The factor of [tex]x^3 -7x + 6[/tex] is (x - 1) (x +3) (x -2).
Now, According to the question:
The given expression to be factorized is :
[tex]x^3 -7x + 6[/tex]
This can be written in the form:
[tex]x^3 -7x + 6[/tex] = [tex]x^3[/tex] - (1 + 6)x + 6
[tex]x^3 -7x + 6[/tex] = [tex]x^3[/tex] -x - 6x + 6
Take common 'x' from the first two terms and -6 from the last two terms. Then we have,
[tex]x^3 -7x + 6[/tex] = x([tex]x^2 -1[/tex]) -6 (x -1)
= x{ [tex](x)^2 - (1)^2[/tex] } - 6(x -1)
= x(x +1) (x -1) - 6(x -1)
Finally, Take common (x -1) from the above expression:
[tex]x^3 -7x + 6[/tex] = (x -1) {x(x +1) - 6}
= (x -1) [tex](x^{2} +x-6)[/tex]
= (x -1)([tex]x^{2}[/tex]+3x -2x -6)
= (x - 1) (x (x +3) -2 (x +3))
= (x - 1) (x +3) (x -2)
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The complete question is this:
Which is the factor of [tex]x^3 -7x + 6[/tex]
1. x(x -6) (x -1)
2. [tex](x^{2} -6)[/tex] (x -1)
3. (x + 1) (x + 2) (x +3)
4. (x - 1) (x +3) (x -2)
Question 5 1 To get from my home to my school, I travel approximately 4.1 miles east, then approximately 4.7 miles north. What is the approximate distance from my home to my school, rounded to the nearest tenth of a mile? * School Distance Home 90°
Answer:
I hope you find the answer
Mitch is making some bread dough. To make the bread dough, Mitch uses 5 1/2 cups of wheat flour, 1 3/4 cups of rice flour, and 2/3 cup of white flour. How many cups of flour, in total, does Mitch use? Show or explain all your work.
Answer: 7 11/12 cups of flour
Step-by-step explanation:
The number of cups of flour in total that Mitch uses will be gotten by adding the values for the cups for each type of flour that's used. This will be:
= 5 ½ + 1¾ + ⅔
= 5 6/12 + 1 9/12 + 8/12
= 6 23/12
= 6 + 1 11/12
= 7 11/12 cups of flour
Is (0, 0) a solution to the equation y = 9x?
(0, 0) is a solution to the equation y = 9x
Given the equation y = 9x, we are to determine whether (0, 0) is a solution to the equation
To do that, we will substitute x = 0 into the expression and determine if the value of y is 0.
If x = 0
y = 9x
y = 9(0)
y = 0
Since the resulting value of y is zero, hence (0, 0) is a solution to the equation y = 9x
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Help this is due in 2 minutes
Answer:
The percentage change each year is 2%
Step-by-step explanation:
Generally, we can have an exponential equation written as;
f(t) = I( 1 + r)^t
where f(t) is the value at a certain time
I is the initial value at t = 0
r is the growth rate
t is the time we are looking at
Thus, we have it that;
1.02 = 1 + r
r = 1.02 -1
r = 0.02
So, let us write 0.02 as a percentage
We have this as 2/100 which is the same as 2%
The percentage change each year is 2%
someone please help me
Answer:
Ok it might take a bit but I'll help:))
Step-by-step explanation:
matt and anglela have 40$ together angela has 5more$ than matt how much
money does matt have
the cost of a school banquet is $95 plus $15 for each person attending. Write an equation that gives total cost as a function of the number of people attending. What is the cost for 77 people?
Answer:
equation: y=15x+95
it would cost $1250
Answer:
f(x) = 95 + 15x
Cost for 77 people = $1250
Step-by-step explanation:
15 x 77 = 1155
1155 + 95 = 1250
a cylinder with a height of 6 km has a volume of 384 km, what is the radius?
Answer:
Step-by-step explanation:
V = π r^2 h so 384 = r^2 (6)
384/6 = r^2 so
64 = r^2
8 = r
Please help
40 points
Answer:
44.11
Step-by-step explanation:
you can use SOH-CAH-TOA to find the answer.
T has adjacent and hypotenuse shown in the figure.
thus you can write it as,
[tex]cos(x) = 28 \div 39[/tex]
[tex]x = cos^{ - 1} (28 \div 39)[/tex]
[tex]x = 44.11[/tex]
(you can round the answer differently )
How do you write 8.317 x 10^6 in standard form?
Answer:
[tex]8,317,000[/tex]
Step-by-step explanation:
[tex]8.317\times10^6[/tex]
Rewrite 10^6:
[tex]10\times10\times10\times10\times10\times10[/tex]
Solve:
[tex]8.317\times(10\times10\times10\times10\times10\times10)\\=8,317,000[/tex]
8,317,000 is your final answer!
Simplify the expression by combining like terms.
Write the terms from the highest to the lowest
power of the variable.
Answer:
19y² - 6y - 8
Step-by-step explanation:
4y² + y² - 3y - 6 + 14y² - 2 + 4y - 7y
4y² + y² + 14y² - 3y + 4y - 7y - 6 - 2
19y² - 6y - 8
Answer:
19^2-6y-8
Step-by-step explanation:
4y^2+y^2-3y-6+14y^2+4y-7y
4y^2+y^2+14y^2-3y+4y-7y-b-2
Answer: 19y^2-6y-8
Hope it helps....
Have a great day!! :)
What is the total of club seats? If club seats are
8% of the total? and total is 5,000
please help!
Answer:
From what i've understood the answer is 400
Step-by-step explanation:
Solve this equation.
Answer:
1,220,703,125
Step-by-step explanation:
Honestly don't know how to explain this in any other way than just saying put it in a calculator. Sorry. :p
Answer:
1,220,703,125
Step-by-step explanation:
5^2=25
25^4=390,625
5^5=3,125
390,625 x 3,125= 1,220,703,125
8-7 test prep (will give brainliest!!!)
Answer54: A, 55: G, 56: D
Step-by-step explanation:
Answer:
54. 2cm
55. between 6 and 7
56. two irrational numbers
Step-by-step explanation:
can someone help me :)
Answer:
-61 degrees F
Step-by-step explanation:
HELP ME PLEASE Graph the linear equation
Answer:
Hi! The answer is in the pictures!!
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Someone help me & extra points also brainlest!
Answer:
C: (2x-10)
Step-by-step explanation:
(4x - 3) - (2x + 7)
In -(2x+7), think of it as -1(2x+7) which is equal to:
-1*2x + -1*7 =
-2x - 7
Now we add this to 4x-3
4x - 3 - 2x - 7
Combining like terms gives us:
2x - 10
Please help!! Brainlyest!!
2. The table below shows the amount that a catering company charges based on the
number of people at an event. Which of the following equations shows the
relationship between c, the amount the company charges based on p, the number of
people at the event?
People (p)
F. c = 16p
25
G. C = 75p + 13
50
Total Charge (c)
$400
$725
$1,050
$1,375
75
H. p = 13c + 75
100
J. c = 13p + 75
Answer:
The answer is j
Step-by-step explanation:
The equations shows the relationship between c and p is p= 13c + 75.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have table which shows amount that a catering company charges based on the number of people at an event.
So, the equation that can framed from the table as
(y- 400)= (725- 400) / (50-25) . (x-25)
y- 400 = (325/ 25) (x-25)
y-400 = 13(x-25)
y-400 = 13x - 325
y = 13x - 325 + 400
y= 13x + 75
or p = 13c+ 75
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Plss I need this answer....pls help me. Explain this question and answer it.
Answer:
Figure three is the odd one out
Step-by-step explanation:
it is different from the other figures. The other figures are all the same, they're just rotated. Figure three is different from all of them though
A group of friends wants to go to the amusement park. They have no more than $150
to spend on parking and admission. Parking is $8, and tickets cost $17.75 per person,
including tax. write an inequality representing p,
the number of people who can go to the amusement park.
Answer: 17.75p + 8 ≤ 150 OR p ≤ 8
Step-by-step explanation:
Find the volume of the cylinder. Leave your
answer in terms of pi.
8 cm.
8 cm.
thank you thank you thank you thank you thank you thank you thank
Answer:
N = number of guests
N = (150 ± 30)/25
maximum N = 180/25 = 7 maximum
minimum N = 120/25 = 4 minimum
WRITE A NUMERICAL EXPRESSION !! Find triple the difference between 44.75 and 22.8 HELP ME GUYS IM TIMED RIGHT ANWSERS ONLY GUYS PLZZZ
Answer:
65.85
Step-by-step explanation:
44.75-22.8=21.95
21.95×3=65.85
HEYYYY YOU YEA YOU!!!
whoever can come up with the best sentence to relate to this will get BRAINLIEST
Who here is sad because they hate school and school gives them depression because of the amount of work and because they are tired of seeing idiots around them and their whole existence just annoys you and sometimes you even imagine yourself running them over with a bus because they cant comprehend the fact that you just want them to rot in hell for all eternity for example they could just breath and then you give them the "stank look".....or is it just me....its not just me right?????
Answer:
I think that school is somewhat fun, now it is just straight up boring, and yeah sometimes I feel like there are not smart people, and there are weird people, so annoying, I wish they aren't there a lot, but hey, if you can, listen to music, and maybe make some time to do what you like so you can forget about school for a little and relieve your stressssss
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
X=3
Step-by-step explanation:
Hope this helps and have a wonderful day!!!
please can u give me this answer ☹️
Answer:
the second one
Step-by-step explanation:
Hello There!
The area of a triangle can be found using this formula
[tex]A = \frac{1}{2} (a+b)h[/tex]
where a and b = bases and h = height
The trapezoid shown has the following dimensions
top base = 9cm
bottom base = 14 cm
height = 12 cm
slant height = 13 cm
using this information, we plug in the values into the formula
So [tex]A = \frac{1}{2} (9+14)12[/tex]
the equation we created matches the 2nd equation therefore the second one is your answer
Aaron bought a stereo system for $55 and spends $8.45 on parts. He sells the system for
$60. What is his profit/loss?
Answer:
his loss is $3.45
Step-by-step explanation:
you just add then subtract
please help no links thank u :)
Answer:
question wdym by links?
Step-by-step explanation:
Baseball player wants to hit a baseball over the fence the fence is 25 feet tall baseball players 52 feet away from the fence at what angle must a baseball player hit the ball in order for it to go over the fence
Answer:
75 degree angle
heart if this helped :3