algebra 2 question need help.​

Algebra 2 Question Need Help.

Answers

Answer 1

Answer: Choice C

h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

===========================================

Explanation:

When reflecting the function f(x) over the y axis, we replace every x with -x and simplify like so

f(x) = -x^4 - 2x^3 + 3x^2 - 4x + 5

f(-x) = -(-x)^4 - 2(-x)^3 + 3(-x)^2 - 4(-x) + 5

f(-x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

Note the sign changes that occur for the terms that have odd exponents (the terms -2x^3 and -4x become +2x^3 and +4x); while the even exponent terms keep the same sign.

The reason why we replace every x with -x is because of the examples mentioned below

-----------

Examples:

The point (1,2) moves to (-1,2) after a y axis reflection

Similarly, (-5,7) moves to (5,7) after a y axis reflection.

As you can see, the y coordinate stays the same but the x coordinate flips in sign from negative to positive or vice versa. This is the direct reason for the replacement of every x with -x.


Related Questions

A signalized intersection has a cycle length of 70 seconds. For one traffic movement, the displayed all-red time is set to 2 seconds while the displayed yellow time is 5 seconds. The effective red time is 37 seconds and the total lost time per cycle for the movement is 4 seconds. What is the displayed green time for the traffic movement

Answers

Answer:

the displayed green time for the traffic movement is 30 seconds

Step-by-step explanation:

Given the data in the question;

Cycle length; C = 70 seconds

Displayed all-red time; AR = 2 seconds

Displayed yellow time; Y = 5 seconds

Effective red time; r = 37 seconds

total lost time per cycle; [tex]t_L[/tex] = 4 seconds

the displayed green time for the traffic movement; G = ?

First we determine the Effective green time ( g );

Effective red time; r = Cycle length; C - Effective green time ( g )

so,

Effective green time ( g ) = C - r

we substitute

Effective green time ( g ) = 70 seconds - 37 seconds

Effective green time ( g ) = 33 seconds

Now,

Effective green time ( g ) = displayed green time; G + Displayed yellow time; Y + Displayed all-red time; AR - total lost time per cycle; [tex]t_L[/tex]

i.e

g = G + Y + AR - [tex]t_L[/tex]

we substitute

33 = G + 5 + 2 - 4

33 = G + 3

G = 33 - 3

G = 30 seconds

Therefore, the displayed green time for the traffic movement is 30 seconds

Suppose you are a civil engineer, specializing in traffic volume control for the City of Grand Rapids. Your department has been receiving a multitude of complaints about traffic wait times for a certain intersection in the heart of downtown. To see if these claims are valid, you want to monitor the true average wait time at that intersection. Over the course of a few months, you record the average number of minutes a car waits at the intersection between 4:00 PM and 5:00 PM. With a sample size of 9 cars, the average wait time is 6.79 minutes with a standard deviation of 2.2175 minutes. Construct a 99% confidence interval for the true average wait time for a car at the intersection between 4:00 PM and 5:00 PM.

Answers

Answer:

(4.31 ; 9.27)

Step-by-step explanation:

Given :

Sample size , n = 9

Mean, x = 6.79

Standard deviation = 2.2175

The confidence interval :

Xbar ± Margin of error

Margin of Error = Zcritical * s/√n

Zcritical at 99% ; df = n - 1 = 9 - 1 = 8 = 2

Zcritical at 99% = 3.355

Margin of Error = 3.355 * 2.2175/√9 = 2.480

Lower boundary = 6.79 - 2.480 = 4.31

Upper boundary = 6.79 + 2.480 = 9.27

(4.31 ; 9.27)

A company's sales force makes 400 sales calls, with 0.25 probability that a sale will be made on a call. What is the probability that between 75 (inclusive) and 95 (inclusive) sales will be made? Enter your answer as a decimal value, rounded to 4 decimal places.

Answers

Answer:

0.8629

Step-by-step explanation:

Given :

Number of trials, n = 400

p = 0.25

q = 1 - p = 1 - 0.25 = 0.75

With the information given, we could use a binomial probability relation to solve :

Recall : P(x = x) = nCx * p^x * q^(n-x)

Therefore, the probability that between 75 (inclusive) and 95 (inclusive) can be interpreted as :

P(75≤X≤90) = P(X ≥ 75) - P(X ≤ 90)

Using a binomial probability calculator :

P(X ≥ 75) = 0.9987

P(X ≤ 90) = 0.1358

0.9987 - 0.1358 = 0.8629

The Bransen Family picked 20 red apples, 28 yellow apples, and 12 bushel of green apples. Starting the following day, they ate 2 red apples and 3 yellow apples every day. When 6 red apples are left, how many yellow apples will be left?

Answers

9514 1404 393

Answer:

  7

Step-by-step explanation:

The number of red apples (r) in terms of the number of days (d) is ...

  r = 20 -2d

The number of yellow apples (y) in terms of the number of days (d) is ...

  y = 28 -3d

Using the first equation to write and expression for d, we can substitute into the second equation.

  r -20 = -2d

  (20 -r)/2 = d . . . . from the first equation

Then ...

  y = 28 -3(20 -r)/2 = 28 -30 +3/2r = (3/2)r -2

For 6 red apples left, the number of yellow apples left is ...

  y = (3/2)(6) -2 = 7

7 yellow apples will be left when 6 red apples are left.

Wilcox, chief executive officer and chairman of the board of directors, owned 60 percent of the shares of Sterling Corporation. When the market price of Sterling’s shares was $22 per share, Wilcox sold all of his shares in Sterling to Conrad for $29 per share. The minority shareholders of Sterling brought suit against Wilcox demanding a pro rata share of the amount Wilcox received in excess of the market price. a. What are the arguments to support the minority shareholders’ claim for a pro rata share of the amount Wilcox received in excess of the market price? b. What are the arguments to reject the minority shareholders’ claim for a pro rata share of the amount Wilcox received in excess of the market price? c. Which side should prevail?

Answers

Answer:

Sterling Corporation

a. Arguments to support the minority shareholders' claim include:

1. If there is a provision to this effect in the Shareholders' agreement,

2. If the minority shareholders can prove that Wilcox oppressed the minority shareholders by selling off his shares in the corporation, and

3. If the Shareholders' agreement forbids Wilcox from selling off his shareholdings.

b. The arguments to reject the minority shareholders' claim include:

1. As the majority shareholder, Wilcox dictates the direction of firm until the sale-off.

2. Wilcox is within his rights to sell his shares to Conrad.

3. Wilcox does not oppress the minority shareholders with the sale to Conrad.

c.  Wilcox should prevail.  Apparently, he did not act illegally or contrary to agreement.

Step-by-step explanation:

Shareholding of Wilcox (chief executive officer and chairman of the BOD) = 60%, which is > 50%.

Shareholding of Minority shareholders = 40%, which is <50%

Market price per share of Sterling Corporation = $22

Selling price of Wilcox's shares = $29

Excess of the market price = $7 ($29 - $22)

After receiving a discount of 14.5% on its bulk order of toner cartridges, John's Office Supply pays $6,498.00. What was the price of the order before the discount?​

Answers

?Answer:

Step-by-step explanation:

Randomly picking a green care from a standard deck of playing cards

Answers

Okayyyyyyyyyyyyyyyyyyy

Which angles are right?

Answers

Answer:

right angle triangles with ninty degree

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^


[tex]a2 \div a - b + b2 \div b - a[/tex]

Answers

Answer:

0

Step-by-step explanation:

Given

a² ÷ a - b + b² ÷ b - a ← perform the division calculations

= a - b + b - a ← collect like terms

= 0

Answer:

0

Step-by-step explanation:

=a^2/a-b+b^2/b-a

=here denominator which divides a^2 and b^2 gets cancelled

=a-b+b-a

=+a-a and +b -b gets cancelled

and answer is 0

A building code allows a maximum of 140 people in a meeting room. There is one large table in the room, along with some small tables. When filed, the large table seats 15 people, and the small table each seat 5 people. Which of the following can be used to find t, the greatest number of small tables that can be filled when the large tables are also filled?

Answers

Answer:

25 tables

Step-by-step explanation:

140-15=125

after the big table is filled 125 people are left

small tables fit 5 people

125÷5=25

1 big table and 25 small tables are needed to seat everyone

…..25 tables!!!…






…….hope ……this helps you! …..

36. Saudi Arabia has proven oil reserves of
2.63 x 1011 barrels. Kuwait has proven oil
reserves of 9.78 x 1010 barrels. Canada
has proven oil reserves of 1.789 x 1011
barrels. What are the combined proven
oil reserves of the three countries?

Answers

Answer:

5.397*10^11

Step-by-step explanation:

2.63*10^11

0.978*10^11

1.789*10^11

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

5.397*10^11

What is the LCD for the given equation? 1/v^2=1/3v-2/v^2

Answers

V=9
that’s what I got.

3 A random sample of 100 PUJ (public utility jeep) shows that a jeepney is driven on the average 24,500 km per year, with a standard deviation of 3,900 kilometers a Construct a 99% confidence interval for the average number of km a jeepney is driven annually b. What can we assert with 99% confidence about the possible size of our error if we estimate the average number of km driven by jeepney drivers to be 23, 500kn per year

Answers

Answer:

Step-by-step explanation:

Thank you for the help I need it for a test so if I could have ASAP thank you

Answers

What’s the question

What are the domain and range of the function below? domain: (-40)
range: (-2,00)
domain: (-3,0)
range: [-2.00)
domain: (-0,00
range: -2.00)
domain: [-2.00)
range
CO

Answers

range{-2,00)

Step-by-step explanation:

In the graph the domain is {-3, -1, 0, 1, 2} and range is {-2, 1}

What is a function?

A relation is a function if it has only One y-value for each x-value.

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

If the relation is, R = {(2, 1), (1, 1), (0, 1), (-1, -2), (-3, -2)}, then:

Domain = the set of all x-coordinates = {-3, -1, 0, 1, 2}

Range = the set of all y-coordinates = {-2, 1}

To learn more on Functions click:

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I need the answer fast pls

Answers

82 and 86 is the answer

M drives past two traffic lights. Probability that both are red is .35 and probability that firest is red is .48. wht is probability that second light is red, given that first light is red?

Answers

Answer:

Step-by-step explanation:

Overall probability = Probability1 *Probability2

Using the data you already have, you can fill it in as

0.35 = 0.48 * P2

Rearrange to isolate P2, by dividing both sides by 0.48, so

0.35/0.48 = P2

P2 = 0.7291666..., which rounded to two d.p is 0.73

So d)0.73 is correct

26) Cary hiked 18 miles in 6 hours. If he continues at the same pace, how much farther can he hike in the next 2 hours?

27) Harry made 4 hits in 9 times at-bat. If she keeps the same success level, how many hits should she make in 18 times
at-bat?

28) In how many ways can 18 hikers be organized into 2 or more groups for trail clearing if all groups have the same number of hikers?

Mixed Review

Use the rules of divisibility to solve each problem below. Tell whether each number is divisible by 2, 3, 4, 5, 6, 9, or 10.

29) 12

30) 30

31) 360

32) 96

Answers

Answer:

same question

Step-by-step explanation:

If you know how to solve this, Please answer it. Thank You

The first one to answer the question right, will get Brainlist!

I PROMISE!!!!!​​

Answers

g(x) = 13
f(x) = 25
25{13(5)}= 1625
Answer: 13

Explanation:
f{g[h(x)]}
= f{g[5]}
= f{5 + 8}
= f{13}
= 13^2
= 169

Each (hypothetical) data set below represents some readings on span gas. Assume the Gauss model, with errors following the normal curve. However, bias may be present. In each case, make a t-test to see whether the instrument is properly calibrated or not. In one case, this is impossible. Which one, and why?

a. 71, 68, 79
b. 71, 68, 79, 84, 78, 85, 69
c. 71
d. 71, 84

Answers

Answer:

71 ( C ).

Step-by-step explanation:

The impossible case is the third case i.e.71

because there is only one reading on the span gas hence it is impossible to carry out a t-test on just one valid reading in an experiment.

PLEASE HELP WILL GIVE BRAINLIEST

WHAT IS DIVIDED BY 196

Answers

Answer:

1, 2, 4, 7, 14, 28, 49, 98, and 196.

Step-by-step explanation:

If the function f(x)=Mx+b has an inverse function , which statement must be true

Answers

m≠0, m must not be zero. I hope this helps!

jkajkajkamkjsjsnjjkakkamabzbnananajao

Answers

Answer:

Sin T = 0.28

Step-by-step explanation:

Here in this question

Hypotenuse = 25

Base = 24

The third vertex of the triangle is Sqrt (25*25 - 24*24) = 7

SinT = Perpendicular/Hypotenuse

SinT = 7/25

Sin T = 0.28

help with this please

Answers

Answer:

( x + 2 ) and ( x - 11 )

Step-by-step explanation:

x² - 9x - 22 = 0

x² + 2x - 11x - 22 = 0

x ( x + 2 ) - 11 ( x + 2 ) = 0

( x + 2 ) ( x - 11 ) = 0

Factors of x² - 9x - 22 are ( x + 2 ) and ( x - 11 ).

Answer:

( x - 11 ) ( x + 2 )

Step-by-step explanation:

x² - 9x - 22 = 0

→ Write 2 factors which multiply to -22 and add to -9

-11 and 2

→ Put the factors into brackets

( x - 11 ) ( x + 2 )

y is directly proportional to the positive square root of( x+2)² when x = 8 y= 250 find y when x = 4​

Answers

Answer:

150

Step-by-step explanation:

Since y is directly proportional to sqrt((x+2)^2), there is a constant,k, such that

y=ksqrt((x+2)^2)

We are given a pair (x,y) in this relation. Let's plug in (8,250 ) to find k.

250=ksqrt((8+2)^2)

250=ksqrt((10)^2)

250=k10

250/10=k

25=k

So for any pair (x,y) we have the relation y=25((x+2)^2).

We are asked to find y when x=4.

y=25((4+2))^2

y=25(6)

y=150

Test to see if y is proportional to sqrt((x+2)^2)

For the given points: 250/150=10/6

The equation is true so we're great.

Please look at the image

Answers

Answer:

STN = 65 Completing the 180 degrees

115+m(STN)=180

m(STN)=65

mNTR=115

because The NTR and MTS meet theyself

mRTM=65

same The NTR and MTS

because RTM ans STN meet theyself

hopefully you understand it

i am trying hard to explain the question when i solve it but my engilish is not helping to handle it

A program evaluator wanted to know if a combination of experience and education gave leadership candidates an advantage in meeting job performance standards better than experience alone, or education alone. There were a total of 39 candidates who had both experience and education, and 200 candidates who had either experience or education. Of the candidates who had both experience and education, 21 met the standards, while 18 did not meet the standards. Of the candidates who had only experience or education, 100 met the standards, and 100 did not meet the standards.
Select the correct statistical test to determine if there is a relationship between preparation and meeting the standards, calculate the results, and communicate the results.
a. None of the choices are correct.
b. A Spearman rs is the best choice. The test reveals that there is a strong correlation between preparation and meeting the standards (rs = [237] = 1.00, p <.05). This means there is a relationship between the variables.
c. A chi-square test would be the best choice for examining observed data. The results are significant, (X- [1, N = 239] = 0.19, p<.05). This means that there was a relationship between preparation and meeting the standards, we reject the null hypothesis that the variables are independent.
d. A chi-square test would be the best choice for examining observed data. The results are not significant (X4 [1, N = 239] = 0.19, p > .05). This means that there was not a relationship between preparation and meeting the standards, we retain the null hypothesis that the variables are independent.

Answers

Answer:

pol

Step-by-step explanation:

Three plants manufacture hard drives and ship them to a warehouse for distribution. Plant I produces 54% of the warehouses inventory with a 4% defect rate. Plant II produces 35% of the warehouses inventory with an 8% defect rate. Plant III produces the remainder of the warehouses inventory with a 12% defect rate. (a) (5 points) A warehouse inspector selects one hard drive at random. What is the probability that a randomly selected hard drive is defectiv

Answers

Answer:

A. 0.028

B. 0.0628

C. 0.45

Step-by-step explanation:

A. Calculation to determine the probability that it is adefective hard drive and from plant II

Using CONDITIONAL PROBABILITY formula

P(B∩A2) =P(A2)P(B|A2)

Let plug in the formula

P(B∩A2)= 0.35×0.08

P(B∩A2)= 0.028

Therefore the probability that it is adefective hard drive and from plant II will be 0.028

B. Calculation to determine the probability that a randomly selected hard drive is defective

Using LAW OF TOTAL PROBABILITY formula

P(B) =P(A1)P(B|A1) +P(A2)P(B|A2) +P(A3)P(B|A3)

Let plug in the formula

P(B)= 0.54×0.04 + 0.35×0.08 + 0.11×0.12

P(B)=0.0216+0.028+0.0132

P(B)= 0.0628

Therefore the probability that a randomly selected hard drive is defective is 0.0628

C. Calculation to determine the probability that it came from plant II

Using CONDITIONAL PROBABILITY formula two twice

P(A2|B) =P(A2∩B)/P(B)

Let plug in the formula

P(A2|B)=0.0280/0.0628

P(A2|B)= 0.45

Therefore the probability that it came from plant II is 0.45

help!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D. 1/5

Step-by-step explanation:

Because

0.2222...>0.2>0.12

The answer is 1/5 hope that helps

An envelope is 6 cm longer than it is wide. The area is 72 cm squared, find the length and the width.

Answers

Answer:

full length would be 56 and width 42

Step-by-step explanation:

The required length and width of the envelope are given as 12cm and 6cm respectively.

Given that,
An envelope is 6 cm longer than it is wide. The area is 72 cm squared.

What is surface area?

Surface area is defined as the measure of a region or surface is called as surface area.

Here,
Let the width of the envelope be x,
According to the question,
Length of the envelope = x + 6
Area of the envelope = (x + 6)x
(x + 6)x = 72
x² + 6x -72 = 0
(x + 12)(x - 6) = 0
x = 6 and x = -12
We consider x = 6 because the measure of length is always positive,
Length  = x + 6 = 6 + 6 = 12

Thus, the required length and width of the envelope is given as 12cm and 6cm.

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