Using the formula r=d/t, where d is the distance in miles, r is the rate, and t is the time in hours, at which rate must you travel to cover 227.5 miles in 3.5 hours?

A. 65 mph
B. 75 mph
C. 85 mph
D. 95 mph

Answers

Answer 1

The rate/speed at which one must travel to cover 227.5 miles in 3.5 hours is 65 miles per hours.

What rate must one travel to cover 227.5 miles in 3.5 hours?

Speed or rate is simply referred to as distance traveled per unit time.

It is expressed as;

r = d / t

Where r is the speed/rate, d is the distance and t is time elapsed.

Given the data in the question;

Distance d = 227.5 milesElapsed time t = 3.5 hoursSpeed/rate = ?

To determine the rate at which one must travel to cover 227.5 miles in 3.5 hours, plug the given values into the equation above and solve for r.

r = d / t

r = 227.5 miles / 3.5 hours

r = 65m/h

r = 65mph

Therefore, the speed/rate one must travel is 65mph.

Option A)65mph is the correct answer.

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Related Questions

Darnel is trying to drink more water, so he has been keeping a log of how much water he drinks. Two days ago, Darnel drank 20 ounces of water, which is the same amount as yesterday. What was the percent of decrease in Darnel's daily water consumption?

Answers

Using proportions, it is found that the percent of decrease in Darnel's daily water consumption was of 0%.

What is a proportion?

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using operations such as multiplication or division.

One example of application of proportions is for percentage problems, and for the case in this problem, the percent decrease is given by the change divided by the initial amount and multiplied by 100%.

For this problem, we have that:

Each day, he drank 20 ounces of water.The change was of of 0 ounces, as 20 - 20 = 0.

Hence the percent decrease is found applying the following proportion:

0/100 x 100% = 0%.

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NEED HELP ASAP
-3/4(5p-12)+2(8-1/4p)
thanks

Answers

after simplifying the expression - 3 / 4 (5 p - 12) + 2 (8 - 1 / 4 p), we get the result as 27 - 17 / 4 p.

We are given the expression:

- 3 / 4 (5 p - 12) + 2 (8 - 1 / 4 p)

We need to simplify and solve the expression.

First we will solve the brackets.

- 15 / 4 p + 9 + 16 - 2 / 4 p

Now we will combine the like terms, so, we get that:

= 27 - 17 / 4 p

Therefore, after simplifying the expression - 3 / 4 (5 p - 12) + 2 (8 - 1 / 4 p), we get the result as 27 - 17 / 4 p.

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Help me, I am struggling.

Answers

Answer:

term

Step-by-step explanation:

If you know any of these please help!

Answers

Answer:

5: 13

6: 7

7: 26

8: 18

9: x=11 , y=3

Step-by-step explanation:

5:

9x + 2 = 119

9x = 117

x = 13

6:

12x - 8 + 104 = 180

12x - 8 = 76

12x = 84

x = 7

7:

5x + 7 = 8x - 71

3x = 78

x = 26

8:

7x - 61 = 4x - 7

3x = 54

x = 18

9:

9x + 25 = 13x - 19

4x = 44

x = 11

13(11) - 19 + 17y - 5 = 180

143 - 24 + 17y = 180

119 + 17y = 180

17y = 61

y = 3

What value of c in the equation cx+4y=12 would give the equation a slope of 8?

Please provide all work and steps you used to find your answer, or the answer is pretty much useless. Thank you!

Answers

The value of c would be -32 to get the slope of 8.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given equation is cx + 4y = 12. Convert the equation into the general form of the equation.

cx + 4y = 12

4y = -cx + 12

y = (-c / 4)x + ( 12 / 4 )

y = ( -c / 4) x + 3

The slope of the equation is ( -c / 4 ) which is to be equal to 8.

( -c / 4 ) = 8

c = -32

Therefore, the value of c would be -32 to get the slope of 8.

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Answer:

for my question u commented on u can just talk about u or anyone for a reference

Step-by-step explanation:

Select all the solutions to this equation. X2 = 121 x = 11 x = 21 x = 61 x = –11 x = –21

Answers

In  quadratic equation  (-11)2 = 121, the solution is actually both x = 11 and x = -11.

What in mathematics is a quadratic equation?

x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

x² = 121. To find x, we need to get rid of the exponent, and to do this, we can take the square root of both sides:

√x² = √121

x = √121

You might believe that x = 11, but keep in mind that x might also be negative because negative numbers can be squared.

In essence, each real number has both a positive and a negative square root.

Because (-11)2 = 121, the solution is actually both x = 11 and x = -11.

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How do you determine whether to use plus or minus signs in the binomial factors of a trinomial of the form x^2 + bx + c where b and c may be positive or negative numbers?

Answers

The rule of signs in binomial factors given a trinomial in the form :

[tex]x^2\pm bx\pm c[/tex]

Note that b and c can be positive or negative.

And the factor may be :

[tex](x\pm m)(x\pm n)[/tex]

First thing to do is to check the sign of c.

If it is positive, the signs of m and n can be both positive or both negative.

Since positive multiplied by positive is positive and

negative multiplied by negative is also positive.

[tex]\begin{gathered} (+)\times(+)=+ \\ (-)\times(-)=+ \end{gathered}[/tex]

If the sign of c is negative, one of the factors must be negative and the other must be positive, because negative multiplied by positive is negative.

[tex](-)\times(+)=-[/tex]

After considering the sign of c, next to check is the sign of b.

Case 1 :

If b and c are both positive, we know that the factors can be both negative or both positive.

And since the sign of b is positive, we must follow the sign of it which is positive.

So both m and n are positive

For example :

[tex]x^2+5x+6[/tex]

The factor will be :

[tex](x+2)(x+3)[/tex]

which are both positive.

Case 2 :

If b is negative and c is positive, we will follow the sign of b. m and n will be both negative.

For example :

[tex]x^2-5x+6[/tex]

The factors are :

[tex](x-2)(x-3)[/tex]

which are both negative

Case 3 :

Now the third case is tricky.

If c is negative, we know that one of m and n is negative and the other one is positive.

The sign of the larger number between m and n will follow the sign of b.

For example :

[tex]x^2-x-6[/tex]

c is negative, so one factor must be negative and the other must be positive. The sign of b is negative, so the larger factor must be negative also.

The factor will be :

[tex](x-3)(x+2)[/tex]

3 is larger than 2, so the negative sign of b will proceed to the factor 3.

You separate bulbs of garlic into two groups. One for planting and one for cooking. The tape diagram represents the ratio of bulbs for planting to bulbs for cooking. You use six bulbs for cooking. Each bulb has 8 cloves. How many cloves of garlic will you plant.

Answers

The number of cloves of garlic you will plant is 288

Given,

There are two groups of garlic bulbs.

Ratio of garlic bulbs = Planting : Cooking = 6 : 1

The number of garlic bulbs used for cooking = 6

The number of cloves in a garlic bulb = 8

We have to find the number of cloves of garlic used for planting:

Here,

Ratio = 6 : 1

1 in ratio represents 6 bulbs of garlic

So, 6 will be, 6 × 6 = 36

That is, the number of garlic bulbs used for planting is 36.

Now,

Number of cloves of garlic used for cooking = 6 × 8 = 48 cloves

Number of cloves of garlic used for planting = 36 × 8 = 288 cloves.

That is, the number of cloves of garlic you will plant is 288.

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Pls help step by step

Answers

The answer is 1.

When dealing with negative exponents, you need to move your number to the denominator and make the exponent positive. Then you can solve.

See details:

Answer:

1/1power4

Step-by-step explanation:

=one on one,and there will be a power four on top of the one.

PLEASE HELP !!What is the slope of a line parallel to the line whose equation is 8x+10y=60.

Answers

Answer:

In slope intercept form -5y = -4 - 30

Step-by-step explanation:

Slope intercept form is y=mx + b

Rewrite your equation in this form

-10y = -8x - 60

Find GCF (Greatest Common Factor) in this case it is 2

Divide all by 2

-5y = -4x - 30

divide both sides by -5

y = 4/5x + 6

slope = 4/5

Answer:

8

Step-by-step explanation:

so we know the formula of a line  is y=mx+b

1. arrange 8x+10y=60 into y=mx+b format

2. 10y=8x+6

3. we see that 8 = m

4. parallel line NEVER intersect so therefore they have the same slope (whereas perpendicular lines intersect so the slope for a perpendicular line would be -1/8)

On a science test, a score of
91 falls exactly 1.5 standard
deviations above the mean. If
the standard deviation for the
test is 8, what is the mean score?

Answers

The standard deviation for the test is 8, the mean score is 79.

what is standard deviation?

The standard deviation is a measurement of how much a group of values vary or are dispersed. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

Given that,

On a science test, a score of 91 falls exactly 1.5 standard deviations above the mean.

μ + 1.5σ = 91

If the standard deviation for the test is 8

σ = 8

μ + 1.5σ = 91

μ + 1.5(8) = 91

μ + 12 = 91

μ = 91-12

μ = 79

Therefore, the mean score is 79.

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Find (b2)2(b2)2 for the equation 3x2−5x−3=0

Answers

The value of the function (b²)²(b²)² from the given quadratic equation is 390,625.

What is the solution of a quadratic function?

The solution of a quadratic function is determined from either formula method or completing the square method.

The equation for the formula method of solving a quadratic function is given as;

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

where;

a is the coefficient of x²b is the coefficient of xc is the constant

The given quadratic function;

3x² - 5x - 3 = 0

from the equation above we can infer the following;

a = 3

b = -5

c = -3

The obtain the value of the function [ (b²)²(b²)²], we will substitute the value of b from the above quadratic equation into the given function as shown below.

(b²)²(b²)² = (-5²)²(-5²)² = (-5)⁸ = 390,625

Thus, the value of the function (b²)²(b²)² is determined by applying the formula method of solving a quadratic function.

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A fish was skimming 3.5 feet below the waters surface at 7:00 am. Four hours later, the fish was at the depth that is 5 1/4 feet below where it was at 7:00 am. What rational number represents the position of the fish with respect to the waters surface at 7:00 am?

Answers

Yo noni el rey ni me puedo poner los tenis y me lo paso bien pero como que me voy al baño de mi cuarto de baño de mi casa de mi madre que

2/5m - 4/5 - 3/5m

PLEASE HELP!! ASAP

Answers

Answer:

-1

Step-by-step explanation:

All of them have the same denominator so we can take the denominator out

2-4-3 = -1 m


Write this word sentence as an equation and then solve.
The nine less than the quotient of a number w and -3 is 54.

Answers

Value of w will be [tex]\frac{45}{Q}[/tex] + 3

What is division?

Division is the process of dividing a bunch of items into equal portions. It is one of the four fundamental operations in mathematics and results in a just distribution of resources. The division of two numbers can be calculated using the following formula: Dividend Divisor = Quotient + Remainder. The number that is being divided in this case is known as the dividend. The number that divides the number (dividend) into equal parts is known as the divisor. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each. The division sign, "÷" or occasionally "/," is used in computer code.

Given Data

The nine less than the quotient of a number w and -3 is 54.

Let the quotient be Q

9 - Q( w - 3) = 54

Solving,

-Q(w  - 3) = 54 -9

w-3 = [tex]\frac{45}{Q}[/tex]

w = [tex]\frac{45}{Q}[/tex] + 3

Value of w will be [tex]\frac{45}{Q}[/tex] + 3

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where w is the width of the rectangle. Assume that w is a whole number. Use this function to answer Items 17-20. 17. Make a table of values and a graph of the function. 18. Attend to precision. Give a reasonable domain for the function in the context. Explain your answers 19. Identify the y-intercept of the function. What does the y- insert represent within this context? 20. What is the absolute maximum of the function? What is the absolute minimum?

Answers

Answer: I would use the max as 25

Step-by-step explanation: You use the variables of y, for the numbers os the maximum. so i would be high

Need help asap please and thank you.

Answers

The first 4 sequence of Arithmetic progression is 42, 37, 32,  27.

Let n =1

[tex]a_{n} = 42-5(n-1)\\a_{1} = 42-5 (1-1)\\a_{1} = 42[/tex]

Let n=2

[tex]a_{n} = 42-5(n-1)\\a_{2} = 42-5 (2-1)\\a_{2} = 42-5\\a_{2} = 37[/tex]

let n= 3

[tex]a_{n} = 42-5(n-1)\\a_{3} = 42-5 (3-1)\\a_{3} = 42-10\\a_{3} = 32[/tex]

Let n= 4

[tex]a_{n} = 42-5(n-1)\\a_{4} = 42-5 (4-1)\\a_{4} = 42-15\\a_{4} = 27[/tex]

What is  arithmetic sequence?

An arithmetic sequence is a list of numbers with a specified pattern. If you take some number in sequence, subtract it from the previous one, and the result is always the same or constant, it is an arithmetic sequence.

An arithmetic sequence is defined in two ways. It is "a sequence in which the differences between any two consecutive terms are the same" (or) In an arithmetic sequence, "each term is obtained by adding a fixed number (positive or negative or zero) to the previous term. The following is an arithmetic sequence because each term is obtained by  a fixed number when added to its previous term.

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Which inequality is true?
A. 5π > 15
B. π+9<12
C. 6/2m > 1
D. 47-2<10

Answers

Answer: A

Step-by-step explanation:

[tex]\pi > 3 \implies 5\pi > 15[/tex]

Find the equation of the straight line passing through the point (0,-1) which is perpendicular to the line y=3/4x-3

Answers

Considering the definition of perpendicular line, the equation of the straight line passing through the point (0,-1) which is perpendicular to the line y=3/4x-3 is y= -4/3x -1.

Linear equation

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

Perpendicular line

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

Equation of perpendicular line in this case

The line is y= 3/4x - 3. The line has a slope of  3/4.

If you multiply the slopes of two perpendicular lines, you get –1, you get:

3/4× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (3/4)

slope perpendicular line= -4/3

The perpendicular line has a form of: y= -4/3x + b

The line passes through the point (0, -1). Replacing in the expression for perpendicular line:

-1= -4/3×0 + b

-1= 0 + b

-1= b

Finally, the equation of the perpendicular line is y= -4/3x -1 .

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Consider parallelogram EFGH below.
WORTH 50 POINTS!!​

Answers

As a result, in the parallelogram before, x = 4, Angle E = 104 degrees, and Angle EFH = 32 degrees.

What characteristics do parallelograms have?

1. Opposing sides are congruent sides. ...

2. Opposing angles are congruent angles. ...

3. Interior angles that follow one another on the same side are supplementary. ...

4.Each of a parallelogram's diagonals divides it into two congruent triangles. ...

5. The diagonals of a parallelogram split in half.

As a result,

EH and FG's sides are parallel and equal.

so 3x=12

x=4

to determine Angle E

FGH Triangle

Angles FHG + HFG + G add up to 180.

(The total of a triangle's angles is 180)

FHG angle=180-44+104

                 =32

Angles EFH = FHG (alternate interior angles)

                    =32

Angle HFG = Angle EHF (alternate interior angles)

                   =44

Angle E=Angle HGF( opposite angles are equal in a parallelogram)

            =104

Therefore the value of x in the given quadrilateral is 4 , the angle E is 104 degree and the value of Angle EFH is 32 degree.

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which of the three curves drawn matches the graph of y= 2x^2 +x

Answers

The curve that matches the graph of:

y = 2x^2 + x

Is the orange curve.

Which of the 3 curves matches the graph of the given function?

Here we want to see which one of the graphed curves matches the graph of the quadratic equation:

y = 2x^2 + x

To check that, we can evaluate this curve in some values of x and find some points.

For example, if x = 0 then:

y = 2*0^2 + 0 = 0

So we have the point (0, 0).

Now, if x = 1 then:

y = 2*1^2 + 1 = 2 + 1 = 3

So we have the point (1,3).

So now we just need to see which of the curves passes through the points (0, 0) and (1, 3), and that one will be the orange curve.

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Which option shows the plan and which option shows the side elevation?

Answers

Option B picture shows the plan of the given 3D shape and Option I picture shows the side elevation of the given 3D shape.

Plan: When an object is viewed from the top, that section or part is called a plan view of that object.

Options C, G, F, and B- all are viewed from the top: however out of these four only Option B shows the real plan of this given 3D object while others change its dimension and shape.

(F is shown as an oval)(C is shown as small and inclined)(G is shown as smaller than the actual image)

Elevation: When an object is viewed from one side of the object, that section or part is called an elevation view.

Options D, E, A, and I- all are in elevation view, however, only option I is satisfying and shows the real elevation of a given 3D object.

(A shows a bit of curve in the below edge )(D shows again a curve with a narrow structure)(E shows a perfect edge however it is also narrower than the actual image)

Therefore, only option B and option I are showing the correct plan and elevation of a given image.

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Rosa got 5 out 7 answers correct on her science quiz. Her older sister Ana got 4 answers out of 6 correct on her science quiz. Which sister answered a greater fraction of the questions correctly?

Answers

Answer:

Rosa

Step-by-step explanation:

5/7 fraction  = 0.71

4/6 fraction  = 2/3 = 0.6

If y varies directly as x, and y=10 when x=20, find y when x=3

Answers

Answer:

y = -7

Step-by-step explanation:

If y = 10 when x = 20, then we can find the difference when we do y + 1 = x + 1, which is 11 = 21. Therefore, the difference between x and y is 10. So, we need to do 3-10, which gives us -7.

The midpoint of line segment AB is M(3,-1). If the coordinates of A(8,4), what are the coordinates of B?

Answers

The coordinates of B are (-2 , 9)

Step-by-step explanation:

A (8, 4)

M (3 , -1)

To calculate a midpoint you have to add the corresponding coordinates of each point and divide them by 2

(Ax + Bx) / 2 = Mx

(8 + Bx) / 2 = 3

8 + Bx = 3 * 2

Bx = 6 - 8

Bx = -2

(Ay + By) / 2 = My

( -1 + By) / 2 = 4

-1 + By = 4 * 2

By = 8 + 1

By = 9

The coordinates of B are (-2 , 9)

The graph shows the relationship between the number of cups of flour and the number of cookies made. Write an equation for the proportional relationship.

Answers

The equation for the proportional relationship is 16x-y=0 .

The equation of the line passing through the two points (a,b) and (c,d) is given by

(y-b) = m(x-a), where m is the slope .

In the question ,

Given in the graph that

x represents the number of cups of flour and y represents the number of cookies made .

From the graph we can see that

when 6 cups of flower is used , 96 cookies are made

So, the point on the line is (6,96),

when 12 cups of flower is used , 192 cookies are made

So, the point on the line is (12,192)

hence the line passes through the two points (6,96) and (12,192).

So the slope of the line is

m=(192-96)/(12-6)

m= 96/6

m=16

Substituting the values of a,b, c,d and m in the equation of line formula ,we get

y-96=16(x-6)

y-96 = 16x - 96

16x-y=96-96

16x-y=0

Therefore , The equation for the proportional relationship is 16x-y=0.

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A rectangular garden is 5 ft longer than it is wide. Its area is 300 ft. What are its dimensions?

Answers

The dimensions of the garden are l=20 ft and w=15 ft.

Given, the rectangular garden is 5 ft longer than it's width.

The area of the garden is 300 ft.

dimensions of the garden are = ?

let the width be represented by x.

therefore, length = 5+x

area of the rectangle = l×w

substitute the values.

x(5+x) = 300

5x + x² = 300

x² + 5x - 300 = 0

x²+20x-15x-300 = 0

x(x+20)-15(x+20)=0

(x+20)-(x-15)=0

x=-20 or x=15

hence the dimension cannot be negative.

hence x=15.

substitute x=15 in l=x+5

l=15+5

l=20

Therefore, length and width of the rectangle garden are 20 ft and 15 ft, respectively.

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figure. (Sides meet at right angles.
4 in
8 in
2 in
4 in
5 in
2
in

Answers

Could u explain more ?

City planners want to construct a bike path perpendicular to Lorne Lane at point P. An equation for the Lorne Lane line is y = -4/5x. Find an
equation for the line for the bike path.
The equation of the line for the bike path is ?

Answers

The equation of the line for the bike path is :

y = -5x - 15.

How to find the equation of a perpendicular line ?The original slope's reciprocal will be the opposite of the perpendicular slope. To find the intercept, b, enter the supplied point and the new slope into the slope-intercept form (y = mx + b). Rewrite the following equation in standard form: ax + by = c.

Here :

Equation for the Lorne Lane line is y = -4/5x.

slope of the Eqe is -4/5

slope of the bike path perpendicular to Lorne Lane is -5/4

from the Graph point p is (-4, -10)

so

Equation of the line is y = -5x -15;

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Answer:

y=-5x-15

Step-by-step explanation:

What is the slope of the line that passes through the points (4,7) and
(7, 16)? Write your answer in simplest form.

Answers

The slope of the line passing through  (4,7) and (7, 16) is 3

What is Slope ?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run". It is denoted by "m".

Formula, m = rise / run = (y2 - y1) / (x2 - x1)

Given,

(x1, y1) = (4, 7)

(x2, y2) = (7, 16)

Now, put these values in slope (m) formula,

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

   = (16 -7) / (7 - 4)

   = 9/3

   = 3

Therefore, the slope of the line passing through  (4,7) and (7, 16) is 3.

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How do plants grow? Plants grow through cell differentiation. Plants grow through the process of mitosis. Plants grow through photosynthesis. Plants grow through cellular respiration. differentiate between an encyclopedia and a dictionary :-;thankyou! :) two cards are dealt from a deck of four red cards labeled a, b, c, d and four green cards labeled a, b, c, d. a winning pair is two of the same color or two of the same letter. Using information from the chapter, how would you explain thearchitecture and function of Great Zimbabwe? que significa el viento gime por su soledad ayudaaaaaaaaaaaaaaaaaaa Figure 2 shows a series circuit.R1Figure 2RResistor R breaks. What happens to the reading on the ammeter? how does the Army Corps of engineers affect agriculture According to this map, the Hellenistic Age shaped the culture from (1 point) a 334 BCE to 323 BCE b 323 BCE to 334 BCE c 334 BCE to 331 BCE d 330 BCE to 323 BCE Under his cell phone plan, Carlos pays a flat cost of $57 per month and $5 pergigabyte. He wants to keep his bill under $65 per month. Write and solve aninequality which can be used to determine x, the number of gigabytes Carloscan use while staying within his budget. Jamie is planning on dropping a ball down from a tall building to measure its velocity. In the process, she also wants to know how tall the building is. She uses a weird measuring tool that finds that the ball traveled -700 feet. She doesnt know how to translate this into an answer she and her teacher will understand. What can she do? Many people migrated from the North and East to the Sun Belt states during the 1950s because ofthe response to the Cold War.the expansion of urban areas.the interstate highway system.the influence of beatniks. Please Tell Me! find the distance between A(7, 10) and B(9,-3). Write your answer as a radical and as a decimal rounded for nearest ten. How many times is 8 x 10 to the negative power of 5 larger than 2 x 10 to the negative power of 7 Looking at the perspectives of those who favor middle school homework and those who oppose it, we can see one thing that they have in common is Why is it significant that the process has continued essentially unchanged for so many years? What does this fact suggest about the townspeople? (a) according to the line of best fit, what would be the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours? What is the truth value for the following conditional statement?p: falseq: true~q > ~pOFT FOFT TOTT TOFF F Which four planets can be seen from Earth at the same time at certain times of the year?help please Develop a table of values for each equation. Find at least three ordered pairs for each one 1.y=x+42.y=3x-6 Summarize the major changes that Roosevelt brought to the United States?