Answer:
[tex]\left(x+1\right)\left(x-2\right)\left(x+2\right)(x +2 - 4i)(x +2 + 4i)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^5 + 5x^4 + 20x^3 - 96x - 80[/tex]
[tex]Zeros: -2, -1, 2[/tex]
Required
Factorization of f(x)
The given zeros imply that:
[tex]x=-2[/tex] [tex]x =-1[/tex] [tex]x = 2[/tex]
This gives:
[tex]x + 2 =0[/tex] [tex]x + 1 = 0[/tex] [tex]x - 2 = 0[/tex]
So, some factors are:
(x + 2), (x + 1) and (x - 2)
Divide f(x) by the factors, to get the other factors:
[tex]\frac{x^5 + 5x^4 + 20x^3 - 96x - 80}{(x + 2)(x + 1) (x - 2)}[/tex]
Using a factorization calculator, we have:
[tex]\frac{\left(x+1\right)\left(x-2\right)\left(x+2\right)\left(x^2+4x+20\right)}{(x + 2)(x + 1) (x - 2)}[/tex]
Cancel out common terms
[tex]x^2+4x+20[/tex]
Using quadratic formula, we have:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 1; b =4; c = 20[/tex]
[tex]x = \frac{-4 \± \sqrt{4^2 - 4*1*20}}{2*1}[/tex]
[tex]x = \frac{-4 \± \sqrt{16 - 80}}{2*1}[/tex]
[tex]x = \frac{-4 \± \sqrt{-64}}{2}[/tex]
Using complex notation
[tex]\sqrt{-64}= 8i[/tex]
So:
[tex]x = \frac{-4 \± 8i}{2}[/tex]
Simplify the fraction
[tex]x = -2 \± 4i[/tex]
Split
[tex]x = -2 + 4i \ or\ x = -2 - 4i[/tex]
Equate to 0
[tex]x +2 - 4i = 0 \ or\ x +2 + 4i = 0[/tex]
The other factors are: (x +2 - 4i) and (x +2 + 4i)
Hence, the factorization of f(x) is:
[tex]\left(x+1\right)\left(x-2\right)\left(x+2\right)(x +2 - 4i)(x +2 + 4i)[/tex]
What is 19 X +18+7+ 4X plus 3X?
Answer:
26x+25
Step-by-step explanation:
not sure if this an answer choice but here
Let's simplify step-by-step.
19x+18+7+4x+3x
Combine Like Terms:
=19x+18+7+4x+3x
=(19x+4x+3x)+(18+7)
=26x+25
Answer:
=26x+25
Guys what's 1+1?
I don't understand!!!
School gives the worst questions ever!!!
Answer:
1+1=2
Step-by-step explanation:
can i have brainliest so i can level up lol :D
Answer:
2
Step-by-step explanation:
The following set of data represents the number of votes for the winner of prom queen over the past several years: 87 94 95 70 75 59 53 82 82 68. Find the median number of votes cast
Answer:78.5
Step-by-step explanation:
the median is the middle digit so with 10 different numbers it would be the 5th or sixth number
but you have to first have them in least to greatest order
53,59,68,70,75,82,82,87,94,95
5th+6th/2
75+82= 157
157/2
78.5
hope its helpful
HELP ASAP!!! HELP FAST PLEASE!!!
I believe it would be
[tex]8x \sqrt{y} [/tex]
Answer:
[tex]2x\sqrt6xy[/tex]
Step-by-step explanation:
its all real
Suppose a sample of 400 participants was randomly selected from the middle schools and high schools in a large city. These participants responded to the question:
Which type of movie do you prefer to watch?
160 participants preferred action movies.
80 participants preferred drama movies.
40 participants preferred science-fiction movies.
240 participants were females.
78 female participants preferred drama movies.
32 male participants preferred science-fiction movies.
60 female participants preferred action movies.
Answer:
8 (a=8)
Step-by-step explanation:
40-32 = 8
ANYONE PLS HELP ASAP!!
Answer:
the answer your looking for is 2 2/8 pies
i’ll give brainliest!! please help and answer correctly! plsss answer quick
Answer:
A) The wall is larger than you, so no force is exerted
Step-by-step explanation:
what is 1 + 1
if the answer is 2 then why is it 2
how to find the measure of the obtuse angle
Answer:
Measure of obtuse angle is 134 degrees
Step-by-step explanation:
these two angles are supplementary so they add up to 180
68x-2 +23x=180
91x-2=180
91x = 182
x = 2
plug in x
68 (2) -2 = 134
23 (x) = 46
PLSASE HELP DUE TODAY WILL MARK YOU!!!
Answer:
hjgjhgjhghjg
Step-by-step explanation:
ghjjgjesw54t32r3yggtfucgkyoughrhhfgh
Miguel measured a house and its lot and made a scale drawing. The backyard, which is 40 feet wide in real life, is 20 inches wide in the drawing. What scale did Miguel use? plz help
Answer:
Can you please post a picture?!
Step-by-step explanation:
Answer: Henge
Step-by-step explanation:
I got you boys ;)
can you show me how you did it plz
Answer:
$6.50
Step-by-step explanation:
Info stated:
m is the number of minutes the car wash will runm = 20Work:
0.25m + 1.50
0.25(20) + 1.5
5 + 1.5
6.5
How is the product related to the first factor? 3/7x8/9
What is the quotient of 35.86 divided by 2.2
Answer:
16.3
Step-by-step explanation:
You simply divide the 35.86 by 2.2 using long division or any method you'd like!
What number should Rihanna use for the height of the parallelogram if she uses 28 inches for the base
Answer:
[tex]Height = 7in[/tex]
Step-by-step explanation:
Given
See attachment for parallelogram
[tex]Base = 28in[/tex]
Required
What is the height?
The opposite sides of a parallelogram are equal and the height is the distance between the parallel sides.
From the question, we have:
[tex]Base = 28in[/tex]
Also from the question, the difference between the two parallel sides is 7in.
Hence, the height of the parallelogram in 7in
Solve the following quadratic by
completing the square.
f(x) = x2 + 10x - 1
I really need help lol...you get 81 POINTS!!!!!!!!!!!!!!!!!!
Answer:
area = 82 cm²
Step-by-step explanation:
The figure comprises a trapezoid, a triangle and a square.
Calculating areas of the three shapes separately and then adding them will give us the required area of the composite figure.
Area of square : (side)²
= (2)²
= 4 cm²
Area of triangle : ½ × b × h
= ½ × 3 × 12
= 3 × 6
= 18 cm²
Area of trapezoid : ½ × (a + b) × h
= ½ × (5+5) × 12
= ½ × 10 × 12
= 5 × 12
= 60 cm²
Now, area of the composite figure :
= 4 + 18 + 60
= 22 + 60
= 82 cm²
Answer:
82 cm²Step-by-step explanation:
If you exclude the square on the bottom, you have a trapezoid with bases of 5 cm and 8 cm and the height of 12 cm.
Its area is:
A = (5 + 8)*12/2 = 78 cm²Add the area of the square with sides of 2 cm:
A = 2*2 = 4 cm²Total area is:
A = 78 + 4 = 82 cm²Bob is a ringmaster for the circus. He stands inside a circular circus ring that has a diameter of 14 meters. What is the area of the ring to the nearest tenth of a square meter?
Answer:
Diameter14
Using the formulas
A=πr2
d=2r
Solving for A
A=1
4πd2=1
4·π·142≈153.93804m²
Step-by-step explanation:
HELPPPPPPP
PLS.
HELP.
-Elizabeth R.
-YT: Lizzy Playz (with an anime girl icon with glasses)
-Dis Cord: Your.Local.Lizzy.Afton
well, its just area ez. 3.8x3.8=14.44
Answer:
14.44ft^2
Step-by-step explanation:
3.8ft x 3.8ft
Im really confused Lol can someone help?
Answer:
your do it on your own
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+129x+119
y=−16x
2
+129x+119
find the value of x in the picture
Answer:
x = 9
Step-by-step explanation:
5x+4 = 49
subtract 4 from both sides
5x = 45
divide both sides by 5
x = 9
Answer:
x = 9
Step-by-step explanation:
49 degrees and (5x + 4) are vertical lines, meaning they are congruent.
We can make an equation with this information:
(5x + 4) = 49
-4 -4
5x = 45
/5 /5
x = 9
Verify that a + ( b + c) = (a + b) + c , a = (-12) , b = 4 , c = (-25)
Answer:
a + (b + c) = (a + b) + c
Step-by-step explanation:
a= (-12), b = 4, c = (-25)
[tex](12) + (4 + ( - 25)) = ( - 12 + 4) + ( - 25) \\ - 33 = - 33[/tex]
Answer:
GIVEN :-
a = -12b = 4c = -25TO VERIFY :-
a + (b + c) = (a + b) + cSOLUTION :-
Find the values of L.H.S. & R.H.S.
L.H.S. :-
Put all values in → [tex]\boxed{a+(b+c)}[/tex]
⇒ -12 + [4 + (-25)]
⇒ -12 + (4 - 25)
⇒ -12 + (-21)
⇒ -12 - 21
⇒ -33
R.H.S. :-
Put all values in → [tex]\boxed{(a+b)+c}[/tex]
⇒ (-12 + 4) + (-25)
⇒ -8 - 25
⇒ -33
CONCLUSION :-
L.H.S. = R.H.S.
⇒ a + (b + c) = (a + b) + c
1/2 + 1/4
2/8
2/6
4/8
6/8
Gigi earned $65 for 5 hours of gardening. She earned $90 for 9 hours of office work. Which statement correctly compares Gigi’s earning per hour for gardening and office work?
Answer:
Even though you did not add choices, she makes more gardening.
Step-by-step explanation:
65 / 5 is 13, so she makes $13 an hour while gardening.
90 / 9 is 10, so she makes $10 an hour while doing office work.
Answer:
The answer is A take my word for it brodies i swear
Step-by-step explanation:
Pls help with this it’s 3:44 AM for me, I’m in my study room trying to figure out how to solve this and I still didn’t finish My math work cuz I didn’t know howw ( due tomorrow ) and it’s getting rlly late so can u guys help me?? ty <33! please try your best! /spamming!/
Answer:
1. [tex]\frac{4}{10}[/tex]
2. He used baking soda more than vanilla flavoring. [tex]\frac{7}{8} > \frac{1}{4}[/tex]
3. Giraffes are the herbivores. [tex]\frac{1}{6} < \frac{3}{4}[/tex]
4. Sarai helps more in the school than Josh does. [tex]\frac{3}{8} < \frac{8}{12}[/tex]
5. [tex]\frac{5}{12} < \frac{6}{8}[/tex]
6. [tex]\frac{4}{6} > \frac{2}{5}[/tex]
7. [tex]\frac{7}{10} < \frac{4}{3}[/tex]
Need help on this question asap please
Answer:
a= 168
p= 62
Step-by-step explanation:
25 24 and 7 are pythagorean triples. meaning the short side length is 7.
24*7 = 168
48+14=62
what is the opposite of dividing by 2.3
Answer:
multiplying by 2.3 is the opposite
A right triangle is shown.
What is the area of the right triangle?
B
Step-by-step explanation:
The answer is B 60 in.^2.
10*12= 120
120/2 = 60
I hope this helps and have a great day!
Find the area and the perimeter of the figure below. The figure is composed of small
squares with a side-length of 1 unit and curves that are an arc of a circle.
our answer
Answer:
11.28 units squared
Step-by-step explanation:
Area of a circle is
[tex]\pi {r}^{2} [/tex]
each square has an area of 1
There are four semi-circles, which make two complete circles.
the area of the 5 squares plus the area of the two circles equals the total area.
5 + 2(3.14) = 11.28
what are the next two terms in the sequence?: 1, -2, 4, -8
Answer:
16 and -32Step-by-step explanation:
-2÷1 = -2
4÷(-2) = -2
-8:4 = -2
So this is a geometric sequence with a common ratio of -2
Therefore:
the 5th term: -8×(-2) = 16
the 6th term: 16×(-2) = -32