test the following statements to see if it’s reversible if so choose the true biconditional
Answers
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
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:
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.
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
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.
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
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) = xThe transformation of f(x) is g(x):
g(x) = f(-2/3x) = -2/3xThe graph of g(x) is attached below
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%
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:
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
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
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
What is the answer to this question?
Answers
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!
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
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.
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
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
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
!!!!!!!!!!!!!!!!!!!!!!!!!!!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 :)❤
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.
simplify (3x^2y3)^3 / x3
Answers
Which properly illustrated in the statement (-2)(+5) = (+5)(-2)?
Answers
Answer: 7
Step-by-step explanation:
it is trust me.
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.
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
[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]
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.
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
ab+4a-3b-12 = (b+4)(_____)
Answers
I don’t know what to call it but I need help
Answers
Answer: this is a math test, i presume
on schoology
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!4
Answers
Answer:
a
Step-by-step explanation: