Answer:
[tex]a. \ (x-2)(x+i)(x-i)[/tex]
Step-by-step explanation:
First of all let's notice that [tex](x-i)(x-i)=(x-i)^2 = x^2+2xi-1 \in \mathbb{C}[/tex] while our original polynomial is real. So we can rule out the even options B and D. At this point, if the polynomial has a factor of [tex](x-\alpha)[/tex] it means tha [tex]\alpha[/tex] is a zero of the polynomial. Let's check both 2 (for option a) and -2 (for option c)
[tex]p(2)=2^3-2(2)^2+2-2= 8-8+2-2=0[/tex]
[tex]p(-2)= (-2)^3-2(-2)^2+(-2)-2=-8-8-2-2=-20[/tex]
At this point 2 is a zero, and our final factoring is a[tex](x-2)(x+i)(x-i)[/tex]
the marked price of a table fan is Rs 1400 and 10% discount is allowed on it. Find it's cost with 15%VAT.
Answer:
marked price=1400
discount=10%
VAt= 15%
selling price=?
Now
we know that,
sp= mp - discount%of mp
1400- 10% of 1400
1400 - 10÷100* 1400
1400
what is the value of the 4 in the number 27.43? write your answer as a fraction
Answer:
4 tenths or 4/10
Step-by-step explanation:
Find an equation for the perpendicular bisector of the line segment whose endpoints are (−2,−1) and ( − 6 , − 5 ).
Answer:
[tex]y = -x - 7[/tex].
Step-by-step explanation:
Slope of the given line segment:
[tex]\begin{aligned} m_{1} = \frac{(-5) - (-1)}{(-6) - (-2)} = 1\end{aligned}[/tex].
The slope of any line perpendicular to this line segment would be:
[tex]\begin{aligned}m_{2} &= \frac{-1}{m_{1}} = -1\end{aligned}[/tex].
Midpoint of the given line segment:
[tex]\displaystyle \left(\frac{(-2) + (-6)}{2},\, \frac{(-1) + (-5)}{2}\right)[/tex].
Simplifies to get:
[tex](-4,\, -3)[/tex].
Find the equation of the perpendicular bisector in point-slope form and simplify.
[tex]y - (-3) = (-1)\, (x - (-4))[/tex].
[tex]y + 3 = -x - 4[/tex].
[tex]y = -x - 7[/tex].
4y^3-9y=0 solve by factoring
Answer:
[tex]y_1=0,y_2=\frac{3}{2},y_3=\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]4y^3-9y=0[/tex]
[tex]y(4y^2-9)=0[/tex]
[tex]y(2y-3)(2y+3)=0[/tex] <-- Difference of squares
[tex]y_1=0,y_2=\frac{3}{2},y_3=\frac{3}{2}[/tex]
How to perform aerial math for following:
5.1 x 3.5 X 0.5+9.4
Can anyone help with this?
Subtract 8−2x from 3−6x . Enter your answer by filling in the boxes. $$
Answer:
-4x-5
Step-by-step explanation:
(3-6x)-(8-2x) = 3-8+2x-6x = -4x - 5
Chang works as a tutor for $11 an hour and as a waiter for $13 an hour. This month, he worked a combined total of 90 hours at his two jobs. Let t be the number of hours Chang worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.
Can you show more information please? I need more.
T = 90t + 90w
Step-by-step explanation:
90t = 90x11 = 990
90w = 90 x 13 = 1170
T = 90t + 90w
T = 990 + 1170
T = 2160
"When I started here, there were 500 employees. Since then, we have
added 35% more employees, so we now have a total of employees."
Answer:
Assuming that the question is asking how many employees there are, your answer would be 675.
Step-by-step explanation:
First, to find 35% of 500, you can use this equation (35 x 500) / 100 Second, solve the equation (The answer is 175) Third, you add 500 + 175 to get 675Factor x4 - y4 completely.
A) (x^2 + y^2)(x + y)(x - y)
B) (x^2 - y^2)(x + y)(x - y)
C) (x^2 + y^2)(x - y)(x - y)
D) (x^2 + y^2)(x + y)(x + y)
Option A
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HELP ILL MARK BRAINLIEST ANSWER THIS QUESTION IN THE PIC
What is the slope of the linear equation that has the values shown in the table
Answer:We noted above that a linear function has the form f(x)= mx+b, f ( x) = m x + b, where m m is the slope of the line, and b b is the y y -intercept. Since m m and b b can take on various values
Step-by-step explanation:
Find m
∠
K
M
L
∠KML.
Answer:
35°
Step-by-step explanation:
The base angles of an isosceles triangle are congruent. The sum of angles in a triangle is 180°, so we have ...
2M +110 = 180
2M = 70
M = 35
The measure of angle M is 35°.
Rectangle J′K′L′M′ shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV.
Rectangle JKLM is drawn on the grid with vertices J at negative 7, negative 6. K is at negative 4, negative 6. L is at negative 4, negative 2. M is at negative 7, negative 2. Rectangle J prime K prime L prime M prime is drawn with vertices J at prime 6, negative 9. K prime is at 9, negative 9. L prime 9, negative 5. M prime is at 6, negative 5. Trapezoid STUV is drawn with vertices at S 3, 2. T is at 5, 5. U is at 2, 6. V is at 1, 4.
What will be the location of T′ in the image trapezoid S′T′U′V′?
(18, −2)
(18, 2)
(15, −2)
(15, 2)
The transformed figure has the opposite orientation (A'B'C'D' is counterclockwise, whereas ABCD is clockwise), so a reflection is involved. The segment C'D' is still at the bottom, as is CD, so the reflection must be across a vertical line.
In the attached, the light-blue figure A''B''C''D'' shows the reflection of ABCD across the y-axis. It is easy to see that figure A'B'C'D' is a translation of that 5 units downward.
The appropriate choice is the 2nd one ...
... Reflection over the y-axis followed by a translation down by 5 units. droiyhjfgmdp[ytijkmrdo[ijy[hjmpoiujhokmonj-oimog[fujyjh[opifj[yuj'hkm[ofidyjhoijpofyijh[foist[Yaj[hkmcf[oiyjnjc[city[huff[pay[Pj[ifcjty[ijh[fjotijyh[Hj[fogyish[coif[t0yju[pick[fujph[fj0yh-hifcj[oijhpoijcoijhpouihughdxoiuhtoutpgoindxhouthughxdiurht09uhdxpjrtnhiuhdxiourth8iuthojucfptui9yhufchouihgcifuygtidhiougocdiudrhtudxhfogiurhtiohgcdoiuhoiuxdrhtoiughoiutdgr8uhseoiuhtdiuhroiuiudxdhgioudhugtoirugiudghxtiugdifurtyioudfxhriuytoduyhxotuyotiugoiutyoiuhrtuoihesoitughedugyhoiduhrtouhoiguhoidruthuihgdoiuhrtouighdoiurhtghoidutrhourthiuhdcoiutrioduhtgoiuhoitdrhgiouhoiuhderytgiudyhi8yetgiydhrugterudsoseoysrtgoivdxuht8ygfodushty8ugf9d8sythuygsd9e8tgoyfsdgtofidugsyt8g9s8ewgutiyges8tgiueysg7iygterysgt8t6yoesut
Please look for the question in the picture.
it will be c
as
negative with negative erased together
Divide.
1585 ÷ 25
63
6312
6325
63710
Answer:
The answer is 63 2/5
Step-by-step explanation:
Converting to mixed numbers divide 317 by 5.
5 goes into 31 at most 6 times and 5 goes into 17 at most 3 times.
The quotient of 317/5 is 63 with remainder of 2, so answer is 63 2/5.
A chi-squared curve is symmetric about 0
Answer:
The answer is false
Step-by-step explanation:
Unlike any symmetric distribution, the chi-square distribution is non-symmetric. Accordingly, this statement cannot be trusted—b.
As chi-square does not depend on all degrees of freedom, it is a non-symmetric distribution that excludes symmetric data.
Help help math math math
Answer:
10
Step-by-step explanation:
substitute -8 into x.
f(-8)=-8+18=10
Answer:
10
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all fractions. 6y+4x=-12
Step-by-step explanation:
6y +4x=-12
6y=-4x-12
y= -4/6x -12/6
y= -2/3x -2
help
Pls no joking around
Answer:
I think like expressions you use x or y or such many variables. you use - or + too. like (x+2)y there are parentheses too.
There are two types of packages that are available for hotel stay
- you can use the hotel unlimited for $500 a month
- Or you can spend $50 a day per visit.
Enter an equation that can be used to find the number of visits per month needed for the two packages to cost the same amount
Answer:
for one month 500$
for daily visit 50$
500$=50$*x days
x days=500$/50$
x days = 10 days
10 days of daily visits costs 500$ equal to one month
Wheel Fun offers rentals of paddle boats that can be enjoyed by 2 or 3 riders. The price for renting a paddle boat is $15 for each hour. Customers must also pay a $20 deposit on the rental. Write an equation that can be used to determine the price, y for renting a paddle boat for x, hours?
Answer:
15+20=35+15 And then add an additional plus 15 for each hour
Step-by-step explanation:
leading coefficient of the polynomial 4x^2−x^6+2x−6
Answer: The leading coefficient is -1.
Step-by-step explanation: Coefficients are the numbers than procede each term with a variable (in this instance, x) in the equation.
[tex]-x^6+4x^2+2x-6\\[/tex]
There are four terms in this equation, which has been reordered in the correct form, which is from the highest term to the lowest term (based on exponent values).
Thus, there are three coefficients in this equation, which, in order, are as follows:
[tex]-1, 4, 2[/tex]
Solve for x: x /6−y/3= 1
SHOW WORK
[tex]\dfrac x6 - \dfrac y3 =1\\\\\\\implies \dfrac x6 - \dfrac{2y}6 = 1\\\\\\\implies \dfrac{x-2y}6 =1\\\\\\\implies x -2y =6\\\\\\\implies x =6+2y\\\\\\\implies x = 2(3 +y)[/tex]
a simplifie 6 × ( - 24 ) ÷ ( -4 )
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{6\times(-24)\div (-4)}}\\\huge\boxed{= \mathsf{\dfrac{6(-24)}{-4}}}\\\huge\boxed{\mathsf{= \dfrac{\bold{-144}}{-4}}}\\\huge\boxed{\mathsf{\dfrac{-144\div-4}{-4\div-4}}}\\\huge\boxed{= \mathsf{\dfrac{\bold{36}}{1}}}\\\huge\boxed{\mathsf{= 36\div1}}\\\huge\boxed{\mathsf{= 36}}\\\\\\\huge\text{\bf Therefore, your answer is: \boxed{\mathsf{36}}}\huge\checkmark[/tex]
[tex]\huge\text{\bf Good luck on your assignment and enjoy}\\\huge\text{\bf your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
hi, have a good day!
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
Can someone please help with this?
Solve the equation p2 + 14p = 32 by completing the square method (and need to show work)
Answer:
p=2,-16
Step-by-step explanation:
move all terms to left side and set equal to zero. then set each factor equal to zero
i will give you brainly if help
Answer:
i think its D im not sure tho
Step-by-step explanation:
what is /12x^8| /3x2 in simplest form where x>0
Answer:
2x^3
C
Step-by-step explanation: