Section 3 - Question 22
a represents a rational number, and b represents an irrational number.
Which of the following are TRUE? Select all that apply
A a? will be rational
B.
a + b is always irrational
с
a + b is sometimes rational
D
ab is always irrational
E
ab is sometimes rational

Answers

Answer 1

Answer:

E

Step-by-step explanation:

ab is sometimes rational


Related Questions

Your neighbor leaves his yard, which is 120 ft from the bus stop. He begins to walk toward you at the bus stop and then passes you. He walks at
a speed of 4 ft/s. His distance d from you after t seconds is given by d = 120 - 4t). After how many seconds is your neighbor 30 ft from you?
A.-22.5 s and -37.5 s
B. 22.5 s and 37.5 s
C. 30 s
D. 15 s and 45 s

Answers

Answer:

ANSWER B

Step-by-step explanation:

d=(120-4t)

30=120-4t

4t=120-30=90

t=90/4=22.5 s

-30==120-4t

4t=120+30=150

t=150/4=37.5 s

what is 2+ 1,528
pls help!!!!!!

Answers

Answer:

1530 is the sum of 2+1528

Answer:

1,530

Step-by-step explanation:

What's the reciprocal 22/7

Answers

The reciprocal is 7/22

Answer:

3 1/7 however, the reciprocal is 7/22, or, 7 1/3.

explanation:

Convert improper fraction to mixed number.

7 x 3 = 21

Add 1 to get 22.

Now, convert and reverse the order.

Therefore,

the answer is [tex]3\frac{1}{7} / 7\frac{1}{3}[/tex]

Which table shows a constant rate of change of -3?
y
x
y
y
-8
x y
15 12
3
-2
-22
2
4
-5
O
16
9
o
-1
-12
-21
-1
07
-2
17
7
0
-16
-20
-4
6
1
18
4
1
-20
-19
-7

Answers

The table that shows a constant rate of change of -3 is Table D.

Option D is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The constant rate of change (r):

Take two ordered pairs (a, b) and (c, d)

= (d - b) / (c - a)

Now,

From Table D.

We see that,

r = (-1 - 2) / (-21 + 22) = -3/1 = -3

r = (-4 + 1) / (-20 + 21) = -3/1 = -3

r = (-7 + 4) / (-19 + 20) = -3/1 = -3

Thus,

The table that shows a constant rate of change of -3 is Table D.

Learn more about expressions here:

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#SPJ7

An electrician charges a $100 flat fee, plus $75 per hour to work on a house.

a. Complete the table that shows the cost of hiring the electrician for 3 hours.

Hours, t Cost (dollars)
1
2
3
b. An expression for the cost (in dollars) of hiring the electrician for t hours is
.

c. It costs $
to hire the electrician for 5 hours.

Answers

Answer:

a. 1. 175

2. 250

3. 325

b. 75t + 100

c. 75(5)+100 = $475

Step-by-step explanation:

tHanks again for the response.​

Answers

Answer:

(-3,-2)

Step-by-step explanation:

Equations are

y=2x+4y=-x-5

Solve both

2x+4=-x-53x=-9x=-3

On solving

y=3-5=-2

Graph is also attached if you need another way

Answer:

(-3, -2)

Step-by-step explanation:

When the two lines intersect, f(x) = h(x)

2x + 4 = -1x - 5

Rearranging like terms together

3x = -9

x = -3

Substituting back into h(x) for x = -3

y = h(3) = 2(-3) + 4 = -2

So the point is (-3, -2)

What is the equation of this line?

y=1/2x−3
y=−1/2x−3
y=−2x−3
y=2x−3

Answers

Answer:

y=1/2x-3

Step-by-step explanation:

starting at the origin, you go down 3 to reach the line/point, hence the -3. Then you go up 1 over the right 2 to get reach the point, hence the 1/2.

It would not be negative 1/2 because we didn't go down 1 to the right.

Find the Slope for the line which passes through these two points (-1,5) and (-4,-4).

Answers

Answer: positive 3 is the final answer

Step-by-step explanation:

Answer:

9/3 or just 3

Step-by-step explanation:

First we need to recognize that points are given by numbers that represent the x and y coordinates (or locations) of the point. So in this problem, the first point (-1,5) has an x value of -1 and a y value of 5. Similarly the second point has an x value of -4, and a y value of -4.

Slope is defined as rise over run, or change in y (rise as it goes up or down)  over the change in x (or run as it moves left or right).

Change in x and y can be found by subtracting the first number from the second number.

So to calculate this, set up your equation like this:

[tex]\frac{5-(-4)}{-1-(-4)}[/tex]

After performing the subtraction, you should get:

[tex]\frac{9}{3}[/tex]

This further simplifies to 3.


I'm more sophisticated than my little sister so I save my money in a bank account that pays me
3% interest on the money in the account at the end of each month. (If I take my money out
before the end of the month, I don't earn any interest for the month.) I started the account with
$50 that I got for my birthday. Use a table, a graph, and an equation to create a mathematical
model of the amount of money I will have in the account after m months.

Answers

Answer:

F(m)=50*1.03^m

Step-by-step explanation:

Rewrite each equation without absolute value for the given conditions. y = |x−3| + |x+2| − |x−5| if x>5

Answers

Using the definition of the absolute value function, it is found that the equation is written as: y = x + 4

What is the definition of the absolute value function?

It is the distance of a given point x to the origin(vertex of the function), hence the definition is as follows:

[tex]|x - a| = x - a, x \geq a[/tex]

[tex]|x - a| = -x + a, x < a[/tex]

Hence, considering that all expression are positive for x > 5, we have that:

|x - 3| = x - 3;|x + 2| = x + 2;|x - 5| = x - 5;

Then, the expression is:

y = |x−3| + |x+2| − |x−5|

y =  x - 3 + x + 2 - x + 5

y = x + 4

More can be learned about the absolute value function at https://brainly.com/question/24734454


The table shows how many miles Sally drove, y, in x hours. What is the constant rate of change in the number of miles Sally drove?

Answers

Answer:

(X)73.2miles=the change in the constant rate of miles.

the number of miles times 73.2 equals the constant change of miles.

Please help me with my math

Answers

3 tan (3x)
—————
cos (3x)

Which expression is equivalent to 5(h+9)?
45h
0 14h
5h+9
5h+45

Answers

Step-by-step explanation:

5(h + 9) = 5×h + 5×9 = 5h + 45

Answer: 5h+9!

Step-by-step explanation: hope this helps!! -marina mae :)

Mrs. Kwan will teach 8 workshops next week. Each workshop is 2 hours long. Mrs. Kwan tries to tell a joke ever 1/3. How many times will she tell a joke by the end of the last workshop?

Answers

Assuming you meant every 1/3 hour, she will tell 48 jokes

1/3 hr = 20 mins

16 hrs = 960 mins

960/20= 48 jokes

You could also take 16 hrs and the 3 from 1/3, 16*3=48

Much faster method i forgot until just now..

A cabin on a ferris wheel has traveled one fourth of the circumference
of the wheel, a distance of 117.75 feet. What is the radius, in feet, of
the ferris wheel? Use 3.14 for pi

Answers

Solving for the circumference and using the formula for the circumference we got the radius as 74.95 feet

Mensuration of Flat Shapes

Given Data

1/4 of the circumference = 117.75 feet.

Let the circumference be x feet

1/4*x = 117.75

x/4 = 117.75

cross multiplying

x = 4*117.75

x = 471 feets

The expression for the circumference is given as

C = 2πr

471 = 2πr

Making r subject of formula we have

r =  = 471/2*3.142

r = 471/6.284

r = 74.95 feet

Learn more about Circles here

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Aling Luz bought yards of linen cloth which cost Php 72.00 per
yard, She gave Php 1 000,00 to the cashier. How much change will she
8

Answers

Answer:

Php 973.00

Step-by-step explanation:

Aling Luz bought 3/8 yards of linen cloth which cost Php 72.00 per yard.She gave Php 1000.00 to the cashier.How much change will she?

Number of yards bought = 3/8

Cost of a yard = Phone 72.00

Cost of number of yards bought = Number of yards bought × Cost of a yard

= 3/8 × Php 72.00

= Php 27.00

She gave Php 1000.00 to the cashier.

How much change will she?

= Amount given to the cashier - cost of yards bought

= Php 1000.00 - Php 27.00

= Php 973.00

Explain how the shapes shown have been sorted. Two groups of shapes. In group A, one shape has four equal side lengths of three, and no right angles. The opposite sides are parallel. Two shapes have two pairs of opposite equal side lengths. One shape has side lengths of four and eight. The other side lengths are three and two. Opposite sides are parallel, and there are no right angles. In group B there are three four sided shapes. One has opposite equal side lengths of seven and four and four right angles. One shape has four equal side lengths of three and four right angles. One shape has one set of opposite parallel sides and one right angle. None of the side lengths in the last shape are equal.

Answers

There are different kinds of shapes. The shapes have been sorted below:

The shape that has  one shape has four equal side lengths of three, and no right angles is rhombus.The opposite sides are parallel is parallelogram .Two shapes have two pairs of opposite equal side lengths is a parallelogram.A shape that has side lengths of four and eight is  quadrilateral  and octagon.Opposite sides are parallel, and there are no right angles is a parallelogramHeptagon has  opposite equal side lengths of seven Quadrilaterals and  triangle shape has shape has four equal side lengths of three and four right angles.Trapezoids has one set of opposite parallel sides and the shape that has one right angle is right-angled triangles.None of the side lengths in the last shape are equal is scalene triangle.

What do you understand by the term shapes?

The term shape is a word that connote the form or dimensions  of an object and also their outline.

It is made up of outer boundary and also outer surface. Most of everything in the world today do have shape.

Learn  more about Angles from

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Answer:

rectangle

Step-by-step explanation:

trust

7th grade math help me please :).

Answers

Answer:

a

Step-by-step explanation:

divide each price by the number of juice packs they got, then subtract the smaller number from the larger one. you get 0.15

A student says the first step of the proof is "Reflect △ABC in AB←→ to create △ABC′." Which of the following statements logically comes next?

Answers

Reflecting the triangle ABC implies that the new position would be a mirror of the previous position

The statement that logically comes next is (c) Translate triangle ABC, so that point A maps to point W

How to determine the next step

After reflecting the triangle ABC, the next step is to map point A to point W on the coordinate plane.

This is done by translating the triangle ABC i.e. by shifting or moving the triangle ABC so that points A and W would be on the same point

Hence, the statement that logically comes next is (c)

Read more about transformation at:

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One basketball team played 30 games throughout their entire season. If this team won 80% of those games, how many games did they win? Enter a numerical answer only.

Answers

the team won 24 games out of 30

numbers that has 10 as a factor

Answers

Answer:

1, 2, 5 & 10

Step-by-step explanation:

In a classroom libray Mrs. Sterling has 16 mystery books, 4 fantasy, 4 biographies, 4 poetry books, 2 comic books, and 2 cookbooks. A book is selected from the classroom library at random. What is the probability that the book is a mystery book?

Answers

Such probability is calculated by dividing the number of mystery books by a total number of books:

    --> [tex]\frac{16}{32} = \frac{1}{2}[/tex]

Thus the probability that the book is a mystery book is 1/2.

Hope it helps!

Help please!
Area of a triangle using trigonometry!

Answers

Answer: 120

Step-by-step explanation: u just multiply the 2 numbers together

What is 0.07 divided by 10.4 in long division

Answers

Answer:

0.0067307692307692

Step-by-step explanation:

WHICH DOT PLOT BEST REPRESENT THESE DATA?​

Answers

C. You basically need to see how many times that number appears for example 78 shows up 2 times so you see what table has two dots above 78
Dot plot represent these data better is a C

At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 100 miles per hourâ (mph) and the standard deviation of the serve speeds was 13 mph. If nothing is known about the shape of theâ distribution, give an interval that will contain the speeds of at least eight-ninths of theâ player's serves.

a. 74 mph to 126 mph
b. 61 mph to 139 mph
c. 48 mph to 152 mph
d. 139 mph to 178 mph

Answers

Answer:

b. 61 mph to 139 mph

Step-by-step explanation:

Chebyshev's theorem states that

For k> 1

1 - 1/k²

Where:

At least 75% or 3/4 of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

At least 88.89% of 8/9 of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

From the question, we are told to find an interval that will contain the speeds of at least eight-ninths of the player's serves.

Mean (μ)= 100mph

Standard deviation (σ) = 13mph

At least 88.89% of 8/9 of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

Hence:

μ - 3σ

100 - 3(13)

= 100 - 39

= 61 mph

μ + 3σ

= 100 + 3(13)

= 100 + 39

= 139 mph

Therefore, the interval is between 61 mph to 139 mph. Option b is correct

-
Consider f(x) = 7x3 - 15x2 - 19x +3. Find the solutions of each of the following equations!
(a) f(x) = 0
(b) f(x-1)= 0
(c) f(x + 2) = 0
(d) f(2x)= 0

Answers

I think it might be A

Which symbol can be used to correctly compare the two fractionsPlease help asap!!!

Use >, <, or =.

2/5 35/100

Answers

Answer:

The symbol we can be used is " > "

Step-by-step explanation:

To compare two fractions you must make their denominator equal

Example:

To compare the fractions [tex]\frac{3}{4}[/tex] and [tex]\frac{7}{50}[/tex] ,

You should make their denominators equal. Multiply 4 by 25 to get 100 and multiply 50 by 2 to get 100, So, [tex]\frac{3*25}{4*25}=\frac{75}{100}[/tex]  and  [tex]\frac{7*2}{50*2}=\frac{14}{100}[/tex]. Since 75 > 14, then [tex]\frac{75}{100}>\frac{14}{100}[/tex] ,Which means [tex]\frac{3}{4}>\frac{7}{50}[/tex]

Let us solve the question

∵ The fractions are [tex]\frac{2}{5}[/tex] and [tex]\frac{35}{100}[/tex]

→ Change denominator 5 to 100 by multiplying it by 20

∵ [tex]\frac{2}{5} =\frac{2*20}{5*20}=\frac{40}{100}[/tex]

∵ 40 > 35

∴ [tex]\frac{40}{100}>\frac{35}{100}[/tex]

∴ [tex]\frac{2}{5}>\frac{35}{100}[/tex]

The symbol we can be used is " > "

3x+21 6x-60 write an equation to solve for x you're only writing the equation for this problem. see what i mean and yes 27 is right for the next ty so much​

Answers

Step-by-step explanation:

3x+21 6x-60

=3x+6x 21-60

=18x 81

d.b.s by 18

18/18×81/18

0/1×4.7/1

x=4.7

I thinkthat the answer

What is the congruence correspondence

Answers

Specifically, the vertices of each triangle must have a one-to-one correspondence. This phrase means that the measure of each side and angle of each triangle corresponds to a side or angle of the other triangle.
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