable qui entourera le mont Saint-Bruno.
La piste cyclable est illustrée en rouge sur la carte
ci-contre. Les distances sont en kilomètres.
a) Pour construire la piste cyclable, une entreprise
demande 12 451,50$ par kilomètre.
Si les municipalités concernées ont prévu
un budget de 300 000 $ pour l'aménagement
de la piste, respecteront-elles le budget estimé ?​

Answers

Answer:

CNC app BC we can we can MN we all at can we can we do all we can we go we go we cannot GL can see VM we BM

Can you help me with this question please

How to solve and answer

Answers

Answer:

option A

Step-by-step explanation:

2x*(x + 3) = 6x + 4

2x *x + 2x*3 = 6x + 4   {Distributive property}

2x² + 6x  = 6x + 4

Subtract 6x from both sides  {Subtraction property of equality}

2x² = 4

Divide both sides by 2 {Division property of equality}

x² = 4/2

x² = 2

x = √4     {Square root property}

x = ± 2

Helpppp please ASAP

Answers

Answer:

(13, -3).

Step-by-step explanation:

Expression representing transformation has been given as,

[tex]r_{y-z}oT_{4,-5}[/tex]

First apply the rule → [tex]T_{4,-5}[/tex]

Translation of the point by 4 units along the x-axis and 5 units downwards along the y-axis,

(x, y) → (x + 4, y - 5)

(-1, -8) → (-1 + 4, -8 - 5)

          → (3, -13)

Now apply the rule of reflection over the line y = -x to the image point (3, -13),

(x, y) → (-y, -x)

(3, -13) → (13, -3)

Therefore, answer will be (13, -3).

A certain game consist of rolling a single fair die and based off as a following numbers listed in the picture

Answers

Given:

A fair die is rolled.

It pays off $10 for 6, $7 for a 5, $4  for a 4 and no payoff otherwise.

To find:

The expected winning for this game.

Solution:

If a die is rolled then the possible outcomes are 1, 2, 3, 4, 5, 6.

The probability of getting a 6 is:

[tex]P(6)=\dfrac{1}{6}[/tex]

The probability of getting a 5 is:

[tex]P(5)=\dfrac{1}{6}[/tex]

The probability of getting a 4 is:

[tex]P(4)=\dfrac{1}{6}[/tex]

The probability of getting other numbers (1,2,3) is:

[tex]P(\text{Otherwise})=\dfrac{3}{6}[/tex]

[tex]P(\text{Otherwise})=\dfrac{1}{2}[/tex]

We need to find the sum of product of payoff and their corresponding probabilities to find the expected winning for this game.

[tex]E(x)=10\times P(6)+7\times P(5)+4\times P(4)+0\times P(\text{Otherwise})[/tex]

[tex]E(x)=10\times \dfrac{1}{6}+7\times \dfrac{1}{6}+4\times \dfrac{1}{6}+0\times \dfrac{1}{2}[/tex]

[tex]E(x)=\dfrac{10}{6}+\dfrac{7}{6}+\dfrac{4}{6}+0[/tex]

[tex]E(x)=\dfrac{10+7+4}{6}[/tex]

[tex]E(x)=\dfrac{21}{6}[/tex]

[tex]E(x)=3.5[/tex]

Therefore, the expected winnings for this game are $3.50.

what number must you add to complete the square? x^2+24x=50

Answers

Answer:

144

Step-by-step explanation:

Divide the b term which is 24 by 2

Gives you 12, then square it.

that's 144

formula for completing squares is [tex](b/2)^{2}[/tex]

Solve for the integer x in the following. 2^x = 16​

Answers

2^x= ((2)^2)^2
2^x= 2^4
x=4

how do i find a perimeter of a traingle? give examples​

Answers

Answer:

use this formula(a+b+c) a,b,c are the 3 sides of a triangle this will help you to find the perimeter of a triangle

Help plz ??

This is really urgent. If anyone knows the answer plz plz help me

Answers

Answer:

A

because range is all values of Y but in negative side it is infinity but in positive side range is 4

Express in simplest radical form.
V9

Answers

Answer:

3

Step-by-step explanation:

[tex]\sqrt{9}=\sqrt{3*3} = 3[/tex]

Maria is shopping at the mall. She had $73 at the beginning of the day. She bought a shirt for $22 and then a pair of jeans. Now, Maria has $38 left. How much did Maria's jeans cost?
a 60
b 16
c 13
d 51

Answers

Answer:

option C = $13

Step-by-step explanation:

Amount she had in the beginning = $73

Cost of shirt = $22

Let the cost of jeans be = x

Balance in hand = $38

Amount in hand = 38 + 22 + x

                 73 = 60 + x

                 73 - 60 = x

                   13 = x

Therefore, cost of  a pair of jeans = $13

Answer:

The answer is C

Step-by-step explanation:

Graph y < 1 – 3x
Need this really fast

Answers

Answer:

Step-by-step explanation:

Hope this helps

Parallelogram ABCD had coordinates A(0,7) and C(2, 1) Which statement will prove ABCD is a Rectangle?

The midpoint of AC is (1, 4).
The length of BD is √40.
The slope of BD is 1/3
The slope of AB is 1/3.

Answers

Answer:

Option (2)

Step-by-step explanation:

ABCD is a parallelogram having vertices A(0,7) and C(2, 1).

Therefore, length of diagonal AC = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                                                       = [tex]\sqrt{(0-2)^2+(7-1)^2}[/tex]

                                                       = [tex]\sqrt{40}[/tex]

Since, diagonals of a rectangle measure the same and bisect each other,

Length of other diagonal BD will also measure [tex]\sqrt{40}[/tex].

Therefore, Option (2) will be the correct option.

Find the value of the missing coefficient a in the equation y = a(x - 3)(x + 5) if the graph goes through the point (1, -6)

Plz help I will mark brainliest

Answers

Answer:

3

Step-by-step explanation:

you have to solve for x then you can find the coeeffiecnt

PLEASE HELP ASAP For each expression below, select the letter that corresponds to the equivalent expression from the given list.
(4x^3 – 4 + 7x) – (2x^3- 8)
is equivalent to expression___
(-3x^2 + x^4 + x) + (2x^4 - 7 + 4x) is equivalent to expression ____
(12 – 2x)(2x + 3) is equivalent to expression___

The blanks are for the letters in the picture

Answers

BAnswer:

B-D-A

Step-by-step explanation:

-

HELPPPPPPPP PLS!!!!!!!

Answers

Answer:

(15x + 120) ft³

Or

15(x + 8) ft³

Step-by-step explanation:

The prism can be decomposed into a rectangular prism and a triangular prism

The volume of the prism = volume of the rectangular prism + volume of the triangular prism

✔️Volume of rectangular prism = L*W*H

L = 5 ft

W = 4 ft

H = 6 ft

Volume = 5*4*6 = 120 ft³

✔️Volume of triangular prism = ½*b*h*l

b = x ft

h = 6 ft

l = 5 ft

Volume = ½*x*6*5 = 15x ft³

✔️Volume of the prism = (15x + 120) ft³

2) find an equation of the line theough the given
points. Give the final answer in slope-intercept form.
(2,-2) (-1,4)

Answers

Answer:

y = -2x + 2

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (2, -1)

Points on the y-axis (y1, y2) = (-2, 4)

To find the equation of line in slope intercept form;

First of all, we would determine the slope of the line.

Mathematically, slope is given by the formula;

[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]

[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

Substituting into the equation, we have;

[tex] Slope, m = \frac {4 - (-2)}{-1 -2} [/tex]

[tex] Slope, m = \frac {4 + 2}{-1 -2} [/tex]

[tex] Slope, m = \frac {6}{-3} [/tex]

Slope, m = -2

Next, we would use the following formula to find the equation of the line;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - (-2) = -2(x - 2)

y + 2 = -2x + 4

y = -2x + 4 - 2

y = -2x + 2 = mx + c

The figure to the right shows two parallel lines intersected by a transversal.
Let x = 103°. Find the measure of each of the other seven angles.

Answers

Answer:

77°

Step-by-step explanation:

103° + ∠1° = 180°

Three-fourths (one-fourth x + 8) minus (one-half x + 2) = StartFraction 3 Over 8 EndFraction (4 minus x) minus one-fourth?

Answers

Answer:

if I am understood your question correctly, X would be 84/29

Step-by-step explanation:

Answer: x= -44 depending on how the question is written!

Depending on how you meant to describe the problem. If you meant it as (writing with decimals instead of fractions for the lack of confusion)

Problem:
0.75(0.25x + 8) - (0.5x + 2) = 0.375 (4-x) -0.25

Reference: 3/4 = 0.75, 0.25 = 1/4, 0.5 = 1/2, 0.375 = 3/8,

The answer would be x= -44.
Other Questions
Name the angle relationship between a and b Please can someone solve some questions on similar triangles ASAP. contrast how to graph x=2 and y=-4 You are told to make a new image with a scale factor of 1 or 100%. How would the new image lookcompared to the original? if a test shows that some people have plasmodium in their blood but do not show any symptoms of malaria, what would be the hypothesis for this MAMA. You making something inside me cry, son. Some awful pain inside me.WALTER. Don't cry, Mama. Understand. That white man is going to walk in that door able to write checks for more money than we ever had. It's important to him and I'm going to help him . . . I'm going to put on the show, Mama.Q: Which themes does the excerpt most clearly convey?A. Sometimes children never learn their lesson; life can often be painful and hard to bear.B. Money is not the key to the American Dream; never do demeaning things to get what you want.C. To conform to society, you must keep your individuality; the family must be kept together, no matter what.D. One should never sacrifice one's dignity; to meet society's expectations, one must give up one's individuality. At 40km up in the atmosphere the pressure is 3.8 kPa. I release a balloon with a volume of 30.0liters from sea level. The balloon ascends up into to atmosphere 40 km. What will be the newvolume of the balloon, assuming no change in temperature?Answer in liters HELP WOULD BE MUCH APPRECIATED What conflict is developing in this excerpt? Think of 5 positive integers that have a mode of 4, a median of 6, a mean of 7 and a range of 10. Cell type gizmo answers United Contractors Inc. holds a lien on Vista Estates real property. This property can be sold to satisfy the debt if, before the sale, notice is given to A train covers a dictance of 820KM in 8 hours. How much distance will ir cover in 1 hour? in a triangle the angle with the smallest measure is always the opposite the The net of a rectangular prism is shown.8 in.2 in.2 in.8 in.2 in.,1116 in.12 in. : what values of x makes -6x =12 true What things about the book did Margie and Tommy find strange? *they found that words stood still instead of moving like on a computerthey found that the book was old.they found that the book was well maintainedthey found that the book had clear and clean typing DFGI is a trapezoid with midsegment EH. What is DI?D8 cmF7 cmEH = 6.00 cmFG = 4.00 cm5 cmG6 cmH Why does the author describe the ducks bowl as self-cleaning?A.The duck eats all of the food every night, leaving the bowl empty.A.The duck eats all of the food every night, leaving the bowl empty.B.The duck food sticks to the frozen water when the bowl is emptied.B.The duck food sticks to the frozen water when the bowl is emptied.C.The duck food scatters about the yard when the bowl is knocked over.C.The duck food scatters about the yard when the bowl is knocked over.D.The duck displaces the food from the bowl when she drinks the warm water.D.The duck displaces the food from the bowl when she drinks the warm water. Read the introduction from a student's rhetorical analysisessay.In the 2020 article "To Educate Good Citizens, We Need More Than the 'New' Civics" in Forbes Magazine, SeniorEditor Natalie Wexler acknowledges the need for a new concept of civics education. She argues that most attempts to improve civics in schools are too general or political. She believes that people need to "rethink basic assumptions about teaching and learning." She juxtaposes "action civics" and journalism that involve students in their communities. The addition of which sentence would strengthen thisintroduction?O One of Wexler's points is that students fail to engagewith civics because it is "traditionally conceived asboring."O Wexler uses facts and reasoning to present aneffective argument that cvics instruction needsreform.O Wexler's comments about "action civics" can bepolitically controversial and unrealistic.O Wexler is the author of The Knowledge Gap: TheHidden Cause of America's Broken EducationSystem-and How to Fix It.