Answer:
The number 2
Step-by-step explanation:
Answer:
"2 is prime and it is even"
Step-by-step explanation:
can someone answer this
Answer: The equation is not an identity
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Explanation:
We'll expand out the right hand side to see if we can simplify it to the left hand side. The stuff on the left will stay the same for each step.
I'll use c = a+b as a way to help distribute.
[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = c(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = a^3c - a^2bc-ab^2c + b^3c\\\\a^4 + b^4 = a^3(c) - a^2b(c)-ab^2(c) + b^3(c)\\\\a^4 + b^4 = a^3(a+b) - a^2b(a+b)-ab^2(a+b) + b^3(a+b)\\\\a^4 + b^4 = a^4+a^3b - a^3b-a^2b^2-a^2b^2-ab^3 + ab^3+b^4\\\\a^4 + b^4 = a^4+(a^3b - a^3b)+(-a^2b^2-a^2b^2)+(-ab^3 + ab^3)+b^4\\\\a^4 + b^4 = a^4-2a^2b^2+b^4\\\\[/tex]
Unfortunately, we can't go any further. We have a^4 and b^4 on the right hand side, but we also have the term -2a^2b^2 that didn't cancel out. Therefore, the original equation is not an identity.
----------------
Here's another way you can see that we don't have an identity.
Let's say we fixed 'a' to be equal to 1.
That means the equation
[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)[/tex]
would turn into
[tex]1^4 + b^4 = (1+b)(1^3 - 1^2b-1b^2 + b^3)[/tex]
and simplify to
[tex]1 + b^4 = (1+b)(1 - b-b^2 + b^3)[/tex]
Now replace b with x and you'll have the two equations to represent the left and right hand sides
[tex]y = 1+x^4\\y = (1+x)(1-x-x^2+x^3)[/tex]
which you can graph on the same xy axis. You should note that the two equations produce different curves. The curves would need to be identical if we wanted an identity to happen.
Side note: you can pick other values for 'a' instead of just 1.
Taylor Swift estimates the cost of a new Tesla model S to be $85,000. The actual cost is $100,690.
What is the percent error in Taylor's estimate? Round your answer to the nearest whole percent.
Answer:
should be 15%
Step-by-step explanation:
formula is |85,000 - 100,690| ÷ 100,690 × 100
If f(x) = 3 ^ x - 7 and g(x) = x ^ 2 + 11 , the value of f(2) - g(7) is:
Answer:
The value of [tex]f(2) - g(7)=-58[/tex]
Step-by-step explanation:
We have
[tex]f(x) = 3 ^ x - 7\\\\f(2) = 3 ^ 2 - 7\\\\=9-7\\\\=2\\\\g(x) = x ^ 2 + 11\\\\g(7) = 7 ^ 2 + 11\\\\=49+11\\\\=60\\\\f(2) - g(7)=2-60\\\\=-58[/tex]
PLEAZEEE HELP ME PLS WILL GIVE BRAINLIEST
Answer:
2q+7r+8
Step-by-step explanation:
(q+3)+(q+2)+(7r+3)
Brainliest is very apprieciated!
At the bakery shop, each baker works at his or her own speed, making the same
number of cakes each day. Marissa makes 28 cakes in 2 weeks, Carlos makes 60
cakes in 20 days, and Shelby makes 5 cakes in 2 days.
When the shop owner graphs the relationship between the number of cakes
made and days, who has the steepest graph? Explain.
Answer:
Marissa = 28 cakes in 2 weeks
Carlos = 60 cakes in 20 days
Shelby = 5 cakes in 2 days
To compare, make sure that the variables are of equal value
Marissa = 28 cakes in 14 days
Carlos = 60 cakes in 20 days
Shelby = 5 cakes in 2 days
How many cakes does each of them bake in a day?
Marissa = 28 ÷ 14
= 2 cakes/day
Carlos = 60 ÷ 20
= 3 cakes/day
Shelby = 5 ÷ 2
= 2.5 cakes/day
Carlos has the steepest graph. This is because he has the largest number of cakes made per day compared to Marissa and Shelby.
there is a drawing with students name in a bag. there are 13 girls and 12 boys.what is the probability of drawing a girl's name and then a boys if the tickets are not put back in the bag?
Answer:
13 in12
Step-by-step explanation:
determining end behavior and intercepts to graph a polynomial function
Answer:
Step-by-step explanation:
(b). ( x , 0 )
Zero where the graph crosses the X-axis: 1
Zero where the graph touches, but does not cross the X-axis: ( - 1 )
(c). ( 0, y )
- ( 0 + 1 )²( 0 - 1 ) = 1
Which of the following expressions are equivalent to 40x+30y choose all that apply
Answer:
1,390 I think that's the answer
Step-by-step explanation:
hope that helps
The expression equivalent to 40x + 30y are 5(8x + 6y), 10(4x + 3y) and 2(20x + 15y).
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given are some expressions in the options.
Distributive rule says that,
a ( b + c ) = (a b) + (a c), where a, b and c are any numbers.
5x(8 + 6) = 5x(14) = 70x
5(8x + 6y) = 40x + 30y
10(40x + 30y) = 400x + 300y
10(4x + 3y) = 40x + 30y
2y(20x + 15) = 40xy + 30y
2(20x + 15y) = 40x + 30y
Hence the expressions which are equivalent to 40x + 30y are 5(8x + 6y), 10(4x + 3y) and 2(20x + 15y).
Learn more about Expressions here :
https://brainly.com/question/21751419
#SPJ2
The complete question is :
Which of the following expressions are equivalent to 40x+30y. Choose all that apply.
5x(8 + 6)
5(8x + 6y)
10(40x + 30y)
10(4x + 3y)
2y(20x + 15)
2(20x + 15y)
If the mean of 16‚20‚25 and p is 20.Find the value of p.
Morgan says that the absolute value of -8 is greater than the absolute value of 7. Do you agree with Morgan? Explain.
Answer:
Yes I agree with Morgan
Step-by-step explanation:
The absolute value of a number is its positive distance from 0. Therefore, -8 is 8 units away from 0 while 7 is 7 units away from 0. Since 8>7, then Morgan is correct in his statement.
please help me !!! omaths student see the attached question
Answer:
34.64m
Step-by-step explanation:
Tan30= x(height) /60
x=60tan30
=34.64m
After heating up in a teapot, a cup of hot water is poured at a temperature of 203°F.
The cup sits to cool in a room at a temperature of 72°F. Newton's Law of Cooling
explains that the temperature of the cup of water will decrease proportionally to the
difference between the temperature of the water and the temperature of the room, as
given by the formula below:
T = Ta +(T. -T.)e-kt
To = the temperature surrounding the object
To = the initial temperature of the object
t = the time in minutes
T = the temperature of the object after t minutes
k=decay constant
The
cup of water reaches the temperature of 183°F after 2.5 minutes. Using this
information, find the value of k, to the nearest thousandth. Use the resulting
equation to determine the Fahrenheit temperature of the cup of water, to the
nearest degree, after 5 minutes.
Answer:
asd
Step-by-step explanation:
Write the percent as a fraction or mixed number in simplest form. 72.5
Answer: 72 1/2 or 725/10 as mixed number
Step-by-step explanation:
Answer:
72.5/100
Step-by-step explanation: Write down the percent divided by 100, then multiply both top and bottom by 10 after the decimal point, after you multiplied you will get 752/10 then simplify which the simplest form is 145/2 you with then have an improper fraction and it will be 72 1/2
–7(2.3y − 2) simplified
Answer:
-16.1y + 14
Step-by-step explanation:
–7(2.3y − 2)
=> -16.1y + 14
Therefore, -16.1y + 14 is the simplified form.
Hoped this helped
[tex]GeniusUser[/tex]
Answer:
53
Step-by-step explanation:
sorry if im incorrect
write y= - 4x on a graph
HELP ME WITH THIS PLEASEEE !
Answer:
38.525 in²
Step-by-step explanation:
The area formula for a triangle is useful here.
A = 1/2bh . . . . . . b=base length; h=height
A = 1/2(11.5 in)(6.7 in) = 38.525 in²
The area is 38.525 square inches.
PLEAS ASAP
i wanna sleep
im young
30 POINTS
Answer:
325.5 i think
Step-by-step explanation:
Plot the value(s) on the number line where this function is equal to zero: fx) = (x + 5)(x - 1).
Answer:
x = - 5, x = 1
Step-by-step explanation:
let f(x) = 0 , that is
(x + 5)(x - 1) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 1 = 0 ⇒ x = 1
Plot the points - 5 and 1 on the number line
A 7-pound bag of cat food costs $13.93. What is the unit price?
Answer:
$1.99 is the unit price
Step-by-step explanation:
13.93 divided by 7 determines the unit price
NPM = __?__
Less than BAC
Less than CAB
Less than BCA
Less than ABC
A triangle has sides with lengths of 4 meters , 5 meters, and 7 meters . Is it a right angle ?
Answer:
No
Step-by-step explanation:
im wasting so many points on these
help please
Hello, again!! :p
I'm not sure about the whole equation because I was taught to solve it in a different way and I got the answer =3 ± i√ 6 ,not a -3.
Sorry, I'm not sure if that was much help!
Solve for x : 3x - 24 = 81
Answer:
3x - 24 = 81
3x = 81 + 24
3x = 105
x = 105 / 3
x = 35
Step-by-step explanation:
At 7 P.M., a burning candle is 16 inches tall. At 9:30 P.M., the candle is only 3.5 inches tall. At what rate is the height of the candle decreasing?
Answer: 5 inches per hour or 2.5 inches per half an hour
Step-by-step explanation:
Amount of Time Passed: 2 hours 30 minutes
Difference in Candle Height: 12.5 inches
12.5 / 2.5 = 5 inches
5 inches per hour or 2.5 inches per half an hour
If it is incorrect, please let me know.
Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days?
A. y = -2x + 30
B. y = 2x + 30
C. y = -2x - 30
D. y = 2x - 30
From the computation done, the linear equation that represents the information given will be A. y = -2x + 30.
From the information given, we're told that Yuson must complete 30 hours of community service and that she does 2 hours each day.
Therefore, the linear equation that represents the hours Yuson has left after x days will be represented thus:
y = 30 - (2 × x)
y = 30 - 2x
y = -2x + 30
Learn more about equations on:
https://brainly.com/question/13763238
Y= 3x — 5 what is the slope and y-intercept
Can someone please help me on this?
Correct Answer = 15 pts and Brainliest
Step-by-step explanation:
you can clarify on that please
Answer:
[tex]5xy^4[/tex]
Step-by-step explanation:
[tex]\frac{15x^3y^5}{3x^2y}[/tex]
= [tex]\frac{3\cdot \:5x^3y^5}{3x^2y}[/tex]
= [tex]\frac{5xy^5}{y}[/tex]
= [tex]5xy^4[/tex]
A couple of friends decide to race each other. Liam can run 5 meters per second, and Grace
can run 8 meters per second. Because he is slower, Liam also gets a head start of 12 meters.
Shortly after they start running, Grace will catch up to Liam. How far has Grace run at that
time? How long will that take?
Answer:
32 m
4 sec
Step-by-step explanation:
just trust me i did the math
Answer:
i agree with the other person
Step-by-step explanation:
how do you solve 9-3(5-4x)
Answer:
-6+12x
Step-by-step explanation:
9-15+12xmultiply -3(5-4x), calculate the difference
-6+12x
6. Solve each equation by graphing. Round to the nearest tenth.
x2 - 6x= -8
The answer is for this question is A