Simplify (2 − + 1) + 5 and find its value for a = -2.

Answers

Answer 1

Answer:

Part A

a·(a² - a + 1) + 5·a = a³ - a² + 6·a

Part B

The value of a·(a² - a + 1) + 5·a, for a = -2 is -24

Step-by-step explanation:

Part A

The given function is a·(a² - a + 1) + 5·a

The function is simplified by expanding the product of sums into sums of products, as follows;

a·(a² - a + 1) + 5·a = a × a² - a × a + a × 1 + 5·a = a³ - a² + a + 5·a = a³ - a² + 6·a

The function, a·(a² - a + 1) + 5·a, in simplified format is therefore;

a·(a² - a + 1) + 5·a = a³ - a² + 6·a

Part B

When a = -2, we get;

(a³ - a² + 6·a)[tex]_{a = 2}[/tex] = (-2)³ - (-2)² + 6·(-2) = -8 - 4 - 12 = -24


Related Questions

lol it looks easy but everytime i submit my answer it ends up wrong sooo help pls

Answers

Answer:

(y+8)(y+2)

Step-by-step explanation:

y^2 + 10y + 16

What two numbers multiply to 16 and add to 10

8*2 = 16

8+2 =10

(y+8)(y+2)

y^2+10y+16
y^2+8y+2y+16
y(y+8)+2(y+8)
(y+8)(y+2)

Find the equation of the line that is perpendicular to the line
y = x-9 and passes through the point (7,9).

Answers

Answer:

[tex]y=-x+16[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)

1) Determine the slope (m)

y=x-9

Rewrite the equation

y=1x-9

Now, we can identify clearly that the slope of the line is 1. The negative reciprocal of 1 is -1, so therefore, the slope of a perpendicular line would be -1. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-1x+b\\y=-x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-x+b[/tex]

Plug in the given point (7,9) and solve for b

[tex]9=-7+b[/tex]

Add 7 to both sides to isolate b

[tex]9+7=-7+b+7\\16=b[/tex]

Therefore, the y-intercept is 16. Plug this back into [tex]y=-x+b[/tex]:

[tex]y=-x+16[/tex]

I hope this helps!

PLEASE HELP!! This is timed, but I don't recall ever learning this info T-T
I'll mark brainliest!!

Answers

Answer:

c

Step-by-step explanation:

i hope it helped ᘳ◕ᴥ◕ᘰ

Graph the system below and write its solution.
2x+y=4
1
y =
2*-1
Note that you can also answer "No solution" or "Infinitely many" solutions.
.
Solution:
?
No
solution
Infinitely
many
(0,0)
0
5
?

Answers

Answer:

2x+y=4

2times-1 is -2

2x+-2=4

2x=4

x=2

Find mZB.
Round to the nearest degree.
11
B В
7.
15

Answers

Answer:

m∠B = 111º

Step-by-step explanation:

use law of cosines

c² = a² + b² - 2ab*cosC

---------------------------------

15² = 7² + 11² - 2(7)(11)cosB

225 = 49 + 121 - 154cosB

225 = 170 - 154cosB

Subtract 170 form both sides

55 = -154cosB

Divide both sides by -154

-0.3571428571 = cosB

m∠B = arccos -0.3571428571

use calculator

m∠B = 110.924832425009406

Rounded

m∠B = 111º

find the measure of angle c

Answers

Answer:

add 7+5 and 3+9 and then subtract both answers together and the answer you get should be the answer if the degree

Add 7+3 and then add 5+9 and subtract both

Mrs. Archer is doing a painting project with her art class. She uses a large jug with 28.5 ounces of blue paint to fill 6 smaller bottles. If she divides the paint evenly, how much paint will be in each bottle?

Answers

Answer:

4.75

Step-by-step explanation:

Divide 28.5 evenly with 6 because thee are 6 bottles. Then you receive 4.75

Hope this helps

please help me answer this!!

Answers

Answer:

(x, y) = (10, 290)

Step-by-step explanation:

From the table

Total fees = fixed + variable

Fixed:

When number of times Ahmed mowed, x = 0

y = 40

When x = 2, y = 65

Rate of change = y2 - y1

= 65 - 40

= 25

y = 40 + 25x

Where,

y = total fees charged

40 = fixed fee

25x = variable fee

Total amount Ahmed will make for mowing 10 times

when x = 10

y = 40 + 25x

y = 40 + 25(10)

= 40 + 250

= 290

y = 290

(x, y) = (10, 290)

please help me oh my lord

Answers

Answer:

A

Step-by-step explanation:

C my father owns cloud9 so I know I’m right

Math question. Genius, please answer correctly.

Answers

Answer:

16-31     20, 18,25,28,31,23,19,27,22,25,20     11

32-47      33,42,36,41,47     5

48-65     65,52,61,50     4

Step-by-step explanation:

pleaseeee helpppp meee!!

Answers

Answer:

15 players on each team

Step-by-step explanation:

- 2 players from EACH team is subtracted= 2(players)x6(teams) = 12 players in total off the field

- now there are only 78 players on the field

(78+12)/6= 15

-Adding the amount of players on the feild and the players that were sent for equitment is 90. Then dividing 90 by the amount of teams there are, 6

1250 people visit a certain website every day. At this rate, how many visitors will the site receive in a week?

Answers

Answer:

8750 people

Step-by-step explanation:

1250 * 7   (7 days in a week)

8750 people

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Type the correct answer in each box. The reflection of point S across the y-axis is point . The reflection of point Q across the x-axis and the y-axis is point , whose coordinates are (, ).

Answers

Answer:

[tex]S' = (-5,-5)[/tex]

[tex]Q"=(-5,-5)[/tex]

Step-by-step explanation:

Given

[tex]S = (5,-5)[/tex]

[tex]Q= (5,5)[/tex]

Solving (a): Reflect S across y-axis

The rule to reflect across y-axis is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]S(5,-5) \to S'(-5,-5)[/tex]

Hence:

[tex]S' = (-5,-5)[/tex]

Solving (b): Reflect Q across x and y-axis

The rule to reflect across x-axis is:

[tex](x,y) \to (x,-y)[/tex]

So:

[tex]Q(5,5) \to Q'(5,-5)[/tex]

The rule to reflect across y-axis is:

[tex](x,y) \to (-x,y)[/tex]

So:

[tex]Q'(5,-5) \to Q"(-5,-5)[/tex]

Hence:

[tex]Q"=(-5,-5)[/tex]

i dont get it either

Step-by-step explanation:

can someone pls help for brainlest

Answers

Answer:

12.56 in ^2

Step-by-step explanation:

First find the area of a circle with radius 4

A = pi r^2

A = (3.14) 4^2

A =50.24

Since it is 1/4 of a circle, multiply by 1/4

1/4 ( 50.24)

12.56

Answer:

Quarter circle's area is 12.56 inches².

Step-by-step explanation:

Concept:- Firstly, we need to find the area of circle and Since, it is quarter of circle we need to multiply the area of circle by 1/4. and we get answer

✯ Solution ✯

Finding area of circle

Using Formula

Area of circle = π × r ²

Where,

r ,is the radius of circle

And we have given

Radius, r of circle is 4 in.Value of π is 3.14

Substitute the value into the formula

Area of circle = 3.14 × ( 4 in. )/²

now,

Area of circle = 3.14 × 16 in ².

multiply , we get

Area of circle is 50.24 nches ²

As have to find the quarter circle's area ,

and we know that quarter is the one fourth of the circle .

Quarter circle's area = Area of circle × 1/4

Multiply , we get

Quarter circle's area = 50.24 × 1/4

Therefore, quarter circle's area is 12.56 inches².

what is lighter than a feather but the strongest man can't hold for 5 minutes​

Answers

Answer:

obviously our breathe is lighter than a feather but the strongest man can't hold for 5 minutes.

Answer:

breathe

Step-by-step explanation:

breathe. air is light but even the strongest man can't hold for 5 minutes

8 × 4 ÷ 3 + 5 2 - 8 Can Someone Answer This Algebra Question

Answers

Answer:

164/3

Step-by-step explanation:

164/3 just divide the fraction for your answer.

Select the correct answer.
How would you write this expression as a sum or difference?

[tex]log_{3} (^{5\sqrt{x}} X y )[/tex]

Answers

Answer:

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5) + \log_{3}(\sqrt{x}) +\log_{3}( y )[/tex]

Step-by-step explanation:

Given

[tex]\log_{3} ({5\sqrt{x}} * y )[/tex]

Required

Write as sum or difference

Using addition law of logarithm, the equation becomes:

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5\sqrt{x}) +\log_{3}( y )[/tex]

Expand

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5 * \sqrt{x}) +\log_{3}( y )[/tex]

Apply addition law

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5) + \log_{3}(\sqrt{x}) +\log_{3}( y )[/tex]

Given csc(A) = 60/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!

Answers

Answer:

[tex] \frac{15 \sqrt{209} }{209} [/tex]

Step-by-step explanation:

Objective: Understand and work with trig identies.

Recall multiple trig identies and manipulate them to get from cosecant to secant.

Given

[tex] \csc(a) = \frac{60}{16} [/tex]

Apply reciprocal identity csc a = 1/sin a.

[tex] \sin(a) = \frac{16}{60} [/tex]

Apply pythagorean identity to find cos a.

[tex]( \frac{16}{60}) {}^{2} + \cos(x) {}^{2} = 1[/tex]

[tex] \frac{256}{3600} + \cos(x) {}^{2} = 1[/tex]

[tex] \cos(x) {}^{2} = \frac{3600}{3600} - \frac{256}{3600} [/tex]

We can simplify both expression

[tex] \cos(x) {}^{2} = \frac{225}{225} - \frac{16}{225} [/tex]

[tex] \cos(x) = \frac{ \sqrt{209} }{15} [/tex]

Cosine is positve on quadrant 1 so that cos(a)

Apply reciprocal identity sec a= 1/ cos a.

The answer is

[tex] \sec(a) = \frac{15}{ \sqrt{209} } [/tex]

Rationalize the denominator.

[tex] \frac{15}{ \sqrt{209} } \times \frac{ \sqrt{209} }{ \sqrt{209} } = \frac{15 \sqrt{209} }{209} [/tex]

28 Marks
.
Two numbers have these properties.
Both numbers are greater than 6.
Their highest common factor (HCF) is 6.
Their lowest common multiple (LCM) is 60.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and..

Answers

Answer:

HCF×LCM=a×b

6×60=a×b

a×b=360

So the numbers are whose product is 360 and LCM is 60

These two numbers can be 6,60 or 12,30

True or False: in a table of a proportional relationship, the ratio or y/x is constant.

Answers

Answer:

true

Step-by-step explanation:

It is True that in a table of a proportional relationship, the ratio or y/x is constant.

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

It is given that, y∝x

In order to eradicate the proportional sign introduces the constant as,

y=kx

k=y/x

k is the constant value.

Thus, it is True that in a table of a proportional relationship, the ratio or y/x is constant.

Learn more about the proportional here:

brainly.com/question/14263719

#SPJ2

Acircle with radius of 2 cm sits inside a llcm x 12 cm
rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.

Answers

Meowing meow meow explain: meow meow

Answer:

119.4

Step-by-step explanation:

The Area of the Rectangle : 132 cm

Area of the Circle : 12.6 cm

Shade=  MINUS - 132 cm  - 12.5 cm = 119.4!

Happy To Help! :)

45
24
K K
AM
51

15
17
15

8
15
O
8
17

Answers

Hope this help!!!

Have a nice day!!!!

Victor must choose one pair of pants, one shirt, and one tie to wear to work. His possible choice combinations are shown in the tree diagram below.


If Victor chooses these work clothes at random, what is the probability that he will choose tan pants, a white shirt, and a red tie?

1/12

1/4

3/7

4/9​

Answers

Answer:

should be 3/7 I think that's right

How many minutes will it take to bake 24 tortillas

Answers

Answer:

72 mins

Step-by-step explanation:

12 mins = 4 tortillas

1 tortilla = 3 mins

3x24=72

72 mins

Answer:

72 minutes

1 hour and 12 minutes

Step-by-step explanation:

[tex]\frac{4}{12}: \frac{24}{y}[/tex]

4 × y = 12 × 24

4y = 288

4y ÷ 4 = 288 ÷ 4

y = 72

What is the value of c?
30°
с

Answers

Answer:

c = 60°

Step-by-step explanation:

Since the measures are among a 90° angle, we need to subtract 30° from 90° which equals 60°

c = 60°

The correct answer is 60 degrees

A bag of cereal contains 12 blue marsh mellows, 16 red marshmellows , and 8 orange marsh mellows.If a marshmellow is picked from the bag at random, what is the probability that it is a red marsh mellow? Answers have been rounded to the tenths place.

Answers

Answer:

0.4 (decimal)

4/9 (fraction)

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Probability a red marshmallow is picked = number of red marshmallows in the bag / sum of marshmallows in the bag

sum of marshmallows in the bag = 12 + 16 + 8 = 36

Probability a red marshmallow is picked = 16/36

To transform to the simplest form. divide both the numerator and the denominator by 4

= 4/9

to convert to decimal, divide 4 by 9 = 0.4444

0.4 to the nearest tenth

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

The sales tax in a city in Chicago was 5.5%. Ms.M spent $60 on presents for
family members. What was Ms.M's total including sales tax?

Answers

Answer:

$63.30

Step-by-step explanation:

Assuming the $60 is excluding taxes:

60 * 1.055 = $63.30

WORTH 25 POINTS!!!!
match the following

Answers

Answer:

Step-by-step explanation:

Domain of a function is defined by the set of x-values (input values) and Range is the set of y-values (output values) of the function.

1). The range and domain of P = {(x, y)| y = 3}

Domain: Set of all real numbers

Range: {y: y=3}

2). The domain set of C = {(2, 5), (2, 6), (2, 7)}

 Domain: {2}

3). The range set of E = {(3, 3), (4, 4), (5, 5), (6, 6)}

  Range: {3, 4, 5, 6}

4). The range and domain set of F = {(x, y)| x + y = 10}

   Domain = Range = {All real numbers}

What is the value of X in the figure below? In this diagram ∆ABD is similar to ∆CAD.

Answers

Answer:

F. 45/4

Step-by-step explanation:

Corresponding sides have same ratio:

AB/AC = BD/AD

Find AB:

AB = [tex]\sqrt{20^2-15^2} = 5\sqrt{7}[/tex]

Find AD:

AD = √15²-x²

Now the ratio:

5√7/15 = (20 - x)/√(15²-x²)√7 *√(225-x²)= 3(20 - x)7(225 - x²) = 9(20 -x)²7*225 - 7x² = 9(400 - 40x + x²)1575 - 7x² = 3600 - 360x + 9x²16x² - 360x + 2025 = 0(4x)² - 2*4x*45 + 45² = 0(4x - 45)² = 04x - 45 = 04x = 45x = 45/4

Correct choice is F

1.
Line RK
Line TY
Line RU
Line PQ

2. Pick three
- X
- T
- Q
- U
- Y

3. Pick three
- X
- s
- P
- R
- U
- T

4.
Plane QRP
Plane XUY
Plane s
Plane TRY

5. Show work if possible pls
(1/2, 4)
(4, 1/2)
(8, 1)
(1, 8)

6. Round to one decimal point

7-11. Show work if possible plz!

Answers

Answer:

the answer is plane try I'm pretty sure it's that.

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Find the y-intercept of the quadratic function: g(x) = 52 + 9x + 4 (0, 18) (4.0) (0.4) (0,5) The location NASA in the city of Houston has impacted the state by A- Threatening the state's economy and providing a large number of jobs. B- Providing a large number of jobs, but threatening the environment.C- Adding to the state's economy and providing a large number of jobs. D- Providing some new jobs, but little to the economy of the state. pls help Help me plsthis is very important Use the maps to answer the questions that follow.Held by breater the Six Day WarLebanonSyriaGolaHeightsFUNDE PATEMediterranean SeaWestBankGatastripJordanSinalPeninsulacut of SuezEgyptSaudiArabia23SusTre was sy WideRed SeaLine NCC BOATSQuestion 32 of 50The map on the left shows:the original U.N. partition plan of the Palestinian MandateIsraeli troop movements during the 1948 Arab-Israeli War.sources of oil in the Middle East.suspected nuclear facilities in Iraq, Find the value of angle y Suppose that XTel currently is selling at $30 per share. You buy 800 shares using $18,000 of your own money, borrowing the remainder of the purchase price from your broker. The rate on the margin loan is 8%.a. What is the percentage increase in the net worth of your brokerage account if the price of XTel immediately changes to (a) $33; (b) $30; (c) $27? (Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)b. If the maintenance margin is 25%, how low can XTels price fall before you get a margin call? (Round your answer to 2 decimal places.)c. How would your answer to requirement 2 would change if you had financed the initial purchase with only $12,000 of your own money? (Round your answer to 2 decimal places.)d. What is the rate of return on your margined position (assuming again that you invest $18,000 of your own money) if XTel is selling after one year at (a) $33; (b) $30; (c) $27? (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)e. Continue to assume that a year has passed. How low can XTels price fall before you get a margin call? At a sale this week, a suit is being sold for $235.60. This is a 62% discount from the original price.What is the original price? Which expressions are equivalent to62?Select all that apply.O 6-87.126-2676712712 The shareholders of Flannery Company have voted in favor of a buyout offer from Stultz Corporation. Information about each firm is given here: Define computer with its prossing meaning problemas da frica austral de hoje Find the surface area of a square pyramid with side length 4 and slant height 5. Name and explain ways the Europeans ruled or exerted control over their overseas colonies. What is the value of this expression when a = 7 and b = -4? 1201 - 6 3 OA. -6 OB. - 31 Oc. 37 D. 6 what number represents the same amount as 4 tens+0 ones An outside supplier offers to provide Epsilon with all the units it needs at $63.05 per unit. If Epsilon buys from the supplier, the company will still incur 35% of its overhead. Epsilon should choose to: Which theory would most likely explain why a commercial bank, which usually focuses on short-term securities, would switch to long-term securities due to a change in interest rates. pure expectation liquidity premium segmented market preferred habitat how to solve -4x+8y=-164x+3y=5 If the original quantity is 14 and new quantity is 35 what is the percent change Barbara is conducting an experiment to observe heat flow. She places one piece of metal in a freezer at -18 degrees Celsius (C) and a second piece of metal in an oven at 200 C. After 2 hours, she takes the metal pieces out of the freezer and oven and places them both in the same beaker of boiling water for two minutes. Which of the following best describes how some of the heat will initially move in this system?Heat will flow from the frozen metal into the hot metal.Heat will flow from the boiling water into the hot metal.Heat will flow from the boiling water into the frozen metal.Heat will flow from the frozen metal into the boiling water.