Exercise 2.4.4: Showing a statement is true or false by direct proof or counterexample. About Determine whether the statement is true or false. If the statement is true, give a proof. If the statement is false, give a counterexample. (a) If and are even integers, then is an even integer. Solution (b) If is an even integer, then and are both even integers. (c) If , then . Solution (d) If x and y are real numbers and , then . Solution (e) If and are positive real numbers and , then . (f) The average of two odd numbers is an odd integer. (g) The average of two even numbers is even. (h) The average of two odd numbers is an integer. Solution

Answers

Answer 1

Answer:

Step-by-step explanation:

and ok thats the deal


Related Questions

TIMED QUESTION HELP FAST

Answers

Answer:

D

Step-by-step explanation:

A and B cannot be the right answers, because the left part of the graph is inclusive (so the right answer has to include [tex]x\leq 1[/tex] instead of [tex]x<1[/tex]).

C can also not be the right answer, because for [tex]x=0[/tex], [tex]y=-1[/tex] instead of [tex]2(0)^2 = 0[/tex].

So D is the correct answer by elimination.

Yvonne Simmons is a technical writer at ZAP Electronics with an annual salary of
$72,500. The board of directors at ZAP voted to give all employees a
cost-of-living adjustment of 1.5% and Simmons a merit increase of 4%. What will
Simmons's salary be for the upcoming year?

Answers

Answer:

$76,487.50

Step-by-step explanation:

If 2.22 moles of ammonia (NH3 ) decomposes according to the reaction shown, how many moles of hydrogen (H2 ) are formed? A. 1.11 moles of H2 B. 3.33 moles of H2 C. 6.66 moles of H2 D. 2.22 moles of H2

Answers

Answer:

C. 3.33 moles

Step-by-step explanation:

Ammonia decomposes

[tex]2NH_3\rightarrow N_2+3H_2[/tex]

We have to find the moles of hydrogen formed in 2.22 moles of ammonia.

From the reaction

2 moles of ammonia gives 3 moles of hydrogen

1 mole of ammonia  produce hydrogen=3/2 moles

2.22 moles of ammonia produces hydrogen=[tex]\frac{3}{2}\times 2.22[/tex] moles

Number of moles of hydrogen formed by decomposition of 2.22 moles of ammonia

=[tex]\frac{6.66}{2}=3.33[/tex]moles

Hence, 3.33 moles of hydrogen are formed in 2.22 moles of ammonia.

Option C is true.

C. 3.33 moles

A car dealership decreased the price of a certain car by 14%. The original price was $48,200.
(a) Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal.
New price = { x Original price
(b) Use your answer in part (a) to determine the new price.
New price: $0

Answers

Answer:

a) New price = 0.86 * Original price

b) New price = 0.86 * 48200 = $41452

Step-by-step explanation:

Hello, please help.

Find the value of x:

x^2 + 3x^3 - 2x + 9 = 24 + 54x + 92x^2 - 2x^3

Answers

Answer:

-91x² + 5x³ - 56x -15 = 0

Step-by-step explanation:

x² + 3x³ - 2x + 9 = 24 + 54x + 92x² - 2x³

x² + 3x³ - 2x + 9 - 92x² = 24 + 54x + 92x² - 2x³ - 92x²

-91x² + 3x³ - 2x + 9 + 2x³ = 24 + 54x -2x³ + 2x³

-91x² + 5x³ - 2x + 9 - 54x = 24 + 54x - 54x

-91x² + 5x³ - 56x + 9 - 24 = 24 - 24

-91x² + 5x³ - 56x -15 = 0

Hope this helps!

Maybe brainliest?

Pls hurry and help!!!!! 3х + 3 = Зу
2x – 6у = 2. Solve the equations by using elimination (adding) show work

Answers

Answer:

Step-by-step explanation:

3x - 3y = -3

2x - 6y = 2

-6x + 6y = 6

2x - 6y = 2

-4x = 8

x = -2

-4 - 6y = 2

-6y = 6

y = -1

(-2, -1)

Convert 199º to radians. Round to 2 decimal places.

Answers

Answer:

3.47

Step-by-step explanation:

Answer: 199π/180

Step-by-step explanation:

The formula for converting degrees to radians is [tex]x[/tex]°·[tex]\frac{\pi }{180}[/tex]

In this case, that gives you [tex]\frac{199\pi }{180}[/tex]. 199 is a prime number, so this can't be simplified down any further.

Also, the formula for converting radians to degrees is just the opposite: you multiply your radian measure by [tex]\frac{180}{\pi }[/tex] to cancel out pi.

Hope this helps :)

Which pair of ratios forms a proportion?
A 7 15
10 18
B 5 15
9 27
C 3 15
10 25

Answers

B )5 15 ;9 27 its proportion

Is AABC-ADEF? If so, identify the similarity postulate or theorem that applies 30- A​

Answers

Answer:

C. Similar - AA

Step-by-step explanation:

From the diagram given, we know that all 3 angles of ∆ABC are congruent to all corresponding 3 angles of ∆DEF.

If we know just two of the angles of the two triangles given are equal to each other, it is enough information for us to prove that they are similar to each other based on the AA Similarity theorem.

The corresponding three angels of both triangles are equal, therefore, based on AA, they are similar to each other.

Find both the area and the perimeter of the semi circle

Answers

Answer/Step-by-step explanation:

Area of a semicircle = ½πr²

Perimeter of a semicircle = πr + d

7. d = 14 m

r = ½ of d = 7 m

Area = ½*π*7² = ½*π*49

✅Area = 76.97 m² (nearest hundredth)

Perimeter = π*7 + 14

✅Perimeter = 35.99 m (nearest hundredth)

8. d = 35 in.

r = ½ of d = 17.5 in.

Area = ½*π*17.5² = ½*π*306.25

✅Area = 481.06 in.² (nearest hundredth)

Perimeter = π*17.5 + 35

✅Perimeter = 89.98 in (nearest hundredth)

Factorise 12x^2 + 8x^3

Answers

Answer:

The answer is 4x^2 (3+ 2x)

Step-by-step explanation:

Factor  4 x ^2  out of  12 x ^2  +  8 x ^3 .

hoped this helped!

brainly, please?

Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B rounds every 1 minute and 40 seconds in the gate 2. If they conduct rounds at the same time. After how many minutes they will rounds together again?

Answers

Answer:

[tex]Time = 11\frac{2}{3}\ min[/tex]

Step-by-step explanation:

Given

[tex]Security\ A = 2\ mins, 20\ secs[/tex]

[tex]Security\ B = 1\ mins, 40\ secs[/tex]

Required

After how many minutes, will they round together

First, convert the given time to minutes

[tex]Security\ A = 2\ mins, 20\ secs[/tex]

[tex]Security\ A = 2\ mins+ 20\ secs[/tex]

[tex]Security\ A = 2\ mins+ \frac{20}{60}\ min[/tex]

[tex]Security\ A = 2\ mins+ \frac{1}{3}\ min[/tex]

[tex]Security\ A = 2\frac{1}{3}\ min[/tex]

[tex]Security\ B = 1\ mins, 40\ secs[/tex]

[tex]Security\ B = 1\ mins+ 40\ secs[/tex]

[tex]Security\ B = 1\ mins+ \frac{40}{60}\ min[/tex]

[tex]Security\ B = 1\frac{2}{3}\ min[/tex]

So, we have:

[tex]Security\ A = 2\frac{1}{3}\ min[/tex]

[tex]Security\ B = 1\frac{2}{3}\ min[/tex]

List out the multiples of the time of both security personnel take round.

[tex]Security\ A = 2\frac{1}{3}min,\ 4\frac{2}{3}min,\ 7min,\ 9\frac{1}{3}min,\ 11\frac{2}{3}min...[/tex]

[tex]Security\ B = 1\frac{2}{3}min,\ 3\frac{1}{3}min,\ 5min,\ 6\frac{2}{3}min,\ 8\frac{1}{3}min,\ 10min\ ,11\frac{2}{3}min,...[/tex]

In the above lists, the common time is:

[tex]Time = 11\frac{2}{3}\ min[/tex]

This implies that they go on round after [tex]11\frac{2}{3}\ min[/tex]

Janice attempted to shoot 42 free throws with a basketball. She made 35 of the free throws. Based on those results what would you estimate the probability to be that she makes the next free throw?
A) .5333
B) .6333
C) .7333
D) .8333

Answers

Answer:

Probability = 0.8333...

Step-by-step explanation:

Based on the data, the probability is :

P = number of successes/number of possible outcomes

P = 35 /32 = 0.8333...

which agrees with answer D) in your list

A restaurant needs to plan seating for a party of 150 people. Large tables seat 10 people and small tables seat 6. Let x represent the number of large tables and y represent the number of small tables. The expression 10A + 6B, which represents the total number of people you can seat using A large tables and B small tables, is called a linear combination. For instance, 150 people could be seated using 6 large tables and 15 small tables. Use that expression to enter an equation in standard form that models all the different combinations of tables the restaurant could use. Then identify at least one possible combination of tables other than (6, 15).

The equation is . Another possible combination is

Answers

Answer:

15

Step-by-step explanation:

Solve the system of linear equations by graphing

Answers

The answer to this problem is (x,y) = (-4,2)

Answer:

Place one dot at (0,-2) and another point at (-1,-1) then draw a line through it. Then place a dot at (0,3) and (1,0) And draw a line through those two points. Wherever those two lines intercept will be your answer.

Step-by-step explanation:

Solving systems of equations mastery test

Answers

Answer:

Is there a question?

Step-by-step explanation:

Need help with this please and please explain as well thank you

Answers

Answer:

324

Step-by-step explanation:

4 × 6 × 11 in = 264 [tex]in^{2}[/tex]

3 × 4 × 5 in = 60 [tex]in^{2}[/tex]

264+60= 324

What's the slope of -x+2y=5​

Answers

Answer:

Slope = (1/2)

Step-by-step explanation:

Rearrange the equation into the y = mx + b format.

-x + 2y = 5

2y = x + 5

y = (1/2)x + (5/2)

m represents slope, which is (1/2) in this question.

The statement "one-eighth the age, a" can be expressed algebraically as ?

Answers

Answer:

1/8a

Step-by-step explanation:

helppppppppppp pleaseeee

Answers

Answer:

25

Step-by-step explanation:

Which statement describes the graph

Answers

Answer:

Your answer is A

Step-by-step explanation:

I hope I helped :)

Your answer is going to be A.

please help me!! i will mark brainliest!!

Answers

Answer:

350?

Step-by-step explanation:

the answer is 26.2 inches!

Any help? I'm having trouble. ​

Answers

Answer: Decay bc its less than 1.00 (proven by the exponential decay equation)

Step-by-step explanation:

percent would be 1.00-0.96= 0.04 , 4%

Which of the following linear equations below is equivalent to 10x−5y=−15?
a. y = 3x + 2
b. y = 2x + 3
c. y = 3x - 2
d. y = 2x - 3

Answers

Answers:

B. y = 2x + 3

hope this helps

20) Write a division number story with an answer of 1/4.

Be sure to ask a question.

Answers

Answer:

Story: Mr. Lanre bought 8 apples for $2. What is the cost of each apple.

Step-by-step explanation:

Given

[tex]Answer = \frac{1}{4}[/tex]

Required

Write a division story

A division story could be:

Mr. Lanre bought 8 apples for $2. What is the cost of each apple.

Solving the above problem, we have:

[tex]Apples = 8[/tex]

[tex]Total\ Cost =\$2[/tex]

The cost of each is:

[tex]Each = \frac{Total\ Cost}{Apples}[/tex]

[tex]Each = \frac{2}{8}[/tex]

Simplify fraction

[tex]Each = \frac{1}{4}[/tex]

(1) The ratios 18:3 and 6:1 are equivalent. Why?

Answers

Answer:

Because if you take 18:3 and divide both sides by 3, you will get 6:1

Step-by-step explanation:

Because 18:3 divided by 3 on both sides equals 6:1, also 6:1 times 3 on both sides equals 18:3.

Which set of ordered pairs represents a function?
O{(-1,-6), (-1, -2), (5, -1), (7,-2)}
O {(5,-9), (-2, -7), (5,4), (3,7)}
O {(4,-4), (-4,-4), (-7, -2), (-6,6)}
{(-4, 7), (-4, - 7), (-3,6), (-6, -6)}

Answers

Answer:

Third 1

Step-by-step explanation:

A function can not have repeating x-values, but CAN have repeating Y-VALUES.

(x,y)

Example : (-4,6) & (-4,2) - There is a repeating x-value, -4.

Use the graph to write a linear function that relates y to x.

The linear function is y=?


Answers

Answer:

identify the value that is intercepting y-axis !!

Step-by-step explanation:

in this case it is 1


Classify the following polynomials by the number of terms and degrees
-2x^3 +5x

Answers

Answer:

A third degree binomial

Step-by-step explanation:

The highest power is 3 hence the 3rd degree

and there are 2 terms hence the bi-nomial

a truck just left the weigh station on interstate 40. it weighted 6 tons 500 pounds and had a load of 1,200 pounds. How much would the transfer truck alone weigh?

Answers

Answer:

The weight limit on the bridge is75,500 pounds. ... In pounds, how much cargo can the truck carry and still be ... Helllppp pleaseeee A rancher has a three sided plot of ..

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