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

Definition: This is a number whose value we are trying to figure out. It is often represented by a letter or
some other symbol.

Answers

Answer:

deed

Step-by-step explanation:

A puddle originally contained 7.5 gallons of water. After a hot day, only 6 gallons of water remain. What is the percent decrease? Enter your answer in the box.

Answers

Answer:

20 percent

Step-by-step explanation:

7.5 gallons - 6 gallons = 1.5 gallons

[tex]\frac{1.5}{7.5}[/tex] × 100 = 0.2 × 100 = 20 %

Answer:

20%

Step-by-step explanation:

First, find how much decrease there was: 7.5 - 6 = 1.5

This means the decrease was 1.5/7.5. To convert this to percentage, divide 1.5 by 7.5:

1.5 ÷ 7.5 = 0.20

0.20 = 20% decrease

238% of what number is 47,600?

Answers

Answer:

I think 200

Step-by-step explanation:

47600/238=200

200*238=47600

Answer:

the answer is actually 20000

Step-by-step explanation:

238%             x  =47,600

2.38x=47,600

47,600/2.38= 20000

If two angles of a triangle have measures of 42° and 20°, what is the measure of the third? A. 118° B. 98° C. 108° D. 128°

Answers

Answer: The text also states, “And her friends told her afterwards that she had spoken in a very loud voice, not shouting, just a very loud voice” (p.2). This proves that Celeste took a risk standing up to the teacher in a firm voice; her actions show that she believed the risk of getting in trouble was worth it to stop the Teacher’s unfair punishment.

Step-by-step explanation:

1. If a house cost $200,000 in Las Vegas in 2012 and there was a 20.7% increase in houses from 2012 to 2013, what is the price of the house in 2013.?

Answers

Answer:

$241,400

Step-by-step explanation:

House costs: $200,000

Percentage increase: 20.7%

This means that the cost of the house increased by that percentage from 2012 to 2013. Therefore the following,

200,000 x 20.7/100 = 41,400

So the value of the house increased by $41,400 in this year.

Now we add to evaluate the total price of the house in 2013.

200,000 + 41,400 = 241,400

House price: $241,400

the sales tax rate in new york city is 8.9%. Find the tax charged on a purchase of $208, and the total cost

Answers

Answer:

$18.51 tax

$226.51 total cost

Step-by-step explanation:

208 x 0.089 = 18.51 tax

MAY SOMEONE PLEASE HELP ITS URGENT!!

Answers

Answer:

both are 79

Step-by-step explanation:

Please help me with this, I have to turn it in today and I’ll give Brainly. please only answer if you know the answer...this is very important

Answers

The arcs on the Golden Gate Bridge.

I think about the Golden Gate Bridge, which is a suspension bridge.

As in any suspension bridge, a long cable is supported by two large supports.

The cable falls from support, in the form of a curve concave upwards, to a minimum point that is the vertex of the parabola, through which the axis of symmetry passes, and curves again upwards to ascend to the upper end of the other support.

As a unique feature of this parabolic arc, you can tell that the concavity is upward; the parabola opens upward.

Also, you can tell that the parabola is vertical, which means that the axis of symmetry is vertical.

The symmetry is clear because the curve to the left of the vertex is a mirror image of the curve to the right of the vertex. Hope I helped, have a good day!

I WILL MARK BRAINLIEST


Linh has red, white, and black shirts. She has khaki, black, and white pants. She does not wear the same color shirt and pants together and does not wear white with black. Can she make 8 outfits?

a
Yes
b
No

Answers

Answer:

b) no

Step-by-step explanation:

let's put all these options in columns to visualize:

   shirts:                            pants:

    red                               khaki

    white                            black

    black                            white

now i'll list all the combos without matching colors (shirt, pants)

red, khaki;

red, black;

red, white;

white, khaki;

white, black;

white, white;

black, khaki;

black, black;

black, white;

now, we need to get rid of any combos that consist of the same color and combos that consist of black and white paired together.

and we're left with:

red, khaki;

red, black;

red, white;

white, khaki;

black, khaki;

that's only 5 options, so no, she cannot make 8 outfits

How many 3/4 inch pieces can be cut from a ribbon that is 7 1/2 inches in length?​

Answers

Answer:

10 pieces

Step-by-step explanation:

7 1/2 / 3/4 =

7.5 / .75 =

10 pieces

Hope that helps!


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

PLEASE HELPP!!

So frustrated does evaluate mean to find the value? So confused.

Answers

Answer:

yes it does

a. 27

b. -32

Step-by-step explanation:

a. 3 times 3 times 3 = 27

b. -2 times -2 times -2 times -2 times -2= -32

hope this helps!!

The second one equals -32

How much is 78 divided by 4 ?

Answers

Answer:

19.5 my bro!

Step-by-step explanation:

Answer:

19.5 just put it in the calculator

The midpoint of AB is M (4,-2) . If the coordinates of A are (3,-6) , what are the coordinates of B

Answers

Answer:

The coordinates of B are (5,2).

Step-by-step explanation:

Given that,

The midpoint of AB is M (4,-2).

The coordinates of A are (3,-6)

We need to find the coordinates of B. Let the coordinates of B are (x,y).

The mid point is given by :

[tex]M=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})\\\\(4,-2)=(\dfrac{3+x}{2},\dfrac{y-6}{2})\\\\\dfrac{3+x}{2}=4\ \text{and}\ \dfrac{y-6}{2}=-2\\\\3+x=8\ \text{and}\ y-6=-4\\\\x=5,y=2[/tex]

So, the coordinates of B are (5,2).

Select the correct answer.
Which function has an inverse function?
OA. F(x) = |x-4|+ 1
OB. F(x) = 25x^2+70x+49
OC. F(x) = x^4
OD. F(x) = x+3/7

Answers

Maybe c I’m not completely sure tho

In the given functions, the function f(x) = x+3/7 is a inverse function.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The function should be bijective function ( one-to-one and onto) to be a  inverse function.

f(x)=|x-4|+1

It is absolute function. Not one-to-one function.

Domain: All real (-∞,∞)

Range: [1,∞)

So the function  f(x)=|x-4|+1 is not inverse.

f(x) = 25x²+70x+49

It is quadratic function. Not one-to-one function.

Domain: All real (-∞,∞)

Range: [0,∞)

So the function f(x) = 25x²+70x+49 is not inverse.

f(x) =x⁴

It is polynomial function with even degree. Not one-to-one function.

Domain: All real (-∞,∞)

Range: [0,∞)

F(x) = x+3/7

It is linear function. one-to-one and onto

Domain: All real (-∞,∞)

Range: All real (-∞,∞)

F(x) = x+3/7 is a inverse function.

Hence, in the given functions, the function f(x) = x+3/7 is a inverse function.

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pls help pls pls pls help

Answers

pls help him Step-by-step explanation:

Which of the following linear functions has the greatest rate of change?

Answers

Answer:

A

Step-by-step explanation:

A is the answer because its rate of change is 3 while the rest are smaller than that

When the radius of a sphene is doubled what is the resulting change in volume?

Answers

Answer:

3rd power

Step-by-step explanation:

When the radius of the sphere was doubled it doubled 8 times . it raised so much because of the third power.

Glad I could help (Maybe)

can someone help me on this ??

Answers

For the first one it is 1 whole

By stips please ........

Answers

Answer:

6x + 3h

Step-by-step explanation:

F(X) = 3x^2

F(X+h) = 3(X+h)^2

then F(X+h) - F(X) / h

= 3(X+h)^2 - 3x^2 / h

= 3(x^2 + 2hx + h^2) - 3x^2 / h

= 3x^2 + 6hx +3h^2 - 3x^2 / h

= 6hx + 3h^2 / h

= h (6x +3h) / h

= 6x + 3h

I hope this answer is correct

The number of country A forces in country B decreased to approximately 34,000 in 2014 from a high of about 100,000 in 2008. The amount of country A funding for country B security forces also decreased during this period. The function f (x) = -1.330x + 5.149x +5.517 can be used to estimate the amount of country A funding for country B security forces, in billions of dollars, x years after January 2007. In what year was the amount of country A funding for country B security forces about $ 10.5 billion?

Answers

Answer:

2009

Step-by-step explanation:

The question can be interpreted as:

[tex]f(x) = -1.330x^2 + 5.149x + 5.517[/tex]

Required

Determine x when f(x) = 10.5

Substitute 10.5 for f(x) in [tex]f(x) = -1.330x^2 + 5.149x + 5.517[/tex]

[tex]10.5 = -1.330x^2 + 5.149x + 5.517[/tex]

Collect Like Terms

[tex]-1.330x^2 + 5.149x + 5.517-10.5=0[/tex]

[tex]-1.330x^2 + 5.149x -4.983=0[/tex]

Using quadratic formula

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

Where

[tex]a = -1.330[/tex]

[tex]b = 5.149[/tex]

[tex]c = -4.983[/tex]

[tex]x = \frac{-5.149 \± \sqrt{5.149^2 - 4*-1.330*-4.983}}{2*-1.330}[/tex]

[tex]x = \frac{-5.149 \± \sqrt{0.002641}}{-2.660}[/tex]

[tex]x = \frac{-5.149 \± 0.0514}{-2.660}[/tex]

Split:

[tex]x = \frac{-5.149 + 0.0514}{-2.660}\ or\ x = \frac{-5.149 - 0.0514}{-2.660}[/tex]

[tex]x = \frac{-5.0976}{-2.660}\ or\ x = \frac{-5.2004}{-2.660}[/tex]

[tex]x = 1.92\ or\ x = 1.96[/tex]

Both values of x approximates to 2.

So:

[tex]x = 2[/tex]

2 years after 2007 is 2009.

Hence, the funding is about $10.5 billion in 2009

Calculate the value of x

Answers

Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Step-by-step explanation:

4. What's the least common multiple of each group of numbers?
a. 5 and 6
b. 2 and 9
C. 6 and 8
d. 2,5, and 6

Answers

Answer:

5 and 6: 30

2 and 9: 18

6 and 8: 48

2, 5, and 6: 30

Equation: w = 112 + 8t Which input results in an output of 176? What is the output in the ordered pair (4, 144)?

Answers

9514 1404 393

Answer:

8144

Step-by-step explanation:

Generally, the single variable on the left side of the equation is the "output" or dependent variable, while any other variables on the right side of the equation are considered to be independent variables, or "input."

So, we assume your first question is asking for the value of t that makes w=176. Put the values in the equation and solve for the unknown.

  w = 112 +8t

  176 = 112 + 8t

  64 = 8t . . . . . . . subtract 112

  8 = t . . . . . . . . . divide by 8

The input for an output of 176 is 8.

__

Ordered pairs are always written as ...

  (input, output)

So, (4, 144) means the output is 144 for an input of 4.

Answer:

8

144

Step-by-step explanation:

what is the solution to the equation y=2x+5

Answers

Answer:

x = -5/2

Step-by-step explanation:

y= 0

I dont know but i believe this is it.

Answer:

2x-y=-5

Step-by-step explanation:

y=2x+5

-2x+y=5

-(-2x+y=5)

answer: 2x-y=-5

An electronics retailer is developing a model for insurance on new cell phone purchases. It estimates that 60% of customers never make a claim25% require a small repair costing an average of $50and 15% require a full refund costing $200. What is the average cost the retailer should expect to pay to each customer?

Answers

Answer:

$42.50

Step-by-step explanation:

$42.50 will cover the costs of all people who request full refunds, while still allowing the company to profit.

The average cost the retailer should expect to pay to each customer if It estimates that 60% of customers never make a claim is $4250.

What is average?

The average is a numeric figure that represents a big amount of data in a single way. The average mark of the class is calculated by averaging the students' grades in a given subject.

It is more important to understand how the class as a whole performed than how each individual student performed.

Given:

It estimates that 60% of customers never make a claim, 25% require a small repair costing an average of $50 and 15% require a full refund costing $200,

Calculate the average cost as shown below,

Assume there are 100 customers, then,

The average cost = 25% of 100 × 50 + 15% of 100 × 200

The average cost = 25 × 50 + 15 × 200

The average cost = 1250 + 3000

The average cost = 4250

Thus, the average cost the retailer should expect to pay to each customer is $4250.

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I have to find the domains of these functions and write the answer in interval notation.

Answers

Answer: 2,5

Step-by-step explanation:

In order to find the domain of a function, check the function for two conditions:

a zero in a denominator

a negative under an even root

Exclude the values at which the function satisfies either or both of these conditions from its domain.

G(x) has no root but it does have a denominator. Therefore, check the first condition by setting the denominator equal to zero and excluding those solutions from the domain.

x2 - 7x + 10 = 0

(x - 2)(x - 5) = 0

x = 2, 5


i put jericho but it’s wrong so i’m not sure

Answers

Answer: B) Lake Eyre

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

Explanation:

This is because the value -16 is closest to 0, which represents sea level.

I recommend drawing out a vertical number line. Positive numbers are above 0, to indicate elevations above sea level. Negative numbers represent elevations below sea level.

The diagram is shown below. The diagram is not to scale because the red tickmarks shouldn't be equally spaced out; however, the order is correct, and that's all we need to worry about.

Note how -16 is the highest of the four choices, which makes it the closest to sea level. Also note how as you move further down, the negative values get larger in absolute value. It might be helpful to think of a thermometer.

3
:) A plane has 14 First Class seats, 70 Premium seats and 168 Economy seats
Find the ratio First Class seats : Premium seats : Economy seats.
Give your answer in its simplest form.
2​

Answers

Answer:

70-14=56     168-56=112

Step-by-step explanation:

please help, I'll give the correct answer brainliest.

find c and d. show your work. ​

Answers

9514 1404 393

Answer:

  c = 6√2

  d = 12

Step-by-step explanation:

The sides of any isosceles triangle (opposite the congruent angles) are congruent. Hence c = 6√2.

The hypotenuse of an isosceles right triangle is √2 times the side length, so ...

  d = c√2 = (6√2)(√2) = 6·2

  d = 12

__

If you don't believe that, you can always use the Pythagorean theorem to find d:

  d^2 = (6√2)^2 +c^2

  d^2 = 72 +72 . . . . . . . . . since c=6√2

  d = √144

  d = 12

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