Match each quadratic graph to its respective function

Match Each Quadratic Graph To Its Respective Function
Match Each Quadratic Graph To Its Respective Function
Match Each Quadratic Graph To Its Respective Function
Match Each Quadratic Graph To Its Respective Function

Answers

Answer 1

Answer:

f(x) = (x - 3)(x + 1) → Corresponds with the first (raised higher ) ∪ shaped graph

f(x) = -2(x - 1)((x + 3) → Corresponds with the ∩ shaped graph

f(x) = 0.5(x - 6)((x + 2) → Corresponds with the second (lower) ∪ shaped graph

Step-by-step explanation:

For the function f(x) = (x - 3)(x + 1)

We have;

When x = 0, y = -3

When y = 0 x = 3 or -1

Comparing with the graphs, it best suits the first ∪ shaped graph  that rises here than the other ∪ shaped graph

For the function;

f(x) = -2(x - 1)((x + 3)

When x = 0, y = 6

When y = 0, x = 1 or -3

Which corresponds with the ∩ shaped graph

For the function;

f(x) = 2(x + 6)((x - 2)

When x = 0, y = -24

When y = 0, x = -6 or 2

Graph not included

For the function;

f(x) = 0.5(x - 6)((x + 2)

When x = 0, y = -6

When y = 0, x = 6 or -2

Which best suits the second ∪ shaped graph  that is lower than the other (first) ∪ shaped graph

For the function;

f(x) = 0.5(x + 6)((x - 2)

When x = 0, y = -6

When y = 0, x = -6 or 2

Graph not included

For the function;

f(x) = (x + 3)((x - 1)

When x = 0, y = -3

When y = 0, x = -3 or 1

Graph not included

Match Each Quadratic Graph To Its Respective Function
Match Each Quadratic Graph To Its Respective Function
Match Each Quadratic Graph To Its Respective Function
Answer 2

Answer:

The guy above me was right. i accidently put in the answers in the wrong order so i thought it was wrong and rated it 1 star

Step-by-step explanation:


Related Questions

The local ice cream shop offers 3 different types of cones and 15 different flavors of ice cream. How many possible ice cream cones (one scoop) can a customer order? a 40 b 18 c 45 d 35

Answers

Answer:

45

Step-by-step explanation:

There are 3 cones and 15 flavors

Multiply the number of cones by the number of flavors

3*15

45

There are 45 possible combinations

How does the period of f(x)= cos⁡(2x) relate to the period of the parent function cos⁡ x?

Answers

Answer:

Both have the same period which is 2π

Step-by-step explanation:


[tex] \sqrt[3]{y} = a(c + \frac{1}{x})[/tex]

Answers

Greetings from Brasil...

Here we don't have much to go

∛Y = A.(C + 1/X)

∛Y = (AC + A/X)

raising both members to the cube.....

(∛Y)³ = (AC + A/X)³

from Notable Products: (a + b)³ = a³ + 3a²b + 3ab² + b³

Y = (AC)³ + 3(AC)².(A/X) + 3AC(A/X)² + (A/X)³

Y = A³[C³ + (3C²/X) + (3C/X²) + (1/X³)]

Which shapes can be made from a planar cross section of a triangular pyramid? More than one can be correct: trapezoid, pentagon, isosceles triangle, rectangle, hexagon, scalene triangle, square, decagon, or equilateral triangle

Answers

Answer:

Triangle in isosceles, scalene or equilateral forms and

quadrilateral in trapezoid, rectangle or square forms

Step-by-step explanation:

Refer to pictures attached

Shapes can be formed are:

Trapezoid,  

when perpendicular  to base

Rectangle or square,

when  angle cross section to base

Isosceles triangle,

when base is isosceles triangle and parallel cross section to base,

or angle cross section

Scalene triangle,

when base is scalene triangle and parallel cross section to base,

or angle cross section

Equilateral triangle,

when base is equilateral triangle and parallel cross section to base,

or angle cross section

WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!! Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning.

Answers

Answer:

A graphing calculator is more accurate than graphing by hand. If the slope and/or y-intercept is a fraction or decimal, it is more difficult to accurately graph by hand.

Step-by-step explanation:

Answer:

WHEN U GRAPH WITH A CALCULATOR  IT IS MUCH MORE ACCURATE

ESPECIALLY IF THERE R FRACTIONS AND DECIMALS AND THE GRAPHING CALCULATOR GOES ON FOREVER WHERE AS THE GRAPHING PAPER  ENDS

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

          ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                         PEACE!

Hi how to solve this simultaneous equation

Answers

Answer:

[tex]\large \boxed{\sf \ \ x=\pm8 \ \ or \ \ x=\pm2 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

First of all, we can assume that x and y are different from 0, as we cannot divide by 0.

And from the first equation we can write y as a function of x as below.

[tex]y=\dfrac{16}{x}[/tex]

And then, we replace it in the second equation to get.

[tex]\dfrac{x}{\frac{16}{x}}+\dfrac{\frac{16}{x}}{x}=\dfrac{17}{4}\\\\<=> \dfrac{x^2}{16}+\dfrac{16}{x^2}=\dfrac{17}{4}\\\\\text{*** We multiply by }16x^2 \text{ both sides ***}\\\\x^4+16*16=\dfrac{17*16}{4}x^2\\\\x^4-68x^2+3600=0\\\\\text{*** The product of the zeroes is 3600 = 64*4 and the sum is 64+4=68 ***}\\\\\text{*** So we can factorise *** }\\\\x^4-64x^2-4x^2+3600=x^2(x^2-64)-4(x^2-64)=(x^2-64)(x^2-4)=0\\\\x^2=64=8^2 \ \ or \ \ x^2=4\\\\x=\pm8 \ \ or \ \ x=\pm2\\[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

This is probably pretty easy, I could solve all the other ones but I got stuck on this one.

Answers

Answer:

78

Step-by-step explanation:

Let x be the score on the next test

We are averaging 6 tests and want an average of 75

( 82+91+38+78+83+x) /6 = 75

Multiply each side by 6

( 82+91+38+78+83+x) = 75*6

( 82+91+38+78+83+x)  =450

Combine like terms

x+372 = 450

Subtract 372 from each side

x+372-372 = 450-372

x =78

Brad walked a total of 24 kilometers by making 6 trips to school. After 21 trips to school, how many kilometers will Brad have walked in total? Solve using unit rates.

Answers

Answer:

84 km... Mark me as BRAINLIEST

Step-by-step explanation:

Refer to the pic...

Hope it helped you!

Step-by-step explanation:

Since it takes 6 trips to cover 24 km -

1 trip = 24/6

Therefore 1 trip is -

4 km

Now, the distance for 21 trips is -

21*4 = 84

Therefore, Brad has walked -

84 km

HOPE YOU FIND THIS HELPFUL

If you have 2345 and you multiple it by 2 divide it by 6 and add on 22299 what will the answer be?

Answers

Answer:

69242/3 or 23080.666667

Step-by-step explanation:

2345 is multiplied by 2. Then the result is divided by 6. Then 22299 is added to the final result.

2345 × 2

= 4690

4690/6

= 2345/3

2345/3 + 22299

= 69242/3

find the value of x.

Answers

Answer:

  A.  7

Step-by-step explanation:

The problem is poorly specified, so technically cannot be answered with a specific number.

If we assume the "horizontal" lines are all parallel, then the one marked 21-x has a length that is the average of the other two:

  (17 +11)/2 = 21 -x

  14 = 21 -x

  x = 21 -14 = 7

The value of x is 7.

_____

The attachment shows what happens when the lines are not parallel. The range of the midline lengths is from 3 to 14 for the segment lengths shown.

Irving cannot remember the correct order of the five digits in his ID number. He does remember that the ID number contains the digits 1, 4, 3, 7, 6. What is the probability that the first three digits of Irving's ID number will all be odd numbers?

Answers

Answer: 1/10

Step-by-step explanation:

given:

numbers contained in the i.d

1,4,3,7,6

1. permutations of 5 possible outcome

T = 5

= 5 * 4 * 3 * 2 *1

= 120 times.

2. permutations  of  3 odd numbers

( 1,3 and 7 )

T = 3

= 3 * 2 * 1 * 2 * 1

= 12

probability of of first three digits being odd numbers

P = 12 / 120

= 1 / 10

Answer: The probability is 0.10

Step-by-step explanation:

The ID number has five digits, and the digits can be 1, 4, 3, 7 and 6, and I will assume that each digit appears only once.

Then if we want to calculate the probability that the first 3 digits will be odd is:

Suppose that we have 5 slots, we want that in the first two slots to have odd numbers.

In our set, we have only 3 odd numbers {1, 3 and 7}

Then if we want an odd number in the first digit, we have 3 options

If we want an odd number in the second digit, we have two options (because we already selected one in the first selection)

If we want an odd number in the first digit, we have only one option.

For the fourth digit we have one of the two remaining even options, so we have 2 options.

For the fifth digit, we have only one digit.

The number of combinations is equal to the product of the number of options in each selection:

c = 3*2*1*2*1 = 12

Now, the total number of combinations is:

For the first digit we have 5 options

for the second digit we have 4 options.

for the third digit we have 3 options.

for the fourth digit we have 2 options.

for the fifth digit we have 1 options.

The number of combinations is:

C = 5*4*3*2*1 = 120.

Then the probability that the first 3 digits are odd numbers, is equal to the quotient between number of combination that start with 3 odd digits and the total number of combinations:

P = c/C = 12/120 = 0.10

2 There are x fish in a pond.
Omar puts 5 more fish in the pond.
How many fish are in the pond now?​

Answers

Answer:

x+5

Step-by-step explanation:

We are adding fish

There were x and then we added 5

There are now

x+5

Answer:

x+5

Step-by-step explanation:

since there are x fish, adding five more would make it x+5        

ABCD is a square. Square A B C D is shown. A diagonal is drawn from point A to point C. The measure of angle B A C is question mark. What is the measure of angle BAC? 30° 45° 60° 90

Answers

Answer:

45°

Step-by-step explanation:

Since the diagonal cuts the square into two triangles, the angles b, a, and , c all add up to 180°. Because the shape is a square we know that one of the angles is right/90° meaning the two remaining angles are 45°. Angles a, and c had the diagonal drawn through so those two angles are each 45° and b is 90°, and since they are asking for bac we know that they want the middle angle, i.e angle A.

Since ABCD is a square, and AC is the diagonal of the square, therefore, the measure of angle BAC would be: B. 45°.

What is a Square?A square is a quadrilateral that has four interior angles of 90 degrees each, and also has four equal sides.The diagonal of a square bisects each vertex of the square into equal halves.

Thus, since ABCD is a square, and AC is the diagonal of the square, therefore, the measure of angle BAC would be: B. 45°.

Learn more about a square on:

https://brainly.com/question/24579466

Find the area of the shape shown below.

Answers

Answer:

28

Step-by-step explanation:

We divide the shape covenientely, like this, and area 1 is 4*4=16

area 2=4*4/2=8

area 3= 2*4/2=4

Area total = Area 1 + Area 2 + Area 3=16+8+4=28

Eparture time of a car is 0540 hours and it traveled for 45 minutes before it reached its destination. At what time did the car arrived at its destination : *

Answers

Answer:

The time at which the car arrives at its destination is 0625 hours or 6: 25 am or 25 minutes past 6.

Step-by-step explanation:

Departure time = 0540 Hours means 5: 40 am or 40 minutes past 5 in the morning.

Now add 45 mins

Hours : Minutes

      5:        40

      +         45

    5      :    85

But 1 hour contains 60 minutes so 85 - 60 gives 25 minutes . those 60 minutes = 1 hour are carried over the hours and added .

Hours : Minutes

       1

      5:        40

      +         45

    6      :    25

The time at which the car arrives at its destination is 0625 hours or 6: 25 am or 25 minutes past 6 in the morning.

Drag the tiles to the correct boxes to complete the pairs.
This table gives Information about vehicles sold at a dealership in a month.
Gasoline Diesel
18
5
Hatchback
Sedan
15
12
SUV
3
7
Analyze this data, and match each percentage to the description It represents. Round your answers to the nearest whole number.
30%
44%
21%
8%
42%
78%
the percentage of hatchbacks that run on gasoline
the percentage of diesel vehicles that are hatchbacks
tum. All rights reserved.

Answers

Answer:

The percentage of hatchbacks that run on gasoline: 78%

The percentage of diesel vehicles that are hatchbacks: 21 %

Step-by-step explanation:

The given table represents the following:

Hatchbacks that run on Gasoline = 18

Hatchbacks that run on Diesel = 5

Total number of hatchbacks = 23

Sedan that run on Gasoline = 15

Sedans that run on Diesel = 12

Total number of sedans = 27

SUVs that run on Gasoline = 3

SUVs that run on Diesel = 7

Total number of SUVs = 23

Total number of gasoline vehicles = 36

Total number of Diesel vehicles = 24

To find:

the percentage of hatchbacks that run on gasoline

the percentage of diesel vehicles that are hatchbacks

Solution:

[tex]\text{Percentage of hatchbacks that run on gasoline = } \dfrac{\text{Number of hatchbacks on gasoline}}{\text{Total number of hatchbacks}}\times 100\\\Rightarrow \text{Percentage of hatchbacks that run on gasoline = } \dfrac{18}{23}\times 100 \approx 78\%[/tex]

[tex]\text{Percentage of diesel vehicles that are hatchbacks = } \dfrac{\text{Number of hatchbacks that run on diesel}}{\text{Total number of diesel vehicles}}\times 100\\\Rightarrow \text{Percentage of diesel vehicles that are hatchbacks = } \dfrac{5}{24}\times 100 \approx 21\%[/tex]

So, the answer is:

The percentage of hatchbacks that run on gasoline: 78%

The percentage of diesel vehicles that are hatchbacks: 21%

Answer:

I used a calculator and this is what can up with

Step-by-step explanation:



Which function is graphed below?

Answers

Answer:

The answer is f(x) = -sin(x) as you can see in the graph below

Step-by-step explanation:

A life insurance company sells a $100,000 one year term life insurance policy to a 30-year old male for $475. The probability that the male survives the year is .999172. Find the expected value for the insurance company.

Answers

Answer:

The expected value for the insurance company is $392.20.

Step-by-step explanation:

The expected value of a random variable, X is:

[tex]E(X)=x\cdot P(X)[/tex]

It is provided that a life insurance company sells a $100,000 one year term life insurance policy to a 30-year old male for $475.

The probability that the male survives the year is, P(S) = 0.999172.

Then the probability that the male does not survives the year is:

P (S') = 1 - P (S)

        = 1 - 0.999172

P (S') = 0.000828

The amount the company owes the male if he survives is, S = $475.

The amount the company owes the male if he does not survives is,

S' = $475 - $100,000 = -$99525.

Compute the expected value for the insurance company as follows:

[tex]E(\text{Insurance Company})=S\cdot P(S)+S'\cdot P(S')[/tex]

                                     [tex]=(475\times 0.999172)+(-99525\times 0.000828)\\=474.6067-82.4067\\=392.20[/tex]

Thus, the expected value for the insurance company is $392.20.

An exponential growth function has a base that is____one?
Please help

Answers

Answer:

greater than

Step-by-step explanation:

An exponential growth function has a base that is__greater than__one.

If the base is less than one, it will be a decay function.

Note: the above assumes an exponent greater than one as well.

WILL GIVE BRAINLIEST A rocket is launched vertically from the ground with an initial velocity of 64. Write a quadratic function that shows the height, in feet, of the rocket t seconds after it was launched. Graphon the coordinate plane.

Answers

Answer:

[tex]h=64t-4.9t^{2}[/tex]

Please refer to the attached graph.

Step-by-step explanation:

Given that

Initial velocity of rocket = 64 and is launched vertically.

To find:

Quadratic equation in time to represent the height of rocket in feet.

Solution:

Unit of initial velocity is not given in the question statement, let the velocity be in feet/second only.

Initial velocity, u  = 64 feet/s

The acceleration will be = -g because it is going opposite to gravitational force so it will be negative acceleration motion (speed will be decreasing) so -g will be the acceleration.

Formula for distance traveled is given as:

[tex]s=ut+\dfrac{1}{2}at^2[/tex]

Here Let us represent s by 'h'

a = -g = 9.8 m/[tex]s^2[/tex]

Let us put the known values in the formula:

[tex]h=64t+\dfrac{1}{2}(-9.8)t^2\\\Rightarrow h =64t-4.9t^2[/tex]

It is a quadratic equation, the equation represents the graph of a parabola.

Please refer to the attached graph.

Value of height is 0 at 0 second and ~13 seconds

32 is an example of A. an algebraic equation B. a numerical expression C. a numerical equation D. an algebraic expression Reset

Answers

ayuda plis nosé donde estoy q Brainli es este

ayuda

Answer:

hmm I'm not sure but i think it's B. a numerical expression

Sowwy if this didn't help :c

select the coordinates of two points on the line y = -2

Answers

Answer: (0, -2) & (1, -2)

Step-by-step explanation:

There are an infinite number of coordinates on y = -2.

The coordinates can have any x-value, but must have -2 for the y-value.

1. In your own words please describe a Relations vs. Function

2. please describe the mathematical order of operation(photo attached)

Answers

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

1. Relations are the set of y (output) and x (input) values that are related. A function is when each input has a relation with one output.

2. The mathematical formula is the formula of Pythagoras theorem. Where the length c (hypotenuse) is equal to the square root of the sum of the legs squared.

what the formula of speed

Answers

Answer:

The formula for speed is s=(distance traveled)/(time elapsed)

Answer:

[tex]\huge \boxed{S =\frac{d }{t} }[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The formula to find speed is as follows:

[tex]\Longrightarrow \ \ \displaystyle \sf speed =\frac{distance \ travelled }{time \ taken}[/tex]

[tex]\Longrightarrow \ \ \displaystyle S =\frac{d }{t}[/tex]

[tex]\rule[225]{225}{2}[/tex]

8³=512 indique o expoente

Answers

Your answer is 8 is exponent

2.
The roots of the equation x2-3x - m(m + 3) = 0,
where m is a constant, are
(a) m, m + 3
(b) -m, m + 3
(c) m,- (m+3) (d) -m, -(m + 3)
(AI 2011)​

Answers

Answer:

(b) -m, m + 3

Step-by-step explanation:

x² − 3x − m(m + 3) = 0

x² − 3x = m(m + 3)

x² − 3x + 9/4 = m(m + 3) + 9/4

(x − 3/2)² = m(m + 3) + 9/4

(x − 3/2)² = m² + 3m + 9/4

(x − 3/2)² = (m + 3/2)²

x − 3/2 = ±(m + 3/2)

x − 3/2 = m + 3/2, -m − 3/2

x = m + 3, -m

A small cargo plane currently has 140 pounds of cargo aboard. In addition, n boxes weighing 45 pounds each will be brought aboard. Suppose that the total weight of the cargo on board must be less than p pounds. Using the values and variables given, write an inequality describing this.

Answers

Answer:

The inequality that represents this situation is: [tex]140 + 45*n < p[/tex]

Step-by-step explanation:

Since the plane already had 140 pounds on board and "n" boxes will be loaded on it, then the weigh of each box multiplied by the number of box should be the extra cargo on the plane. This extra cargo added to the previous load must be less than the limit of cargo the plane can take as shown below:

[tex]140 + 45*n < p[/tex]

two bags and four hats cost $100 in all. three bags and seven hats cost $164 in all. what is the cost of 1 hat?

Answers

Answer:

Bags = 22

Hat = 14

22 x 2 = 44

14 x 4 = 56

So the first part is true

3 x 22 = 66

7 x 14 = 98

So the second part is true

14 is the answer

It's trial and error

Step-by-step explanation:

Select all that apply. If x^2+b/ax+c/a=0 ; then: The sum of its roots = -b/a? The difference of its roots =-b/a? The product of its roots = c/a?The division of its roots = c/a? I can select multiple.

Answers

Answer:

             The first and the third

Step-by-step explanation:

[tex]x^2+\frac bax+\frac ca=0\\\\ ax^2+bx+c=0\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a}\qquad\quad x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x_1+x_2=\dfrac{-b-\sqrt{b^2-4ac}}{2a}+\dfrac{-b+\sqrt{b^2-4ac}}{2a}=\dfrac{-2b}{2a}=\dfrac{-b}a\\\\\\x_1\cdot x_2=\dfrac{-b-\sqrt{b^2-4ac}}{2a}\cdot\dfrac{-b+\sqrt{b^2-4ac}}{2a}=\\\\{}\ \ =\dfrac{b^2-b\sqrt{b^2-4ac}+b\sqrt{b^2-4ac}-(\sqrt{b^2-4ac})^2}{2a}=\dfrac{b^2-(b^2-4ac)}{4a^2}=\\\\{}\ \ =\dfrac{b^2-b^2+4ac}{4a^2}=\dfrac{4ac}{4a^2}=\dfrac{c}{a}[/tex]

[tex]x_1-x_2=\frac{-b-\sqrt{b^2-4ac}}{2a}-\frac{-b+\sqrt{b^2-4ac}}{2a}=\frac{-2\sqrt{b^2-4ac}}{2a}=\frac{-\sqrt{b^2-4ac}}{a}\\\\\\x_1\div x_2=\frac{-b-\sqrt{b^2-4ac}}{2a}\div\frac{-b+\sqrt{b^2-4ac}}{2a}=\frac{-b-\sqrt{b^2-4ac}}{2a}\,\cdot\,\frac{2a}{-b+\sqrt{b^2-4ac}}=\\\\=\frac{-b-\sqrt{b^2-4ac}}{-b+\sqrt{b^2-4ac}}=\frac{b+\sqrt{b^2-4ac}}{b-\sqrt{b^2-4ac}}=\frac{b^2+2\sqrt{b^2-4ac}+b^2-4ac}{b^2-b^2+4ac}=\frac{2b^2+2\sqrt{b^2-4ac}-4ac}{4ac}=[/tex]

[tex]=\frac{b^2+\sqrt{b^2-4ac}-2ac}{2ac}[/tex]

Please answer this in two minutes

Answers

Answer:

[tex] s = 14.1 [/tex]

Step-by-step explanation:

Given:

<S = 31°

SQ = r = 9

SR = q = 21

s = ?

To find s, use the Law of Cosines:

s² = r² + q² - 2rs*cos(S)

[tex] s^2 = 9^2 + 21^2 - 2*9*21*cos(31) [/tex]

[tex] s^2 = 81 + 441 - 378*0.8572 [/tex]

[tex] s^2 = 522 - 324.02 [/tex]

[tex] s^2 = 197.98 [/tex]

[tex] s = 14.1 [/tex] (nearest tenth)

Other Questions
Earth Science Write a thesis about how you think Earths climate zones will change over the next century 1. How many tiles whose length and breadth are 13 cm and 7 cm respectively are needed to cover a rectangular region whose length and breadth are 520 cm and 140 cm? 2. The length of a rectangular wooden board is thrice its width. If the width of the board is 120 cm, find the cost of framing it at the rate of $5 for 20 cm. 3. From a circular sheet of a radius 5 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet is given that = 22 /7. Galvatron Metals has a bond outstanding with a coupon rate of 6.1 percent and semiannual payments. The bond currently sells for $947 and matures in 23 years. The par value is $1,000 and the company's tax rate is 40 percent. What is the company's aftertax cost of debt use the cross product property to solve the proportion5/r = 9/10 [tex]The sum of two numbers is57 and the difference is3 . What are the numbers?[/tex] Ziyou asked about filial piety. The Master said: 'Nowadays people think they are dutiful sons when they feed their parents. Yet they also feed their dogs and horses. Unless there is respect, where is the difference? A hot lump of 27.4 g of aluminum at an initial temperature of 69.5 C is placed in 50.0 mL H2O initially at 25.0 C and allowed to reach thermal equilibrium. What is the final temperature of the aluminum and water, given that the specific heat of aluminum is 0.903 J/(gC)? Assume no heat is lost to surroundings. Maximize the objective function P = 2x + 1.5y for the feasible region shown. State the maximum value for P and the ordered pair at which the maximum value occurs. Read the first three paragraphs of Franklin Roosevelt's request for a declaration of war.Beyond Congress, who is his primary intended audience?A. the American publicB. the Japanese peopleC. American and Japanese diplomatsD. other countries that might be at risk What is the equation of the circle shown below? True or False: Firms operating in more price-competitive industries, or exhibiting lower levels of market power, generally exhibit lower levels of business risk, all other things being equal. This statement is: True False Which transformation is needed to be used on x^2, to get the graph of f(x) = 2x2 - 12x + 22?Select one:O a. Shift right by 3 units, stretch vertically by a factor 2 and then shift upward by 13 unitsO b. Shift left by 3 units, stretch vertically by a factor 2 and then shift upward by 4 unitsO c. Shift right by 3 units, stretch vertically by a factor 2 and then shift upward by 4 units O d. Shift right by 3 units and shift upwards by 4 unitsPlease I need help You would like to implement an interval DRO procedure with one of your students with autism to decrease hand flapping (so that you can get the student to attend to her work eventually). You conduct some baseline observations and find that the student stops flapping her hands for about 2 minutes on average. What would an appropriate initial DRO interval be? A) 2 seconds B) 2 minutes, 30 seconds C) 1 minute, 45 seconds D) 4 minutes Which expression is equal to 5(2x^2-1)+3(7x^2+1) 17 women and 3 men attend a family reunion. What is the percentage of men with respect to the total number of parents? 1. 3% 2. 15% 3. 16% 4. 17% Identify the CRITICAL VALUES(S) used in a hypothesis test of the following claim and sample data:Claim: "The proportion of defective tablets manufactured in this factory is less than 6%."A random sample of 500 tablets from this factory is selected, and it is found that 20 of them were defective. Test the claim at the 0.05 significance level.a. -1.883 b. -1.645c. -1.96 d. -0.102 Suppose you know a company's stock currently sells for $90 per share and the required return on the stock is 8 percent. You also know that the total return on the stock is evenly divided between a capital gains yield and a dividend yield. If it's the company's policy to always maintain a constant growth rate in its dividends, what is the current dividend per share? Draw the straight line y = x + 2 Factor this polynomial expression, and wrote it in its fully factored form 3x^3 + 3x^2 - 18x What is cadence and list the types of cadence.