If Y has exactly 2 positive integer factors then Y is a prime number. if so how?

Answers

Answer 1

Step-by-step explanation:

yes, if your teacher meant to include the default factors of every positive integer number : 1 and the number itself.

these are the 2 positive integer factors.

if a positive number can only be divided without remainder by 1 or by itself (with result 1), then it is per definition a prime number.

if the number can be divided without remainder by another number, then we are not dealing with a prime number.

but if your teacher did not have these default factors in mind, then no :

example : 15

15 has only 2 factors : 3 and 5.

both are positive integer numbers.

and yet 15 is not a prime number.

but back to my first point, 15 also has formally the factors 1 and 15. so, if we count them too, then we have suddenly 4 factors. and the original statement fits again.


Related Questions

Solve the inequality -3/4(12x+16)<9-5x.

Answers

Answer:

x > -21/4

Step-by-step explanation:

Answer:

x > -24/4

Step-by-step explanation:

-3/4 (12x + 16) < 9 - 5x

-3/4 * 12x - 3/4 * 16 < 9-5x

-9x - 3/4 * 16 < 9 - 5x

-9x - 12 < 9 - 5x

-4x - 12 < 9

-4x < 21

Simplify the expression using trigonometric identities: sec (–θ) – cos θ.

Answers

Answer:

sin θ . tan θ

Step-by-step explanation:

Note : -

sec ( - θ ) = sec θ

Formula / Identity : -

sec θ = 1 / cos θ

sec ( - θ ) - cos θ

= [ 1 / cos θ ] - cos θ

{ LCM = cos θ }

= [ 1 / cos θ ] - [ cos²θ / cos θ ]

= [ 1 - cos²θ ] / cos θ

{ 1 - cos²θ = sin²θ }

= sin²θ / cos θ

{ sin²θ = sin θ . sin θ }

= sin θ . sin θ / cos θ

{ sin θ / cos θ = tan θ }

= sin θ . tan θ

Hence, simplified.

Solve for x, please help, thank you

Answers

Answer:x=6

Step-by-step explanation:

x+5x=36

Step 1: Simplify both sides of the equation.

x+5x=36

(x+5x)=36(Combine Like Terms)

6x=36

6x=36

Step 2: Divide both sides by 6.

[tex]\frac{6x}{6} =\frac{36}{6}[/tex]

x=6

Answer:

x=6

perform the operation and simplify

Answers

Answer:

[tex] \frac{x + 4}{3x(x + 1)} \\ [/tex]

Step-by-step explanation:

[tex] \frac{ {x}^{2} + 10x + 24 }{3 {x}^{2} + 3x} \div (x + 6) \\ \frac{ {x}^{2} + 4x + 6x + 24}{ 3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{x( x+ 4) + 6(x + 4)}{3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{(x + 4)(x + 6)}{3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{(x + 4)}{3x(x + 1)} \\ [/tex]

Answer: the finished equation is (x+4)/3x*(x+1), so fill in one in the green square

Step-by-step explanation: it worked for me, the explanation is very long, but I would recommend using tiger algebra for a very detailed step by-step explanation, hope I could be a help

What’s the solution to 2x - 2 > 2x + 4 ?

Answers

Answer:

This inequality isn't correct.

Step-by-step explanation:

2x - 2 > 2x + 4

Substituting any value for x, the result will be incorrect.

Actually,

2x - 2 < 2x + 4 is correct.

2x - 2x < 4 + 2

0 < 6

f(3) if f(x) = 2x+2 helpppppppppppppppppp

Answers

Answer:

= 8

Step-by-step explanation:

2x = 2 × 3 is 6 because f(3) then + 2 is 8

3 x 2 = 6

6 + 2 = 8

The correct answer is 8

(Hope this helps can I pls have brainlist (crown)☺️)

Please help!!!

