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
3x + 9 - 2x + 1 + 5x + 11
Answers
The Perimeter of a triangle is 24cm and the length of the three sides are in the ratio 3:4:5 Find the length of the three sides
Answers
Answer:
6, 8, and 10 cm
Step-by-step explanation:
3+4+5=12
24/12=2
2*3=6
2*4=8
2*5=10
There are 30 boys in 6th grade. The number of girls in 6th grade is 40. Abigail says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 4:3. Is Abigail correct? If not, what is the correct answer?
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Hint
Try writing two equivalent fractions with a variable representing the unknown quantity and then solving for the variable. For example, if a:b is equivalent to c:d, then ab=cd.
Correct Ratio10:203:43:7
Answers
Answer:
No because in question the boys is first and girls are second so according to your question the correct ratio is 3:4
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
WILL GIVE BRAINIEST IF YOU GET IT RIGHT PLEASE HELPP!!!
Translation: with the digits 1,2,3 you can form three-digit numbers like 123,231,312 ... determine the sum of all possible numbers
Answers
Answer:
d
Step-by-step explanation:
po ang tamang sagon po
help help help plssss
Answers
Answer:
6.5
Step-by-step explanation:
bc I just no plus or it's 5
How many permutations are there of the letters APPLE, if the arrangement must begin with a
vowel and end with a consonant?
Answers
Answer:
[tex]18[/tex].
Step-by-step explanation:
Start by considering the two "[tex]\verb!P![/tex]"'s as being different from one another. That way, all five letters in this word would be distinct. With this assumption, the number of arrangements would be [tex]\left(\genfrac{}{}{0}{}{2}{1}\right) = 2[/tex] times that of the actual value.
Start by fixing the first and the last letter since they come with special requirements.
There are [tex]2[/tex] choices for the first letter (the vowel: [tex]\verb!A![/tex] and [tex]\verb!E![/tex].)
Under the assumption that the two "[tex]\verb!P![/tex]"'s are distinct, there would be [tex]3[/tex] choices for the last letter ([tex]\verb!L![/tex] and the two
After choosing the first and the last letters, there would be [tex](5 - 1 - 1) = 3[/tex] choices for the second letter, [tex](3 - 1) = 2[/tex] choices for the third, and [tex](2 - 1) = 1[/tex] for the fourth.
Thus, under the assumption that the two "[tex]\verb!P![/tex]"'s are distinct, there would be [tex](2 \times 3) \times (3 \times 2 \times 1) = 36[/tex] ways to choose the new word. Since this assumption doubles the number of arrangements, dividing the [tex]36[/tex] by [tex]\left(\genfrac{}{}{0}{}{2}{1}\right) = 2[/tex] would give the actual number of arrangements:
[tex]\begin{aligned}\frac{36}{\genfrac{(}{)}{0}{}{2}{1}} = \frac{36}{2} = 18\end{aligned}[/tex].
[tex]\begin{aligned}& 1 && \verb!APPEL!\\& 2 && \verb!APLEP!\\& 3 && \verb!APEPL!\\& 4 && \verb!APELP!\\& 5 && \verb!ALPEP!\\& 6 && \verb!ALEPP!\\& 7 && \verb!AEPPL!\\& 8 && \verb!AEPLP!\\& 9 && \verb!AELPP!\\& 10 && \verb!EAPPL!\\& 11 && \verb!EAPLP!\\& 12 && \verb!EALPP!\\& 13 && \verb!EPAPL!\\& 14 && \verb!EPALP!\\& 15 && \verb!EPPAL!\\& 16 && \verb!EPLAP!\\& 17 && \verb!ELAPP!\\& 18 && \verb!ELPAP!\end{aligned}[/tex].
Mike has $84 less than three times as much as Dave. Together they have $132. How much money does Mike have?
I have to use either the system of equation strategy of elimination or substitution to solve this. I realize that the first equation is
m + d = 132. But I don’t get what the second equation should be!
Answers
Answer: $48
Step-by-step explanation:
132 - 84 = 48
answer to this question please
Answers
Answer:
Volume is 21
Explanation
Base length is 4.5
Widgth is 3.5
and height is 4 (I can't tell if its 2 because picture is blurry)
V=lwh/3=4.5·3.5·4= 21
A homeowner collects data about the amount of oil, in gallons, used to heat the house per month for 5 months and the average monthly temperature, in degrees Fahrenheit, for those months. The scatter plot shows the data. The function best fits these data.
Use the function A(t)to determine which of the following statements are true. Select all that apply.
A The homeowner would use about 82 gallons of oil to heat the house for a month with an average temperature of 10 °F.The homeowner would use about 82 gallons of oil to heat the house for a month with an average temperature of 10 ° F.
B The homeowner would use about 85 gallons of oil to heat the house for a month with an average temperature of 15 °F.The homeowner would use about 85 gallons of oil to heat the house for a month with an average temperature of 15 ° F.
C The homeowner would use about 0 gallons of oil to heat the house for a month with an average temperature of 68.5 °F.The homeowner would use about 0 gallons of oil to heat the house for a month with an average temperature of 68.5 ° F.
D The homeowner would use about 5 gallons of oil to heat the house for a month with an average temperature of 55 °F. The homeowner would use about 5 gallons of oil to heat the house for a month with an average temperature of 55 ° F.
E The homeowner would use about 96 gallons of oil to heat the house for a month with an average temperature of 0 °F.
Answers
They are doing the calculations, we can say that the alternatives are:
A) True
B) False
C) False
D) False
E) True
For this exercise, the equation should be used:
[tex]A(t)=-1.4t+96[/tex]
So analyzing the first given statement we will have to:
[tex]A(t)=-1.4t+96\\t=10\\A(t)=-14+96=82[/tex]
Based on the calculations, this statement is true, for the second statement we will have:
[tex]A(t)=-1.4t+96\\t=15\\A(t)=-21+96=75[/tex]
From the calculations this statement is false, so for the alternative we will have:
[tex]A(t)=-1.4t+96\\t=55\\A(t)=-77+96=19[/tex]
From the calculations this statement is false, so for the alternative we will have:
[tex]A(t)=-1.4t+96\\t=0\\A(t)=96[/tex]
Based on the calculations, this statement is true.
Learn more: brainly.com/question/516840
pls pls pls pls PLEASEE help me :)
Answers
Answer:
3.07
Step-by-step explanation:
This is a multiple-step equation
1) Multiply together the costs of the ice cream
2) Multiply the cost of the movie
3) divide them into 5 ( five friends)
4) add those together then you have your answer
what is the value x in following sequences 3,12,x,48,75,...
Answers
Answer:
30
Step-by-step explanation:
12-3= 9
75-48= 27
This is quadratic because it is like saying what is in between 9 and 27.
So the pattern is 9, 18, 27
so 12-3= 9
30-12= 18
48-30= Also 18
75-48= 27
Hope this helped :)
tell the number of decimal places that will be in the product
1. 6.3×0.75=___
2. 9.7×48.8=____
3. 5.96×62.15=___
4. 37.6×8.3=____
Answers
Answer:
3242Step-by-step explanation:
The number of decimal places in the product is the sum of the numbers of decimal places in the factors.
1. the factors have 1 and 2 decimal places, so the product will have 1+2 = 3 decimal places.
2. 1 + 1 = 2 decimal places in the product
3. 2 + 2 = 4 decimal places in the product
4. 1 + 1 = 2 decimal places in the product
_____
Additional comment
If the factor has m decimal places, the place value of its least-significant digit is 10^-m. Similarly, if the factor has n decimal places, the place value of its least-significant digit is 10^-n. When these numbers are multiplied, the place value of the least-significant digit of the product is (10^-m)(10^-n) = 10^-(m+n). That is, there will be m+n decimal places in the product.
Note that the product in problem 3 is 370.4140. That is, the least-significant digit of the product is zero. Many calculators will not show that zero, giving the (false) impression that the product has only 3 decimal places.
Answer:
4.725
2.473.6
3.370.414
5.312.08
Step-by-step explanation:
Suppose you have a coin collection of dimes and quarters containing 46 coins. If you have $6.70, how many of each type of coin do you have?
Answers
answer:
32 dimes and 14 quarters
step by step:
32 x 10 = 320
14 x 25 = 350
320 + 350 = 670
670¢ = 6.70$
Is -1/2 equivalent to - 1/2
Answers
Answer:
Yes
Step-by-step explanation:
- 1 / 2 = - 1 / 2
Both are equal.
Solve the system by elimination
3x-2y=3
15x-4y=-3
Answers
Answer:
x=-1
y=-3
Step-by-step explanation:
3x-2y=3(1)
5.(1) <=> 15x-10y=15 (2)
15x-4y=-3 (3)
(2)-(3) <=> -6y=18
solve: 9x-7≤28+4x;x€W
Answers
we have 9x - 7 ≤ 28 + 4x
⇔9x - 4x ≤ 28 +7
⇔5x ≤ 35
⇔x ≤ 7
ok done. Thank to me :>
3/4+4y÷3;y=1 1/22 please help
Answers
Answer:3
4
+
4
(
y
3
)
.
3
4
+
4
(
y
3
)
=
4
y
3
+
3
4
y
=
11
22
=
=
1
2
Step-by-step explanation: :)
helppppp plzzzz is fue today
Answers
Answer:
0
Step-by-step explanation:
There is no gradient there.
Melinda paints 7/8 of a wall in 1 1/6 hours.What part of a wall does Melinda paint in 1 minute?
Answers
Answer:
A part of a wall that Melinda paints in 1 minute is: x = 1/80
1 inch = 2feet . what would be the real life measurement of an object that measures 3 inches on a scale drawing
Answers
Given,
1 inch = 2 feet
3 inches = ? feet
3 inches = (2 × 3) feet
3 inches = 6 feet
=》3 inches in the scale drawing is 2 feet in real life.
_______
Hope it helps ⚜
what is an estimate for the square root of -93
Answers
Answer:
approximately 9.64Step-by-step explanation:
The square root of 93 is approximately 9.64.
Answer:
9.3 or 9.4Step-by-step explanation:
We need to estimate √93.
Use formula below:
[tex]\sqrt{x^2+y} =x +(x/2y)[/tex]or
[tex]\sqrt{x^2-y} =x -(x/2y)[/tex]In the given case the formula works as:
[tex]\sqrt{93} =\sqrt{9^2+12} =9+(9/2*12) = 9+(9/24)=9.4[/tex]or
[tex]\sqrt{93}=\sqrt{10^2-7} =10-(10/2*7)=10 - 5/7 = 9.3[/tex]7^-12 x 7^5 Simplified
Answers
Find [tex]f'(4)[/tex] if [tex]f(x)=2x^2-3[/tex]
Explain how you got your answer.
Answers
Answer:
[tex]f'(4)=16[/tex]
Step-by-step explanation:
First, we need to find the derivative:
[tex]f'(x)=(2)(2)x^(^2^-^1^)-0[/tex]
[tex]f'(x)=4x[/tex]
Now, we need to plug in 4 for x:
[tex]f'(4)=(4)(4)=16[/tex]
(X-2)(x+1)
Expand and simplify
Answers
(x - 2)(x + 1) = ...
= x² + (-2 + 1)x + (-2•1)
= x² - x - 2
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!10
Answers
HELP! SOMEONE!
Using the information below draw a diagram, making sure to label the sides and angles, to help answer the following 2 questions. Don’t forget to label your answer.
∆ABC ≅∆DEF
AC = 15 in., AB = 24 in., m∠A = 34°, m∠C = 124°
What are the values of DE and m∠E?
DE = ______ m∠E = ________
THANK YOU!
Answers
Answers:
DE = 24 inchesm∠E = 22°=================================================
Explanation:
The diagram is below.
Draw two triangles that are identical copies of each other. This is exactly what the term "congruent" means. Congruent items are identical items.
The order is very important when it comes to figuring out congruent triangles. Triangle ABC has A first, B next, C last. For triangle DEF, we have D first, E next, F last.
This means we have this pairing:
A pairs with DB pairs with EC pairs with FBecause the triangles are congruent, we know that:
angle A = angle Dangle B = angle Eangle C = angle FSo if we could find out angle B, then we automatically will find out angle E as well.
Use the idea that for any triangle, the angles always add to 180
A+B+C = 180
34+B+124 = 180
B+158 = 180
B = 180-158
B = 22
Angle B is 22 degrees, and so is angle E.
----------------------
Everything in the previous section handled how to find angle E.
In this section, we'll find how long side DE is.
Since the angles pair up in the way mentioned earlier, we can further extend that idea to have these three pairs
side AB pairs with side DEside BC pairs with side EFside AC pairs with side DFThe pairs are formed directly based on how the angles pair up. For instance, AB and DE are both the first two letters of ABC and DEF respectively. In the diagram, AB and DE are both the left slanted side. However, the diagram can sometimes be misleading because it's perfectly possible to rotate triangle DEF to not have it line up with ABC. I drew the diagram to help make the pairings as clear as possible.
Anyways, we have AB pair up with DE. Both of those pieces must be congruent if we want the overall triangles to be identical. We're told that AB = 24, which means DE = 24.
The data points in the table show minutes on phone calls Identify the missing values in the table.
per day, x, and text messages sent per day, y. The least-
squares regression line for the data is j = 100 - 0.5x.
Use this table to answer the question.
A=
B=
C =
D =
Answers
Answer:
A= 5
B= 0
C= 50
D= -5
Step-by-step explanation:
Just did it on EDGE
Help me ..Answer should be well explained..
Answers
9514 1404 393
Answer:
6. see attached
7. (a, b) = (-2, 3)
8. equation has issues
Step-by-step explanation:
6. Matrix addition is defined for corresponding terms, so the usual associative and commutative properties of addition apply. That is, ...
A₁₁ +B₁₁ = (A+B)₁₁ . . . . . and the same for other corresponding terms
The attachment shows the sums are equal. (It is convenient to let a spreadsheet do the tedious repetitive work.)
__
7. To find 'a' and 'b', we only need to consider the matrix elements that involve those variables.
element 11: 5 = b +2 ⇒ b = 3
element 21: a = 2 +2a ⇒ a = -2 (add -a-2 to both sides to get this)
__
8. There are issues with this equation. It is incomplete and inconsistent.
element 11: p = p+4 ⇒ no solution
element 21: r = 0 +(2r s) ⇔ missing math symbol; problem is incomplete
element 12: q = 6 + (p +q) ⇒ p = -6; q = anything
element 22: s = 2s +2 ⇒ s = -2 (add -s-2 to both sides)
_____
Additional comment
When a problem has issues of the kind that show up in question 8, I suggest that you have your teacher show you how to work the problem. If they're paying attention, they will discover the issues for themselves.
If they are able to work the problem, it will be because they filled in the missing information and resolved the inconsistencies. This will let you see the intended question.
I WILL GIVE BRAINLIEST!! PLS HELP
Answers
Answer:
Angle PRQ is the same as NRM so therefore one of the three angles for both triangles is the same. Angle QPR and NMR are both 90 degrees and so the last angle must be the same in order for the three angles to be 180 degrees in total.
Step-by-step explanation:
Hope This Helps!!!
???
Express in the form n:1
12:2
Answers
Answer:
6:1
Step-by-step explanation:
The ratio 12/2 is equivalent to the ratio 6/1, or 12:2 = 6:1 .