We have:
[tex]x(x^{2} +2x+4) - (x^{2} +2x+4).2 =0\\<=>(x^{2} +2x+4)(x-2)=0\\<=>x^3-8=0 \\<=>x^3=8\\<=>x^3=2^3\\<=>x=2[/tex]
ok done. Thank to me :>
what is the domain of f? khan academy
Answer:
x cannot = -2
Step-by-step explanation:
if x = -2 then the denominator is 0 and a fraction with 0 as a denominator is undefined.
Answer:
A
Step-by-step explanation:
f(x) = [tex]\frac{x-3}{x+2}[/tex]
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be.
x + 2 = 0 ⇒ x = - 2 ← excluded value in the domain
The domain of f(x) is all real values of x such that x ≠ - 2
twice the sum of the number and 10 is 60 what is the number?
Let the number be n
[tex]\\ \sf\longmapsto 2(n+10)=60[/tex]
[tex]\\ \sf\longmapsto n+10=60/2[/tex]
[tex]\\ \sf\longmapsto n+10=30[/tex]
[tex]\\ \sf\longmapsto n=30-10[/tex]
[tex]\\ \sf\longmapsto n=20[/tex]
Is this right?
If not what is the answer
Answer:
yes it is correct
Step-by-step explanation:
3. You need to hire a taxi. Taxi A charges $9.25 plus $1.50 per mile. Taxi B charges $10.50 plus $1.25 per mile. Find the number of miles for which the total costs are the same for each taxi.
Answer:
five miles
Step-by-step explanation:
taxi A: for one mile: 10.75
taxi B: for one mile: 11.75
two miles: A: 12.25 B: 13
three miles: A: 13.75 B: 14.25
four miles: A: 15.25 B: 15.5
five miles: A: 16.75 B: 16.75
Three friends, Ayyub, Bran and Curtis, each have some mini chocolate eggs. Bran has 1 more egg than Ayyub. Curtis has 50% more eggs than Bran. Altogether, Ayyub, Bran and Curtis have 48 chocolate eggs. Curtis gives eggs to each of Ayyub and Bran so that they all have the same number of eggs. Work out how many eggs Curtis gives away in total.
Step-by-step explanation:
x = eggs of Ayyub
y = eggs of Bran
z = eggs of Curtis
x + y + z = 48
y = x + 1
z = 1.5y = 1.5(x + 1)
now we are using the second and third equation in the first :
x + (x + 1) + 1.5(x + 1) = 48
x + x + 1 + 1.5x + 1.5 = 48
3.5x + 2.5 = 48
3.5x = 45.5
x = 45.5/3.5 = 13
y = x + 1 = 13 + 1 = 14
z = 1.5(x + 1) = 1.5(13 + 1) = 1.5×14 = 21
for all three friends to have the same number of eggs, we need to split 48 into 3 equal parts : a division.
48/3 = 16
so, everybody should end up with 16 eggs.
therefore Curtis gives away 21-16 = 5 eggs in total (3 to Ayyub, 2 to Bran).
The Andromeda galaxy is 2.54 million (2.54x106) light years from earth. If light can travel 5.865 trillion (5.865x1012) miles in a
year then how many miles is the Andromeda galaxy from earth?
O 1.48971x1019
O 2.309055x106
3.325x106
O 8.405x1018
Answer: 1.48971 x 10^19
Step-by-step explanation: 1-light year is approximately 5.865 x 10^12 which is 5,865,000,000,000 kilometers or 6 trillion miles in 1-year. The Andromeda galaxy is indeed 2.54 million light-years from Earth which is the closest galaxy to our Milky Way Galaxy.
The best way to this is to put this into a scientific calculator. If it shows 1.48971E19, the E stands for exponent and the 19 next to the E stands to the 19th power. That is written as 1,489,710,000,000,000,000 miles!! from Earth. That's a lot of zeros. That's the reason scientific notation is used; to avoid all those zeros and express very small/large figures.
Hope this explanation helps.
Mrs. Martin bought a flat screen that originally costs $220.00. If her coupon was for 30% off.
Answer:
66$
Step-by-step explanation:
[tex]300 \times \frac{30}{100} = 66[/tex]
the students at Walden Middle school are selling tins of popcorn to raise money for new uniforms. they sold 42 tins in the first week. how much money did they make in the first weeks
Answer:
$388.50
Step-by-step explanation:
9.25 * 42 = $388.50
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answer:y =3 x=1 hope this helps :)
Step-by-step explanation:
Maria walks 2 laps in 5 minutes and then runs 2 laps in 3 minutes. If she continues to alternate walking and running at the same paces, how many laps will she complete in 16 minutes?
Answer:
8 laps
Step-by-step explanation:
every 8mins 4 laps are run
Maria completed a total of 8 laps in 16 minutes.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Maria who walks 2 laps in 5 minutes and then runs 2 laps in 3 minutes.
Assume that she completes [x] laps in 16 minutes.
x = L[walking] + L[Running]
x = (2 + 2) + (2 + 2)
x = 8
Therefore, Maria completed a total of 8 laps in 16 minutes.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
what are the answers to the equation please get back to me
Answer:
A
Step-by-step explanation:
Since you are multiplying -2 and 12, you can put them in any order as long as you get - 24/5
What is the length of the line?
Answer:
5.4
Step-by-step explanation:
You need to use the Pythagorean theorem and if you know that the base is 2 and the height 5 then you got 5.4
A recipe for banana bread calls for 5 1/4 cups of flour to make 3 loaves of banana bread. how much is used to make 1 loaf of bread?
Answer:
1 3/4
Step-by-step explanation:
Please graph as this coordinate plane is. Thank you
Answer:
hope this helps :)
On the most recent math test, Ashley
answered 23 of the questions
correctly. If she scored 92%, how
many questions were on the test?
Answer:
25 questions total
Step-by-step explanation:
I hope this helps!
I do not understand
[tex]\huge \sf༆ Answer ༄[/tex]
Here's the solution ~
[tex] \sf \dfrac{5 {}^{6} }{5 {}^{1} } [/tex][tex] \sf 5 {}^{6 - 1} [/tex][tex] \sf {5}^{5} [/tex]5y+4x=10.51 8y+3x=10.39
Answer:
(x, y) = (1.89, 0.59)
Step-by-step explanation:
Written in general form, the equations are ...
4x +5y -10.51 = 0
3x +8y -10.39 = 0
These can be solved using the cross-multiplication method to find ...
∆1 = (4)(8) -(3)(5) = 17
∆2 = (5)(-10.39) -(8)(-10.51) = 32.13
∆3 = (-10.51)(3) -(-10.39)(4) = 10.03
Then the values of the variables are ...
x = ∆2/∆1 = 32.13/17 = 1.89
y = ∆3/∆1 = 10.03/17 = 0.59
The solution is (x, y) = (1.89, 0.59).
A line with a slope of -3 passes through the points (9, r) and (10, 3). What is the value of r? r
Answer: The value of R is 6.
Explanation: I recommend you go to these two links for an easier understanding:
https://www.wikihow.com/Find-the-Y-Intercept
https://www.wikihow.com/Find-the-X-Intercept
Plzzzzz help meeee plzzzzzzz plzzz
Answer:
try 20%
Step-by-step explanation:
Sixteen is 64% of what number?
A. 12
B. 48
C. 32
D. 25
Answer:
D. 25
Step-by-step explanation:
16 divided by 64% is 25
Answer:
25
Step-by-step explanation:
Hope I helped you.
What is the slope of a line that passes through (2, 4) and (3, 8)
please help asap !!
Solve the system of equations 2x + 3y = 40 and -2x + 2y = 20 A.x = 10 , y = 20 B. x=-10 , y = 20 C. x = -6 , y = 4 D. x = 2 , y = 12
Answer:
D is answer
Step-by-step explanation:
-2x + 2y = 20
2x = 40-3y
so -(40-3y)+2y =20
-40+3y+2y = 20
5y = 60
y = 12
2x = 40-3y
2x = 40-3(12)
2x = 40-36
2x = 4
x = 2
so x = 2 , y = 12
dont want to fail gosh please help
Answer:
11X + 3 is correct
Step-by-step explanation:
first add the 9x and 2x= 11x
and then -2 + 5 = 3
Thus 11x + 3
Please Mark as brainliest
6x-36+120=180
what is the value of x, in degrees?
A wedding venue holds no more than 185 guests. If 319 people have said they are attending, how many more people does the venue have room for?
Answer:185 guests
Step-by-step explanation: it can only hold 185 guests no more.
John gets his haircut at Billy's Barbershop. The barbershop charges $25 for a haircut. John has a 20% off
coupon for his birthday. After the discount is applied, John tips Billy 18%. How much does John spend in total at
the barbershop?
amount
% = new
amount
25
20
Answer:
John spends $23.60 at the barbershop.
Step-by-step explanation:
convert all % to decimals (/100)
0.2 x 25 = 5
25 - 5 = $20
0.18 x 20 = 3.6
20 + 3.6 = $23.6
Help please please!!!
Write the first three terms of the sequence defined by the recursive formula if a1=2.
a_n= a_n-1 / 4 - 2
The first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2
Given:
[tex]an = \frac{an - 1}{4} - 2[/tex]
where,
n = number of terms
First term, a1 = 2
Second term, a2
[tex]an = \frac{an - 1}{4} - 2[/tex]
a2 = {(2 - 1)/ 4} - 2
= 1/4 - 2
= (1-8) / 4
= - 7/4
Third term, a3
= {(3-1) / 4} - 2
= 2/4 - 2
= 1/2 - 2
= (1-4) / 2
= -3/2
Therefore, the first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2
Learn more about sequence:
https://brainly.com/question/6561461
Answer:
a1 = 2
a2 = -3/2
a3 = -19/8
Explanation:
a_n-1 means the last term.
So if a1 = 2, a2-1 is the same thing as a1, which is 2. So a2 = 2/4 - 2. a2 = -3/2
It's the same thing for a3. a3-1 is just the last term, which is a2, -3/2. So a3 = (-3/2) / 4 - 2. a3 = -19/8
help me please!!!!
please be quick!!
Answer:
40m^2 e
Step-by-step explanation:
Helena is planning to put new tile on her kitchen floor, the
dimensions of which are given above. Find the area, in square
feet, of the kitchen floor.
A. 58
B. 31,680
C. 356
D. 276
Answer: B
Step-by-step explanation: