Answer:
(n)*(x+y)(x-y)
Step-by-step explanation:
First of all, you take the n out, and then you use the formula of x²- y² and it will equal to (x+y)(x-y).
Answer:
n(x+y)(x−y)
Step-by-step explanation:
1. To factor this equation, first, you can see that both the x^2 and the y^2 have an n next to them. So, you can take out the n. You get this: n(x^2-y^2)
2. After you take the n out, you can also factor the (x^2-y^2) since they are both squared (to the second power). To do this, you simply split the two apart and make sure to include the negative. You get this, the final answer:
n(x+y)(x-y)
3. You can check it by multiplying out the answer, and once multiplied out, you get the original expression of x^2n-y^2n.
Hope this helped! Feel free to ask any questions :)
show all steps for 4.7x+90=5.6x+2.1x
Answer:
x=30
Step-by-step explanation:
4.7x+90=5.6x+2.1x4.7x+90=7.7xSubtract 4.7 on both sides 3x=90x=30Reduce the fraction into simplest terms. 9/12
Answer:
3/4
Step-by-step explanation:
divided by 3 to get the answer.
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
9 can also be written as 3×3 & 12 can also be written as 3×4.
So if we gonna cancel out a 3 from 9 & 12 , then the remaining numbers in 9 & 12 will be 3 & 4.
[tex]\frac{9}{12}=\frac{3*3}{3*4} = \frac{3}{4}[/tex]
For the pair of functions, find (f o g)(x) and (gof)(x).show work!!!!!
f(x) = -2x^2, g(x) = x + 4
A. (fog)(x) = -2x^2– 8x^2; (gof)(x) = -2x^3 - 8x^2
B. (fºg)(x) = -2x^2– 16x - 32; (g = f)(x) = -2x^2+ 4
C. (fog)(x) = -2x^2 + 4; (g e f)(x) = -2x^2- 16x - 32
D. (fog)(x) = -2x^2- 32; (go 3)(x) = -2x^2 + 4
The function (f·g)(x) is -2x³-8x²and the function (g·f)(x) is -2x³-8x². Therefore, the correct answer is option A.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are f(x)=-2x² and g(x)=x+4.
Now, (f·g)(x)=f(x)×g(x)
= -2x² ×(x+4)
(f·g)(x)= -2x³-8x²
Here, (g·f)(x)=g(x)×f(x)
= (x+4)×(-2x²)
(g·f)(x)= -2x³-8x²
Therefore, option A is the correct answer.
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102 + 7y = 16
15x + 8y 29
Is this consistent or inconsistent
Answer:
Step-by-step explanation:
18y
HELP ASAP!! Verona is solving the equation –3 + 4x = 9. In order to isolate the variable term using the subtraction property of equality, which number should she subtract from both sides of the equation? a. –4 b. –3 c. 3 d. 4
Answer:
C, 3
Step-by-step explanation:
you add 3 then divide by 4
8. Write `6.43\cdot10^{3}` in standard notation
9. Write `8.456\cdot10^{7}`
10. Write `8\cdot10^{5}` in standard notation
11. Write `9\cdot10^{10}` in standard notation
12. Describe how you would write 3,482,000,000 in scientific notation as if you were explaining it to someone who didn't know what scientific notation was.
just move the decimal point where the exponent indicates
there are no negative exponents here so none of these numbers will be decimal:
8. 6430, moved the decimal point 3 places to the right
9. 84560000 moved the decimal point 7 places to the right
10. 800000 (six zeros)
11. 90000000000 (ten zeros)
12. 3.482^9 (I'll use this one as example)
To convert a number to scientific notation, move the point just after the first number from left to right (that is not zero), remove the zeros that are from right to left if there are any (for example, if you have 45002 it is not needed to remove any because there is a significant number is in front of the two zeros, instead, if we have a number like 2046000, the last three zeros are removed).
there you will have the number: 3.482
Then, count how many places the point moved (in the original number) and that will be the exponent
3,482,000,000
moved 9 places
this isn't a decimal number so the exponent will be positive
3.482^9
Consider what you learned about change in this lesson and in the story. Think about the theme of "people can change for
the better." How do you think the short story explores this theme?
In about 150 words, explain how you think this story demonstrates this theme. Use examples from the story to support
your answer.
At the beginning of the story, Jimmy Valentine is eager to get back to his old ways. He packs his suitcase of “burglar’s tools” and leaves town. However, when he reaches Elmore, he falls in love with Annabel Adams. He “looked into her eyes, forgot what he was, and became another man.” His love for Annabel drives him to change his ways and live a decent life. He is able to change for the better for her.
Jordan borrowed some money from his friend in order to help buy a new video game
system and agreed to pay the friend back a constant amount each week. Jordan
originally borrowed $120 from his friend and after 2 weeks, he still owed his friend
$90. Write an equation for L, in terms of t, representing the amount Jordan owes
his friend after t weeks.
Answer:
l=-15t+120
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The equation represents representing the amount L owed after t weeks.
L = 120 - 15t
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Total amount borrowed = $120
Amount left to pay after 2 weeks = $90
This means,
In 2 weeks the amount paid.
= 120 = 90
= $30
The amount paid per week is constant.
2 week = $30
Divide both sides by 2.
1 week = $15
Now,
The equation represents representing the amount L owed after t weeks.
L = 120 - 15t
Thus,
The equation represents representing the amount L owed after t weeks.
L = 120 - 15t
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expanded form using fractions 1/100
Answer:
Standard form: 1
Step-by-step explanation
expanded notation form: 1
expanded factors form: 1x1
expanded exponential for 1x 10^0
Laura bought 55 shares of stock for $3.50 per share last year. She paid her broker a 1% commission. She sold the stock this week for $2 per share, and paid her broker a $10 flat fee. What were Laura’s net proceeds? Round to the nearest cent. What was her capital gain or loss?
Answer:
cp of 55 shares = 3.50 * 55 = 192.5
commission amount = 1% *192.5 = 1.925
Total invest = 192.5 + 1.925 = 194.425
sp of 1 share = 2
sp of 55 share = 2*55 = 110
Earning from shares = 110
since earning is less than invest, Laura has loss of (194.425 - 110) = 84.425
Laura has a loss of $84.425 for the cost price of $192.5.
What is an expression?Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Cost price of 55 shares = 3.50 x 55 = 192.5
Commission amount = 1% *192.5 = 1.925
Total invest = 192.5 + 1.925 = 194.425
The selling price of 1 share = 2
The selling price of 55 share = 2*55 = 110
Earning from shares = 110
Since earnings are less than investment, Laura has a loss of (194.425 - 110) = $84.425
Therefore, Laura has a loss of $84.425 for the cost price of $192.5.
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the product of two numbers is 12
True or False: A slope of 0 means the line dosen't move up or down, it is flat
Answer:
Step-by-step explanation: yes
Jasmine needs to make a bouquet of 24 yellow and orange carnations. The ratio of yellow carnations to all of the carnations must be 1 to 3. She determines that she will need 8 orange carnations for the bouquet. Which statement correctly describes her error?
Answer:
c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Before a movie began, a theater had people waiting in the seats. During each of 4 movie trailers, 7 more people came into the theater. When the movie started 82 people were in the theater. Assume the relationship is linear. Determine and interpret the rate of change and the initial value.
can someone help me ASAP!!!!
Answer:
well assuming that it's linear the
Step-by-step explanation would be: something but you don't want that you want the answer assuming that 7 people came in every 4 trailers the slope or rate of change would be 7/4 and the initial value would be 5.
a scientist wants to study 24 stars he studies 1/3 of them one week and 1/4 of them next week how many of them are left to study?
Express in algebraic terms: five less than four times a number.
Answer: 4n-5
n= Number
Help plz.
................
Answer:
-2, 14 is your answer. Hope this helps!
Step-by-step explanation:
If k(-5, 10) is midpoint and (-8, 6) is one side then you add -3 and subract 4 to get L. That means subtract 3 from -5 and add 4 to the 10.
What is three and five eights as a decimal
Answer:
3.625 would be the correct answer.
Step-by-step explanation:
Emily is thinking of a number, which she calls n. She finds 1/4 of the number and then subtracts 3.
Answer:
n/4 - 3 OR 1/4n - 3
Step-by-step explanation:
First, let's assign a variable to Emily's number. Let is be x.
Now all we have to do is go through the problem step by step.
"She finds 1/4 of the number..."
There are two ways you can do this. You can either multiply n by 1/4 (1/4n), or you can divide by 4 (dividing by four is the same as finding 1/4 of a number). For this example let's divide by four
n/4
"...and then subtracts 3."
All we have to do is subtract 3 from n/4
n/4 - 3
REMEMBER: like I said, there are two possible options. You can either have n/4 or 1/4n. They mean the same thing
Answer:
1/4n - 3
Step-by-step explanation:
2 lines intersect. Where the 2 lines intersect, 4 angles are created. Labeled clockwise, from uppercase right: angle 1 (3 x minus 1) degrees, angle 2 is blank, angle 3 (2 x + 9) degrees, and angle 4 is blank. What are the numerical measures of each angle in the diagram? ∠1 and ∠3 measure degrees. ∠2 and ∠4 measure degrees.
Answer: angle 1 and 3 measure 29 degrees.
angle 2 and 4 measure 151 degrees.
Step-by-step explanation:
I need help understanding this ASAP PLZ!!!!
Answer:
[tex]x\geq -2[/tex]
Step-by-step explanation:
well the values for x are from -2 to ∞
so we can write it as
[tex]x\geq -2[/tex]
He repartido mi colección de canicas entre mis tres amigos. A thales le he dado 1/5 del total, a arquimedes un 1/3 del resto y por último a pitagoras le he regalado las 16 canicas que me quedaban
Answer:
Ok, supongamos que en total hay N canicas.
1/5 de esas canicas se le dieron a Thales.
Entonces el resto ahora es:
1 - 1/5 = 4/5.
1/3 de esas canicas se le dieron a Arquimedes.
Entonces Arquimedes recibe:
(1/3)(4/5) = 4/15 de las canicas totales.
El resto, que eran 16, se le dieron a Pitagoras.
Ahora, las dos primeras entregas fueron:
1/5 + 4/15 = 3/15 + 4/15 = 7/15.
El resto seria:
1 - 7/15 = 8/15.
Y sabemos que el resto es igual a 16 canicas, entonces tenemos que:
(8/15)*N = 16.
De aca podemos calcular el numero total de canicas.
N = 16*(15/8) = 30
Esto quiere decir que inicialmente hay 30 canicas.
Thales recibe 30*(1/5) = 7 canicas.
Arquimedes recibe 30*(4/15) = 8 canicas.
Pitagoras recibe 16 canicas.
can someone help me?
thanks
Answer:
A
Step-by-step explanation:
2w means 2 pounds per week
you need less than or equal to because think about it like this
you want to be LESS THAN or EQUAL TO 190 pounds. on the right side is reality , what you really are. you need the right side to be LOWER or EQUAL to the left side!
Divide.
-3 1/3 divided by 9
Answer:
-10/27 (or) -0.37037037...
Step-by-step explanation:
-3 1/3÷9=
-10/3÷9=
-10/27 (or) -0.37037037...
Answer:
-10/27
Step-by-step explanation:
2x^3 + 3x^2 -11x -6 divided by x - 2
p(x)= x-2
g(x)= 2x^3 + 3x^2 - 11x - 6
first we have to find the zero of the polynomial of x-2
p(x)= x-2 = 0
x=2
therefore,
p(x)= 2x^3 + 3x^2 - 11x - 6
p(2)= 2*2^3 + 3*2^2 - 11*2 - 6
= 2*8 + 3*4 - 11*2 - 6
= 16 + 12 - 22 - 6
= 28-28
= 0
Hope it helped u, ^_^.
Which expressions are equivalent to 3x+ 3(x + y)?
Answer:
6 x + 3 y = 3x+ 3(x + y) or 3 (2 x + y)
Step-by-step explanation:
all exxpressions are equivalent
Answer: 6x + 3y & 3(x + x + y)
Step-by-step explanation:
Please help guys lol I have no clue how to do this... it’s the square root method?
Answer:
2 seconds.
Step-by-step explanation:
s=16t² -- (1)
s=64. (given)
Put value of s in (1)
64=16t²
16t²=64
t²=64/16
t²=4
t=√4
t=2 seconds.
Hope this helps :-)
Can someone help mewith this
Answer:
(x+3)(x-3) * 2
4 (x-3) (x+3)
= 1/2
Answer:
1/2
Step-by-step explanation:
[tex]\frac{(x-3) * (x+3) }{2(2x-6)}[/tex] × [tex]\frac{2}{x+3}[/tex]
[tex]\frac{(x-3)*1}{2(x-3)}[/tex]
[tex]\frac{1}{2}[/tex]
Jade wants to verify that the expression 5(3x – 6) is equivalent to 15x – 30. She substitutes 2 into each expression and evaluates each one. How will she know if 5(3x – 6) is equivalent to 15x – 30?
They are equivalent if the two values are the same.
They are equivalent if the value for 5(3x + 6) is greater.
They are equivalent if the value for 15x + 30 is greater.
They are equivalent if one value is negative and the other value is positive.
Answer:
They are equivalent if the two values are the same.
Step-by-step explanation:
i got it right on the test
Answer:
A
Step-by-step explanation:
HEY GUYS HELP I HAVE NO CLUE AND I HAVE TO TURN IT IN AT 25 MINUETS
Answer:
elevator 1 ends at floor 23. Elevator 2 ends at floor 42.
Step-by-step explanation: