Answer:
f(x) = x^3 + 2x^2 + x + 2
Step-by-step explanation:
If -2 + i is a zero, then -2 - i must also be a zero.
These zeros are -2, -2 + i and -2 - i, and the corresponding factors of the polynomail f(x) are (x + 2), (x + 2 - i) and (x + 2 + i).
(x + 2 - i) and (x + 2 + i) multiplied together becomes x^2 + 1.
Multiplying this result by the 3rd and last factor, (x + 2), we get
(x^2 + 1)(x + 2) = x^3 + 2x^2 + x + 2
Check, using synthetic division. What are the factors of x^3 + 2x^2 + x + 2?
-2 / 1 2 1 2
-2 -2 -2
-----------------------
1 0 -1 0 Since the remainder is zero, we know that
(x + 2) is a factor and -2 is a root.
The following table is from rolling a six sided die 120 times.
Roll 1 2 3 4 5 6
Frequency 15 18 20 17 24 26
What is the experimental probability of rolling anything other than a 2?
Answer: did you ever get the answer ?
Step-by-step explanation:
Pls help asap thx its about Operations with Exponents
7.
8.
9.
10.
Answer:
7. 2s^7
8. 2s^4/5s^2
9. 108s^9
10. h^7
Step-by-step explanation:
7) (2s^3)^4
= 2s^(3+4)
= 2s^7.
8) (2s^2/5s)^2
= (2s^4/5s^2)
= 2s^4/5s^2.
9) 3s^5 × 4s^-2 × 9s^6
= 12s^{5+(-2)} × 9s^6
= 12s^3 × 9s^6
= 108s^9.
10) h^5/h^-2
= h^{5-(-2)}
= h^7.
if it helps don't forget to like and mark me
hello, and good morning,
help me plz with.....
what´s √1000×1000=
Answer:
[tex]\sqrt{1000\times 1000}[/tex]
[tex]=\sqrt{1000^2}[/tex]
[tex]=1000[/tex]
-------------------------
Thanks!
Have a great day!!
Question 2-4 please
Answer:
Step-by-step explanation:
2) a) You have to find the area of semicircle.
r = d/2 = 12/2 = 6 mm
Area of semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]
[tex]= \frac{1}{2}*3.14*6*6\\\\= 3.14*3*6\\\\= 56.52 mm^{2}[/tex]
b) r = 10 cm
Area of quadrant = [tex]\frac{1}{4}\pi r^{2}[/tex]
[tex]= \frac{1}{4}*3.14*10*10\\\\=3.14*5*5\\\\= 78.5 cm^{2}[/tex]
3) d = 10 m
r = d/2 = 10/2 = 5 m
Area of circular garden = πr²
= 3.14 * 5 * 5
= 78.5 m²
Area of rectangular pool = 8 * 6 = 48 m²
Area of the garden covered in grass = area of the circular garden - area of pool
= 78.5 - 48
= 30.5 m²
4) a) r = 60 cm
Area of the top of the circular table = πr²
= 3.14 * 60 * 60
= 11304 cm²
diameter of base = 30 cm
r = 30/2 = 15 cm
Area of circular base = 3.14 * 15 * 15
= 706.5 cm²
Help me out here please.
Answer:
just remove the parentheses and add the numbers
Step-by-step explanation:
How do you decide what numbers to use as the numerator and the denominator in each equivalent fraction to the given decimal?
Answer:
For denominator the number of digits after the decimal are counted to find the multiple of 10s.
The numerator is the decimal number digits with the decimal removed.
Step-by-step explanation:
The given number of the decimal is used as the numerator and the denominator of the decimal always has to be 10 or a multiple of 10 depending on the position of the decimal point.
For example if we have a number 4.3
The numerator will be 43( the decimal is removed) and the denominator will be 10 because in the original decimal number 4.3 the decimal was before only 1 number that is 3.
Now take the example of 4.36
The numerator will be 436 ( the decimal is removed) and the denominator will be 100 ( 10 *10 = 100) because in the original decimal number 4.3 the decimal was before 2 number that is 3 and 6.
so the fraction will be 436/100
Now if we divide 436 by 100 we will get the same answer as the original number
100√436 4.36
400
360
300
600
600
xxx
The same process is applied to bigger numbers such as 4.365 and so on.
If we have a number 43.6 the numerator will be 436 ( the decimal is removed) and the denominator will be 10 because in the original decimal number 43.6 the decimal was before 1 number that is 6.
so the fraction will be 436/10
If we have a number 436.5 the numerator will be 4365 ( the decimal is removed) and the denominator will be 10 because in the original decimal number 436.5 the decimal was before 1 number that is 5.
so the fraction will be 4365/10
For denominator the number of digits after the decimal are counted to find the multiple of 10s.
The numerator is the decimal number digits with the decimal removed.
Use the ALEKS calculator to write as a percentage.
5/17
Round your answer to the nearest tenth of a percent.
Answer:
The answer is 29.4%
Step-by-step explanation:
The given is to be rounded to the nearest tenth percent so
5/17 = 0.294
0.294 * 100 = 29.4% since nearest tenth percent
The required answer is 29.4%
Given fraction is 5/17.
Percentage is a way of expressing a fraction or proportion as a portion of 100. It is a mathematical concept used to represent relative quantities or values in terms of hundredths. The word "percent" is derived from the Latin words "per centum," which mean "per hundred." It is denoted by the symbol "%".
To convert a fraction to a percentage, and multiply the fraction by 100.
Let a and b be the rel numbers. To convert the fraction a/b into percentage by multiply the fraction by 100.
That is , a/b x 100.
And on simplification gives the fractions.
To convert 5/17 to a percentage, we have:
(5/17) x 100 = 29.4117647...
Rounding this to the nearest tenth of a percent, we get:
29.4%
Therefore, when rounded to the nearest tenth of a percent, 5/17 is approximately 29.4%.
Learn more about converting fractions to percentages, click here:
https://brainly.com/question/25395
#SPJ6
Charles offers 7% over dealer cost on a BMW that has a sticker price of $63,000 and a dealer cost of $56,904
Answer:
The right solution is "$ 60,887.28". A further explanation is provided below.
Step-by-step explanation:
The given values are:
Sticker price,
= $63,000
Dealer cost,
= $56,904
Offer,
= 7%
Now,
The 7% dealer cost will be:
= [tex]\frac{7}{100}\times 56,904[/tex]
= [tex]3,983.28[/tex] ($)
hence,
Amount offered will be:
= [tex]56,904+3,983.28[/tex]
= [tex]60,887.28[/tex] ($)
Factor the polynomial by its greatest common monomia
365 + 1564 - 1867
25y + 150x = 250
find the Variables
Answer: Step-by-step explanation:
25y + 150x = 250 (÷25)
y+6x=10
y=10-6x
example x=1 y=4
Drag the dot to plot (-5, -9), and then select its location on the coordinate plane.
please can someone tell me the defenitions of each of these terms?
1. sales tax
2. rebate
3. income tax
4. gross pay
5. net pay
What is the answer for 8.7mm and 10mm?
Answer:
18.7
Step-by-step explanation:
just add them
URGENT!!!!!
Select expression that represents the following statement multiply six by the sum of three and eight
Hi
6 * (3+8) = 6 * 11 = 66
Answer:
66
Step-by-step explanation:
6 (3+8) aka 6×(3+8)
6 (11)
= 66
A store sold 655 bicycles last year. This year the store sold 582 bicycles. What is the percent of change in the number of bicycles sold from last year to this year? Round to the nearest percent
Answer:
12.5%
Step-by-step explanation:
Given data
Number of bicycles sold last year= 655
Number of bicycles sold this year= 582
%percent change= Iniitial -FInal/initial *100
%percent change= 655-582/582*100
%percent change= 73/582 *100
%percent change=0.125 *100
%percent change=12.5%
Hence the percent change is 12.5%
Which function could be represented by the graph on the coordinate plane?
f(x) = (x – 8)2 + 6
f(x) = (x + 8)2 + 6
f(x) = (x + 8)2 – 6
f(x) = (x – 8)2 – 6
Answer:
It D
Step-by-step explanation:
65.6g of sugar is needed to make 8 cakes. How much sugar is needed for 5 cakes?
Answer:
41 grams
Step-by-step explanation:
Ratios:
[tex]\frac{65.6}{8} =\frac{x}{5} \\\\8x=328\\x=41[/tex]
In Hillsboro's wig shop, 1/2 of the wigs are blonde and 1/12 of the wigs are brunette. What fraction of the wigs are either blonde or brunette?
Answer:
7/12
Step-by-step explanation:
So, the probability of picking up a blonde wig = 1/2
The probabiliy of picking up a brunette wig = 1/12
The question asks to find th eprobability of picking up either of these types of wigs =
1/2 + 1/12
= 6/12 + 1/12 ( LCM of 12 and 1 is 12 )
= 7/12
Hope this helps
Answer equation pls =)
1/4x+32=x+11
Answer:
1/4x+32=x+11 x=28
Answer:
x=28
Step-by-step explanation:
Write as decimal
0.25x+32=x+11
Subtract 0.25x from both sides
32=0.75x+11
Subtract 11 from both sides
21=0.75x
Divide both sides by 0.75
x=28
Left with what x equals
Which steps are correct to solving this?
Answer:
it will mist likely be A hope this helps
Solve by factoring
x^2-3x+16=7x
Taylor had a bag of 28 marbles. 5 red, 9 blue, 8 yellow, and 6 black. If Taylor pulled out a yellow one and DID NOT put it back in. What is the
probability of pulling out a blue marble (SIMPLIFY YOUR FRACTION).
Blank 1:
Blank 2:
Answer: 1/3
Step-by-step explanation:
Number of red marbles = 5
Number of blue marbles = 9
Number of yellow marbles = 8
Number of and black marbles = 6
Total number of marbles = 28
If Taylor pulled out a yellow one and didn't replce it, there'll be 27 marbles left since one has been removed, then the probability of picking blue marbles will be:
= Number of blue marbles / Total marbles
= 9 / 27
= 1/3
The probability of picking a blue marble is 1/3.
A stadium has 500 seats and 5 VIP boxes. The stadium is divided into 25 equal sections: 5 premium sections and 20 standard sections. A seat at the premium section costs $45 per game. A seat at the standard section costs $25 per game.
1. How many seats are there in each section?
What is ?
A.20º
B.70º
C.90º
D.180º
Answer:
i think it is 90
Step-by-step explanation:
remember the line is srait
Can someone help with question B please it's urgent
Answer:
| B | = - 9
Step-by-step explanation:
The determinant of a 2 by 2 matrix B = [tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right][/tex] is
| B | = ad - bc
Then for
B = [tex]\left[\begin{array}{ccc}0&1\\9&8\\\end{array}\right][/tex]
| B | = (0 × 8 ) - (1 × 9 ) = 0 - 9 = - 9
consider the expression
2⁶/2³
what is the value of the expression?
its urgent
The value of the expression is 8. I hope this helps!!!
help me please i will give brainiest!
Answer:
Latrece will keep $135
Step-by-step explanation:
First, if she sold 18 bracelets, then 18 x 4 = 72.
Latrece will give her friend $72, so 207 - 72 = 135.
Hope this helps!
At a coffee shop, the first 100 customers' orders were as follows.
What is the probability that a customer ordered a small given that he or she ordered a cold drink?
Rounded to the nearest percent
Answer:
8%
Step-by-step explanation:
Compared to the 1st 100 customers, we know that 8 of the 100 people got small cold drinks. This means the probablility someone would order a small cold drink is 8/100 which is 8 percent.
By the way, can you follow me on Brainly?
Thanks!
Answer:
32%
Step-by-step explanation:
pls answerrrrrr<3333
Answer:
[tex](x+6)(x+10)[/tex]
Step-by-step explanation:
Break the expression into groups, [tex]=(x2+6x)+(10x+60)[/tex]
Factor out x from [tex]x2+6x: x(x+6)[/tex]
Factor out 10 from [tex]10x+60: 10(x+6)[/tex]
[tex]=x(x+6)+10(x+6)[/tex]
need help!!!!!!!!!!!!!!!!!!!
Answer:Table 3 i think
Step-by-step explanation:
