what is the expressions of ײ-3y when x = -5 and y=(2-)

Answers

Answer 1

[tex]\huge \bf༆ Answer ༄[/tex]

Plug the values of x and y in the given expression ~

[tex] \sf {x}^{2} - 3y[/tex]

[tex] \sf( - 5) {}^{2} - (3 \times 2)[/tex]

[tex] \sf25 - 6[/tex]

[tex] \sf19[/tex]

The equivalent value is 19

Answer 2
The answer is 19 hope this helped.

Related Questions

how to solve 15=6+2(n-3) + 3n

Answers

Step-by-step explanation:

15 = 6 + 2(n-3) + 3n

or, 15 = 6 + 2n - 6 + 3n

or, 15 = 6 - 6 + 2n + 3n

or, 15 = 0 + 5n

or, 15 = 5n

or, 15/5 = n

or, 3 = n

;- n = 3.....

I Hope that this will Help you...!!!

If a=-4xa=−4x and b=5ib=5i, then find the value of ab^2ab 2 in fully simplified form.

Answers

The value of ab^2 in simplified form is -1

Given the following expressions:

a = 4xb = 5i

We are to evaluate the expression [tex]ab^2[/tex]

Substitute the given parameters into the formula to have:

[tex]ab^2 =4x(5i)^2\\ab^2 = 4x(25i^2)\\ab^2=4x(50(-1))\\ab^2=-100x[/tex]

Hence the value of ab^2 in simplified form is -100x

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#7 What is f(4) if f(1) = 3.2 and f(x + 1) = 2.5f(x)?

Answers

Answer:  50

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

Explanation:

We're given f(1) = 3.2 which says the first term of the sequence is 3.2

To find the second term, we use the other equation, which is the recursive equation. Plug in x = 1 to get...

f(x+1) = 2.5*f(x)

f(1+1) = 2.5*f(1)

f(2) = 2.5*f(1)

f(2) = 2.5*3.2

f(2) = 8

The second term is 8. We multiplied the previous term (3.2) by the factor 2.5 to get this second term.

The third term is handled pretty much in a similar fashion

third term = 2.5*(second term)

third term = 2.5*8

third term = 20

Lastly, the fourth term f(4) is...

f(x+1) = 2.5*f(x)

f(3+1) = 2.5*f(3)

f(4) = 2.5*f(3)

f(4) = 2.5*20

f(4) = 50

The fourth term is 50.

The first four terms are: 3.2, 8, 20, 50

When would the following conditional be false?
If you study for the test, then your grade will be higher than a 75.

You study for the test, and your grade is an 80.
You study for the test, and your grade is a 70.
You do not study for the test, and your grade is an 80.
You do not study for the test, and your grade is a 70.

Answers

According to the conditional statement, the false option is:

You study for the test, and your grade is a 70.

The statement is:

"If you study for the test, then your grade will be higher than a 75."

It says nothing about not studying for the test, hence the third and fourth options are ignored.

If you study, you are ensured a grade higher than 75, hence, the false option is:

You study for the test, and your grade is a 70.

You can learn more about conditional statements at https://brainly.com/question/11073037

Two-Variable Statistics:Question 2

You obtain a correlation value of r = -0.744 when you

analyze the relationship between the time it takes

someone to swim a mile and her heart rate at the end of

the swim. Choose the word completes this interpretation

of the correlation value: The correlation between the time

it takes to swim and heart rate is ___ and ___

Answers

I think it is your second option 5

pPLEASE HELP ME, I NEED HELP I CANT UNDERSTAND I COULD JUST GUESS BUT ITS IMPORTANT PLS

Answers

Answer: where’s the question??

45
23

+(−
45
23

)

Answers

4523 + (-4523)

4523 - 4523

0

PLEASE HELP I BEG IMMA FAILLLLLLLLL

In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual plane is 21 feet long with a wingspan of 17.5 feet. If the finished model will be 12 inches long, what will the wingspan be?

Answers

Answer:

2 inches make a foot, therefore the scale model is 1/21 the size of the actual if you're using the information given above. so the wingspan should be 10

Hope I Helped You:)

Explain how I got this wrong please

Answers

Answer:

x = 9

Step-by-step explanation:

Each angle equals 60 since it is an equilateral triangle

7x-3 = 60

add 3

7x = 63

divide by seven on both sides

x = 9

I hope this helps!!

the difference of x and 15 is 62 solve for x

Answers

Answer:

x is 77

Step-by-step explanation:

Answer:

x = (-77)

Step-by-step explanation:

The other one is wrong. He did it right, but he forgot the -.

4b + 8 / -2 = 10
what is the answer

Answers

Answer:

7/2

Step-by-step explanation:

4b+8/-2=10

4b-4=10

4b=10+4

4b=14

b=14/4

simplify

b=7/2

Write the inequality that represents the solution set to the given inequality below.

|x−3|<15

Group of answer choices

12 x>−18


−12>x>18

Answers

Answer:

-12 < x < 18

Step-by-step explanation:

x-3 < 15

x < 18

and

-x + 3 < 15

-x < 12

x > -12

Arthur paid $0.84 for 0.25 pound of potato salad. How much does one pound cost?

Answers

$3.36 answer
Step-by-step explanation:
1 pound is 4 times 0.25 pounds.
$0.84 = 0.25 pounds
1 pound = $0.84 times 4
1 pound = $3.36

Answer:

$3.36 per pound

Step-by-step explanation:

The information gives us that 1/4 a pound of salad costs $0.84, to get to one pound all we have to do is multiply $0.84 by 4 to get our pound price.

0.84*4= $3.36

Brainliest would be appreciated! :-)

A 6 character computer password is made up of 4 numbers followed by 2 letters. How many different passwords are possible? a. 810,000 b. 3,276,000 c. 6,500,000 d. 6,760,000 Please select the best answer from the choices provided A B C D.

Answers

The number of different possible passwords possible is 6760000

This is a question is the application of permutation. Permutation has to do with the arrangement.

If a computer consists of 6 character computer password that is made up of 4 numbers followed by 2 letters, the total digits and letters present are 6

The number of ways the passwords are possible is 10^4 * 26^2

10^4 * 26^2= 10000 * 676

10^4 * 26^2 = 6760000

Hence the number of different possible passwords possible is 6760000

Learn more on permutation here: https://brainly.com/question/25500566

Answer:

its D

Step-by-step explanation:

If the measure of an inscribed angle is 142 degrees, what is the measure of its intercepted arc? (just write the number, no degrees)

Answers

10 neváis bien. Je Enid know en me. E

Using the numbers 5. 8. and 24, create a problem using no more than four operations (addition,
subtraction, multiplication, division, square, square root, cube, cube root) where the solution
will be an irrational number. Explain why the result of your operations is an irrational number

Answers

sqrt(24 - 5 - 8) = sqrt(11), which is irrational as 11 isnt a square number

Suppose that a family wants to start a college fund for their child. If they can get a rate of 7. 5%, compounded monthly, and want the fund to have a value of $75,000 after 18 years, how much should they deposit monthly? Assume an ordinary annuity and round to the nearest cent. A. $164. 98 b. $165. 30 c. $166. 21 d. $167. 52.

Answers

The amount that should deposit monthly is $164.98

The formula for calculating the compound amount is expressed as:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

P is the amount investedA is the amount after 18 years = $75000r is the rate = 7.5% = 0.075t is the time in years = 18 yearsn is the compounding time = 12 (monthly)

Substitute the given values into the formula to have:

[tex]75000=P(1+\frac{0.075}{12} )^{12(18)}\\75000 = P(1.00625)^{216}\\75000 =P(3.84125)\\P = \frac{75000}{3.84125}\\P= \$19,524.89[/tex]

Hence the amount of money they started with is $19,524.89.

Amount to deposit monthly = 19,524.89/120

Amount to deposit monthly = $164.98

Hence the amount that should deposit monthly is $164.98

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PLEASE HELP!! name the property of equality that the statement illustrates:

if x = y , then -2x = -2y

Answers

The multiplication property of equality states that if [tex]x=y[/tex] is true, then [tex]xz=yz[/tex] must also be true.

The property of equality illustrated by the statement "if x = y, then -2x = -2y" is the: Multiplication Property of Equality.

How to Identify the Property of Equality?

The properties of equality describe the relation between the two sides of an equation and state that the two sides remain equal even after applying the same arithmetic operation on each side.

The property of equality illustrated by the statement "if x = y, then -2x = -2y" is the Multiplication Property of Equality.

This property states that if you multiply both sides of an equation by the same nonzero number, the equality still holds true.

In this question, both sides of the equation are multiplied by -2, maintaining the equality between the expressions.

Read more about Property of Equality at: https://brainly.com/question/1601404

#SPJ3

Write the equation of a line that goes through the points (-5,6) and (10,-6). The final answer should be in Slope Intercept Form.

Answers

Answer:

y=-4/5x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-6-6)/(10-(-5))

m=-12/(10+5)

m=-12/15

simplify

m=-4/5

y-y1=m(x-x1)

y-6=-4/5(x-(-5))

y-6=-4/5(x+5)

y=-4/5x-20/5+6

y=-4/5x-4+6

y=-4/5x+2

I NEED HELP FOR 3 AND 4 PLEASE I GIVE 30 POINTS.

Answers

Answer:

Number 3 is 10

Step-by-step explanation:

16+13(10)=146

14(10)+6=146

Answer:

See answer below.

Step-by-step explanation:

# 3  x = number of boxes

     $16 + 13x = Tracy cost

     $6 + 14x = Brendan cost

     The costs are equal.  

    16 + 13x = 6 + 14x

     10 + 13x = 14x

      10 = x

#4   First plan                                                            second plan

      x = number of people at a table          x = number of people at a table

      y = number of people at a booths        y = number of people at a booths    

     

24x + 21y = 270       multiply by 23   ⇔   552x + 483y = 6210

 14x + 23y = 222      multiply by -21   ⇔ -294x  - 483y = -4662

                                                                   258x    =     1548

                                                                          x  = 6

Six people at each tables

 24 (6)  + 21y = 270                                      

   144 + 21y = 270

         21y = 126

            y = 6      

Answer: 6 people at each table; 6 people at each booth.

Two planes leave Berlin. One plane flies 939 km to London. The other plane flies to 882 km to Paris. The angle

between the flights is 18º.What is the distance between London and Paris?

London

939 km

18

Berlin

882 km

Paris

Answers

The distance between London and Paris is 290.38km

To get the distance between London and Paris, we will see the cosine formula as shown:

c² = a² + b² - 2ab cosФ

Given the following parameters:

a = 939kmb = 882 kmФ = 18⁰

Substitute into the formula to have:

c² = a² + b² - 2ab cosФ

c² = 939² + 882² - 2(939)(882) cos18

c² = 1,659,645 - 1575326.21

c² = 84,318.79

c = 290.38km

Hence the distance between London and Paris is 290.38km

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Can someone pleasee answer this

Answers

Not for 5 points. Maybe for 10 points, but not 5.
Angles in a triangle add up to 180.
Angles on a straight line also add up to 180.

Using this knowledge, you can find angle OLW which lies on a straight line:

180 – (2x–48)

(Where 2x – 48 is the other angle which lies on the straight line)

180 – 2x + 48

228 – 2x

So angle OLW is 228 – 2x.


Now that you know all the angles in the triangle, add the sum of all the angles and make it equal to 180 to find the value of x (you make it equal to 180 because all angles in a triangle add up to 180).

180 = 228 – 2x + x + 32

180 = 260 – x

180 + x = 260

x = 260 – 180

x = 80

So the value of x is 80.


Substitute x = 80 into the expressions for the angles to find the sizes of the angles.

Angle FOW = x
Angle FOW = 80

Angle FLW = 2x – 48
Angle FLW = 2(80) – 48
Angle FLW = 160 – 48
Angle FLW = 112

Angle OLW = 180 – 80 – 32
Angle OLW = 68

when amy us doing he homework, she writes the divisor 76 as 67 by accident, and the result is a quotient of 15 and a reminder of 5. what is the correct quotient?

Answers

Answer:

  13 r 22

Step-by-step explanation:

The dividend of Amy's division problem is d such that ...

  d/67 = 15 +5/67

Multiplying by 67, we get ...

  d = 15(67) +5 = 1010

When this is divided by 76, the result is ...

  1010/76 = 13 22/76

The correct quotient is 13 remainder 22.

Select the correct answer. Evaluate the following expression when x = -4 and y = 4. A. B. C. D.

Answers

The value of given expression when x=-4 and y=4 is 1250.

The expression is missing in the question which is [tex]\dfrac{x^6-x}{4y}[/tex].

We have to solve it for x= -4 and y = 4.

Now putting the value of x and y we get,

[tex]\dfrac{x^6-x}{4y}=\dfrac{(-4)^6-(-4)}{4}[/tex]

[tex]\dfrac{x^6-x}{4y}=\dfrac{4096+4}{4}[/tex]

[tex]\dfrac{x^6-x}{4y}=1250[/tex]

Hence the value of given expression when x=-4 and y=4 is 1250.

For more details follow the link:

https://brainly.com/question/11897796

see attached photo for question

Answers

Answer:[tex]6\pi[/tex]

Step-by-step explanation:

240/360 can be simplified to 2/3. r^2 can be substituted for 9, and 2/3*9 is 6.

Solve -2.5n + 8.7 > 5.45.

Answers

Answer:

Solved for n: n < 1.3

Step-by-step explanation:

Are there answer choices included?

What is the domain of the function
y = √x

Answers

Answer:

[tex]0\leq x<\infty[/tex]

Step-by-step explanation:

The function [tex]y=\sqrt{x}[/tex] is not defined for negative numbers in the domain as they produce non-real results. Therefore, all positive numbers including 0 are included in the domain, so the domain of the function would be [tex]0\leq x<\infty[/tex].

I've attached a diagram to help you visualize the domain.

best answer gets brainiest

what is the circumference and the mass of Jupiter and Saturn combined?

Answers

Mercury

Mercury is the smallest planet in the solar system. Its circumference is merely 9,522 miles, and its area totals 28,873,225 square miles. It is a terrestrial planet with a surface covered in craters, and its close proximity to the sun sometimes results in surface temperatures as high as 800 degrees Fahrenheit. Its lack of heat-retaining atmosphere, though, can cause nighttime temperatures nearing 300 degrees Fahrenheit. Besides its faint, occasional twilight appearances, Mercury is indirectly visible from Earth about a dozen times per century as it passes across the sun.

Venus

Venus is similar to Earth in size, with a circumference of 23,617 miles and an area of 177,628,840 square miles. Venus’ atmosphere contains clouds of sulfuric acid, which reflect sunlight, allowing Venus to appear brighter than other planets from Earth. Its atmosphere traps heat and can cause surface temperatures of almost 900 degrees Fahrenheit; this sweltering heat has destroyed all probes that have landed on the planet. Over a thousand volcanoes are strewn across Venus’ surface.

Brought to you by Sciencing

Earth

The third planet from the sun is Earth, the only planet known to contain life. Its circumference is just greater than that of Venus at 24,889 miles. Of its total area -- 197,280,733 square miles -- 70 percent is covered by oceans. It orbits the sun at a distance of nearly 93 million miles on a tilted axis of over 23 degrees, creating four distinct seasons. Earth’s uniquely thin, but powerful atmosphere alters both climate and weather, protects inhabitants from the sun’s radiation and acts as a shield for meteors.

Mars

Having a circumference of 13,256 miles and an area of 55,963,741 square miles, Mars is the second smallest planet in the solar system. This terrestrial planet, known as the “Red Planet” due to its color of soil, has some notable geological features including tremendous volcanoes and a canyon system that stretches the width of the United States. Though its temperatures are too low for liquid water to remain on its surface, Mars has polar ice caps that expand and shrink according to the shift in seasons.

Jupiter

The largest planet in the solar system -- with a circumference of 278,985 miles and an area of 24,787,374,965 square miles -- is Jupiter. This gas giant is the fifth from sun and has 63 moons of its own, four of them the size of planets. Its unusual coloring is a product of visible ammonia clouds and stripes formed by east-west winds creating dark belts and light zones. These “stripes” are full of storm systems that have endured for many years, including the spinning storm known as the Great Red Spot, which is over 300 years old.

Saturn

At 235,185 miles in circumference and 17,615,265,865 square miles in area, Saturn is the sixth planet from the sun and the second largest gas giant. Its composition is mostly hydrogen and helium, while its famous rings are deceptively complex: primarily made of water ice, some braided or spoked in appearance. Saturn’s own banded appearance is the result of gusts in the upper atmosphere many times the speed of hurricane winds. Saturn has 52 known moons, two of which orbit within its rings.

Uranus

Uranus, the seventh planet from the sun, is another gas giant. It measures 99,739 miles in circumference and 3,168,132,663 square miles in area. Its blue-green appearance is a result of methane gas in its atmosphere. It rotates on a nearly horizontal axis, perhaps due to a collision with another planetary body far in the past, but the resulting seasons are not very distinct due to its distance from the sun. Uranus has 11 rings -- which are uniquely perpendicular to its orbit -- and 27 known moons.

Neptune

Nearly three million miles from the sun, Neptune -- measuring 96,645 in circumference and 2,974,591,827 square feet in area -- takes over 150 years to complete its orbit. It cannot be seen by the naked eye from Earth, despite its intense blue color, a product of atmospheric methane. Among Neptune’s distinguishing features are winds many times the strength of Earth’s, 13 known moons, six rings and a raging hurricanelike storm known as the Great Dark Spot large enough to encompass the Earth.

Answer:

Total Circumference = 514, 170 miles

Total Mass = 2, 467, 000, 000, 000 metric tons

Step-by-step explanation:

hope this helps you

Evaluate the function for x =2 and x = 6

f(x) = 4x −3

Answers

f(2) = 4(2) -3
f(2) = 8-3
f(2) = 5

f(6) = 4(6) -3
f(6) = 24-3
f(6)= 21

275 gallon oil tank costs $400 to fill. How much would it cost to fill a 180 gallon oil tank?

Answers

Answer:

$261.82 per 180 gallon of oil tank.

Step-by-step explanation:

set a proportion;

400 x

------ = -----

275 180

180/275 = 0.6545454545454 x 400

= 261.81818181816

round the the nearest hundredth

Other Questions
Hi Im back again and I need help with this question on my daily common core review sheet. Thanks a lot, answer this and you get 20 points, I will give lots of points on Christmas as a gift for people who need some thank you PLEASE HELP ME TODAY ASAP WILL GIVE BRAINLIESTBoth explain and evaluate derive from which Latin prefix meaning "out, from"?Question 1 options:PreEvEctExYour teacher wants you to evaluate the quality of the book you're reading independently. What does she want you to do?Question 2 options:Describe what the book is aboutInfer the theme of the novelAnalyze the complexity of the charactersJudge the quality of the bookAfter submitting your essay, you get feedback from your teacher saying you need to explain your quotes. What does he want you to do?Question 3 options:Describe why your quotes are relevant or prove your pointSupport your thinking with more quotesChoose better quotes to support your thinkingCompare your quotes with your peers' selected quotesWhich of the following sentences correctly uses a comma to join two independent clauses?Question 4 options:I would go to the mall with you but, I just don't want to go.I would go to the mall with you, but I just don't want to go.I would go to the mall, with you but I just don't want to go.I would go to the mall with you but I just don't want to go.Which of the following sentences correctly uses a comma to separate the introductory word, phrase, or clause from the main clause?Question 5 options:Given all the facts I have decided to side with Lynx on this issue.Given all the facts, I have decided to side with Lynx on this issue.Given, all the facts I have decided to side with Lynx on this issue.Given all the facts I have decided, to side with Lynx on this issue.Which of the following sentences below correctly uses commas to set off non-essential information?Question 6 options:An Evening with Silk Sonic which is currently my favorite album has such a smooth sound to it!An Evening with Silk Sonic, which is currently my favorite album, has such a smooth sound to it!An Evening with Silk Sonic, which is currently my favorite album has such a smooth sound to it!An Evening with Silk Sonic which is currently my favorite album has such a smooth sound to it!Where does the comma need to be placed to correct the sentence below?Make sure you pack your toothbrush, toothpaste shampoo, and soap for the trip tomorrow.Question 7 options:After packAfter toothpasteAfter soapThis sentence is correctHow would you correct the sentence below?You are an amazing, kind, insightful person.Question 8 options:No comma after amazingNo comma after kindComma after insightfulThis sentence is correct.Which of the following sentences correctly uses a comma to separate contrasting coordinate elements or indicate a distinct pause or shift?Question 9 options:I hope everyone comes to my birthday party especially, Bruno!I hope everyone comes, to my birthday party especially Bruno!I hope everyone comes to my birthday party, especially Bruno!I hope everyone comes to my birthday party especially Bruno!Which sentence below demonstrates correct comma usage?Question 10 options:After we watch the meteor shower tonight let's go to the river to catch some fish, frogs, and crawfish, especially crawfish.After we watch the meteor shower tonight, let's go to the river to catch some fish, frogs, and crawfish especially crawfish.After we watch the meteor shower tonight, let's go to the river to catch some fish frogs, and crawfish, especially crawfish.After we watch the meteor shower tonight, let's go to the river to catch some fish, frogs, and crawfish, especially crawfish. If you want 10 points answer my questionPlz Five pipes can fill a tank in 80 minutes. At the same rate, how long will it take 8 pipes to fill the same tank? Renewable energy sources account for the majority of energy production. Please select the best answer from the choices provided T F. If each unit on the grid represents 2.5 inches, find the height of the triangle. True or False: Jamestown was founded foreconomic purposes. (Economic meansdealing with money) What are the first five terms of the arithmetic progression with the first term 8 and common difference 7 , then find the 17th?. oriental Rug Company ships six handmade rugs valued at $5,000 each on consignment to Consign Design. oriental Rug Company pays $1,000 of shipping costs and agrees to accept the return of any rugs within six months of the shipping date. oriental Rug Company also agrees to pay Consign Design a commission of 10 percent for any rug sold. At the end of five months, Consign Design has sold four of the rugs for a total price of $38,000. The total inventory and revenue value reported by Consign Design at the end of the five months is: _________ Solve the equation.2What is the first step to isolate the variable term on one side of the equation?What is the second step to solve for x?Please help and be fast who is the nba GOAT lmk Which of the following is used for purification of water? a) Sodium bicarbonate b) Alum c) Copper sulphate d) Sodium Hydroxide Which kind of group exists to promote policies that would increase wages, adequate health and unemployment insurance, and promote safe working conditions?Group of answer choicesA Labor groupsB Ethnic groups A coin of mass 0.0050 kg is placed on a horizontal disk at a distance of 0.14 m from the center, as shown above. The coin doesnt slip and the time it takes for the coin to make a complete revolution is 1.5 s. A)The figure below shows the disk and coin as viewed from above. Draw and label vectors on the figure below to show instantaneous acceleration and linear velocity vectors for the pin when it is at the position shown below.B)Determine the linear speed of the coinC)The rate of rotation of the disk is gradually increased. The coefficient of stats if friction between the coin and the disk is 0.50. Determine the linear speed of the coin when it just begins to slip. D)If the experiment in part c were repeated with a second, identical coin glued to the top of the first coin, how would this affect the answer to part c? Explain. Jennie observes her brother playing pool and has a theory that the potential energy in the pool stick is transformed into kinetic energy when he hits the ball. Which explains how she can prove her theory?A She could measure the potential energy in the motionless ball on the pool table, and she could measure the potential energy of the pool stick as it moves to strike the ball. These total of these two measurements will be equal to the kinetic energy in the pool ball as it moves, and this proves there was a transformation of energy.B She could measure the potential energy when the pool stick is pulled back to strike the pool ball, and then she could measure the kinetic energy in the pool stick as it moves to strike the ball. The potential energy in the pool stick and the kinetic energy in the pool stick should be equal, proving there was a transformation of energy. C She could measure the potential energy when the pool stick is pulled back before moving to strike the pool ball, and she could measure the kinetic energy of the ball in motion after the pool stick strikes it. There should be an equal amount of kinetic energy and potential energy to prove there was a transformation of potential energy to kinetic energy.D She could measure the potential energy of the pool ball when it was sitting on the table, and she could measure the kinetic energy of the ball in motion after the pool stick strikes it. There should be an equal amount of potential energy in the motionless ball and kinetic energy in the ball after the stick strikes it to prove there was a transformation of potential energy to kinetic energy. Enter the value of 14 + (-22) 14 22. PLEASE HELP!!What does the information in the paragraph reveal about the Franklin D. Roosevelt's purpose? Select two that apply.Franklin D. Roosevelt's purpose is to blame those who caused the downfall of the economyFranklin D. Roosevelt's purpose is to address specific problems that need to be resolved.Franklin D. Roosevelt's purpose is to firmly acknowledge the nation's current state.Franklin D. 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