x³ + y³ = (x + y)(x² - xy + y²)
x³ - y³ = (x - y)(x² + xy + y²).
Proof for 1st Identity :
★ x³ + y³ = x (x² - xy + y²) + y(x² - xy + y²)
⟶ x³ + y³ = x³ - x²y + xy² + x²y - xy² + y³
⟶ x³ + y³ = x³ + y³
Proof for 2nd identity :
★ x³ - y³ = x(x² + xy + y²) - y(x² + xy + y²)
⟶ x³ - y³ = x³ + x²y + xy² - x²y - xy² - y³
⟶ x³ - y³ = x³ - y³
For example,Let us assume that,
x = 1
y = 2
So,
✯ x³ + y³ = 1³ + 2³
⟹ (x + y)(x² - xy + y²) = 1 + 8
⟹ (1 + 2)(1² - (1)(2) + 2²) = 9
⟹ 3 * (1 - 2 + 4) = 9
⟹ 3 * 3 = 9
⟹ 9 = 9
✯ x³ - y³ = 1³ - 2³
⟹ (1 - 2) * (1² + (1)(2) + 2²) = 1 - 8
⟹ ( - 1) * (1 + 2 + 4) = - 7
⟹ ( - 1) * (7) = - 7
⟹ - 7 = - 7
Thus , they can be called as identities/formulae as they are very useful in finding the value of a certain equation or an expression easily.
I hope it will help you.
Regards.
Identify the number of terms in this polynomial.
5k^5+7k-2
Answer:
cuatro terminos
T = CB-5, for C
C=
What’s the answer
Answer:
C=t/b + 5/b
Step-by-step explanation:
Please make me Brainliest
The ratio of 6th graders to 7th graders in a class of 35 students is 3:4. How many more 7th graders than 6th graders are in the class?
Pls help!
Answer:
5 7th Graders
Step-by-step explanation:
Multiply 5 to 3 and 4 and add them up and you get 35. Then subtract 20-15=5 7th Graders
What is the domain of f(x)?
O {xl-4
O {xl-3 < x < 4}
O {x|1 < x < 4}
O {x|2 < x < 4}
⚠️HURRY⚠️
write an equation that matches this graph in Slope-Intercept Form
Answer:
y = -1/4x+2
Step-by-step explanation:
Answer:
y = -1/4x + 2
Step-by-step explanation:
We can tell that the line passes trough the point (0, 2), so the y-intercept is 2.
Let's calculate the slope by using rise over run. We see for every one unit down, it goes 4 units to the right. It also goes downward, so the slope is negative. So the slope is -1/4. Put it together...
y = -1/4x + 2
Hope this helps!
A rectangular table measures 3 feet by 4 feet. Andres rotates the the table a quarter-turn clockwise. What is the length in feet of the shorter side of the table after the rotation?
Answer:
3 ft
Step-by-step explanation:
A certain test is scored by adding 1 point for
each correct answer and subtracting 1/4 of a
point for each incorrect answer. If Jan answered
31 questions correctly and 9 questions incor-
rectly, what was her score?
a. 28 3/4
b. 28 1/4
c. 26
d. 22 1/4
Answer:
A
Step-by-step explanation:
31 correcct answers gives her 31 points, then you subtract 9/4 for the 9 incorrect answers to get twenty eight and 3/4
3 Comcast charges $50 per month for basic cable and $5.00 for each premium movie channel. Xfinity charges $41 per month for the same cable package and $6.50 for each premium movie channel. B. Write an inequality to represent how many movie channels a customer needs to purchase from Xfinity Cable to pay at least as much as a Comcast subscriber.
Answer:
18Step-by-step explanation:
let us model the cost
let the cost be y and the number of movie channel be x
for 3 comcast
y=50+5x-----1
and for Xfinity
y=41+6.5x-------2
to solve for the number of movie channel so that the two (3 comcast and Xfinity) will pay the same, we need to equate 1 and 2
50+5x=41+6.5x
50-41=6.5x-5x
9=0.5x
x=9/0.5
x=18
What is the simplified fractional equivalent of the terminating decimal 0.32?
It’s 8/25
Answer:
yes
Step-by-step explanation:
8/25= 0.32 which is a terminating decimal
Answer: 8
Over
25
Step-by-step explanation:
when solving the equation x3 = 22.
Answer:
x=7 1/3
Step-by-step explanation:
How many 1/3 cup servings are in a 12-cup container of juice?
Answer:4
Step-by-step explanation:i guess because 4 time 3 if im wrong then 1b time s 12
Find the arc length
Answer:
5π
Step-by-step explanation:
Arc length = 1/4 * circumference
Circumference = 2*pi*r = 2*pi*10 = 20pi
Arc length = 1/4 * 20pi = 5pi
Tehara has read 115 pages of a 305 page book she reads 10 pages each day how many days will it take to finish
Answer:
19 days
Step-by-step explanation:
305-115=190 190/10=19
If window washers can wash 15 windows in 18 minutes, how long will it take them to wash 10,00
Answer:
1200
Step-by-step explanation:
15/18 * 1000/x
x = 1200
Answer:
1200 minute / 20 hour
Step-by-step explanation:
[tex]1000 \times 18 = 18000[/tex]
[tex]18000 \div 15 = 1200[/tex]
Is there a way to rewrite this? It asked me to create an equation, and I did: 180([tex]x^{2}[/tex]). I checked it and it said it was wrong, however, I used the same equation to get the answer for the second question and it was correct. I thought that maybe there was another way to write the equation, so I used the equation [tex]\frac{y2-y1}{x2-x1}[/tex] and had no luck. Is there a way to write it that I don't know about?
Step-by-step explanation:
Hope this helps, and sorry for the image, my phone is glitchy.
cheers!!!
Solve the following inequality: 2x^2 + x - 1/x^2-x<1
Answer:
−1<x<0 or 0<x<1
Step-by-step explanation:
Answer:
I believe it is : -1 < x < 0 OR 0 < x < 1
Or if you want it in interval notation form:
(-1, 0) ∪ (0, 1)
Step-by-step explanation:
hope this helps, lol! <3
Which one of the relationships described is not proportional?
a.
Cedrick earns $9.75 for each day he pet-sits; is the relationship between the money he earns and the days he works proportional?
b.
Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?
c.
The length of the side of a square and its perimeter; is the relationship between the measurements proportional?
d.
A car travels at a constant speed of 35 miles per hour is the relationship between the distance and the time proportional?
Answer:
Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?
Step-by-step explanation:
i just did it
Solve the following absolute value equation
| x+5 | = 11
Answer:
X is 6 or -6
Step-by-step explanation:
In absolute value it makes everything positive
Answer:
x = 6
Step-by-step explanation:
Simplify: x + 5 = 11Subtract 5 from each side, so it now looks like this: x = 6I hope this helps!
need answer asap Whole numbers: ___ + ___ + ___ = _____ cups of soup mix.
Answer:
1+2+3=6 lol jk i dont have the numbers that they gave you
Step-by-step explanation:
Multiply. Use the greatest common factor to write each answer in simplest form. 32 x 3/8
Answer:
12
Step-by-step explanation:
Select all the zeros of the function f(x)=(x+10)(x−5)(x+1).
CHOICES - SELECT ALL THAT APPLY:
-10
-5
-1
0
1
5
10
SHOW YOUR WORK
Answer:
-10, -1, 5
Step-by-step explanation:
The zeroes of the function are -
x = -10, 5, -1
We have the following function -
f(x) = (x + 10)(x − 5)(x + 1)
We have to determine its zeroes.
Find the Zeroes of thee function -f(x) = (x + a)(x + b)In order to find the zeroes of the function, equate f(x) = 0.
(x + a)(x + b) = 0
(x + a) = 0 or (x + b) = 0
x = - a or x = -b
Zeroes = -a , -b
According to question, we have -
f(x) = (x + 10)(x − 5)(x + 1)
Equate f(x) = 0
(x + 10)(x - 5)(x + 1) = 0
(x + 10) = 0 or (x - 5) = 0 or (x + 1) = 0
x = -10 x = 5 x = -1
Hence, the zeroes of the function are -
x = -10, 5, -1
To solve more questions on Zeroes of function, visit the link below -
https://brainly.com/question/12492261
#SPJ6
Evaluate
p
+
(
−
q
)
−
2
p
A line passes through the point (-2, 7) and has a slope of -5.
What is the value of a if the point (a,2) is also on the line?
Answer:
-1
So the answer would be (-1, 2)
Hopefully, this is correct, sorry if not.
Which graph represents an exponential growth function? On a coordinate plane, a line rapidly decreases and then levels off. On a coordinate plane, a line increases gradually. On a coordinate plane, a line decreases gradually. On a coordinate plane, a line is level and then curves upwards rapidly.
The answer is On a coordinate plane, a line is lever and then curves upwards rapidly (D).
The graph that represents an exponential growth function is (d) on a coordinate plane, a line is level and then curves upwards rapidly.
What are exponential functions?Exponential functions are functions that are defined as [tex]y = ab^x[/tex]
Where:
b represents the ratea represents the initial valueAssume that a has positive value, and the b is greater than 1.
Then it means that, the function is an exponential growth function.
An exponential growth function that has a positive initial value will start with a level line, then curve up
Hence, the graph that represents an exponential growth function is (d)
Read more about exponential growth function at:
https://brainly.com/question/13223520
8 to the 4th power times 2 divided by 8 to the eleventh power
Answer:
17179869191.3 (really i used a calculator, it was too hard)
Step-by-step explanation:
8^4 is 4096
2/8 is .25
.25^11 is 2.38418579e-7
4096/2.38418579e-7
17179869191.3
Select True or False. The expression 3x − 4(2x − 5) is equivalent to the expression 20 − 5x. True False
Answer:
true
Step-by-step explanation:
3x − 4(2x − 5)
Distribute
3x - 8x +20
-5x +20
20 -5x
This is equal to 20 -5x
Answer:
The answer would be true.
Step-by-step explanation:
Hope this help and I took the test and got this correct! :)
What is the slope of the line whose equation is y-4=(x-2)?
6
S
3 2
1
-5-5-32
+
23
5 x
2719 2
Answer:
1
Step-by-step explanation:
y-4=(x-2)
This equation is in point slope form
y-y1 = m(x-x1)
where m is the slope
The slope is 1
y - 4 = x - 2
y = x + 2
Slope-intercept form is y = mx + b, where m is the slope and b is a constant.
Here, m = 1 and b = 2. Therefore, the slope is 1.
Hi I need help :( Pls show your working..Will give brainliest for helpful answer
Answer:
number 10
dy/dx =(dy/dt).(dt/dx)
now find
dy/dt=4t-1. , dt/dx=1
so : dy/dx=(4t-1).(1)
dy/dx= 4t-1 ,we have x=t-3-----> t=x+3
subtitute at t
dy/dx= 4(x+3)-1=4x+12-1= 4x+11
The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x)=g(x) is true?
x=____
-1, it's fairly clear just from the table...
Answer:
-1
Step-by-step explanation:
Two negative consecutive integers have a sum of -39. What are the
integers?
Answer:
I think the integers are -19 and -20.
Step-by-step explanation:
Hope this helps!