Graph the function y = x3 + x2 – 6x + 5. What are the coordinates, to the nearest tenth, of the relative maximum of the graph?

(1.1, 0.9)
(1.5, 1.3)
(–2.2, 15.8)
(–1.8, 13.2)

The answer to the given question is as below:-

Polynomials:-

x³-7x²+9x-5x⁴-20

x⁵-5x⁴+4x³+2x-1

3x²-5x⁴+2x-12

Non-polynomial:-

x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1

[tex]\dfrac{4}{x^4}+ \dfrac{3}{x^3}-\dfrac{2}{x^4}-1[/tex]

[tex]\sqrt[4]{x} -\sqrt[3]{x} 4+\sqrt{x}-8x+16[/tex]

A polynomial is a mathematical equation made up of indeterminates and coefficients and involves only addition, subtraction, multiplication, and non-negative integer exponentiation of variables. The exponents of the polynomials can not be irrational.

So the table will be formed as:-

Polynomials:-                            Non-polynomial:-        

x³-7x²+9x-5x⁴-20                     x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1        

x⁵-5x⁴+4x³+2x-1                        [tex]\dfrac{4}{x^4}+ \dfrac{3}{x^3}-\dfrac{2}{x^4}-1[/tex]

3x²-5x⁴+2x-12                           [tex]\sqrt[4]{x} -\sqrt[3]{x} 4+\sqrt{x}-8x+16[/tex]

Therefore the polynomials and non-polynomials are shown in the table above.

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Answer:

y = 9

Step-by-step explanation:

given that y varies inversely as x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

to find k use the condition y = 12 when x = 6

12 = [tex]\frac{k}{6}[/tex] ← multiply both sides by 6 to clear the fraction

72 = k

y = [tex]\frac{72}{x}[/tex] ← equation of variation

when x = 8 , then

y = [tex]\frac{72}{8}[/tex] = 9

Answer:

548, 297

Step-by-step explanation:

We can set this up as a system of equations. The first equation is for how many tickets were sold, which is x+y=845. The second equation is for the cost of the tickets, which is 3x+5.5y=3277.50. The best method for this problem (other than graphing) is elimination. First, we need to multiply one equation to get the opposite of one of the variables. The easiest one to do for this problem is x. The opposite of 3 is -3, so we have to multiply ALL of the first equation by -3. If you do this, then you get -3x-3y=-2535. Now, combine the equations:

3x + 5.5y = 3277.50

-3x  -3y    = -2535

________________

0x+2.5y=742.5

Now, isolate y by dividing both sides by 2.5. If you do this, you get y=297. Now, plug this in for the y in the first equation. Isolate x.

x+297=845

  -297  -297

__________

      0      548

x=548

Hope this helps!

Answer:

  $19,201.09

Step-by-step explanation:

The future value of the annuity due can be found using any of a number of apps, calculators, or spreadsheets. It can also be found using the formula ...

  A = P(1 +r)((1 +r)^n -1)/r

where P is the annual payment, r is the annual interest rate, and compounding is yearly for n years.

  A = 2535(1.1418)(1.1418^5 -1)/0.1418 ≈ 19,201.09

The value will be $19,201.09.

Answer:

x = 7 degrees

Step-by-step explanation:

The unlabelled angle at M   PLUS   12x + 24 = 180

  then   the unlabelled interior angle is  180 - (12x+24)

The sum of the interior angles then = 180

 80 + 4x  +     180-(12x+24) = 180

236 -8x = 180

x = 7

The dimensions of the the plot of land is a length of 19 meters and width of 12 meters.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the length of the field and y represent the width of the field, hence:

Deion has 62 m of fencing:

2(x + y) = 62

x + y = 31

y = 31 - x     (1)

The area of the land is 228 square meters. hence:

xy = 228

x(31 - x) = 228

x² - 31x + 228 = 0  

x = 12 or x = 19

when x = 12; y = 31 - 12 = 19

when x = 19; y = 31 - 19 = 12

The dimensions of the the plot of land is a length of 19 meters and width of 12 meters.

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Answer:

281.3

Step-by-step explanation:

If the shapes are similar then the linear scale factor is :

15÷20 = 0.75

The area scale factor will be 0.75²

The area scale factor is 0.5625

500 × 0.5625 = Area of shaded rectangle

Area of shaded rectangle = 281.25

To the nearest tenth = 281.3

Hope you understood and brainliest please

Answer:

[tex]281.3 m^{2}[/tex]

Step-by-step explanation:

I've done this before I have the work attached below in a screenshot. Sorry that it's not much but I hope it helps!

Please feel free to comment, give feedback, ask questions, and correct me if I am wrong!

Have a great day

:)

Based on the items appearing in Gravano Engineering's Statement of Financial Position at the year-end, the totals for the following are:

1. Non-current Assets = $192,000

2. Current Assets = $64,000

A Statement of Financial Position is a financial statement that shows an entity's assets, liabilities, and equity.

Assets are items owned by an individual or entity that generate current, future, or potential economic benefits.

Liabilities are financial obligations that an individual or entity owes creditors.

Equity is the difference between assets and liabilities, which refers to the financial benefits accruing to the stockholders.

1. Trade payables                                    $39,000

2. Cash at bank                                         14,000

3. Motor vans                                           25,000

4. Inventories                                             7,000

5. Bank overdraft                                     13,000

6. Property                                              96,000            

7. Trade receivables                              43,000            

8. Plant and equipment                        26,000            

9. Trademarks                                        28,000

10.   Fixtures and fittings                        17,000

11.   Mortgage on property                   45,000​

2. Cash at bank                                          14,000

4. Inventories                                              7,000

7. Trade receivables                                43,000            

Total current assets =                           $64,000

3. Motor vans                                          25,000

6. Property                                              96,000                      

8. Plant and equipment                         26,000            

9. Trademarks                                        28,000

10.   Fixtures and fittings                         17,000

Total non-current assets =                $192,000

Thus, the total non-current assets are $192,000 and the current assets total $64,000.

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Answer:

x>-7

Step-by-step explanation:

Answer:

x>-7

It wont always be easy, but always try to do what ' s right!

   In a world of worriers, be the warrior!

        When nothing goes right, go left.

Family background refers to the culture and tradition of the family into which a person is born.

Family background refers to the culture and tradition of the family into which a person is born. it is worthy of note that most of this family traditions are unspoken yet are firmly entrenched in the psyche of individual as he/she grows.

My family is strictly conservative having  had a Southern Baptist orientation. My dad believes deeply in  religion and a moralist and perfectionist.

As a  result of this, I find myself always grappling with the unfortunate disorder in the world; always trying to bring order to my world as much as I can.

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Answer:

D. f(x) = -|x+4| +3

The graph is flipped over the x-axis (facing down) so there's a negative sign in front of the function. It's shifted to the left 4 units so it'll be |x+4|. Finally, it's shifted up 3 units so it'll be +3 outside of the absolute bracket.

NOTE: if there's a change to the x value then it's inside the bracket or parenthesis, if there's a change to the y value then it's outside of the bracket or parenthesis

Answer:

  260 square feet

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW

The area of two same-size rectangular rooms will be double the area of one of them.

__

Each room has an area of ...

  A = LW = (13 ft)(10 ft) = 130 ft²

The order for carpet must be for 2 times the area of one room:

  carpet order = 2 × 130 ft² = 260 ft²

Jerry should order 260 square feet of carpet.

The method that can be used to randomly choose these 500 people is the use of systematic random sampling.

Random sampling is defined as the method of sampling in which the whole sampling frame is being considered.

In order the survey a community of people to see whether they are willing to have their taxes increased for one year to fund the construction of the skate park, both the male and female should be considered.

The systematic random sampling will give the both male and female equal opportunity to the chosen.

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The attached graph represents the scatter plot of the points

The lists of options are not given. So, I will plot the points and upload the scatter plot as an attachment.

The points are given as:

(1,31), (2,8), (3, 38), (4, 14), (5, 22), (6, 31), (7, 27), (8, 47), (9,34), (10,3), (11, 33), (12, 35)

The above points would be plotted using the following scale:

See attachment for the scatter plot

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Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the slope of this graph; we are provided with two points:

[tex]\star~\mathrm{(6,0)}[/tex]

[tex]\star~\mathrm{(0,-5)}[/tex]

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Here's the formula:

[tex]\star~\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}[/tex]

Where

y2 and y1 are y-coordinates

x2 and x1 are x-coordinates

Substitute the values:

[tex]\star~\mathrm{\cfrac{-5-0}{0-6}}}[/tex]

Simplify!

[tex]\star~\mathrm{\cfrac{-5}{-6}}}[/tex]

Simplify more!

[tex]\star~\mathrm{\cfrac{5}{6}}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

Based on the cost of the contract and the probability to win it, the total expected value of the contract proposal is -$2500.

The general formula to calculate the expected value is:

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The correct answer is : of those planning to not to go on vacation, more of them are women.

The correct answer is (C)

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event

Given:  total people asked =145

The first option is not correct because plan to go on vacation women are more than men.

The second option is also incorrect because more women were asked than men.

The third option is correct because out of planning who were not going any vacation, women are more than of men.

The fourth option is incorrect because More men plan to go on vacation.

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The complete question is

"Triangle QST is isosceles, and Line segment R T bisects AngleT. Triangle Q S T is cut by bisector R T. The lengths of sides S T and Q T are congruent. Line segments S R and R Q are congruent. Angles S T R and R T Q are congruent. What is true about AngleQRT?

Select two options. Measure of angleQRT = 90° Measure of angleQRT = Measure of angleSRT AngleQRT Is-congruent-to AngleSTQ Measure of angleQRT = 2*Measure of angleRTQ AngleQRT Is-congruent-to AngleRTQ"

The true about AngleQRT options are A abd B; ∠QRT = 90 and ∠QRT = ∠SRT

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Given information;

The triangle QST is isosceles with QT ≅ ST.

The ∠STR and ∠RTQ are congruent.

Now, consider two triangles ∠QTR and ∠STR

In the following triangle

TR  ≅  TR

QTR ≅ STR

QT ≅ ST

Now, according to SAS rule, two congruent triangles have congruent corresponding to their sides,

1. QR ≅ SR

2. QRT ≅ SRT

Since the above two angles are congruent so, they will have the same measure

That will be 90 degree.

Hence, The correct options are; ∠QRT = 90 and ∠QRT = ∠SRT

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Answer:

0

Step-by-step explanation:

[tex]~~~(-37+37 )\div(-15)\\\\=0\div (-15)\\\\=0[/tex]

Answer:

0

Step-by-step explanation:

Following PEMDAS -37+37 is 0 and 0/-15 is also 0

Answer: Point D

Step-by-step explanation:

92 is in between 81 and 100, so [tex]9 < \sqrt{92} < 10[/tex]

Answer:

Hoang has been at the hospital for 12 years while Bill has worked for 7 years.

Step-by-step explanation:

Let the years Hoang has worked as a nurse equal h and let the years Bill has worked as a nurse equal b.

Since Hoang has worked 5 years longer, h is five more than b:

h = b + 5

Now we move onto the situation 2 years ago. 2 years ago, Hoang had worked at the hospital two less than h or h-2 years while Bill has worked for b-2 which is two years less than b. We are also told that at the time, Hoang worked twice as longs, so

h - 2 = 2(b - 2)

This can be simplified:

h - 2 = 2b - 4

h = 2b - 2

We can use substitution. Since h = b + 5 and h = 2b - 2,

b + 5 = 2b - 2

b = 7

Therefore, since Hoang has worked five more years, h = 12. So, Hoang has been at the hospital for 12 years while Bill has worked for 7 years.

The range of possible values that best describes an estimate for the population parameter is; (0.5, 0.8)

The range of possible values that best describes an estimate for the population parameter is; (0.5, 0.8).

When we are talking about population parameters, we also have to look at the way of estimating the population, we have to add two extremes and divide by 2.

Thus, the correct one is;

(0.5 + 0.8)/2 = 0.65

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3.75 quarts of paint does Argelis have left with her.

A unit of volume for measuring liquids. 1 gallon = 4 quarts = 8 pints = 16 cups = 128 fluid ounces.

Here, we know that,

1 gallons = 4 quarts

so, 1/2 gallons = 1/2 X 4 = 2 quarts.

and 1/4 gallons = 1/4 X 4 = 1 quarts.

Now, total paint left with Argelis = 1/2 gallons + 3/4 quarts + 1/4 gallons

                                                     =  2 quarts + 3/4 quarts + 1 quarts

                                                    = 3 quarts + 3/4 quarts

                                                    = 15/4 quarts or 3.75 quarts

Thus, 3.75 quarts of paint does Argelis have left with her.

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After 7 weeks the plant will 11.25 units tall if the equation for the best-fit line to be y = 2.5 + 1.25x.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

We have a line of best fit:

y = 2.5 + 1.25x

Plug x = 7 weeks

y = 2.5 + 1.25(7)

y = 11.25 units

Thus, after 7 weeks the plant will 11.25 units tall if the equation for the best-fit line to be y = 2.5 + 1.25x.

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The expression that represents the volume, in cubic units, of the shaded region of the composite figure is option: A. One-half(14)(10)(8) – π(2.52)(8).

If the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is same as its base,

then its volume is:

V = B x  h

where h is the height of that prism and B is the area of the base of that prism.

Given:

Base side length =14 and 10 units

Height=8 units

Diameter=5 units

The volume of the shaded region is;

Expression =  1-( half 14)(10)(8) - π(2.52)(8)

Expression = 1-(7) (10)(8) - π(2.52)(8)

Expression = 1- (560)- 63.33

Expression = -559-63.33

Expression = -622.33

Hence, The expression that represents the volume, in cubic units, of the shaded region of the composite figure is option: A. One-half(14)(10)(8) – π(2.52)(8).

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answer: A

the first one

The percent change if a city that used to produce 2050 kilowatt hours has reduced their consumption to 1125 kilowatt hours is 45.122% decrease.

Percent increase and percent decrease are measures of percent change, which is the extent to which a variable gains or loses intensity, magnitude, extent, or value.

we know,

% change = (final- initial) / initial * 100

=(1125-2050)/1125 *100

=45.122%

Hence, percentage change be 45.122% decrease.

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Answer:

50.13

Step-by-step explanation:

We can easily find the area of our square, so to get that over with, 6*6=36. Now, for our circle, a full circle would be A=pi*r^2, but we only have half a circle. That means our equation will be A= 1/2(pi*r^2). We have our diameter, but we need our radius. Radius is just half the diameter, so 6/2=3. Now, we multiply. 3^3 is 9, and 9*3.14 is 28.26. All we have to do now is divide that by 2. If we do that, we get 14.13. The area of the semi-circle is 14.13. But we still have to add it to the area of the square, which will be our final step. 36+14.13=50.13, which is your area.

Hope this helps!

Answer: 64

Step-by-step explanation:

[tex]10x+8+5x-4=12x+16\\15x+4=12x+16\\3x+4=16\\3x=12\\x=4\\\\LN=12(4)+16=\boxed{64}[/tex]