What are the two conditionals that form the statement below? Two numbers are reciprocals if and only if the product is one

Answers

Answer 1
The two conditional are:
1. Two numbers are reciprocals, if their product is one.
2. Two numbers are reciprocals only if their product is one.

But that #2 is another way to say
2. If two numbers are reciprocals, then their product is one.

This is how “if and only if” statements work, that knowing one side of the statement is true guarantees you know the other side is too and it has to work both ways.

Related Questions

Find the perimeter. Simplify your answer.
W+1
w+1
W+1
W+1

Answers

w + 1 + w + 1 + w + 1 + w + 1 =

= w + w + w + w + 1 + 1 + 1 + 1 = 4w + 4 ← the end

Find the greatest commonFoctor for these
numbers 18, 42, 96​

Answers

Answer:

The greatest common factor for 18,42 and 96 is 6.

Step-by-step explanation:

6 X 3 = 18

6 X 7 = 42

6 X 16 = 96  

making 6 your largest common factor.

Help please. Domain ASAP

Answers

Answer:

x ≥ -1

Step-by-step explanation:

The domain is all the possible x-values of the function.

Reading from left to right, the first x-value is x = -1 (which is included because the dot is filled in.) From there, the graph goes to the right, towards infinity.

So x is greater than or equal to -1.

x ≥ -1

find the cube root of 5832​

Answers

Answer:

18

hope it helps

Please Help I really need this to not get behind in my math class.

I would award more points but I fear people are just gonna answer with no actual answer and just for points….

Answers

Answer:

1. 12x+19

2.11x+16

3.54

4.3x+5x+8

Step-by-step explanation:

I first wrote the question and grouped like terms.So after grouping these you will get x+2x+8x +x +7 + 2+10 .When you simplify you wil get 12x+19 . If you don't understand comment me

find the complement of the B in universe U. U is the set of natural numbers less than or equal to 8. B is the set of even factors of 8.

Answers

Answer:

{1,3,5,6,7,8}

Step-by-step explanation:

U={1,2,3,4,5,6,7,8}

B={2,4}

B is even factors so you won't start with one

The complement of set B will be {1, 3, 5, 6, 7}

A set is an arrangement or collection of numbers. Given the universal sets:

Natural numbers are positive integers starting from 1. Hence the universal set will be:

U = {1, 2, 3, 4, 5, 6, 7, 8}

Factors of 8 are 1, 2, 4 and 8

Set of even factors of 8 will be 2, 4 and 8

B = {2, 4, 8}

Compliment of a set B are sets that are in the universal set but not in set B. Hence the complement of B will be {1, 3, 5, 6, 7}

Learn more here: https://brainly.com/question/18203375

I AM SO CONFUSED HELP PLS​

Answers

Answer:

x goes up 1 and f(x) is subtracting 3

35n^2+371n+882. Factor

Answers

Answer:

7(x+7)(5x+18)

Step-by-step explanation:

Answer:

factors are (5n + 8)(n + 7)

Step-by-step explanation:

[tex] {35n}^{2} + 371n + 882 \\{ \sf{sum = \frac{371}{35} \: and \: product = \frac{882}{35} }} \\ factors= (5n + 8)(n + 7)[/tex]

The area of triangle ABC is
square units.

Answers

Answer: Area = 17.5 unit²

Concept:

Here, we need to know how to calculate the area of a triangle.

Area (triangle) = b · h · (1/2)

b = base

h = height

Solve:

Given information (By counting grids on the graph)

b (AB) = 7

h (BC) = 5

Given expression

Area = b · h · (1/2)

Substitute values into the expression

Area = (7) · (5) · (1/2)

Simplify by multiplication

Area = (35) · (1/2)

Area = [tex]\boxed{17.5}[/tex]

Hope this helps!! :)

Please let me know if you have any quesitons

3a + 2b = 17, b = 4a - 30

Answers

Hope it helps !!!!!!

Which describes the process that could be used as the first step in solving this equation? 6x = 4 + 5(x + 8) A) Combine like terms by adding 4 + 5. B) Use distributive property to multiply 5(x + 8). C) Use division property of equality to divide both sides of the equation by 6. D) Use subtraction property of equality to subtract 6x from both sides of the equation.

Answers

Answer: B) Use distributive property to multiply 5(x + 8).

Step-by-step explanation:

trust me its right

The first step in solving this equation 6x = 4 + 5(x + 8) is,

⇒ Use distributive property to multiply 5(x + 8).

Option B is true.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 6x = 4 + 5(x + 8)

Now, We can solve the expression as;

⇒ 6x = 4 + 5(x + 8)

⇒ 6x = 4 + 5x + 40

⇒ 6x - 5x = 44

⇒ x = 44

Thus, The first step in solving this equation is,

⇒ Use distributive property to multiply 5(x + 8).

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Find the perimeter in units of a polygon with the given vertices (4,-3),(7,10)(-8,2)

Answers

Answer:

take the length of each side, and multiply it by the number of sides I'm not sure why you have coordinates

Step-by-step explanation:

how do you find x the problem is 9x = -22

Answers

Answer:

x = -22/9 or, x = -2.44 in decimal form

Step-by-step explanation:

9x = -22

/9      /9      (divide both sides by 9)

-------------

x = -22/9     (when converted to decimal form, you get x = -2.44)

log(12), round to the nearest thousandths?​

Answers

Answer:

1.079.

Step-by-step explanation:

Use ur calculator.

What is the sum of a rational number but a product of an irrational one.

Answers

I'm going to only focus on part B

If 'a' and 'b' are rational numbers, then

a = p/qb = r/s

where p,q,r,s are integers. Also, q and s are nonzero. In fact, this context would make sense to also have p and r to be nonzero as well.

The perimeter of this rectangle is

P = 2*(length+width)

P = 2*(a+b)

P = 2*(p/q + r/s)

P = 2*(ps/qs + qr/qs)

P = 2*( (ps+qr)/qs )

P = (2ps+2qr)/qs

P = integer/integer = some rational number

We see that the perimeter P is rational if and only if 'a' and 'b' are rational.

From this, notice that the area is

area = length*width = a*b = (p/q)*(r/s) = (pr)/(qs)

Showing that the area is also rational.

If we wanted the area to be irrational, then we'd have to have either 'a' and/or 'b' irrational; this would then make the perimeter irrational as well. This contradiction is sufficient to show that case B is not possible.

There is no way to have a rational perimeter but an irrational area.

Please help I’ll mark brainlist

Answers

Answer:

⚪ 4: three right triangles and one acute-angled triangle.

Step-by-step explanation:

[tex].[/tex]

Answer: 3 right triangles and one acute triangle

What statement is true about these two triangles?

Answers

Answer:

Step-by-step explanation:

c

1458 smallest whole number by which it should be multiplied so as to get a perfect square number.also find the square root of the square number obtained

Answers

9514 1404 393

Answer:

254

Step-by-step explanation:

The prime factorization of 1458 is ...

  1458 = 2·3^6

The exponent of 3 is even, but we need another factor of 2 to make the exponent of that factor even. You will get a perfect square by multiplying by 2.

  √(2·1458) = √2916 = 54

Multiplying by 2 will give the square of 54.

1) (3x-5)^2
2) (3xy-1/3)^2

Answers

1)

=(3x)² - 2 × 3x × 5+5²

=3²x²2 × 3x × 5+5²

=9x² -2 × 3x × 5 + 5²

=9x² -2 x 3x x 5 + 25

=9x²30x + 25

What is Slope=2, y-intercept =5

Answers

y = 2x + 5

x= -3 , y= -11x= -2 , y= -9x= -1 ,  y= -7x=  0 , y= 5x=  1 ,  y= 7x=  2 , y= 9x=  3 , y= 13

In the following statement, change the percent to a reduced fraction. Then diagram the statement and answer the questions.
Twenty-five percent of three dozen plants are blooming.
a. What fraction of the total number of plants are not blooming?
b. How many plants are not blooming?

Answers

Answer:

a. 3/4  b. 27

Step-by-step explanation:

We know 25% percent are blooming, since 100-25 = 75, 75% aren't blooming.

Since 1 / 4 = 0.25, 3/4 = 0.75, so for question a. 3/4 of the plants aren't blooming.

For question b, we know there are three dozen plants, which is 3 * 12 = 36 plants.

75% of 36 = 36 * 0.75 = 27 plants aren't blooming.

Expand and simplify 5)3x+2)-2(4x-1)

Answers

Answer:

It is 7x + 12

Step-by-step explanation:

[tex]5(3x + 2) - 2(4x - 1)[/tex]

open brackets:

[tex] = 15x + 10 - 8x + 2[/tex]

group like terms together:

[tex] = (15x - 8x) + (10 + 2)[/tex]

factorise out x :

[tex] = x(15 - 8) + 12 \\ = 7x + 12[/tex]

Which graph shows the function f(x) = x with an input of f(x – 3)?

Answers

Can’t answer if you don’t have a graph picture, but put it into your graphing calculator and you should get the answer

A person sent 213 copies of a junk mail via email. Each email consisted of 2 bytes of data. How many bytes of data were sent altogether? Express the answer in exponential notation.​

Answers

Step-by-step explanation:

a person sent 213 copies of junk via email

each email consisted of 2 bytes

then 213×2=426

Solve the following complex equation

18+22i=3x-2yi

Answers

Answer:

[tex]this \: a \: complex \: equation \: so \: compare \\ \: real \: term \: and \: imaginary \: term \\ so \\ 18 = 3x \: \: and \: 22i = - 2yi \\ x = \frac{18}{3} \: \: \: \: and \: y = \frac{22i}{ - 2i} \\ x = 6 \: \: \: y = - 11 \\ then \: 6 \times 3 - - 2 \times 11i \\ = 18 + 22i \\ thank \: you[/tex]

The equation of a line in the point-slope form is show below. 4 – 9 = (x – 2) What is the slope of this line?​

Answers

Answer:

undefined

Step-by-step explanation:

4 - 9 = x - 2

-5 = x - 2

-3 = x

this is a vertical line (parallel to the y-axis) at x = -3.

that means the slope of this line is "undefined". or some would call it "infinite".

as the slope is the ratio of y/x describing how many units y changes, when x changes a certain amount of units.

now the change of x for this line is constant 0.

so, we have a slope y/0, which is undefined.

What is the solution to this system of equations using the linear combination method?

Please help!!

Answers

Answer:

x= -3, y= 13

Step-by-step explanation:

The idea is that x and y in both equations are the same numbers and that the equations are like rules that need to be followed both in the same time.

We take the y from one equation and use it in the other equation because is the same y .

3x+y =4 , subtract 3x from both sides

y=  -3x+4

2x+y =7 , substitute y with the y = -3x+4 from the first equation

2x -3x+4 = 7, subtract 4 from both sides

2x-3x = 7-4, combine like terms

-x = 3  so x = -3

We know that x= -3 so we can substitute it in y= -3x+4 to find y

y=  -3x+4

y= -3 (-3) +4

y= 9+4 = 13

y= 13

The first person to answer this correctly gets Branilist!

Answers

Step-by-step explanation:

1)8x-2x=35-17

6x=18

x=18/6

x=3

2)7k-2k=-37-8

5k=-45

k=-45/5

k=-9

3)m-9m=-13-3

-8m=-16

8m=16

m=16/8

m=2

4)-4y+3y=12-6

-y=6

y=-6

5)6a-2a=-40

4a=-40

a=-40/4

a=-10

6)5w+2w=55+29

7w=84

w=84/7

w=12

7)5p-13p=-43+11

-8p=-32

8p=32

p=32/8

p=4

8)-c-5c=-2+50

-6c=48

c=-48/6

c=-8

Hi guy.

8x+17= 2x+35
-2x + 8x = -17 + 35
6x = 18
x = *3*


7k+8 = 2k-37
-2k + 7k = -8+-37
5k = -45
K = *-9*


m+3 = 9m-13
-9m + m = 13+3
-8m = 16
m = *-2*

-4y+6 = -3y+12
-4y + 3y = -6 + 12
-y = 6
y = *-6*

6a+40 = 2a
-2a + 6a = 40
4a = 40
a = *10*

5w-29 = 55-2w
2w + 5w = 29 + 55
7w = 84
w = *12*

5p-11 = 13p-43
-13p +5p = 11+43
-8p = 56
p= -7*

-50-c = 5c-2
+c + 5c = 2+-50
6c= -48

C = -8


I hope I can help. By the way I'm from turkey ❤️

A particular brand of milk is sold in 1L and 2L bottles. If the shop owner orders 120L of milk and receives 97 bottles in total, calculate how many of each size the shop owner receives.

Answers

Answer:

74 1L bottles and 23 2L bottles

Step-by-step explanation:

We can use algebra to figure out the answer

let the 1L bottles be called m and the 2L bottles be called n

We know that:

(1) m+n = 97

and

(2) m+2n(2L bottles) = 120L

(2) - (1)

m+2n-m-n = 120-97

n = 23

and so

m = 74

Therefore, The shop owner receives 74 1L bottles and 23 2L bottles

please answer this correctly dont answer it wrong please:):):):)

Answers

Answer:

the difference is £0.3 because I have calculated 25% of £1.20 and got£0.3 meaning the Doughnuts at the second shop costs £1.5 which is the sum of 25% of £1.2 and £1.2 and the difference between£1.5 and £1.2 is £0.3

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