Answer:
[tex]g\left(x\right)=x^3\:-\:4x^2\:-\:x\:+\:22[/tex] in the factored form will be:
[tex]g\left(x\right)=x^3-4x^2-x+22=\:\left(x+2\right)\left(x^2-6x+11\right)[/tex]Step-by-step explanation:
Given the function
[tex]g\left(x\right)=x^3\:-\:4x^2\:-\:x\:+\:22[/tex]
Use the rational root theorem.
[tex]a_0=22,\:\quad a_n=1[/tex]
[tex]\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:11,\:22,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1[/tex]
[tex]\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:2,\:11,\:22}{1}[/tex]
[tex]-\frac{2}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+2[/tex]
[tex]=\left(x+2\right)\frac{x^3-4x^2-x+22}{x+2}[/tex]
as
[tex]\frac{x^3-4x^2-x+22}{x+2}=x^2-6x+11[/tex] ∵ [tex]x^3-4x^2-x+22=\left(x+2\right)\left(x^2-6x+11\right)[/tex]
so the expression becomes
[tex]x^3\:-\:4x^2\:-\:x\:+\:22=\left(x+2\right)\left(x^2-6x+11\right)[/tex]
Therefore,
[tex]g\left(x\right)=x^3\:-\:4x^2\:-\:x\:+\:22[/tex] in the factored form will be:
[tex]g\left(x\right)=x^3-4x^2-x+22=\:\left(x+2\right)\left(x^2-6x+11\right)[/tex]
3
The slope of the line that passes through the points (0,3) and (5, 13) is
Math standard form. help!
Answer:
y=mx+b is slope-intercept form
Ax+By=C is standard form.
IN y=mx+b, m represents the slope and B represents the y intercept.
To switch from standard form to slope-intercept form all we need to do is get y alone. thats it. By folowing these steps:
-6x+5y=-30
-6x+6x+5y=-30+6x - this cancels the x on the left side of the equation bringing us one step closer to getting y alone
5y=-30+6x
5y / 5=(-30+6x) / 5 -this last step leaves y alone and brings us to slope intercept form.
y=-6+30x
y=30x-6 - i switched the 30x and 6 because y=mx+b not y=b+mx
y=30x-6
SInce m represents the slope and b represents the y itnercept, 30 is the slope and -6 is the y intercept
30=m(slope)
-6=b(y-intercept)
Btw because the slope is 30 it means the line with point like so: / since it has a positive slope.
Hope this helps!
Step-by-step explanation:
A football team has a total of 800 jerseys. There are 6 medium size jerseys. What is the percentage of medium size jerseys?
B is between A and C. If AC = 31, AB = x–6, and BC = 2x+10, find the value of x. (Hint: Draw a picture.)
x =
Out of 60 people at the movies, 21 are kids. What percent are adults?
Answer: it is 65 % 39/60=13/20
Step-by-step explanation: because the kids are 21/60 and the adult are 39/60
Let n = 5.
What is the value of the expression 9n2−2−n?
Enter your answer in the box.
Answer:
9 (5) 2 - 2 - 5 = 83
Use the substitution method to solve the system of equations. Enter your
answer as an ordered pair.
x + y = 11
-X = -y-9
Answer:
Here ya go
Step-by-step explanation:
Examples: 1+2, 1/3+1/4, 2^3 * 2^2
(x+1)(x+2) (Simplify Example), 2x^2+2y a x=5, y=3 (Evaluate Example)
y=x^2+1 (Graph Example), 4x+2=2(x+6) (Solve Example)
69 or 420? ................
Answer:
420 ayeee
Step-by-step explanation:
Answer:
I meeeaaan, both are pretty good numbers ;P
Step-by-step explanation:
Lauren bought a television that cost $805. She plans to make equal payments of $38 each month until the television is paid in full. About how many payments will Lauren make?
If a function is defined by the formula y = 1/2 x + 3 and its domain is given by the set { -4,0,8}, then which set gives the functions range
Answer:
(-4, 8)
Step-by-step explanation:
Let F(x) = 4^x
The new fiction g(x) = f(x-1) +3
Write the new equation for g
PLEASE HELP (must show work) Show all work to factor x4 - 17x2 + 16 completely.
I like animals, what animals do you like?
Answer:
tigers
Step-by-step explanation:
Answer:
cats,bunnys,rabits,snakes,lizards,horses,dogs
Step-by-step explanation:
Jordan invests £700 into his bank account.
He receives 10% per year simple interest
How much will Jordan have after 3 years?
Give your answer to the nearest penny where appropriate
Answer:
Jordan will have $ 910.00 after 3 years
Step-by-step explanation
A sector of a circle of radius 80 mi has an area of 1600 mi2. Find the central angle (in radians) of the sector.
Answer:
The central angle of the sector is 0.5 radian
Step-by-step explanation:
given;
radius of the circle, r = 80 mi
area of the sector, A = 1600 mi²
Area of sector is given by;
A = ¹/₂r²θ
where;
θ is the central angle (in radians) of the sector
[tex]\theta = \frac{2A}{r^2}\\\\\theta = \frac{2*1600}{80^2}\\\\ \theta = 0.5 \ radian[/tex]
Therefore, the central angle of the sector is 0.5 radian
The central angle (in radians) of the sector is 28.66 degrees
The formula for calculating the area of a sector is expressed as:
[tex]A = \theta/360 \times \pi r^2[/tex]
Given the following parameters
radius r = 80mi
Area of sector A = 1600mi²
Substitute the given parameters into the formula
1600 = Ф/360 * (3.14)(80)²
1600 * 360 = 20,096Ф
Ф = 576000/20,096
Ф =28.66 degrees
Hence the central angle (in radians) of the sector is 28.66 degrees
Learn more here: https://brainly.com/question/12792310
Find the simple interest paid to the nearest cent for each principal, interest rate, and time.
$2,620, 3%, 5 years
Pleaseee help!!!
Step-by-step explanation:
You deposit some money into a bank account paying 4% simple interest per year. You received $72 in interest after 3 years. How much the deposit (principal) was?
Solve for the variable.
5t - 3 = 3t + 9
F
t = 6
G
t = 9
H
t = 3
J
t = 8
Answer:
F. t = 6
Step-by-step explanation
5t - 3 = 3t + 9
add 3t to both sides
2t - 3 = 9
add 3 to both sides
2t = 12
divide both sides by 2
t = 6
help me pleaseeeeee
Answer:
c
Step-by-step explanation:
0
The sum of three numbers is 10 The sum of twice the first number, 3 times the second number, and 4 times the third number is 27 The difference between 6 times
the first number and the second number is 35. Find the three numbers
first number
second number
third number
Answer:
vjbsvjbavljjvldbsef
Step-by-step explanation:
Karl bought 3 1/2 gallons of milk that cost $2.70 per gallon.
What was the total cost of the milk?
Answer:
The total cost would be $9.45
Step-by-step explanation:
List the first 5 Multipluls of 30
Answer:
30*1 = 30 - 1st
30*2 = 60 - 2nd
30*3 = 90 - 3rd
30*4 = 120 - 4th
30*5 = 150 - 5th
Above are the first 5 multiples of 30.
Answer:
30,60,90,120,and 150. I hope this helps:)
Step-by-step explanation:
Please help asap, 10 points
Answer:
3x^2
................
Solve "43 -
O a = 3/5
O a = 3/4 .
O a = 4/3
O a = 5/3
Answer:
the answer to this question is 4/3
Answer:
C 4/3
Step-by-step explanation:
you're welcome <3
Find the sum. 637,391 + 372,088 *
Answer:
1,009,479
Step-by-step explanation:
dude there 8a some thing called as a CALCULATOR
You are at a restaurant and the check comes to a total of $11. If you want to leave a 17% tip, how much total money should you pay, to the nearest cent?
Answer: $12.87
Step-by-step explanation:
$11 x .17 = $1.87
$11 + $1.87 = $12.87
How do you do this question?
Answer:
y(0) = 3
Step-by-step explanation:
This is solved by plugging in each option one by one, and seeing which one results in a positive value for dy/dt.
dy/dt = (4 − 1) (1 − 2²) = -9
dy/dt = (7 − 1) (1 − 1²) = 0
dy/dt = (1 − 1) (1 − 2²) = 0
dy/dt = (-4 − 1) (1 − 0²) = -5
dy/dt = (3 − 1) (1 − 0²) = 2
Only the last option fits.
I need it fasttttttt
5. Rex deposited $900 into an
account that earns 4% simple
interest. How many years will it
take for the value of the
account to reach $1,800?
Answer:
well, there is already $900 so 1800-900=900 now we need 4% of 900 which is $36 900 divided by 36 is 25
it will take 25 years
Step-by-step explanation:
plz mark brainliest i answered first
The number of years that will it take for the value of the account to reach $1,800 should be 25 years.
Calculation of the number of years:Since the deposited amount is $900
The rate of interest is 4%
The future value is $1,800
So here the balance amount should be
= $1,800 - $900
= $900
Now 4% of $900 = 36
So the number of year should be
= [tex]900\div 36[/tex]
= 25 years
hence, The number of years that will it take for the value of the account to reach $1,800 should be 25 years.
Learn more about year here: https://brainly.com/question/16045495
Find the slope of the line
y = 1/4x + 1/3
Thanks!
Answer:
0.0825
Step-by-step explanation:
1/4=0.25
1/3=0.33
Find the value of x and YZ if Y is between X and Z.
XY = 4x, YZ = x, and XZ
25
Answer:
The value of x is 5
The length of YZ is 5 units
Step-by-step explanation:
If a point lies on a line segment, then it divides it into 2 parts, the sum of their length equals the length of the line segment
Let us use this fact to solve the question
∵ Point Y is between points X and Z
→ By using the fact above
∴ XY + YZ = XZ
∵ XY = 4x and XZ = x
∵ XZ = 25
→ Substitute then in the equation above
∴ 4x + x = 25
→ Add the like terms in the left side
∴ 5x = 25
→ Divide both sides by 5 to find x
∵ [tex]\frac{5x}{5}[/tex] = [tex]\frac{25}{5}[/tex]
∴ x = 5
∴ The value of x is 5
∵ YZ = x
∵ x = 5
∴ YZ = 5
∴ The length of YZ is 5 units
Assume y varies inversely as x. If y = 60 when x = 80, find x when y = -20
Answer:
I think the answer is -40
Step-by-step explanation:
what I did was added the -20 +-20Answer:
x=0
Step-by-step explanation:
so we are going to first subtract by both sides,
x=80 y=60
-20 -20
------------------------
x=60 y=40
then again,
x= 60 y=40
- 20 -20
---------------------
x=40 y=20
and again,
x=40 y=20
-20 -20
-----------------
x=20 y=0
then lastly again,
x=20 y=0
-20 -20
------------------
x=0 y=-20
ta da, hopefully this is helpful