Answer:
[tex]f(x)=2(x-2)(x^2+64)[/tex]
Step-by-step explanation:
A standard polynomial in factored form is given by:
[tex]f(x)=a(x-p)(x-q)...[/tex]
Where p and q are the zeros.
We want to find a third-degree polynomial with zeros x = 2 and x = -8i and equals 320 when x = 4.
First, by the Complex Root Theorem, if x = -8i is a root, then x = 8i must also be a root.
Therefore, we acquire:
[tex]f(x)=a(x-(2))(x-(-8i))(x-(8i))[/tex]
Simplify:
[tex]f(x)=a(x-2)(x+8i)(x-8i)[/tex]
Expand the second and third factors:
[tex]=(x+8i)x+(x+8i)(-8i)\\\\=(x^2+8ix)+(-8ix-64i^2)\\\\=(x^2)+(8ix-8ix)+(-64i^2)\\\\=x^2-64(-1)\\\\ =x^2+64[/tex]
Hence, our function is now:
[tex]f(x)=a(x-2)(x^2+64)[/tex]
It equals 320 when x = 4. Therefore:
[tex]320=a(4-2)(4^2+64)[/tex]
Solve for a. Evaluate:
[tex]320=(2)(80)a[/tex]
So:
[tex]320=160a\Rightarrow a=2[/tex]
Our third-degree polynomial equation is:
[tex]f(x)=2(x-2)(x^2+64)[/tex]
Answer:
f(x)=2(x-2)(x^2+64)
Step-by-step explanation:
Someone please explain how you got the answer please and thank you
Answer:
3 texts by madelyn, there were 2 texts from aubrey
Step-by-step explanation:
the ratio of maddie to aubrey was 18:12 which is 3:2
so 3 by maddie = 2 by aubrey
i used maddie because its shorter
Answer:
6 + 6 is 12 and 12 + 6 is 18 so i think its for every 6 text sent and then 6 again (6 in both boxes)
Step-by-step explanation:
adore your sasha pfp
help meh I'm doing more stuff for I can get another apple phone and another anonymous mask-
Answer:
4lb.
Step-by-step explanation:
11 divided by 2.75 = 4
therefore, the answer is 4lb's.
What is the value of x in 5x = 35? *
Answer:
7
Step-by-step explanation:
find the area of the compound shape. use 3.14 for pi.
1. 26.1cm square 2
2. 125.1cm square 2
3. 68.5cm square 2
4. 28.3cm square 2
Answer:
1. 26.1 cm²
Step-by-step explanation:
For area of semi circle
diameter = 6cm
radius = 6/2 = 3cm
Area of semi circle = 1/2 x pi x r²
= 1/2 x 3.14 x 3²
= 1.57 x 9
= 14.13 cm²
For area of rectangle,
length = 6cm
breadth = 2cm
Area = length x breadth
= 6 x 2
= 12cm²
Area of compound shape = 14.13 + 12
= 26.13 cm²
Adam used 6 cups of milk to fill containers that each hold 1/3 how many containers can he fill
Answer:
2
Step-by-step explanation:
Change the numbers into an improper fraction. 6/3, then simplify it.
6/3 = 2
Answer:
1/3=6. Cross multiply1×c=6×3cups filled= 18
In the elimination method would you add or subtract the following system? (Elimi
2x+5y=-2
-2x-7y=-6
(1 Point)
Add
Subtract
(Worth 10 points)
Answer:
You will add!
Step-by-step explanation:
Words words words
PLZ HURRY, TIMED, WILL MARK BRAINLIEST********
K [Not drawn to scale] Which is true about the diagram? Select two options. MZIKH+MZIKL= 180° MZIKLU MZILK+mZKIL = 180° DmZJKH= MZJLK O MZIKLU MZILK= 90° OmZKIL= MZKLJ
find the value of M in the following equation 7=m*12
Step-by-step explanation:
7=m*12
divide the equation by 12
7/12=12m/12
7/12=m
if you meant to type 7=m^12
then the answer for m is 7^(1/12)
which is 1.1760
Hope that helps :)
If 45/60 is equivalent to 3/x, find the value of x
work out 5×6 - 8 ÷2
Answer: 26
Step-by-step explanation:
5×6 - 8 ÷2
= 30 - 8 ÷2
= 30 - 4
= 26
Answer:
26
Step-by-step explanation:
so we start off with 5x6 from PEMDAS so 5x6 = 30
then we have 8 divided by 2 = 4
30-4 = 26
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
hope it helps
Step-by-step explanation:
have a great day
Please help quick no Tiny links please plz plz help quick due soon I will give points no Links
Answer:
I think its B but im not sure
Step-by-step explanation:
A local river running company wanted to see if rafting or kayaking led to better satisfaction on a river trip. They tested a group of people who participated in both activities. These tourists kayaked one day and rafted the next day. At the end of each day, they rated how much they liked the activity using a 10 point scale (1-strongly dislike to 10-strongly like).
Which hypothesis test should be used?
a. Two Sample Independent t-test
b. Two Sample Dependent t-test
c. One Sample t-test
d. None of these
e. Test of Correlation
Answer:
b. Two Sample Dependent t-test
Step-by-step explanation:
In this scenario, the best hypothesis test would be a Two Sample Dependent T-test. This is because the test would need to be seperated into two sample groups, one for the individuals that went rafting and one with the individuals that wen Kayaking. Then the data from both of these would be analyzed and compared. A dependent test would be used since the results depend on the activity in question.
Find the unknown value: x + 9 = 16 * 6 5 7
Answer:
X=10,503
Step-by-step explanation:
x+9=16×657
X+9=10,512
X=10,512-9
X=10,503
What is the result of the operation
Multiplication is the process of multiplying. The correct option is D.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The result of the given operation can be written as,
[tex]-2\left[\begin{array}{ccc}-3&5&1\\8&-2&3\\2&1&-4\end{array}\right][/tex]
Since for a multiplication operation, each element of the matrix is multiplied with the given term, therefore, the matrix can be written as,
[tex]= \left[\begin{array}{ccc}-3\times -2&5\times -2&1\times -2\\8\times -2&-2\times -2&3\times -2\\2\times -2&1\times -2&-4\times -2\end{array}\right][/tex]
Solving the multiplication, we will get,
[tex]=\left[\begin{array}{ccc}6&-10&-2\\-16&4&-6\\-4&-2&8\end{array}\right][/tex]
Hence, the correct option is D.
Learn more about Multiplication here:
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Laura wants to learn more about her new high school. Which of the following is a statistical question Laura could ask?
A. What is the address of the school
B. Who is the principal
C. How old are the students at the school
D. Does the high-school have a jazz band
Answer:
D.
Step-by-step explanation:
There is no explanation
A company makes wax candles shaped like rectangular prisms. Each candle is 5 cm long, 3cm wide, and 10cm tall. If the company used 3900 cm3 of wax, how many candles did they make?
Answer:
26 candles
Step-by-step explanation:
What is equivalent to 4,000 centimeters? A. 4 meters B.40 meters C.400 meters D. 40,000 meters
Answer:
B. 40 meters
Step-by-step explanation:
there are 100 cm in a meter
we can divide 4,000 by 100 to see how many meters are equivalent to 4,000 cm.
4,000/100 = 40
Therefore, the answer is B. 40 meters
hope this helps :)
what are the challenges of wildlife conservation in Ethiopia
Answer:eEthiopia is the third country next to Tanzania and Uganda in terms of land surface of protected area; human-wildlife conflict, loss of biodiversity, and limited tourism and conservation attention with poor infrastructure are some of the major challenges.
Step-by-step explanation: brainilest ?
I will mark you brainalist
Answer:
4.6
Step-by-step explanation:
the first equation will be y=1.2x+4.6
the second will be y=0.8x+54.6
then i plugged the system of equations and that was where they met at :)
Answer:
for sure B
Step-by-step explanation:
Brandon gets paid $7.55 per hour. How much does he make if he worked 35 hours?
A. $302.00
B. $2,642.50
C. $264.25
D.$30,200.00
Answer:
C
Step-by-step explanation:
7.55 x 35 =
264.25
Hope this helped
Every 75 feet, they will drink 8 ounces of water. Use your estimate to determine how many times they will stop to drink 8 ounces of water. How many ounces of water will Sarah drink biking up the mountain?
Answer:
600 oz
Step-by-step explanation:
Explain why a variable's coefficient is 1 unless you see another number in front of it.
For adding variables we use the coefficient as 1 if there is no number infront of variable.
What is Expression?An expression is combination of variables, numbers and operators.
A coefficient is a multiplicative factor in some term of a polynomial, a series, or an expression; it is usually a number, but may be any expression.
Let us consider a algebraic expression
ax+by+z=0
In the given expression a, b are coefficients of x and y respectively.
We use coefficient as one when there is no number before a variable because when we add variables there should be some number before varibales. So we consider 1 as coefficient for those variables which does not have any coefficient.
Hence, for adding variables we use the coefficient as 1 if there is no number infront of variable.
To learn more on Expressions click:
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A car travel 8km using 1 litres of petrol. How much petrol is needed to travel 152km
Answer:
It is very interesting!
Step-by-step explanation:
So I am going to take all of this values and represent it as a proportion, So here's how it is going to look,
Km : Litre : : Km : Litre
Let's keep the missing value as x
= 8 : 1 : : 152 : x
We know that,
Product of ext. terms = Product of middle terms
8 * x = 1 * 152
8x = 152
x = 152/8
x = 19
So therfore it will take 19 lites to travel 152 km.
(So to put everything in a nutshell we have to divide 8 by 152 to get the answer)
Hope this helps :)
What does 64.5% as a decimal equal?
Answer:
0.645
Step-by-step explanation:
since a percent is out of 100, it could also be written a 64.5/100,
then converting a fraction into a decimal is jus dividing the two equaling to 0.645
Divide (x2 + 8x + 1) ÷ (x – 4) using synthetic division.
Answer:
I'm sorry i cant help you rn, download symbolab or math solver, I'm sure you will find your answer g
3. Marci's gross pay this month is $1,175. What is the total amount her employer will
deduct from her income this month for Medicare tax (1.45% of gross pay) and Social
Security tax (6.2% of gross pay)?
pls help me
Answer:
it would be 266.83
Step-by-step explanation:
A psychologist is interested in the social interactions of preschool children. She measures the number of verbal interactions that each child at a preschool engages in during a day. Here is the frequency distribution of the data. The cumulative frequency for the interval 46-55 is _________
Answer:
[tex]CF = 13[/tex]
Step-by-step explanation:
Given
See attachment for table
Required
Determine the cumulative frequency for interval 46 - 55
To do this, we add up the frequency from the lowest interval up to interval 46 - 55.
From the attached table, the lowest interval is 6-15.
So, the cumulative frequency (CF) is:
[tex]CF = 1+2+3+3+4[/tex]
[tex]CF = 13[/tex]
find the missing value no trolling please
Answer: 2
The equivalent ratios are 1:2 and 5:10
Step-by-step explanation:
Find the missing dimension. Use the scale factor 1: 8.
Model height: ?
Actual height: 28 in.
Answer:
the answer is 6 :))))))))0
Step-by-step explanation: