Given 36 − 9, simplify the expression using the Difference of Squares.
Wait, wait. I know what you are saying. 36 − 9 is not exactly a difficult math problem, it is 27. Yes you are correct; however, 36 − 9 is going to serve as a proof that the Difference of Squares is valid regardless of what x and y are.
36 − 9
62 − 32
This looks exactly like the Difference of Squares, x2 − y2. So substitute 6 and 3 in for x and y.
Answer:
See below
Step-by-step explanation:
Using formula
x^2 - y^2 = (x + y)(x - y)Applying to given expression
36 - 9 = 6^2 - 3^2=(6 + 3)(6 - 3)=9*3=275) The price of a gallon of gas was $4.00. The price went up by 10% and then went down by 10%. Antonio thinks that since the price both rises and falls by 10%, the price of a gallon of gas is back to $4.00. His teacher tells him that he is incorrect. Explain why Antonio's reasoning is incorrect. (1 point) Determine the price of a gallon of gas after the 10% rise and 10% fall. (1 point) Total of 2 points. *
Answer:
Antonio is wrong because 10% of 4.00 is .40 and if the price goes up then the price is $4.40 and since the price is going down by ten percent, ten percent if $4.40 is .44 and therefore the price is $3.96.
Find the product of (18k+ 2m)(m + k)
Answer:
18k^2+2m^2+20km
Step-by-step explanation:
can someone please answer both
Answer:
2.16•x is up ur function
21. 6 feet in 10 minutes
Step-by-step explanation:
when u multiply by ten u move the decimal to the right one place
Answer:
this is what u need .........
What is 471,284 rounded to the nearest
thousands
Answer:
471,000
Step-by-step explanation:
Use the drop-down menu to complete the statement.
To find the quotient of 2 -
3
circle groups of
8
loo
Answer:
its 3/8
Step-by-step explanation:
Hopes this helps <3
On Monday, your bank account balance was −$12.90. Because you didn't realize this, you wrote a check for $30.39 for groceries.
Answer:
$17.49
Step-by-step explanation: You need to subtract $30.39 by $12.90
$30.39
-$12.90
First, its 9 - 0 which will = 9.
Then, 3 - 9. but you can do that so you have to make the 3 in 30, into a 2 then make the 0 in 30 a ten, then make that 10 into a 9, then make the 3 into 13.
So 13 - 9 = 4.
Now you have 9 - 2. Which will = 7.
Last, its 2 - 1 which will = 1.
so after all of that you get: $17.49
Answer:
Step-by-step explanation:
To find the balance, take the old balance and subtract the amount spent on groceries. next u have to minues -12.90 from 30.39 =17.49
The midpoint of xy is located at the origin
Answer:
Is there supposed to be an image?
Step-by-step explanation:
An element with mass 640 grams decays by 7.3% per minute. How much of the element is remaining after 8 minutes to the nearest 10th of a gram?
9514 1404 393
Answer:
349.0 grams
Step-by-step explanation:
The amount remaining can be modeled by an exponential function of the form ...
remaining = (initial amount)(1 - decay rate)^t
q(t) = 640(1 -0.073)^t
q(8) = 640(0.927^8) ≈ 349.0 . . . grams
The amount remaining after 8 minutes is about 349.0 grams.
What is the least common denominator of 2/3, 1/6 and 11/12
Answer:
2/3 = 8/12
1/6 = 2/12
11/12 = 11/12
If x an y are natural numbers then x-y is a natural number what is the converse of this statement
9514 1404 393
Answer:
If x-y is a natural number, then x and y are natural numbers.
Step-by-step explanation:
The converse of ...
If P, then Q.
is ...
If Q, then P.
__
Here, we have ...
P = "x and y are natural numbers"
Q = "x-y is a natural number"
So, the converse is ...
If x-y is a natural number, then x and y are natural numbers.
_____
In this case, the converse is false.
There is triangle one of the angles is 101 degrees and the other is 38 workout x
Angle sum property = Sum of the three angles of a triangle will be equal to 180° .
Using this let us find out the measure of x .
Measure of first angle = 101°
Measure of second angle = 38°
Measure of third angle = x
[tex]101 + 38 + x = 180[/tex]
[tex]139 + x = 180[/tex]
[tex]x = 180 - 139[/tex]
[tex] = x = 41[/tex]
[tex]∴ \: the \: value \: of \: x \: = 41°[/tex]
eli worked on a part time job in summer for 6 days. he worked 4 hours on each of the 6 days. he was paid a total of 300 for his work. how much did he get paid for each hour he worked? writer your number as a mixed number in the simplest form.
Answer:
$12.50 per hour
Step-by-step explanation:
PLEASE HELP!!! i’ll give brainliest
Answer:
x = [tex]\sqrt{164[/tex]
Step-by-step explanation:
In order to find the hypothenuse, you need to do [tex]8^{2} + 10^{2}[/tex]. Which equals 164. Therefore, since [tex]a^{2} +b^{2} =c^{2}[/tex], a=8, b=10, and c=[tex]\sqrt{164[/tex].
What are the angles x?
Answer:
TOP LEFT TRIANGLE: x=28°
BOTTOM LEFT TRIANGLE: x=90°
TRIANGLE ON THE RIGHT: x=34°
Step-by-step explanation:
TOP: the triangle on the right has 90 and 39. That makes the third one 51. It’s supplement is 129. 129+23=152. 180-152=28. X=28°
BOTTOM: 180-119=61. 61+29=90. 180-90=90. X=90°
RIGHT: right triangle has 90 and 70. 90+70=160. 180-160=20
180-70-41-15-20=34°
Need help ASAP with my math
Answer: The answer is -2
Step-by-step explanation: I want points and trust me this answer is correct
SHOW YOUR WORK! PLEASE HELP ASAP.
ITS REALLY SIMPLE PLEASE HELP DONT IGNORE
Xavier is solving a problem on the whiteboard as shown.
Part A. Is Xavier's solution correct? If not, identify where he made an error.
Part B. Solve 7950 divided by 25.
Let us see how we can solve this step by step each :
6417 ÷ 31 , we divide 64 by 31 and get the resulting quotient as 2 .
Then we bring down 1 . So , the number below is 21 , which cannot be divided by 31 .
So , we will have to bring down 7 for which we have to add a 0 to the quotient . Then the quotient will become 20 as of now .
As 217 is divisible by 3 , I put seven near 21 , making the quotient as 217 and get the remainder 0 .
Hence in the correct solution the correct quotient = 207 .
In Xavier's solution :But the same thing has not been done in Xavier's solution as he has put a 0 after 7 instead of putting it before 7 . Hence , Xavier's mistake is that he put the 0 after 7 instead of putting it before 7 .
In Xavier's solution the quotient is = 270
Therefore , Xavier's mistake is that he put the 0 after 7 instead of putting it before 7 .
Differentiate. y = (x2 - 2x + 6) et O (2x - 2) ex (x2 + 4x + 4) ex O (x2 + 4) ex + 4x + 6
Answer:
y' = (x² + 4)eˣ
Step-by-step explanation:
Power rule: y' = f'(x)g(x) + f(x)g'(x)
[tex]\frac{d}{dx} [e^x]=e^x[/tex]
Step 1: Write equation
y = (x² - 2x + 6)eˣ
Step 2: Differentiate
Power rule: y' = eˣ(2x - 2) + eˣ(x² - 2x + 6)Factor out eˣ: y' = eˣ[2x - 2 + x² - 2x + 6]Combine like terms: y' = eˣ(x² + 4)Rewrite: y' = (x² + 4)eˣPLZZ ANSWER THE QUESTION
Answer:
c
Step-by-step explanation:
y = mx + b
”m” is the slope, so the slope is -2
”b” is the y - intercept, so the y - intercept is (0 , 1)
More on Linear Equations & Linear Systems: Question 1
How many solutions does the system of equations below
have?
y - 2x + 2
y-r-1
Select one:
none
infinitely many
O o o o
one
two
Answer:
21
Step-by-step explanation:
I need help plz with this question
Andrew drew a square with each side measuring 3 inches. Lindsay drew a triangle with each side measuring 4 inches. Which shape has a greater perimeter? Write an equation to help explain your answer.
Answer:
they have the same perimeter.
Step-by-step explanation:
3in × 4 = 12in
4 in × 3 = 12in
What is the domain of the function in this table?
X | Y
1 | 2
2 | 4
3 | 3
4 | 2
CHIOCES:
A. (1, 2), (2, 4), (3, 3), 4,2)
B. {1,2,3,4}
C. (1,2)
D. {2,3,4}
PLEASE HELP URGENT
Answer: B. {1, 2, 3, 4}
Step-by-step explanation:
The domain is the set of input values (in other words, x values)
Can y’all help me in this please
Answer:
this may be wrong but i think its p
Step-by-step explanation:
I need help ASAP due rn!
Solve the equation by completing the square. Show all your steps
X^2-6x+13=0
(6-x3)5=45 Please help
What's the GCF of 32a, and 48b
Look at this as a fraction and break it down.
Simplify as much as possible:
-70
-28
Answer:
espera y termino y te ayudo vale que me falta poco vale
In? gambling, the chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ratio of the number of successful outcomes to the number of unsuccessful outcomes. The odds of losing is the ratio of the number of unsuccessful outcomes to the number of successful outcomes. For? example, if the number of successful outcomes is 2 and the number of unsuccessful outcomes is? 3, the odds of winning are 2:3(Note; if the odds of winning are 2/3, the propability of sucess is2/5)
The odds of event occuring are 1:6. Find (a) the propability that the event will occur,(b) propability that the event will not occur.
(a)The propability that event will occur is....(TYPE AN INTEGER OR DECIMAL ROUNDED TO THE NEAREST THOUSANDTH AS NEEDED.)
(b)The propability thet the event will not occur is...(TYPE AN INTEGER OR DECIMAL ROUNDED TO THE NEAREST THOUSANDTH AS NEEDED)
Answer:
A) The probability that the event will occur[tex]=\frac{1}{7}[/tex]
B)The probability that the event will not occur = [tex]\frac{6}{7}[/tex]
Step-by-step explanation:
We are given that The odds of event occurring are 1:6.
So, Number of successful events = 1
Number of unsuccessful events = 6
So, Total events = 6+1=7
a)the probability that the event will occur=[tex]\frac{\text{Favorable event}}{\text{Total event}}[/tex]
The probability that the event will occur[tex]=\frac{1}{7}[/tex]
b)The probability that the event will not occur =[tex]\frac{\text{Favorable event}}{\text{Total event}}[/tex]
The probability that the event will not occur = [tex]\frac{6}{7}[/tex]
Explain the phrase conservation of energy and provide an example.
Answer:
Conservation of energy, principle of physics according to which the energy of interacting bodies or particles in a closed system remains constant. ... For example, when a pendulum swings upward, kinetic energy is converted to potential energy.
Step-by-step explanation: