Which of the following can be used as "reasons" in a two-column proof?

given
inductive reasoning
definitions
algebraic properties

Answers

Answer 1

Answer:

Algebraic properties can be used as "reasons" in a two-column proof.

Step-by-step explanation:

Algebraic properties can be used as "reasons" in a two-column proof.

Let's take an example:

Given: F = 9/5C + 32

Prove: C = 5/9(F-32)

Statements                                       Reasons

1) F = 9/5C + 32                               1) Given

2) F-32 = 9/5C                                 2) subtraction

3) 5/9(F-32) = C                                3) multiplication

4) C = 5/9(F-32)                                4) symmetric property

Therefore, we conclude that Algebraic properties can be used as "reasons" in a two-column proof.


Related Questions

help meeeeeeeeeeeeee​

Answers

Answer: 36

Step-by-step explanation:

I need help with this math question

Answers

3 2/3 + 1 3/4 + 2/3 equals 6.08 so 6/12

Answer:

D. 6 1/12

Step-by-step explanation:

3 2/3 + 1 3/4 + 2/3

= 3 8/12 + 1 9/12 + 8/12

= 3 + 1 + (8/12 + 9/12 + 8/12)

= 4 + (25/12)

= 4 + (24/12 + 1/12)

= 4 + 2 1/12

= 6 1/12

I really need help with this

The price of fuel may increase due to demand and decrease due to overproduction. Marco is studying the change in the price of two types of fuel, A and B, over time.


The price f(x), in dollars, of fuel A after x months is represented by the function below:


f(x) = 2.27(0.88)x


Part A: Is the price of fuel A increasing or decreasing and by what percentage per month? Justify your answer. (5 points)


Part B: The table below shows the price g(m), in dollars, of fuel B after m months:



m (number of months) 1 2 3 4

g(m) (price in dollars)3.44 3.30 3.17 3.04



Which type of fuel recorded a greater percentage change in price over the previous month? Justify your answer.

Answers

Answer:

  A. decreasing 12% per month

  B. fuel A recorded the greater change

Step-by-step explanation:

Given an equation and a table of values, you want to compare the rates of change each represents.

A.

The fuel price is described by ...

  f(x) = 2.27(0.88^x)

We recognize this exponential equation to be of the form ...

  f(x) = (initial value) × (growth factor)^x

Comparing parts of the equation, we see ...

  growth factor = 0.88

The relation between growth factor and growth rate is ...

  growth factor = 1 + growth rate

  growth rate = growth factor - 1 = 0.88 -1 = -0.12 = -12%

This tells us the rate of change in fuel price is -12% per month.

B.

To find the percentage change, we can use the formula ...

  percent change = ((new value) / (old value) -1) × 100%

Applied to the first two table values, we have ...

  percent change = (3.30/3.44 -1) × 100% ≈ -4.07%

This decrease of 4.07% is less than the decrease of 12% represented by the equation. Type A fuel recorded the greater percentage change.

What is the standard form equation of the line shown below?

Answers

Answer:

y = -0.25x + 4.5

Step-by-step explanation:

hope this helps :D pls mark brainliest :D

Evaluate 38-3x5 will give brainlynest for answer please let it be correct

Answers

due to pemdas you would multiply first which would give u the answer of 23

Find the average rate of change of g ( x ) = 7 x 2 + 8 x 3 on the interval [-3, 4].

Answers

The average rate of change of g ( x ) = 7 x 2 + 8 x 3 on the interval [-3, 4] is 111.

According to the given question.

We have a function g(x) = 7x^2 + 8x^3.

And a interval [-3, 4].

As we know that, the average rate of change of y over an interval between 2 points (a, f(a)) and (b, f(b)) is the slope of the secant line connecting the 2 points.

To calculate the average rate of change between the 2 points we use the formula

f(b) - f(a)/ b - a

Therefore, the average rate of change of g ( x ) = 7 x 2 + 8 x 3 on the interval [-3, 4] is given by

[7(4)^2 + 8(4)^3  - 7(-3)^(2) - 8(-3)^3]/4 + 3

= [112 + 512 - 63 + 216]/7

= 777/7

= 111

Hence,  the average rate of change of g ( x ) = 7 x 2 + 8 x 3 on the interval [-3, 4] is 111.

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If x=30827533.828277 and y=91036482828.54233 and z= 64699225.9172, what is x times z divided by (x times y)?

Answers

9514 1404 393

Answer:

  ≈ 0.0007106955794750354

Step-by-step explanation:

(xz)/(xy) = z/y = 6469922591720 / 9103648282854233

  ≈ 0.0007106955794750354 . . . . rounded to 16 significant figures

__

The result will be a repeating decimal fraction with a very long repeat. It may be longer than 70 billion digits.

Find the distance between M(4,−3) and N(−2,1) .

Answers

Answer:

√40 is answer

Step-by-step explanation:

distance between 2points =√(x2-x1)²+ (y2-y1)

=√(2+4)²+(-1+3)²

=√62+22

=√36+4

mark as brainlist

=√40

precalc help! i will report any fake answers

Answers

Answer:

D) 41.81 degrees

Step-by-step explanation:

In this problem, we are given a leg length (a=12) and the hypotenuse (c=18).

We need to select which trigonometric identity to use with the acronym SOHCAHTOA:

SOH -> sine=opposite/hypotenuse

CAH -> cosine=adjacent/hypotenuse

TOA -> tangent=opposite/adjacent

Given side a is opposite of angle A and side c is the hypotenuse, we clearly need to use the sine function.

Set up an equation based on the information you have:

sin(A)=12/18

Now take the inverse:

sin^-1(sin(A))=sin^-1(12/18)

A=41.8103149

So the best option is answer D) 41.81 degrees

Communicating
about Mathematics-

How can defining your variables when writing a system of equations help you determine the
answer to the question being asked?

Answers

Answer:

maths

Step-by-step explanation:

units
5. Jerry is building a fence around a
rectangular garden. The length of the
fence is 7 feet and the width is 5 feet. How many square feet does he have inside for planting?

Answers

35 square feet inside for planting

please answer this extreme hard question. WHAT IS 1+1

Answers

golly gee this is hard... um take the one put it in the box..? maybe 7?

PLS HELP A company that rents cars will rent a small car for $30 per day. Another company will rent the same type of car for $20 per day plus $0.08 for each mile driven. What is the number of miles per day at which the rental fees will be the same?

Answers

Answer: 125$

Step-by-step explanation:

find the slope of the line. ​

Answers

Answer:

-1/2

Step-by-step explanation:

Answer:

This

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

2

-1

= -2

θ =  

arctan( ΔY ) + 180°

ΔX

= 116.56505117708°

ΔX = -3 – 0 = -3

ΔY = 0 – -6 = 6

Distance (d) = √ΔX2 + ΔY2 = √45 = 6.7082039324994

Equation of the line:

y = -2x – 6

When x=0, y = -6

When y=0, x = -3

A pack of batteries that come in a 48 count are $24.98 what is the unit price of just one battery?​

Answers

Answer A pack of batteries that come in a 48 count are $24.98 what is the unit price of just one battery is  $0.50

Please need help on this one do list on this.

Answers

Answer:

HIG and EFD

Step-by-step explanation:

simmlar tryangles

need help asap with this geomtry question!

Answers

Answer:

[tex]1-25[/tex]

Step-by-step explanation:

[tex]As\ we\ know\ that,\\The\ Sum\ of\ two\ sides\ of\ a\ triangle\ is\ always\ greater\ than\ the\ third\ side.\\Hence\ here,\\(10+14)>(x-2)\\24>x-2\\24+2>x-2+2\\26>x\\Or, x<26\\Hence,\\As\ x\ practically\ cannot\ be\ neither\ be\ negative, null nor\ 26,\ the range\ is\ from\ 1-25.\\[/tex]

given the function f defined by the formula f (x)=2x+1 find the following:
evaluate f(-5)
f(-5)=
f(-5)=
f(-5)=​

Answers

Answer:

f(-5)=-9

Step-by-step explanation:

f(x)=y

So knowing that -5 is equal to x plug it in

y=(2)(−5)+1

y=−9

If you have more questions just ask.

Does the MVT apply? Explain why or why not.
y=-x^2/x-1 ; [-1,1]

Answers

Hi there!

[tex]\large\boxed{\text{No, it does not.}}[/tex]

[tex]y = \frac{x^{2} }{x-1}[/tex]

Looking at the equation, we can see that there is a discontinuity at x = 1 (Vertical Asymptote).

The interval given also includes x = 1 as an enclosed value.

Therefore, the MVT does not apply because the equation is not continuous on the interval [-1, 1].

1/2 X+4=6, Solve for X

Answers

Answer:

x = 4

Step-by-step explanation:

1/2 x 4 = 2 + 4 = 6

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

1/2x + 4 = 6

Step 2: Solve for x

Subtract 4 on both sides:                    1/2x = 2Divide 1/2 on both sides:                     x = 4

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    1/2(4) + 4 = 6Multiply:                               2 + 4 = 6Add:                                     6 = 6

Here we see that 6 does indeed equal 6.

∴ x = 4 is the solution to the equation.

PLSSS HELPPP WILL GIVE BRAINLIEST

which equation describes the pattern shown in the table ​

Answers

Answer:

D

Step-by-step explanation:

Answer:

To be honest it has to be d

Step-by-step explanation:

Need answer asap.......

Answers

Answer: For this one, I'll use y=mx+b because that equation make the most sense in this scenario.

A) X is the number of hours, and 15, or b is the tip

B) y= 30x + 15.

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

May I please have brainliest?

Monique buys a $4,700 air conditioning system using an installment plan that requires 20% down. How much is the down payment? *

Answers

Answer:

$940

Step-by-step explanation:

4700/0.2 = 940

PLEASE HELP ASAP!!!!!
Are the lines y=3x-2 and y=5+3x parallel, perpendicular, or neither? How do you know?

Answers

Answer:

Parallel

Step-by-step explanation:

They're Parallel because whenever you graph them you see they never touch.

3/5 = blank/20 whats the answer?

Answers

Answer:

3/5 = 12/20

Step-by-step explanation:

5 x 4 = 20 so mulyiply 3 x 4 to get 12

Using the graph, determine the coordinates of the roots of the parabola.
-6
-7
-4
-5
-3
-2
-10-9-8
-1
3
6
4
8
-1

Answers

Answer:

(1,0) (5,0)

Step-by-step explanation:

roots of a parabola are the x intercepts

Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend Ted lives about 15 m below her. Choose the compound inequality that describes the elevation x of Ted's house. Part B Ted lives between _____m and _______m above sea level.​

Answers

The compound inequality to describe the elevation of Ted's house is 135 > x > 128.

Ted lives between 128m and 135m above sea level.​

How to explain the inequality?

Now it is given that,

Sakura's house is at an elevation between 113 m and 120 m above sea level.

Let x be the elevation of Sakura's house.

So, 120 > x > 113

Now Ted lives about 15 m below her

Ted's  house elevation = x - 15

So, the compound inequality to describe the elevation of Ted's house,

120 > x - 15 > 113

Adding 15 to the inequality we get,

120 + 15 > x - 15 + 15 > 113 + 15

Solving we get,

135 > x > 128

This is the required compound inequality.

Thus, the compound inequality to describe the elevation of Ted's house is 135 > x > 128.

Learn more about inequality here:

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What is the unit rate of a line that goes through the points (3,1)?

Answers

Answer:

2?

Step-by-step explanation:

maybe 2 is in between 1 and 3

What is the answer to Y=30x+25

Answers

Answer:

x=1/30y + -5/6

Step-by-step explanation:

Mrs. Fansler gives 25 assignments while Ms. Taylor gives 20 assignments. What is the ratio of Mrs. Fansler’s assignments to Ms. Taylor's assignments in simplest form? Write as a fraction using the / for the fraction bar (ex. 2/3 with no spaces).

WILL GIVE BRAINLIEST!!

Answers

Answer:

5/4?

Step-by-step explanation:

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