Mathematics High School

test the following statements to see if it’s reversible if so choose the true biconditional

Test The Following Statements To See If Its Reversible If So Choose The True Biconditional

Answers

Answer 1

Answer:

the statement is not reversible

Step-by-step explanation:

Hi there!

We are given the statement "if x=3, then x²=9"

In this case, the hypothesis (p) is x=3, while the conclusion (q) is x²=9

Reversing the statement would make it so that q is first, then p is after.

In other words, if the statement was originally "if p, then q", then the reverse of that statement would be "if q, then p"

This is known as the CONVERSE of the statement. Sometimes, the converse is true, but not always. If both the statement and the converse are true, then it's known as a BICONDITIONAL, where it works both ways

So we'll need to test if the following statement "if x²=9, then x=3" is true

If you subtract 9 from both sides, x²=9 becomes this equation:

x²-9=0

Using the square of differences formula, where x is a and 3 (square root of 9) is b:

(x-3)(x+3)=0

Now using zero product property:

x-3=0

Add 3 to both sides

x=3

AND:

x+3=0

Subtract 3 from both sides

x=-3

We see that the answers from this equation are x=3 and x=-3.

*if you plug 3 and -3 back in the equation, we can see they both work. Remember that x² is equal to x*x, or (x)²:

If x=3:

(3)²=9

(3)(3)=9

9=9

If x=-3:

(-3)²=9

(-3)(-3)=9

9=9

Hence, the statement doesn't work in the converse

The option "the statement is not reversible" is not the answer.

Hope this helps!

Related Questions

Draw a triangle in which an angle, X, is equal to cos^{-1} (4/5)

Answers

Answer:

Work on a grid, like a piece of paper with squares already drown in it, else you need to be really accurate with 90 degrees angles. Draw an horizontal line, count 5 units (cm, inches, squares, whatever you have and draw a piece of a circle (red in my image) that intersect the 4 unit line (green). Join the point you found with the center of the circle to get the angle you want (blue line, the angle is the one marked. Joining ANY point in the first line with any point in the second line will give you the triangle you want. The orange lines are a few possibilities you have.

Is it a bad drawing? Yes. I used paint with a grid made with a spreadsheet, don't expect a masterpiece.

Solve equations with variables on both sides

1/3+5/3r–r=2r

Answers

Answer:

r=1/4

Step-by-step explanation:

Answer:

r = 1/4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

[tex](\frac{5}{3}r - r) + (\frac{1}{3}) = 2r[/tex] [tex]\frac{2}{3}r+\frac{1}{3} = 2r[/tex]

Step 2: Subtract 2r from both sides.

[tex]\frac{2}{3}r +\frac{1}{3} - 2r = 2r - 2r[/tex] [tex]\frac{-4}{3}r+\frac{1}{3}=0[/tex]

Step 3: Subtract 1/3 from both sides.

[tex]-\frac{4}{3}r+\frac{1}{3} -\frac{1}{3} =0-\frac{1}{3}[/tex] [tex]-\frac{4}{3}r=-\frac{1}{3}[/tex]

Step 4: Multiply both sides by -3/4.

[tex]-\frac{4}{3}r*\frac{3}{-4} =\frac{-1}{3} *\frac{3}{-4}[/tex] [tex]r = \frac{1}{4}[/tex]

Therefore, r = 1/4.

Find the number that makes the ratio equivalent to 2:5.

Answers

Answer:

Answer: The fractions equivalent to 2/5 are 4/10, 6/15, 8/20, etc.

PLEASE HELP.
Use the drawing tool(s) to form the correct answer on the provided graph. The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation of f as shown below. g(x) = f(-2/3x)
WILL GIVE 100 POINTS.

Answers

Step-by-step explanation:

Given function:

f(x) = x

The transformation of f(x) is g(x):

g(x) = f(-2/3x) = -2/3x

The graph of g(x) is attached below

what is the quotient of -2/15÷ 1/4

Answers

Answer: -8/15

Step-by-step explanation:

-(2/15)/(1/4)

-[(2/15)/(1/4)]*(4/4)

= (-2/15)*(4/1)

= -8/15

[tex](5x10^3)x(9x10^7)[/tex]

Answers

Answer:

Step-by-step explanation:

[tex](5x10^{3})x(9x10^{7})=5*9*x^{1+1+1}*10^{3+7}\\\\=45x^{3}*10^{10}[/tex]

Which properly illustrated in the statement (-2)(+5) = (+5)(-2)?

Answers

Answer: 7

Step-by-step explanation:

it is trust me.

There is 358 pieces of pumpkin pie by the time dessert comes around there are only 7 guest left how many pieces can each person get if it is shared equally how many will be left over

Answers

51 slices is the answer

13. On a snow day, the temperature at 8 AM was 2°F. Later in the day the temperature rose 6º. What was the resulting temperature?​

Answers

The resulting temperature was 8°F.

Mary goes to the bakery with $35. She purchases 2 loaves of bread for $3 each and a cake for $15. She plans to spend the remainder of her money on cookies that cost $1.25 each.
What is the greatest number of cookies that Mary can buy?
HELPPPP

Answers

Answer:

The greatest number is 11

Step-by-step explanation:

It is 11 because 3+3=6+15=21

35-21=14

14/1.25=11.2

hope this helps

simplify (3x^2y3)^3 / x3

Answers

Ok done. Thank to me:>

Which rate describes a unit rate of 6:1? A.) 12 tires for 3 cars B.) 30 miles for 5 hours C.) $35 for 5 set of markers D.) 45 miles in 9 hours​

Answers

Answer:

B.) 30 miles in 5 hours

Step-by-step explanation:

If you were to simplify all the ratios:

A) 12:3 divided by 3/3 is 4:1

B) 30:5 divided by 5/5 is 6:1

C) 35:5 divided by 5/5 is 7:1

D) 45:9 divided by 9/9 is 5:1

B is 6:1.

Nate earns extra money on the weekends mowing lawns. He charges $14.00$ to work for the first hour. He charges $10.50 for each additional hour. Let hh equal the number of hours after the first hour. Which expression represents how much Nate charges?

Answers

Answer:

m=14+10.50h

Step-by-step explanation:

h represents hours. m represents how much he makes

he's going to get 14 dollars, plus 10.50 times however many hours he works.

4.) You paid $51 for four tickets to a play. What is the unit price?
O $12.75
$12.50
O $13.00
$12.00

Answers

Answer:

$12.75

Step-by-step explanation:

To find the unit price of something divide the cost by the amount of the Item

If line L is parallel to line M, solve for x and y​

Answers

Answer:

x = 18, y = 5

Step-by-step explanation:

Because lines L and M are parallel, the corresponding angles 7x - 23 and 49 + 3x are equal.  Thus, 7x - 23 = 49 + 3x, or -72 = 2x.  Thus,

                                  4x = 72 and x = 18.

Check:  Is 7x - 23  =  49 + 3x true when x = 18?

                 7(18) - 23 =  49 + 3(18)?

                       103    =     103?  yes

Also:  If we concentrate on the triangle in the middle of the picture:

49 + (180 - 7x + 23) + (11y - 1) = 180 (sum of the interior angles of a triangle)

Then:  49 + 180 + 23 - 7x + 11y - 1 = 180.  But x = 18, so we have:

125 + 11y = 180, or 11y = 55, and so y = 5

I need help i have no clue what to do!

Answers

Answer:

-2x-6y= -14 (i)

-6x-2y= -26 (ii)

Multiply eq (i) by 3

-6x-18y= -42 (iii)

-6x-2y= -26 (ii)

Subtract eq (iii) from ii

-6x -18y = -42

+6x+2y = +26

_______________

0 - 16y = -16

●y= 1

Put y =1 in eq 1

-2x -6 (1) = -14

-2x = -14 + 6

-2x = -8

●x =4

x=4 y=1

BRAINLIST PLS

ab+4a-3b-12 = (b+4)(_____)

Answers

ab+4a-3b-12 = (b+4)(a-3)

Choose the statement that correctly compares their unit rates. A. Tyrone's unit rate is equal to John's unit rate. B. Tyrone's unit rate is 2 more miles per hour than John's unit rate. C. Tyrone's unit rate is 1 more mile per hour than John's unit rate. D. Tyrone's unit rate is 1 fewer mile per hour than John's unit rate.​

Answers

Answer:

Step-by-step explanation:

kimi is running for student body president. her friend, sarah, already helped by posting 12 of her campaign signs around the school. now kimi id posting the rest at a rate og 1.5 signs per minute. write an equation that shows the total number of signs posted, y, depends on the number of minutes

Answers

the answer: y=1.5x+12

Amrit's income is 32% more than Bethan's income.
Amrit and Bethan's combined income is £54868.
Calculate Amrit's income.

Answers

Answer:

Based on the given conditions, formulate:  

Reduce the fraction:

get the result:

Answer:

Step-by-step explanation:

The Amrit's income is £27434.16.

It is required to find the

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Let the Bethan's income be x

Amrit's income is 32% more than Bethan's income.

So, Amrit's income=x+32%

Amrit and Bethan's combined income is £54868.

According to given question we have

x+x+32%=£54868

2x+32/100=£54868

2x=54868-0.32

2x=54867.68

x=27433.84

Bethan's income=£ 27433.84

Amrit's income

=x+32%

=£ 27433.84+0.32

=£27434.16

Therefore, the Amrit's income is £27434.16.

Learn more details about arithmetic here:

https://brainly.com/question/11559160

#SPJ2

If the simple interest on $4,000 for 5 years is $1,400, then what is the interest rate?

Answers

Answer:

7%

Step-by-step explanation:

5 years= $1,400

1 year= 1,400/5= 280

$280 is ?% of $4,000

(280/4000)*100

so, 7%

Hope this helps!

Colin predicted whether he got answers right or wrong in his 50 question exam.

He identified the 12 questions he thought he got wrong.

It turns out that Colin got 5 questions right that he thought he got wrong.

Colin also got a total score of 42 out of 50 in the test.

What is the percentage accuracy he had with predicting his scores?

Answers

Step-by-step explanation:

so, he predicted he had 12 questions wrong.

that would have been a score of 38.

but he got 42.

that is a difference of 42-38 = 4.

now, accuracy could have different meanings like actual score vs. predicted score, or which questions were right or wrong (for real or predicted), or only looking at the questions that were right (real vs. predicted), ...

I assume it is the first one.

so,

100% = 38 (prediction)

1% = 100%/100 = 38/100 = 0.38

how many % are these 4 questions that his prediction was off from reality ?

4 / 0.38 = 10.52631579...

so, his prediction was off by about 10.53%

I don’t know what to call it but I need help

Answers

Answer: this is a math test, i presume

on schoology

it’s the third option 63 over 3/8

Can anyone tell me the answer to this please?

Answers

Answer:

-4x + 2

Step-by-step explanation:

The outputs are decreasing by 4, so -4 is the slope, the coefficient for x.

The y- intercept is 2 because when x is zero, y is 2. You can find the y-intercept by adding 4 to -2, the output for when x is 1.

Answer:

y = -4x + 2

Step-by-step explanation:

First find the slope using this equation ....

y2 - y1/x2 - x2 =

plug in two ordered pairs (doesn't matter which one) ....

-2 - (-6)/1 - 2 =

-2 + 6/-1 =

4/-1 = -4

The slope is -4. The next blank is the y-intercept (0,y) ....

y = -4x + b

plug in any ordered pair ....

-2 = -4(1) + b

-2 = -4 + b

+4   +4

2 = b

Put it all together ....

y = -4x + 2

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!4

Answers

Answer:

a

Step-by-step explanation:

For the sequence −9, −3, 3, 9, 15, ... write the recursive formula. a(1) = __, a(n) = a(n-1) + d *

Answers

Answer:

the answer to the question is online if you

A group of seven students brought enough peppermint candy to share equally among themselves during a computer lab meeting. which could be the number of pieces of peppermint candy they bought
A: 64
B: 56
C: 38
D: 27

Answers

Answer:

56

Step-by-step explanation:

What is the answer to this question?

Answers

D is the answer because she only gains money . The others lose something. The toal for D is $40 not $0 like the other ones

!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

M=4 if not 1/4

Step-by-step explanation:

hope this helps sorry if it was incorrect have a great rest of the day :)❤

Mia and Rosa are on a bike ride. Mia's bike has a 29" diameter wheels and Ross's bike has 26" diameter wheels

Answers

Answer:

he wheels and wheels his bike he has 26 bikes in all the e mia has 29 in all

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