Given:
Consider the given polynomial is:
[tex]x^3+4x^2+16x+64[/tex]
To find:
The complete factorization of the given polynomial.
Solution:
We have,
[tex]x^3+4x^2+16x+64[/tex]
Using grouping method, we get
[tex]=(x^3+4x^2)+(16x+64)[/tex]
[tex]=x^2(x+4)+16(x+4)[/tex]
[tex]=(x+4)(x^2+16)[/tex]
[tex]=(x+4)(x+4i)(x-4i)[/tex] [tex][\because x^2+y^2=(x+iy)(x-iy)][/tex]
Therefore, the correct option is C.
1. 2x - 8 when x = 3
2. 45 - (4 . y) when y = 5
3. 32 + 2g -7 when g = 4
Answer:
2(3)-8
=-2
45-4.5
=40.5
32+2(4)-7
=33
Answer:
1.x37
2.66y
3.59g
Step-by-step explanation:
so you divied and subtract
you do the same
but add for the last
Find all zeros f(x) =x^4-x
Answer:
0 and 1
Step-by-step explanation:
Answer:x=−4,x=0,x=5
Step-by-step explanation:
take out a common factor of
x
2
f
(
x
)
=
x
2
(
x
2
−
x
−
20
)
the factors of - 20 which sum to - 1 are - 5 and + 4
⇒
f
(
x
)
=
x
2
(
x
−
5
)
(
x
+
4
)
to find zeros set
f
(
x
)
=
0
⇒
x
2
(
x
−
5
)
(
x
+
4
)
=
0
equate each factor to zero and solve for x
x
2
=
0
⇒
x
=
0
with multiplicity 2
x
−
5
=
0
⇒
x
=
5
x
+
4
=
0
⇒
x
=
−
4take out a common factor of
x
2
f
(
x
)
=
x
2
(
x
2
−
x
−
20
)
the factors of - 20 which sum to - 1 are - 5 and + 4
⇒
f
(
x
)
=
x
2
(
x
−
5
)
(
x
+
4
)
to find zeros set
f
(
x
)
=
0
⇒
x
2
(
x
−
5
)
(
x
+
4
)
=
0
equate each factor to zero and solve for x
x
2
=
0
⇒
x
=
0
with multiplicity 2
x
−
5
=
0
⇒
x
=
5
x
+
4
=
0
⇒
x
=
−
4
Please help me with this.
Answer:
105
Step-by-step explanation:
I would appreciate it if someone helped me:)
Answer:
24 more chocolotae chip cookies are sold
Step-by-step explanation:
CCC 7(15)+6 105+6=111
SC 6(15)-3 90-3 = 87
111-87 = 24
Calculate the unknown sides and angles of the triangle ABC given.
Given the final answer correct to three significant figures.
C= 25.7° , b= 3.5cm, a = 6cm
Step-by-step explanation:
to understand thisyou need to know about:law of sinelaw of cosinePEMDASlet's solve:there are 3 ways to solve SAS triangle
use The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two anglesand then use the three angles add to 180° to find the last angle.first figure out [tex]\angle C [/tex]
to do so we will use the formula of law of cosine of C angle
[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.\cos(C) [/tex]
substitute the given values of a,b and [tex]\angle C[/tex]
[tex] \sf{c}^{2} = {6 }^{2} + {3.5}^{2} - 2.6.(3.5). \cos( {25.7}^{ \circ} ) [/tex]
simplify squares:
[tex]c^{2}=36+12.25-42.\cos(25.7^{\circ})[/tex]
simplify addition:
[tex]c^{2}=48.25-42.\cos(25.7^{\circ})[/tex]
square root both sides
[tex] \sf \: \sqrt{ {c}^{2} } = \sqrt{ 48.25-42. \cos(25.7^{\circ})}[/tex]
simplify:
therefore
[tex]\bold{c=3.23}[/tex]
use law of sine to figure out angle A
[tex] \dfrac{6}{\sin( \angle \: A) } = \dfrac{3.23}{\sin(25.7)} [/tex]
therefore
[tex]\bold{\angle A=53.66°}[/tex](use calculater to simplify it)
therefore
[tex]\angle B\: is\: 180^{o}-25.70^{o}-53.66^{o}[/tex]
[tex]\bold{= 100.64}[/tex]
If I played at 2am and for my friend his time 8am so now if it 6pm for me now , what time is it for him? Hint For him will be Am
Answer:
12am
Step-by-step explanation:
Add 6 hrs to 6pm, you will get 12am
Answer: 12
Step-by-step explanation:
*ill mark brainliest*
A mathematician is analyzing an email message. Out of the first 100 characters, the letter e appears 13 times. The email message is 1,100 characters in length. Based on the information, how many of the characters should be a letter e?
Below is the graph of a trigonometric function. It intersects its midline at (8.7, 7.2), and it has a minimum
point at (6.2,3.8).
Answer: 3.4
Step-by-step explanation:
7.2 - 3.8
The minimum point at [tex](6.2,3.8)[/tex] is [tex]3.4[/tex].
What is the trigonometry function?
Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle.
It means that the relationship between the angles and sides of a triangle are given by these trig functions.
Here given that,
In the trigonometry functions it intersects its midline at [tex](8.7, 7.2)[/tex], and it has a minimum point at [tex](6.2,3.8)[/tex].
So,
[tex]7.2 - 3.8=3.4[/tex]
So, the minimum point at [tex](6.2,3.8)[/tex] is [tex]3.4[/tex].
To know more about the trigonometric function
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What does S in Math means?
Step-by-step explanation:
subtract
i think this
One seventh of a number is 12.
What is the number?
Answer:
84
Step-by-step explanation:
12 x 7 = 84
Answer:
84
Step-by-step explanation:
12÷ 1/7=84
plz help me check if its right its kinda hard :(
Answer:
It is correct actually.
Step-by-step explanation:
141 + 39 = 180
Yeah, that's correct
Explanation: Supplementary angles add to 180 degrees. If angle R is 39 degrees then angle S has to be 141 degrees because 39 + 141 = 180.
on a garden plan,two tree are 25metres apart .if the plan has a scale of 1:200,how far are they apart on the plan
17. What are the coordinates of Cedar Junction?
OA) (-4,5)
OB) (4,5)
OC) (-4,-5)
OD) (4,-5)
Answer:
(-4, -5)
Step-by-step explanation:
what is the average of these numbers
3, 5, 6
Answer:
4.66666666667.
Step-by-step explanation:
3+5+6=14, and 14 divided by 3 (the number of numbers given) is 4.66666666667.
1) Gary makes $15.00 per hour for a five-day
forty-hour work week. Also, he makes double-
time for holidays. This week, he works three
regular days and two holidays. What will be his
paycheck for this week?
A) $$40
B) $850
C) $860
D) $870
E) $880
Answer:
A) $840
Step-by-step explanation:
15•40 gives us how much money he makes a week normally
divide the result, 600, by 5 to find out how much he makes a day normally which is $120
now that we know how much he normally makes a day we can double $120 to $240 to show how much he makes on holiday days
so he makes $120 normally and $240 on holiday
120•3= 360
240•2= 480
then add
360+ 480= $840
hope this helps <3
Data was collected on the price of a hot dog and a drink at twenty different baseball stadiums. It was found that when
the price of a hotdog was low, the price of a drink was low and that when the price of a hotdog was high, the price of
a drink was high
Which statements are correct?
Answer: the price of a hot dog was low and the drink was low
Step-by-step explanation:hope this helps
The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?
Answer:
x = -3
Step-by-step explanation:
using the slope formula y2 - y1/x2 - x1 = 1 so
-6 - 1 / x - 4 = 1, so -7/-7 = 1 so x has to be -3 to make the bottom = -7
Simplify the expression. Explain each step.
5.3 + (W + 1.2)
how long does it take to go and come from a kroger because my dad went to go get baby formula for me and im now 13 should i be worried orrr....
What is the slope for (-2,1) and (7,1)
Answer:
m=0
Step-by-step explanation:
the slope (m) can be calculated from two points with the formula (y2-y1)/(x2-x1)
we are given the points (-2,1) and (7,1)
label the points:
x1=-2
y1=1
x2=7
y2=1
now substitute into the equation
m=(1-1)/(7--2)
m=0/9
m=0
the slope of the line is 0
Hope this helps!
2x + 3 = -7 what is x
Answer: x=-5
Step-by-step explanation:
You would have to do the inverse to “undo” the equation.
So first you would do -7-3=-10
Then you would do -10/2=-5 to find x
25+2(3 x 4) - 7=???
Show ur works please
Answer:
42
Step-by-step explanation:
25+2(12)-7
25 + 24 - 7
49 - 7
42
[tex] \huge \color{Red} Answer: [/tex]
[tex]25 + 2(3 \times 4 ) - 7 = [/tex]
[tex]25 + 2 \times 12 - 7 = [/tex]
[tex]25 + 24 - 7 = [/tex]
[tex]49 - 7 = 42[/tex]
[tex] \huge \color{Blue} Explaination: [/tex]
First, Multiply the numbers inside the parentheses.
Second, Also Parentheses is also a Multiply sign so Multiply 12 and 2.
Third, Follow the left to right rule so add 25 and 24.
Lastly, Subtract the last number.
[tex] \large \color{Purple} Rules \: of \: PEMDAS:[/tex]
Follow left to right rule. Also the PEMDAS rule like:If you see a Parentheses do them first then Exponent next Multiplication and so forth.
[tex] \large \color{Green} PEMDAS \: stands \: for:[/tex]
P - ParenthesisE - ExponentM - MultiplicationD - DivisionA - AdditionS - SubtractionKaren has $36.08. She bought a book for $8.65 and 2 records for $7.65 each. How much did she spend?
Answer:
She would have 12.13 cents left over
Step-by-step explanation:
Answer: The answer is $23.95
Step-by-step explanation: You could get the answer by adding 7.65+7.65+8.65 or 7.65x7.65+8.65
Julio bought a fish tank shaped like a rectangular prism. The inside of the tank measures 24 inches in length, 10 inches in width, and 12 inches in height. The tank is filled with water to a height of 8 inches. How many more cubic inches of water are needed to fill the tank to the top? Use paper to show your work.
Answer:
[tex]Volume = 960in^3[/tex]
Step-by-step explanation:
Given
Empty Tank
[tex]Length = 24in; Width=10in; Height = 12in[/tex]
When filled with water, the height is:
[tex]Height = 8in[/tex]
Required
Determine how many more cubic inches needed
First, we calculate the difference between the height of the tank and the height of the water.
[tex]H = 12in - 8in[/tex]
[tex]H = 4in[/tex]
The volume of water to full the tank is then calculated as:
[tex]Volume = Length * Width * H[/tex]
[tex]Volume = 24in * 10in * 4in[/tex]
[tex]Volume = 960in^3[/tex]
Which expressions are equivalent to - 6z +(-4.5) + 2.5z + 5y -3.5?
Select all that apply.
A. - 8 + 5y +3.52
B. - 3.5z + 5y - 8
C. - 8 + 5y +(-3.5z)
OD. 5y - 8 -3.52
E. 5y + (-3.52) - 4.5
Pls help
Step-by-step explanation:
babababababababbababavavabababababa
w3=24
Question 4 options:
w = 8
w = 72
w = 12
w = 6
Answer:
w=8
Step-by-step explanation:
i took the k12 test
Mr. Bucci goes to the grocery store and purchases
17 bags of raisins and a $2.97 jar of peanut butter.
His total cost was $34.76. What was the cost for a
bag of raisins?
Help
All repeating decimals are irrational True or false
Answer:
True
Step-by-step explanation:
Answer: the answer is true sorry if its wrong
Step-by-step explanation:
have a nice day buddy
Find the area of the following
triangle:
5.7 cm
4 cm
13 cm
A= [?] cm
Enter the exact answer as a decimal.
The final statement is: Area of triangle is equal to 83.65 cm²
What is the Area of a Triangle?The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.
Given here: The dimensions of the triangle as 5.7 cm ,4 cm, 13 cm
Now the perimeter of the triangle is equal to s=5.7+4+13=22.7 cm
Therefore the area = [tex]\sqrt{22.7(22.7-5.7).(22.7-4).(22.7-13)}[/tex]
=[tex]\sqrt{6998.401}[/tex]
=83.65 cm²
Hence, The area of the triangle is equal to 53.65 cm²
Learn more about triangles here:
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my brother needs help with this !
Answer:
1. 20
2. 35
3. 20
4. 20
Step-by-step explanation:
Are u serious..... ඩඩඩඩඩඩඩ