A. (-4,2)

B. (-4,-2)

C. (2,-4)

D. (2,4)

Answers

Answer:

A

Step-by-step explanation:

Have a nice day

the answer is A :) hope it helps!

help please ill give the person who answeres honstly a biranly and 25 points ofc ofc

Answers

Answer:

Alright I’ll go in order

Well first things first I’m gonna make the numbers in order first to make life easier

22, 36, 39, 39, 40, 40, 41, 42, 45, 46, 46, 49

#1: Is asking for the median of the data

The median is basically the center of the data in order

In this case the middle number here is 40 and 41, we jsut find the average between those 2 to find it. 40+41= 81 81/2= 40.5

Median :40.5

#2: Is asking for the mode

The mode is the number that comes up or repeats the most.

in this case it’s 39, 40, and 46

Mode: 39, 40, 46

#3: Is asking for the mean

The mean is basically the average, you add up all the given numbers and divide it by the amount of numbers there are. In this case it goes something like

22+36+39+39+40+40+41+42+45+46+46+49

you would get 446

Now theres 12 numbered so we divide that by 12

446/12 you’d get 37 1/6 as ther average or 37.166666666666…

#4: Is asking for the range

You just find the difference ebetween the greatest number and llowest number. In this case it’s 49-22 so you got 27

Range: 27

I think you can figur the rest out on your own!

Please help!!

Choose the definition for the function.

Answers

9514 1404 393

Answer:

  A. {2x, x<1; (x+5)/2, x≥1}

Step-by-step explanation:

The left side of the graph (x<1) has positive slope and a y-intercept of 0. Only one answer choice matches: choice A.


Fireman Bob leans a 40 foot ladder against a building at an angle of elevation of 70'. How far is the base of the ladder from the building (round your
answer to the nearest thousandth)?
Distance from base of the building

Answers

Answer:

Step-by-step explanation:

40cos70 = 13.68080573... 13.681 ft.

In this problem, I did part a) correctly, but I got 7 points off in part b) but I don’t know why?

Answers

Answer: You need to prove that ABCD is a rhombus because it's diagonals are always perpendicular, no matter what.

A rhombus is a quadrilateral and:

- its opposite angles have equal measure.

- The two diagonals of a rhombus are perpendicular; that is, a rhombus is an orthodiagonal quadrilateral.

- Its diagonals bisect opposite angles.

the length of a rectangle is 4 less than 3 times its width.if its width is 5 cm what will be its perimeter​

Answers

Answer:

32cm

Step-by-step explanation:

Answer:

Given that: The length of a rectangle is 4 less than 3 times its width. The perimeter of a rectangle is 32 cm.

help plz we this work

Answers

Since it’s of 100, it’s how many squares are shaded in: 35
So it would be 35/100 or 35%
ANSWER: 35%

Consider the graph of the of the quadratic function g(x). See below

Answers

Answer:

I believe the correct answers would be...

32.) B

33.) C

Step-by-step explanation:

32.)

Since the function is shifted downward 1 unit from the x-axis, "q" would be -1

33.)

If the function is shifted upward 4 units, the "+4" would be on the outside of the parentheses.

8m – 5 for m = 9 answer please

Answers

Answer:

= 67

Step-by-step explanation:

8m – 5 for m = 9

~Substitute

8(9) - 5

~Simplify

72 - 5

~Subtract

67

Best of Luck!

The answer is 67 I believe sorry if I’m wrong

help me out guys !!!?​

Answers

Answer:

4

Step-by-step explanation:

yeah-ya............. right?

Answer:

16

Step-by-step explanation:

because :-

f(x) =[x+6] x=-10

=[-10+6]

=10+6

16

i'll mark brainliest, thanks in advance!​

Answers

Answer:

not enough information.

Step-by-step explanation:

We know one side and the vertical angle.  We do not have enough information to determine if the triangles are congruent.


Put the numbers from least to greatest
3.55
3.544
3.554

Answers

Answer:

3.544 < 3.55 < 3.554

Step-by-step explanation:

Answer:

3.554 3.55 3.544

Step-by-step explanation:

i hope this answer helps you <3

Victor drives a distance of 21.45 miles everyday from home to his office. He moves into a new apartment that is just 3.65 miles away from his office. Determine the distance by which Victor has lessened his drive to the office.

Answers

Answer:

17.8 miles

Step-by-step explanation:

His old house was 21.45 miles from the office. He moves to a new apartment which is just 3.65 miles from the office.

Since it asks for the distance he reduced to the office, we would do

21.45 - 3.65 = 17.8 miles

the current population of earth is estimated to be about 7,440,000,000. express number in scientific notation

Answers

Answer:

7.44x10^9

Step-by-step explanation:

7.44 × 10⁹

hope this helps

thanks i'll mark brainliest ​

Answers

Answer:

1.

Step-by-step explanation:

A farmer wants to increase the area of His rectangular pen but keep the pen a rectangular shape. He decides to a 5.7 yards of fencing
to the width of the pen but the length will remain 9.5 yards. The new area will be 77.9 square yards.
Which can be used to determine the original width of the pen?
5.7 (W+9.5) = 77.9
S95219
9.5 (W + 5.7) = 77.9

Answers

Using the equation for the area of a rectangle, the original width of the pen is determined by:

9.5 (W + 5.7) = 77.9

The area of a rectangle of length l and width w is given by:

[tex]A = lw[/tex]

In this problem:

Increases the width by 5.7 yards, hence [tex]w = w + 5.7[/tex], in which w is the original width.The length remains at 9.5 yards, hence [tex]l = 9.5[/tex].The area is of 77.9 square yards, hence [tex]A = 77.9[/tex]

Then:

[tex]A = lw[/tex]

[tex]9.5(w + 5.7) = 77.9[/tex]

For a similar problem, also involving the area of a rectangle, you can check https://brainly.com/question/10489198

A) y = 5x

B) y = 10x

C) y = 7.5x

D) y = 30x​

Answers

Y=30x is the answer to this

a college student is saving money to buy a laptop. the student has $85 saved and saves $35 each week. The function a(t)=35t + 85 represents the amount of money the college student has saved for the laptop after t weeks. The student receives $50 as a birthday gift .
If the function f(t) = a(t) +50 represents the total amount the student has saved , which best describes the transformation from a(t) to f(t)?

Answers

Answer:

B a vertical translation 50units right

A local animal shelter has many cats and dogs. The shaded part represents the percent of animals that are dogs. If there are 82 dogs, how many animals are there in total?

Answers

Answer:

weel if you divide 82 by 2 then it you will get the number of cats which is 41 then add 82 + 41 =123

Step-by-step explanation:

mark me brainliest

Simplify.

510√




2√

2√2

10√2

5√

Answers

Answer:if you know how to do this your smart and in two years if someone can Answer ill give you a mil in cash swear

Step-by-step explanation:

Answer:

√10/2

Step-by-step explanation:

I took le test

what is the ratio of 5:2

Answers

Answer:

5/2

Step-by-step explanation:

Please take a look at the picture

Answers

Answer:

D) The number that is 5 to the right of -6 on the number line

Hope this helps :)

Find the following limit without using a graphing calculator or making a table.

Answers

Answer:

Step-by-step explanation:

Which situation involves permutations? A. choosing 5 people out of 15 to participate in a survey B. choosing 3 flavors of ice cream out of 15 for an ice-cream sundae C. choosing a dozen flowers out of 30 to create a bouquet D. choosing first second-, and third-place winners in a cooking contest​

Answers

9514 1404 393

Answer:

  D. choosing first second-, and third-place winners in a cooking contest​

Step-by-step explanation:

Permutations are involved when order matters. The order of people surveyed, sundae flavors, and flowers are irrelevant. The order of first-second-third is entirely relevant.

Cooking contest winners involve permutations.

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